document_title: Lift (force)

question_text: how does a plane wing create lift which physics concept applies

question_tokens: how does a plane wing create lift which physics concept applies

text: Lift (force)

text: Overview[edit]

text: Lift is most commonly associated with the wing of a fixed-wing aircraft, although lift is also generated by propellers, kites, helicopter rotors, rudders, sails and keels on sailboats, hydrofoils, wings on auto racing cars, wind turbines, and other streamlined objects.

text: Lift is also exploited in the animal world, and even in the plant world by the seeds of certain trees.[2] While the common meaning of the word "lift" assumes that lift opposes weight, lift in the technical sense used in this article can be in any direction with respect to gravity, since it is defined with respect to the direction of flow rather than to the direction of gravity. When an aircraft is flying straight and level (cruise) most of the lift opposes gravity.[3] However, when an aircraft is climbing, descending, or banking in a turn the lift is tilted with respect to the vertical.[4] Lift may also be entirely downwards in some aerobatic manoeuvres, or on the wing on a racing car. In this last case, the term downforce is often used. Lift may also be largely horizontal, for instance on a sail on a sailboat.

text: Aerodynamic/hydrodynamic lift is distinguished from other kinds of lift in fluids. It requires relative motion of the fluid which distinguishes it from aerostatic lift or buoyancy lift as used by balloons, blimps, dirigibles, boats and submarines. It also usually refers to situations in which the body is completely immersed in the fluid, and is thus distinguished from planing lift as used by motorboats, surfboards, and water-skis, in which only a lower portion of the body is immersed in the lifting fluid flow.

text: The lift will be explained here relative to airfoils, but hydrofoils and marine propellers basically share the same physics and works the same as airfoils, even-though differences between air and water (e.g.: density, compressibility, viscosity) do have effects.

text: Simplified physical explanations of lift on an airfoil[edit]

text: An airfoil is a streamlined shape that is capable of generating significantly more lift than drag.[5] A flat plate can generate lift, but not as much as a streamlined airfoil, and with somewhat higher drag.

text: There are several ways to explain how an airfoil generates lift. Some are more complicated or more mathematically rigorous than others; some have been shown to be incorrect.[6][7][8][9][10] For example, there are explanations based directly on Newton’s laws of motion and explanations based on Bernoulli’s principle. Either can be used to explain lift.[11][12]

text: Flow deflection and Newton's laws[edit]

text: An airfoil generates lift by exerting a downward force on the air as it flows past. According to Newton's third law, the air must exert an equal and opposite (upward) force on the airfoil, which is the lift.[13][14][15][16]

text: The air flow changes direction as it passes the airfoil and follows a path that is curved downward. According to Newton's second law, this change in flow direction requires a downward force applied to the air by the airfoil. Then, according to Newton's third law, the air must exert an upward force on the airfoil. The overall result is that a reaction force, the lift, is generated opposite to the directional change. In the case of an airplane wing, the wing exerts a downward force on the air and the air exerts an upward force on the wing.[17][18][19][20][21][22][23][25]

text: The downward turning of the flow is not produced solely by the lower surface of the airfoil, and the air flow above the airfoil accounts for much of the downward-turning action.

text: Increased flow speed and Bernoulli's principle[edit]

text: Bernoulli's principle states that within a steady airflow of constant energy, when the air flows through a region of lower pressure it speeds up and vice versa.[26] Thus, there is a direct mathematical relationship between the pressure and the speed, so if one knows the speed at all points within the airflow one can calculate the pressure, and vice versa. For any airfoil generating lift, there must be a pressure imbalance, i.e. lower average air pressure on the top than on the bottom. Bernoulli's principle states that this pressure difference must be accompanied by a speed difference.

text: Conservation of mass[edit]

text: Starting with the flow pattern observed in both theory and experiments, the increased flow speed over the upper surface can be explained in terms of streamtube pinching and conservation of mass.[24]

text: The streamlines divide the flow around the airfoil into streamtubes as depicted by the spaces between the streamlines in the adjacent diagram. By definition, fluid never crosses a streamline in a steady flow. Assuming that the air is incompressible, the rate of volume flow (e.g. liters or gallons per minute) must be constant within each streamtube since matter is not created or destroyed. If a streamtube becomes narrower, the flow speed must increase in the narrower region to maintain the constant flow rate. This is an application of the principle of conservation of mass.[27]

text: The picture shows that the upper stream tubes constrict as they flow up and around the airfoil. Conservation of mass says that the flow speed must increase as the stream tube area decreases.[24] Similarly, the lower stream tubes expand and the flow slows down.

text: From Bernoulli's principle, the pressure on the upper surface where the flow is moving faster is lower than the pressure on the lower surface where it is moving slower. This pressure difference creates a net aerodynamic force, pointing upward.

text: Limitations of explanations based on Bernoulli's principle[edit]

text:
The explanation above does not explain why the streamtubes change size. To see why the air flows the way it does requires more sophisticated analysis.[28][29][30]
Sometimes a geometrical argument is offered to demonstrate why the streamtubes change size: it is asserted that the top "obstructs" or "constricts" the air more than the bottom, hence narrower streamtubes. For conventional wings that are flat on the bottom and curved on top this makes some intuitive sense. But it does not explain how flat plates, symmetric airfoils, sailboat sails, or conventional airfoils flying upside down can generate lift, and attempts to calculate lift based on the amount of constriction do not predict experimental results.[31][32][33][34]
A common explanation using Bernoulli's principle asserts that the air must traverse both the top and bottom in the same amount of time and that this explains the increased speed on the (longer) top side of the wing. But this assertion is false; it is typically the case that the air parcels traveling over the upper surface will reach the trailing edge before those traveling over the bottom.[35]

tag: ul

text: Basic attributes of lift[edit]

text: Lift is a result of pressure differences and depends on angle of attack, airfoil shape, air density, and airspeed.

text: Pressure differences[edit]

text: Pressure is the normal force per unit area exerted by the air on itself and on surfaces that it touches. The lift force is transmitted through the pressure, which acts perpendicular to the surface of the airfoil. The air maintains physical contact at all points. Thus, the net force manifests itself as pressure differences. The direction of the net force implies that the average pressure on the upper surface of the airfoil is lower than the average pressure on the underside.[36]

text: These pressure differences arise in conjunction with the curved air flow. Whenever a fluid follows a curved path, there is a pressure gradient perpendicular to the flow direction with higher pressure on the outside of the curve and lower pressure on the inside.[37] This direct relationship between curved streamlines and pressure differences was derived from Newton's second law by Leonhard Euler in 1754:

text: The left hand side of this equation represents the pressure difference perpendicular to the fluid flow. On the right hand side ρ is the density, v is the velocity, and R is the radius of curvature. This formula shows that higher velocities and tighter curvatures create larger pressure differentials and that for straight flow (R → ∞) the pressure difference is zero.[38]

text: Angle of attack[edit]

text: The angle of attack is the angle between the chord line of an airfoil and the oncoming air. A symmetrical airfoil will generate zero lift at zero angle of attack. But as the angle of attack increases, the air is deflected through a larger angle and the vertical component of the airstream velocity increases, resulting in more lift. For small angles a symmetrical airfoil will generate a lift force roughly proportional to the angle of attack.[39][40]

text: As the angle of attack grows larger, the lift reaches a maximum at some angle; increasing the angle of attack beyond this critical angle of attack causes the upper-surface flow to separate from the wing; there is less deflection downward so the airfoil generates less lift. The airfoil is said to be stalled.[41]

text: Airfoil shape[edit]

text: The lift force depends on the shape of the airfoil, especially the amount of camber (curvature such that the upper surface is more convex than the lower surface, as illustrated at right). Increasing the camber generally increases lift.[42][43]

text: Cambered airfoils will generate lift at zero angle of attack. When the chord line is horizontal, the trailing edge has a downward direction and since the air follows the trailing edge it is deflected downward.[44] When a cambered airfoil is upside down, the angle of attack can be adjusted so that the lift force is upwards. This explains how a plane can fly upside down.[45][46]

text: The wings of birds and most subsonic aircraft have spans much larger than their chords. For wings of this general shape (often referred to as having a high aspect ratio), the most important features of the lifting flow can be explained in terms of the two-dimensional flow around an airfoil, which is just the shape of a cross-section of the wing, as illustrated in the drawing at right.[47] Most of the discussion in this article concentrates on two-dimensional airfoil flow. However, the flow around a three-dimensional wing involves significant additional issues, and these are discussed below under Lift of three dimensional wings. For a wing of low aspect ratio, such as a delta wing, two-dimensional airfoil flow is not relevant, and three-dimensional flow effects dominate.[48]

text: Air speed and density[edit]

text: The flow conditions also affect lift. Lift is proportional to the density of the air and approximately proportional to the square of the flow speed. Lift also depends on the size of the wing, being generally proportional to the wing's area projected in the lift direction. In aerodynamic theory and engineering calculations it is often convenient to quantify lift in terms of a "Lift coefficient" defined in a way that makes use of these proportionalities.

text: Lift coefficient[edit]

text: If the lift coefficient for a wing at a specified angle of attack is known (or estimated using a method such as thin airfoil theory), then the lift produced for specific flow conditions can be determined using the following equation:[49]

text: where

text:
L is lift force,
ρ is air density,
v is true airspeed,
S is the wing area, and

C

L

{\displaystyle C_{L}}

 is the lift coefficient at the desired angle of attack, Mach number, and Reynolds number[50]

text: Pressure integration[edit]

text: When the pressure distribution on the airfoil surface is known, determining the total lift requires adding up the contributions to the pressure force from local elements of the surface, each with its own local value of pressure. The total lift is thus the integral of the pressure, in the direction perpendicular to the farfield flow, over the entire surface of the airfoil or wing.[51]

text:
L
=
∮
p

n

⋅

k

d

S
,

{\displaystyle L=\oint p\mathbf {n} \cdot \mathbf {k} \;\mathrm {d} S,}

text: where:

text:
L is the lift,
S is the wing surface area
p is the value of the pressure,
n is the normal unit vector pointing into the wing, and
k is the vertical unit vector, normal to the freestream direction.

text: The above lift equation neglects the skin friction forces, which typically have a negligible contribution to the lift compared to the pressure forces. By using the streamwise vector i parallel to the freestream in place of k in the integral, we obtain an expression for the pressure drag Dp (which includes the pressure portion of the profile drag and, if the wing is three-dimensional, the induced drag). If we use the spanwise vector j, we obtain the side force Y.

text: The validity of this integration generally requires the airfoil shape to be a closed curve that is piecewise smooth.

text: A more comprehensive physical explanation[edit]

text: As described above, there are two main popular explanations of lift, one based on downward deflection of the flow combined with Newton's laws, and one based on changes in flow speed combined with Bernoulli's principle. Either of these, by itself, correctly identifies some aspects of the lifting flow but leaves other important aspects of the phenomenon unexplained. A more comprehensive explanation involves both downward deflection and changes in flow speed, and requires looking at the flow in more detail.[52]

text: Lift involves action and reaction at the airfoil surface and is felt as a pressure difference[edit]

text: The airfoil shape and angle of attack work together so that the airfoil exerts a downward force on the air as it flows past. According to Newton's third law, the air must then exert an equal and opposite (upward) force on the airfoil, which is the lift.[14][15]

text: The force is exerted by the air as a pressure difference on the airfoil's surfaces.[53] Pressure in a fluid is always positive in an absolute sense,[54] so that pressure must always be thought of as pushing, and never as pulling. The pressure thus pushes inward on the airfoil everywhere on both the upper and lower surfaces. The flowing air reacts to the presence of the wing by reducing the pressure on the wing's upper surface and increasing the pressure on the lower surface. The pressure on the lower surface pushes up harder than the reduced pressure on the upper surface pushes down, and the net result is upward lift.[53]

text: The pressure difference that exerts lift acts directly on the airfoil surfaces. But understanding how the pressure difference is produced requires understanding what the flow does over a wider area.

text: The airfoil affects the flow over a wide area around it[edit]

text: An airfoil affects the speed and direction of the flow over a wide area. When an airfoil produces lift, the flow ahead of the airfoil is deflected upward, the flow above and below the airfoil is deflected downward, and the flow behind the airfoil is deflected upward again, leaving the air far behind the airfoil flowing in the same direction as the oncoming flow far ahead. The flow above the upper surface is always sped up, and the flow below the airfoil is usually slowed down. The downward deflection and the changes in flow speed are pronounced and extend over a wide area, as can be seen in the flow animation on the right. These differences in the direction and speed of the flow are greatest close to the airfoil and decrease gradually far above and below. All of these features of the velocity field also appear in theoretical models for lifting flows.[55][56]

text: The pressure is also affected over a wide area. When an airfoil produces lift, there is always a diffuse region of low pressure above the airfoil, and there is usually a diffuse region of high pressure below, as illustrated by the isobars (curves of constant pressure) in the drawing. The pressure difference that acts on the surface is just part of this spread-out pattern of non-uniform pressure.[52]

text: The pressure differences and the changes in flow speed and direction support each other in a mutual interaction[edit]

text: The non-uniform pressure exerts forces on the air in the direction from higher pressure to lower pressure. The direction of the force is different at different locations around the airfoil, as indicated by the block arrows in the pressure distribution with isobars figure. Air above the airfoil is pushed toward the center of the low-pressure region, and air below the airfoil is pushed outward from the center of the high-pressure region.

text: According to Newton's second law, a force causes air to accelerate in the direction of the force. Thus the vertical arrows in the pressure distribution with isobars figure indicate that air above and below the airfoil is accelerated, or turned downward, and that the non-uniform pressure is thus the cause of the downward deflection of the flow visible in the flow animation. To produce this downward turning, the airfoil must have a positive angle of attack or have its rear portion curved downward as on an airfoil with camber. Note that the downward turning of the flow over the upper surface is the result of the air being pushed downward by higher pressure above it than below it.

text: The arrows ahead of the airfoil indicate that the flow ahead of the airfoil is deflected upward, and the arrows behind the airfoil indicate that the flow behind is deflected upward again, after being deflected downward over the airfoil. These deflections are also visible in the flow animation.

text: The arrows ahead of the airfoil and behind also indicate that air passing through the low-pressure region above the airfoil is sped up as it enters, and slowed back down as it leaves. Air passing through the high-pressure region below the airfoil sees the opposite: It is slowed down and then sped back up. Thus the non-uniform pressure is also the cause of the changes in flow speed visible in the flow animation. The changes in flow speed are consistent with Bernoulli's principle, which states that in a steady flow without viscosity, lower pressure means higher speed, and higher pressure means lower speed.

text: Thus changes in flow direction and speed are directly caused by the non-uniform pressure. But this cause-and-effect relationship is not just one-way; it works in both directions simultaneously. The air's motion is affected by the pressure differences, but the existence of the pressure differences depends on the air's motion. The relationship is thus a mutual, or reciprocal, interaction: Air flow changes speed or direction in response to pressure differences, and the pressure differences are sustained by the air's resistance to changing speed or direction.[57] A pressure difference can exist only if something is there for it to push against. In the case of an aerodynamic flow, what a pressure difference pushes against is the inertia of the air, as the air is accelerated by the pressure difference.[52] And this is why the mass of the air is important, and why lift depends on air density.

text: In summary, sustaining the pressure difference that exerts the lift force on the airfoil surfaces requires sustaining a pattern of non-uniform pressure spread over a wide area around the airfoil. This requires maintaining pressure differences in both the vertical and horizontal directions, and thus requires both downward turning of the flow and changes in flow speed according to Bernoulli's principle. The pressure differences and the changes in flow direction and speed sustain each other in a mutual interaction. The pressure differences follow naturally from Newton's second law and from the fact that the flow along the surface naturally follows the predominantly downward-sloping contours of the airfoil. And the fact that the air has mass is crucial to the interaction.[52]

text: The understanding of lift as a physical phenomenon[edit]

text: The scientific understanding of lift is based on mathematical theories of continuum fluid mechanics[58][59][60] that are in turn based on established principles of physics, as discussed below under "Mathematical theories of lift". The applications of these theories to aerodynamic flows have been agreed upon by the scientific and engineering communities since the early 20th century.[61][62] Starting with just the shape of the lifting surface and the general flow conditions (airspeed, density, and angle of attack), the existence of lift, the amount of lift, and all of the important details of the lifting flow have been predicted successfully by the theories. Thus lift can be considered to be thoroughly understood in a scientific sense. Furthermore, the quantitative theories provide useful quantitative information for engineering purposes.

text: Simplified physical explanations of lift, without mathematics, are also useful for purposes of understanding, especially by non-technical audiences. These qualitative explanations are by their nature less rigorous and are thus not as well established as the mathematical theories, and they cannot provide quantitative information for engineering. A difficulty in devising such explanations is finding a satisfactory balance between completeness on one hand, and simplicity and brevity on the other. Fluid flows in general are complex phenomena, and simplified explanations are seldom completely satisfactory. Many different explanations of lift have been proposed, reflecting different choices of what aspect of the flow to emphasize. In many cases, oversimplification has led to incompleteness and/or outright errors.[6][8][9][10] There has been a long history of disagreement and controversy, even into recent years, but only regarding the qualitative explanations, not the science itself.[63][64][65]

text: Mathematical theories of lift[edit]

text: The mathematical theories are based on continuum fluid mechanics, in which it is assumed that air flows as if it were a continuous fluid. Lift is generated in accordance with the fundamental principles of physics, the most relevant being the following three principles:[66]

text:
Conservation of momentum, which is a direct consequence of Newton's laws of motion, especially Newton's second law which relates the net force on an element of air to its rate of momentum change,
Conservation of Mass, including the common assumption that the airfoil's surface is impermeable for the air flowing around, and
Conservation of energy, which says that energy is neither created nor destroyed.

text: Because an airfoil affects the flow in a wide area around it, these physical principles must be enforced at all points throughout an extended region. To do this requires expressing the conservation principles in the form of partial-differential equations combined with a set of boundary conditions (requirements the flow has to satisfy at the airfoil surface and far away from the airfoil).[67]

text: To predict lift requires solving the equations for a particular airfoil shape and flow condition, which generally requires calculations that are so voluminous that they are practical only on a computer, through the methods of Computational Fluid Dynamics (CFD). Determining the net aerodynamic force from a CFD solution requires "adding up" (integrating) the forces due to pressure and shear determined by the CFD over every surface element of the airfoil as described under "Pressure integration".

text: The Navier-Stokes equations (NS) provide the potentially most accurate theory of lift, but in practice, capturing the effects of turbulence in the boundary layer on the airfoil surface requires sacrificing some accuracy and using the Reynolds-Averaged Navier-Stokes equations (RANS), as explained below. Simpler but less accurate theories have also been developed and are described below.

text: Navier-Stokes (NS) equations[edit]

text: These equations represent conservation of mass, Newton's second law (conservation of momentum), conservation of energy, the Newtonian law for the action of viscosity, the Fourier heat conduction law, an equation of state relating density, temperature, and pressure, and formulas for the viscosity and thermal conductivity of the fluid.[68] [69]

text: In principle, the NS equations, combined with boundary conditions of no through-flow and no slip at the airfoil surface, could be used to predict lift in any situation in ordinary atmospheric flight with high accuracy. However, lifting flows in practical situations always involve turbulence in the boundary layer next to the airfoil surface, at least over the aft portion of the airfoil. Predicting lift by solving the NS equations in their raw form would require the calculations to resolve the details of the turbulence, down to the smallest eddy. This is not yet possible, even on the most powerful current computer.[70] So in principle the NS equations provide a complete and very accurate theory of lift, but practical prediction of lift requires that the effects of turbulence be modeled in the RANS equations rather than computed directly.

text: Reynolds-Averaged Navier-Stokes (RANS) equations[edit]

text: These are the NS equations with the turbulence motions averaged over time, and the effects of the turbulence on the time-averaged flow represented by turbulence modeling (an additional set of equations based on a combination of dimensional analysis and empirical information on how turbulence affects a boundary layer in a time-averaged average sense).[71][72] A RANS solution consists of the time-averaged velocity vector, pressure, density, and temperature defined at a dense grid of points surrounding the airfoil.

text: The amount of computation required is a minuscule fraction (billionths)[70] of what would be required to resolve all of the turbulence motions in a raw NS calculation, and with large computers available it is now practical to carry out RANS calculations for complete airplanes in three dimensions. Because turbulence models are not perfect, the accuracy of RANS calculations is imperfect, but it is good enough to be very helpful to airplane designers. Lift predicted by RANS is usually within a few percent of the actual lift.

text: Inviscid-flow equations (Euler or potential)[edit]

text: The Euler equations are the NS equations with the viscosity, heat conduction, and turbulence effects deleted.[73] As with a RANS solution, an Euler solution consists of the velocity vector, pressure, density, and temperature defined at a dense grid of points surrounding the airfoil. While the Euler equations are simpler than the NS equations, they still do not lend themselves to exact analytic solutions. Further simplification is available through potential flow theory, which reduces the number of unknowns that must be solved for and makes analytic solutions possible in some cases, as described below.

text: Either Euler or potential-flow calculations predict the pressure distribution on the airfoil surfaces roughly correctly for angles of attack below stall, where they might miss the total lift by as much as 10-20%. At angles of attack above stall, inviscid calculations do not predict that stall has happened, and as a result they grossly overestimate the lift.

text: In potential-flow theory, the flow is assumed to be irrotational, i.e. that small fluid parcels have no net rate of rotation. Mathematically, this is expressed by the statement that the curl of the velocity vector field is everywhere equal to zero. Irrotational flows have the convenient property that the velocity can be expressed as the gradient of a scalar function called a potential. A flow represented in this way is called potential flow.[74][75][76][77]

text: In potential-flow theory, the flow is usually further assumed to be incompressible. Incompressible potential-flow theory has the advantage that the equation (Laplace's equation) to be solved for the potential is linear, which allows solutions to be constructed by superposition of other known solutions. The incompressible-potential-flow equation can also be solved by conformal mapping, a method based on the theory of functions of a complex variable. In the early 20th century, before computers were available, conformal mapping was used to generate solutions to the incompressible potential-flow equation for a class of idealized airfoil shapes, providing some of the first practical theoretical predictions of the pressure distribution on a lifting airfoil.

text: A solution of the potential equation directly determines only the velocity field. The pressure field is deduced from the velocity field through Bernoulli's equation.

text: Applying potential-flow theory to a lifting flow requires special treatment and an additional assumption. The problem arises because lift on an airfoil in inviscid flow requires circulation in the flow around the airfoil (See "Circulation and the Kutta-Joukowski theorem" below), but a single potential function that is continuous throughout the domain around the airfoil cannot represent a flow with nonzero circulation. The solution to this problem is to introduce a branch cut, a curve or line from some point on the airfoil surface out to infinite distance, and to allow a jump in the value of the potential across the cut. The jump in the potential imposes circulation in the flow equal to the potential jump and thus allows nonzero circulation to be represented. However, the potential jump is a free parameter that is not determined by the potential equation or the other boundary conditions, and the solution is thus indeterminate. A potential-flow solution exists for any value of the circulation and any value of the lift. One way to resolve this indeterminacy is to impose the Kutta condition,[78][79] which is that, of all the possible solutions, the physically reasonable solution is the one in which the flow leaves the trailing edge smoothly. The streamline sketches illustrate one flow pattern with zero lift, in which the flow goes around the trailing edge and leaves the upper surface ahead of the trailing edge, and another flow pattern with positive lift, in which the flow leaves smoothly at the trailing edge in accordance with the Kutta condition.

text: Linearized potential flow[edit]

text: This is potential-flow theory with the further assumptions that the airfoil is very thin and the angle of attack is small.[80] The linearized theory predicts the general character of the airfoil pressure distribution and how it is influenced by airfoil shape and angle of attack, but is not accurate enough for design work. For a 2D airfoil, such calculations can be done in a fraction of a second in a spreadsheet on a PC.

text: Circulation and the Kutta-Joukowski theorem[edit]

text: The Kutta-Joukowski theorem relates the lift on an airfoil to a circulatory component (circulation) of the flow around the airfoil.[55][81][82] Kutta-Joukowski is not a complete theory of lift in the same sense as those listed above because it does not predict how much circulation or lift a given airfoil will produce. Calculating the lift from Kutta-Joukowski requires a known value for the circulation.

text:
The circulation

Γ

{\displaystyle \Gamma }

 is the contour integral of the tangential velocity of the air on a closed loop (also called a 'circuit') around the boundary of an airfoil. It can be understood as the total amount of "spinning" (or vorticity) of air around the airfoil. The section lift/span

L
′

{\displaystyle L'}

 can be calculated using the Kutta–Joukowski theorem:[18]

text:
where

ρ

{\displaystyle \rho }

 is the air density,

v

{\displaystyle v}

 is the free-stream airspeed.

text: Several components of the overall velocity field contribute to the circulation: the upward flow ahead of the airfoil, the accelerated flow above the airfoil, the decelerated flow below the airfoil, and the downward flow behind the airfoil. One derivation of the Kutta-Joukowski theorem involves integrating the fluxes of vertical momentum ahead of the airfoil and behind (on vertical planes extending to large distances above and below), taking the difference, and showing that the result is related to both the lift and the circulation. The flux of upward momentum ahead of the airfoil is found to account for half the lift, and the flux of downward momentum behind the airfoil is found to account for the other half, a result that also applies to three-dimensional wings.[55][81][82]

text: The Kutta-Joukowski theorem is a key element in an explanation of lift that follows the development of the flow around an airfoil as the airfoil starts its motion from rest and a starting vortex is formed and left behind, leading to the formation of circulation around the airfoil.[83][84][85] Lift is then inferred from the Kutta-Joukowski theorem. This explanation is largely mathematical, and its general progression is based on logical inference, not physical cause-and-effect.[86]

text: The circulation around a conventional airfoil, and hence the lift it generates, is dictated by both its design and the flight conditions, such as forward velocity and angle of attack. Lift can be increased by artificially increasing the circulation, for example by boundary-layer blowing or the use of blown flaps. In the Flettner rotor the entire airfoil is circular and spins about a spanwise axis to create the circulation.

text: Momentum balance in lifting flows[edit]

text: The flow around a lifting airfoil must satisfy Newton's second law, or conservation of momentum, both locally at every point in the flow field, and in an integrated sense over any extended region of the flow. For an extended region, Newton's second law takes the form of the momentum theorem for a control volume, where a control volume can be any region of the flow chosen for analysis. The momentum theorem states that the integrated force exerted at the boundaries of the control volume (a surface integral), is equal to the integrated time rate of change (material derivative) of the momentum of fluid parcels passing through the interior of the control volume (a volume integral).[not in citation given (See discussion.)] For a steady flow, the volume integral can be replaced by the net surface integral of the flux of momentum through the boundary via Stokes' theorem.[87]

text:
The lifting flow around a 2D airfoil is usually analyzed in a control volume that completely surrounds the airfoil, so that the inner boundary of the control volume is the airfoil surface, where the downward force per unit span

−

L
′

{\displaystyle -L'}

 is exerted on the fluid by the airfoil. The outer boundary is usually either a large circle or a large rectangle. At this outer boundary distant from the airfoil, the velocity and pressure are well represented by the velocity and pressure associated with a uniform flow plus a vortex, and viscous stress is negligible, so that the only force that must be integrated over the outer boundary is the pressure.[88][89][90] The free-stream velocity is usually assumed to be horizontal, with lift vertically upward, so that the vertical momentum is the component of interest.

text:
For the free-air case (no ground plane), it is found that the force

−

L
′

{\displaystyle -L'}

 exerted by the airfoil on the fluid is manifested partly as momentum fluxes and partly as pressure differences at the outer boundary, in proportions that depend on the shape of the outer boundary, as shown in the diagram at right. For a flat horizontal rectangle that is much longer than it is tall, the fluxes of vertical momentum through the front and back are negligible, and the lift is accounted for entirely by the integrated pressure differences on the top and bottom.[88] For a square or circle, the momentum fluxes and pressure differences account for half the lift each.[88][89][90] For a vertical rectangle that is much taller than it is wide, the unbalanced pressure forces on the top and bottom are negligible, and lift is accounted for entirely by momentum fluxes, with a flux of upward momentum that enters the control volume through the front accounting for half the lift, and a flux of downward momentum that exits the control volume through the back accounting for the other half.[88]

text: The results of all of the control-volume analyses described above are consistent with the Kutta-Joukowski theorem described in the previous subsection. Both the tall rectangle and circle control volumes have been used in derivations of the theorem.[89][90]

text: When a ground plane is present, there is a pattern of higher-than-ambient pressure on the ground below an airplane in flight, as shown on the right[91] For steady, level flight, the integrated pressure force associated with this pattern is equal to the total aerodynamic lift of the airplane and to the airplane's weight. According to Newton's third law, this pressure force exerted on the ground by the air is matched by an equal-and-opposite upward force exerted on the air by the ground, which offsets all of the downward force exerted on the air by the airplane. The net force due to the lift, acting on the atmosphere as a whole, is therefore zero, and there is thus no integrated accumulation of vertical momentum in the atmosphere.[92]

text: Lift of three-dimensional wings[edit]

text: For wings of moderate-to-high aspect ratio, the flow at any station along the span except close to the tips behaves much like flow around a two-dimensional airfoil, and most explanations of lift, like those above, concentrate on two-dimensional flow. However, even for wings of high aspect ratio, the three-dimensional effects associated with finite span are significant across the whole span, not just close to the tips.

text: The lift tends to decrease in the spanwise direction from root to tip, and the pressure distributions around the airfoil sections change accordingly in the spanwise direction. Pressure distributions in planes perpendicular to the flight direction tend to look like the illustration at right.[93] This spanwise-varying pressure distribution is sustained by a mutual interaction with the velocity field. Flow below the wing is accelerated outboard, flow outboard of the tips is accelerated upward, and flow above the wing is accelerated inboard, which results in the flow pattern illustrated at right.[94]

text: There is more downward turning of the flow than there would be in a two-dimensional flow with the same airfoil shape and sectional lift, and a higher sectional angle of attack is required to achieve the same lift compared to a two-dimensional flow.[95] The wing is effectively flying in a downdraft of its own making, as if the freestream flow were tilted downward, with the result that the total aerodynamic force vector is tilted backward slightly compared to what it would be in two dimensions. The additional backward component of the force vector is called lift-induced drag.

text: The difference in the spanwise component of velocity above and below the wing (between being in the inboard direction above and in the outboard direction below) persists at the trailing edge and into the wake downstream. After the flow leaves the trailing edge, this difference in velocity takes place across a relatively thin shear layer called a vortex sheet. As the vortex sheet is convected downstream from the trailing edge, it rolls up at its outer edges, eventually forming distinct wingtip vortices. The combination of the wingtip vortices and the vortex sheets feeding them is called the vortex wake.

text: In addition to the vorticity in the trailing vortex wake there is vorticity in the wing's boundary layer, which is often called the bound vorticity and which connects the trailing sheets from the two sides of the wing into a vortex system in the general form of a horseshoe. The horseshoe form of the vortex system was recognized by the British aeronautical pioneer Lanchester in 1907.[96]

text: Given the distribution of bound vorticity and the vorticity in the wake, the Biot-Savart law (a vector-calculus relation) can be used to calculate the velocity perturbation anywhere in the field, caused by the lift on the wing. Approximate theories for the lift distribution and lift-induced drag of three-dimensional wings are based on such analysis applied to the wing's horseshoe vortex system.[97][98] In these theories, the bound vorticity is usually idealized and assumed to reside at the camber surface inside the wing.

text: Because the velocity is deduced from the vorticity in such theories, there is a tendency for some authors to describe the situation in terms that imply that the vorticity is the cause of the velocity perturbations, using terms such as "the velocity induced by the vortex," for example.[99] But attributing causation to the vorticity in this way is not consistent with the physics. The real cause of the velocity perturbations is the pressure field.[100][101][102]

text: Viscous effects: Profile drag and stalling[edit]

text: No matter how smooth the surface of an airfoil seems, any real surface is rough on the scale of air molecules. Air molecules flying into the surface bounce off the rough surface in random directions not related to their incoming directions. The result is that when the air is viewed as if it were a continuous material, it is seen to be unable to slide along the surface, and the air's tangential velocity at the surface goes to practically zero, something known as the no-slip condition.[103] Because the air at the surface has near-zero velocity, and air away from the surface is moving, there is a thin boundary layer in which the air close to the surface is subjected to a shearing motion.[104][105] The air's viscosity resists the shearing, giving rise to a shear stress at the airfoil's surface called skin-friction drag. Over most of the surface of most airfoils, the boundary layer is naturally turbulent, which increases skin-friction drag.[105][106]

text: Under usual flight conditions, the boundary layer remains attached to both the upper and lower surfaces all the way to the trailing edge, and its effect on the rest of the flow is modest. Compared to the predictions of inviscid-flow theory, in which there is no boundary layer, the attached boundary layer reduces the lift by a modest amount and modifies the pressure distribution somewhat, which results in a viscosity-related pressure drag over and above the skin-friction drag. The total of the skin-friction drag and the viscosity-related pressure drag is usually called the profile drag.[106][107]

text: The maximum lift an airfoil can produce at a given airspeed is limited by boundary-layer separation. As the angle of attack is increased, a point is reached where the boundary layer can no longer remain attached to the upper surface. When the boundary layer separates, it leaves a region of recirculating flow above the upper surface, as illustrated in the flow-visualization photo at right. This is known as the stall, or stalling. At angles of attack above the stall, lift is significantly reduced, though it is not zero. The maximum lift that can be achieved before stall, in terms of the lift coefficient, is generally less than 2.0 for single-element airfoils and can be more than 3.0 for airfoils with high-lift slotted flaps deployed.[108]

text: Lift forces on bluff bodies[edit]

text: The flow around bluff bodies – i.e. without a streamlined shape, or stalling airfoils – may also generate lift, besides a strong drag force. This lift may be steady, or it may oscillate due to vortex shedding. Interaction of the object's flexibility with the vortex shedding may enhance the effects of fluctuating lift and cause vortex-induced vibrations.[109] For instance, the flow around a circular cylinder generates a Kármán vortex street: vortices being shed in an alternating fashion from each side of the cylinder. The oscillatory nature of the flow is reflected in the fluctuating lift force on the cylinder, whereas the mean lift force is negligible. The lift force frequency is characterised by the dimensionless Strouhal number, which depends (among others) on the Reynolds number of the flow.[110][111]

text: For a flexible structure, this oscillatory lift force may induce vortex-induced vibrations. Under certain conditions – for instance resonance or strong spanwise correlation of the lift force – the resulting motion of the structure due to the lift fluctuations may be strongly enhanced. Such vibrations may pose problems and threaten collapse in tall man-made structures like industrial chimneys.[109]

text: In the Magnus effect, a lift force is generated by a spinning cylinder in a freestream. Here the mechanical rotation acts on the boundary layer, causing it to separate at different locations on the two sides of the cylinder. The asymmetric separation changes the effective shape of the cylinder as far as the flow is concerned such that the cylinder acts like a lifting airfoil with circulation in the outer flow.[112]

text: Alternative explanations, misconceptions, and controversies[edit]

text: Many other alternative explanations for the generation of lift by an airfoil have been put forward, a few of which are presented here. Most of them are intended to explain the phenomenon of lift to a general audience. Although the explanations may share features in common with the explanations above, additional assumptions and simplifications may be introduced. This can reduce the validity of an alternative explanation to a limited sub-class of lift generating conditions, or might not allow a quantitative analysis. Several theories introduce assumptions which proved to be wrong, like the equal transit-time theory.

text: False explanation based on equal transit-time[edit]

text: Basic or popular sources often describe the "equal transit-time" theory of lift, which incorrectly assumes that the parcels of air that divide at the leading edge of an airfoil must rejoin at the trailing edge, forcing the air traveling along the longer upper surface to go faster. Bernoulli's Principle is then cited to conclude that since the air moves slower along the bottom of the wing, the air pressure must be higher, pushing the wing up.[113]

text: However, there is no physical principle that requires equal transit time and experimental results show that this assumption is false.[114][115][116][117][118][119] In fact, the air moving over the top of an airfoil generating lift moves much faster than the equal transit theory predicts.[120] Further, the theory violates Newton's third law of motion, since it describes a force on the wing with no opposite force.[121]

text: The assertion that the air must arrive simultaneously at the trailing edge is sometimes referred to as the "Equal Transit-Time Fallacy".[122][123][124][125][126]

text: Controversy regarding the Coandă effect[edit]

text: In its original sense, the Coandă effect refers to the tendency of a fluid jet to stay attached to an adjacent surface that curves away from the flow, and the resultant entrainment of ambient air into the flow. The effect is named for Henri Coandă, the Romanian aerodynamicist who exploited it in many of his patents.

text: More broadly, some consider the effect to include the tendency of any fluid boundary layer to adhere to a curved surface, not just the boundary layer accompanying a fluid jet. It is in this broader sense that the Coandă effect is used by some to explain why the air flow remains attached to the top side of an airfoil.[127] Jef Raskin,[128] for example, describes a simple demonstration, using a straw to blow over the upper surface of a wing. The wing deflects upwards, thus demonstrating that the Coandă effect creates lift. This demonstration correctly demonstrates the Coandă effect as a fluid jet (the exhaust from a straw) adhering to a curved surface (the wing). However, the upper surface in this flow is a complicated, vortex-laden mixing layer, while on the lower surface the flow is quiescent. The physics of this demonstration are very different from that of the general flow over the wing.[129] The usage in this sense is encountered in some popular references on aerodynamics.[127][128] This is a controversial use of the term "Coanda effect." The more established view in the aerodynamics field is that the Coandă effect is defined in the more limited sense above,[129][130][131] and the flow following the upper surface simply reflects an absence of boundary-layer separation and is not an example of the Coandă effect.[132][133][134][135]

text: Misconception regarding the role of viscosity[edit]

text: Explanations that use the term "Coandă effect" sometimes further assert that the viscosity of the flow in the boundary layer is responsible for the ability of the flow to follow the convex upper surface.[136][137] However, the idea that viscosity plays a significant role in flow turning is not consistent with the physics of curved boundary-layer flows. Analysis of the momentum balance in the flow in the boundary layer shows that the flow curvature is caused almost exclusively by the pressure gradient and that viscosity plays practically no direct role in the ability of the flow to follow a curved surface.[138]

text: Misconception regarding "pulling down" of the flow[edit]

text: Explanations that refer to the Coandă effect sometimes also refer to the flow over the upper surface as "sticking" to the airfoil and being "pulled down" to follow the surface.[136] Taken literally, this description is not consistent with the physics of gasses. For air to be pulled in the literal sense, it would have to be put in tension (negative pressure). The kinetic theory of gasses shows that in a gas at a positive absolute temperature the pressure cannot be negative.[54] Thus for the flow to curve downward over the upper surface, it must be pushed down by higher pressure above than below.[139] The difference in pressure between the flow at the upper surface itself and the flow far above the airfoil is generally small compared with the background atmospheric pressure, so that the lowest pressure on the airfoil upper surface is still strongly positive in an absolute sense.[140]


document_title: Tithe

question_text: where was tithe first recorded in the bible

question_tokens: where was tithe first recorded in the bible

root

text: Tithe

text: Ancient Near East[edit]

text: None of the extant extrabiblical laws of the Ancient Near East deal with tithing, although other secondary documents show that it was a widespread practice in the Ancient Near East.[3] William W. Hallo (1996[4]) recognises comparisons for Israel with its ancient Near Eastern environment, however, as regards tithes, comparisons with other ancient Near Eastern evidence is ambiguous,[5] and Ancient Near Eastern literature provides scant evidence for the practice of tithing and the collection of tithes.[6]

tag: p

text: The esretu – "ešretū" the Ugarit and Babylonian one-tenth tax[edit]

text: Listed below are some specific instances of the Mesopotamian tithe, taken from The Assyrian Dictionary of the Oriental Institute of the University of Chicago, Vol. 4 "E" p. 369:[7]

text: Hebrew Bible[edit]

text: Hebrew is a Semitic language, related to Akkadian, the lingua franca of that time.[8]

text: Patriarchs[edit]

text: In Genesis 14:18–20, Abraham, after rescuing Lot, met with Melchizedek. After Melchizedek's blessing, Abraham gave him a tenth of everything he has obtained from battle:

text: "Then Melchizedek king of Salem brought out bread and wine. He was priest of God Most High, and he blessed Abram, saying, “Blessed be Abram by God Most High, Creator of heaven and earth. And praise be to God Most High, who delivered your enemies into your hand.” Then Abram gave him a tenth of everything.”

text: In Genesis 28:12–22, Jacob, after his visionary dream of Jacob's Ladder and receiving a blessing from God, promises God a tenth:

text: "Then Jacob awoke from his sleep and said, “Surely the Lord is in this place, and I did not know it.” And he was afraid and said, “How awesome is this place! This is none other than the house of God, and this is the gate of heaven.” So early in the morning Jacob took the stone that he had put under his head and set it up for a pillar and poured oil on the top of it. He called the name of that place Bethel, but the name of the city was Luz at the first. Then Jacob made a vow, saying, “If God will be with me and will keep me in this way that I go, and will give me bread to eat and clothing to wear, so that I come again to my father's house in peace, then the Lord shall be my God, and this stone, which I have set up for a pillar, shall be God's house. And of all that you give me I will give a full tenth to you.”

text: Mosaic law[edit]

text: The tithe is specifically mentioned in the Books of Leviticus, Numbers and Deuteronomy. The tithe system was organized in a three-year cycle, corresponding to the Shemittah-cycle. These tithes were in reality more like taxes for the people of Israel and were mandatory, not optional giving. This tithe was distributed locally "within thy gates" (Deuteronomy 14:28) to support the Levites and assist the poor.

text: Every year, Bikkurim, Terumah, Ma'aser Rishon and Terumat Ma'aser were separated from the grain, wine and oil (Deuteronomy 14:22). (As regards other fruit and produce, the Biblical requirement to tithe is a source of debate.) The first tithe is giving of one tenth of agricultural produce (after the giving of the standard terumah) to the Levite (or Aaronic priests). Historically, during the First Temple period, the first tithe was given to the Levites. Approximately at the beginning of the Second Temple construction, Ezra and his Beth din implemented its giving to the kohanim.[9][10]

text: Unlike other offerings which were restricted to consumption within the tabernacle, the second tithe could be consumed anywhere . On years one, two, four and five of the Shemittah-cycle, God commanded the Children of Israel to take a second tithe that was to be brought to the place of the Temple (Deuteronomy 14:23). The owner of the produce was to separate and bring 1/10 of his finished produce to the Old City of Jerusalem after separating Terumah and the first tithe, but if the family lived too far from Jerusalem, the tithe could be redeemed upon coins (Deuteronomy 14:24–25). Then, the Bible required the owner of the redeemed coins to spend the tithe "to buy whatever you like: cattle, sheep, wine or other fermented drink, or anything you wish" (Deuteronomy 14:26). Implicit in the commandment was an obligation to spend the coins on items meant for human consumption.

text: In years three and six of the Shemittah-cycle the Israelites set aside the (second) tithe instead as the poor tithe, and it was given to the strangers, orphans, and widows.

text: The Levites, also known as the Tribe of Levi, were descendants of Levi. They were assistants to the Aaronic priests (who were the children of Aaron and, therefore, a subset of the Tribe of Levi) and did not own or inherit a territorial patrimony (Numbers 18:21-28). Their function in society was that of temple functionaries, teachers and trusted civil servants who supervised the weights and scales and witnessed agreements. The goods donated from the other Israeli tribes were their source of sustenance. They received from "all Israel" a tithe of food or livestock for support, and in turn would set aside a tenth portion of that tithe (known as the Terumat hamaaser) for the Aaronic priests.

text: An additional tithe mentioned in the Book of Leviticus (27:32–33) is the cattle tithe, which is to be sacrificed as a korban at the Temple in Jerusalem.

text: United Kingdom of Israel[edit]

text: LMLK seals may represent the oldest archaeological evidence of tithing. About 10 percent of the storage jars manufactured during Hezekiah's reign (circa 700 BC) were stamped (Grena, 2004, pp. 376–78). See 2 Chronicles 29–31 for a record of this early worship reformation.

text: The Book of Nehemiah also talks about the collection of tithes to Leviim and distribution of Terumah to the priests: Nehemiah 13:5. People were actually appointed to collect mandatory tithes and place them in specially designated chambers which eventually came to be known as storehouses: Nehemiah 12:44.

text: Minor Prophets[edit]

text: The Book of Malachi has one of the most quoted Biblical passages about tithing, directed to the sons of Jacob:

text: For I, Jehovah, change not; therefore ye, O sons of Jacob, are not consumed. From the days of your fathers ye have turned aside from mine ordinances, and have not kept them. Return unto me, and I will return unto you, saith Jehovah of hosts. But ye say, Wherein shall we return? "Will man rob God? Yet you are robbing me. But you say, ‘How have we robbed you?’ In your tithes and contributions. You are cursed with a curse, for you are robbing me, the whole nation of you. Bring the full tithe into the storehouse, that there may be food in my house. And thereby put me to the test, says the Lord of hosts, if I will not open the windows of heaven for you and pour down for you a blessing until there is no more need. I will rebuke the devourer for you, so that it will not destroy the fruits of your soil, and your vine in the field shall not fail to bear, says the Lord of hosts. Then all nations will call you blessed, for you will be a land of delight, says the Lord of hosts."

text: Deuterocanonical[edit]

text: The deuterocanonical Book of Tobit provides an example of all three classes of tithes practiced during the Babylonian captivity:

text: "I would often go by myself to Jerusalem on religious holidays, as the Law commanded for every Israelite for all time. I would hurry off to Jerusalem and take with me the early produce of my crops, a tenth of my flocks, and the first portion of the wool cut from my sheep. I would present these things at the altar to the priests, the descendants of Aaron. I would give the first tenth of my grain, wine, olive oil, pomegranates, figs, and other fruit to the Levites who served in Jerusalem. For six out of seven years, I also brought the cash equivalent of the second tenth of these crops to Jerusalem where I would spend it every year. I gave this to orphans and widows, and to Gentiles who had joined Israel. In the third year, when I brought and gave it to them, we would eat together according to the instruction recorded in Moses’ Law, as Deborah my grandmother had taught me..."

text: Judaism[edit]

text: Orthodox Jews continue to follow the laws of Terumah and Ma'aser as well as the custom of tithing 10% of one's earnings to charity (ma'aser kesafim). Due to doubts concerning the status of persons claiming to be Kohanim or Levi'im arising after severe Roman/Christian persecutions and exile, the Hebrew Bible tithe of 10% for the Levites, and "tithe of the tithe" (Numbers 18:26) of 10% of 10% (1%) for the priests are dealt with in accordance with Jewish Law.[clarification needed] The Mishnah and Talmud contain analysis of the first tithe, second tithe and poor tithe.[11]

text: Animals are not tithed in the present era when the Temple is not standing.[12]

text: Christianity[edit]

text: Jesus Christ taught that "tithing must be done in conjunction with a deep concern for justice, mercy and faithfulness (Matthew 23:23)".[2] Many of the ancient and historic Christian Churches, such as the Catholic Church and the Methodist Churches, practice tithing, as it was taught by the Council of Tours in A.D. 567, and in the Council of Macon in A.D. 581, a penalty of excommunication was prescribed for those who did not adhere to this ecclesiastical law.[13] Tithes can be given to the Church at once (as is the custom in many Christian countries with a Church tax), or distributed throughout the year; during the part of Western Christian liturgies known as the offertory, people often place a portion of their tithes (sometimes along with additional offerings) in the collection plate.[14]

text: 2 Corinthians 9:7 talks about giving cheerfully, 2 Corinthians 8:12 encourages giving what you can afford, 1 Corinthians 16:1–2 discusses giving weekly (although this is a saved amount for Jerusalem), 1 Timothy 5:17–18 exhorts supporting the financial needs of Christian workers, Acts 11:29 promotes feeding the hungry wherever they may be and James 1:27 states that pure religion is to help widows and orphans.[2]

text: Denominational positions[edit]

text: Adventist Churches[edit]

text: The Seventh-day Adventist Church teaches in its Fundamental Beliefs that "We acknowledge God's ownership by faithful service to Him and our fellow men, and by returning tithes and giving offerings for the proclamation of His gospel and the support of His Church."[2]

text: Anabaptist Churches[edit]

text: The Mennonite Church teaches that "tithing as a minimum baseline is one of the principles on which financial giving in this 'first fruits' system is based":[2]

text: We depend on God's gracious gifts for food and clothing, for our salvation, and for life itself. We do not need to hold on tightly to money and possessions, but can share what God has given us. The practice of mutual aid is a part of sharing God's gifts so that no one in the family of faith will be without the necessities of life. Whether through community of goods or other forms of financial sharing, mutual aid continues the practice of Israel in giving special care to widows, orphans, aliens, and others in economic need (Deut. 24:17-22). Tithes and firstfruit offerings were also a part of this economic sharing (Deut. 26; compare Matt. 23:23).[2]

text: Baptist Churches[edit]

text: The National Baptist Convention of America teaches that "Baptists believe that a proper sense of stewardship begins with the 'tithe'; a presentation of which belongs to Him. 'The tithe is the Lord's.' We have not given as a result of presenting the tithe. Our giving begins with the offering {after we have tithed}."[2]

text: Catholic Church[edit]

text: One of the Commandments of the Church is to “to pay tithes to their pastors.”[15] The Council of Trent, which was held after the Reformation, taught that “tithes are due to God or to religion, and that it is sacrilegious to withold them.”[15]

text: Church of Jesus Christ of Latter-day Saints[edit]

text: The Church of Jesus Christ of Latter-day Saints (LDS Church) bases its tithing on the following additional scriptures:[16]

text: And this shall be the beginning of the tithing of my people. And after that, those who have thus been tithed shall pay one-tenth of all their interest annually; and this shall be a standing law unto them forever, for my holy priesthood, saith the Lord.

text: And it was this same Melchizedek to whom Abraham paid tithes; yea, even our father Abraham paid tithes of one-tenth part of all he possessed.

text: Tithing is currently defined by the church as payment to the church of one-tenth of one's annual income. Many LDS leaders have made statements in support of tithing.[17] Every Latter-day Saint receives an opportunity once a year to meet with their bishop about their tithing settlement. The payment of tithes is mandatory for members to receive the priesthood or obtain admission to temples.

text: None of the funds collected from tithing is paid to church officials. The Church of Jesus Christ of Latter-day Saints is a Lay Ministry.[18] The money that is given is used to build and maintain church buildings as well as to further the work of the church.[19] Brigham Young University, a practically all-LDS school, also receives "a significant portion" of its maintenance and operational costs from LDS tithes.

text: Lutheran Churches[edit]

text: The Lutheran Church–Missouri Synod teaches that "Encourage[s] cheerful, first-fruit, proportionate (including but not limited to tithing) living and giving in all areas of life by Christian stewards".[2]

text: Methodist Churches[edit]

text: The Book of Discipline states that it is the responsibility of ecclesiastics to “educate the local church that tithing is the minimum goal of giving in The United Methodist Church.”[2]

text: The Church of the Nazarene teaches to pay a tithe, although not necessarily the one-tenth under Old Testament law. People pay according to their ability.[20]

text: Moravian Church[edit]

text: The Moravian Church encourages its members to "financially support the ministry of the Church toward the goal of tithing."[2] It "deem[s] it a sacred responsibility and genuine opportunity to be faithful stewards of all God has entrusted to us: our time, our talents, [and] our financial resources".[2]

text: Orthodox Churches[edit]

text: Tithing in medieval Eastern Christianity did not spread so widely as in the West. A Constitution of the Emperors Leo I (reigned 457–474) and Anthemius (reigned 467–472) apparently expected believers to make voluntary payments and forbade compulsion.[21]

text: The Greek Orthodox Archdiocese of America teaches "proportionate giving and tithing as normal practices of Christian giving."[2]

text: Pentecostal Churches[edit]

text: The Pentecostal Church of God teaches that "We recognize the scriptural duty of all our people, as well as ministers, to pay tithes as unto the Lord. Tithes should be used for the support of active ministry and for the propagation of the Gospel and the work of the Lord in general."[2]

text: The International Pentecostal Holiness Church likewise instructs the faithful that:[2]

text: Our commitment to Jesus Christ includes stewardship. According to the Bible everything belongs to God. We are stewards of His resources. Our stewardship of possessions begins with the tithe. All our members are expected to return a tenth of all their income to the Lord.[2]

text: Reformed Churches[edit]

text: The Book of Order of the Presbyterian Church (USA) states, with respect to the obligation to tithe:[22]

text: “Giving has always been a mark of Christian commitment and discipleship. The ways in which a believer uses God’s gifts of material goods, personal abilities, and time should reflect a faithful response to God’s self-giving in Jesus Christ and Christ’s call to minister to and share with others in the world. Tithing is a primary expression of the Christian discipline of stewardship.”[22]

text: The United Church of Christ, a denomination in the Congregationalist tradition, teaches that:[2]

text: When we tithe we place God as our first priority. We trust in God's abundance instead of worrying about not having enough. Tithing churches live out a vision of abundance rather than a mentality of scarcity.[2]

text: Church collection of religious offerings and taxes[edit]

text: England and Wales[edit]

text: The right to receive tithes was granted to the English churches by King Ethelwulf in 855. The Saladin tithe was a royal tax, but assessed using ecclesiastical boundaries, in 1188. The legal validity of the tithe system was affirmed under the Statute of Westminster of 1285. The Dissolution of the Monasteries led to the transfer of many rights to tithe to secular landowners and the Crown – and tithes could be extinguished until 1577 under an Act of the 37th year of Henry VIII's reign.[23] Adam Smith criticized the system in The Wealth of Nations (1776), arguing that a fixed rent would encourage peasants to farm more efficiently.

text: See below for a fuller description and history, until the reforms of the 19th century, written by Sir William Blackstone and edited by other learned lawyers of the period.

text: The system gradually ended with the Tithe Commutation Act 1836, whose long-lasting Tithe Commission replaced them with a commutation payment, land award and/or rentcharges to those paying the commutation payment and took the opportunity to map out (apportion) residual chancel liability where the rectory had been appropriated during the medieval period by a religious house or college. Its records give a snapshot of land ownership in most parishes, the Tithe Files, are a socio-economic history resource. The rolled-up payment of several years' tithe would be divided between the tithe-owners as at the date of their extinction.[24]

text: This commutation reduced problems to the ultimate payers by effectively folding tithes in with rents however, it could cause transitional money supply problems by raising the transaction demand for money. Later the decline of large landowners led tenants to become freeholders and again have to pay directly; this also led to renewed objections of principle by non-Anglicans. It also kept intact a system of chancel repair liability affecting the minority of parishes where the rectory had been lay-appropriated. The precise land affected in such places hinged on the content of documents such as the content of deeds of merger and apportionment maps.[24]

text: Tithe redemption[edit]

text: Rentcharges in lieu of abolished tithe paid by landowners were converted by a public outlay of money under the Tithe Act 1936 into annuities paid to the state through the Tithe Redemption Commission. Such payments were transferred in 1960 to the Board of Inland Revenue, and those remaining were terminated by the Finance Act 1977.

text: The Tithe Act 1951 established the compulsory redemption of English tithes by landowners where the annual amounts payable were less than £1 so abolishing the bureaucracy and costs of collecting small sums of money.[citation needed]

text:
Receipted 1955 redemption notice for property in East Dundry, just south of Bristol

Registered letter cover

Relevant tithe map

text: France[edit]

text: This section does not cite any sources. Please help improve this section by adding citations to reliable sources. Unsourced material may be challenged and removed. (May 2012) (Learn how and when to remove this template message)

tag: table

text: In France, the tithes – called "la dîme" – were a land tax. Originally a voluntary tax, the "dîme" became mandatory in 1585. In principle, unlike the taille, the "dîme" was levied on both noble and non-noble lands. The dîme was divided into a number of types, including the "grosses dîmes" (grains, wine, hay), "menues" or "vertes dîmes" (vegetables, poultry), "dîmes de charnage" (veal, lamb, pork). Although the term "dîme" comes from the Latin decima [pars] ("one tenth", with the same origin as that of the U.S. coin, the dime), the "dîme" rarely reached this percentage and (on the whole) it was closer to 1/13th of the agricultural production.

text: The "dîme" was originally meant to support the local parish, but by the 16th century many "dîmes" went directly to distant abbeys, monasteries, and bishops, leaving the local parish impoverished, and this contributed to general resentment. In the Middle Ages, some monasteries also offered the "dîme" in homage to local lords in exchange for their protection (see Feudalism) (these are called "dîmes inféodées"), but this practice was forbidden by the Lateran Council of 1179.

text: All religious taxes were constitutionally abolished in 1790, in the wake of the French Revolution.

text: Greece[edit]

text: There has never been a separate church tax or mandatory tithe on Greek citizens. The state pays the salaries of the clergy of the established Church of Greece, in return for use of real estate, mainly forestry, owned by the church. The remainder of church income comes from voluntary, tax-deductible donations from the faithful. These are handled by each diocese independently.[citation needed]

text: Ireland[edit]

text: From the English Reformation in the 16th century, most Irish people chose to remain Roman Catholic and had by now to pay tithes valued at about 10% of an area's agricultural produce, to maintain and fund the established state church, the Anglican Church of Ireland, to which only a small minority of the population converted. Irish Presbyterians and other minorities like the Quakers and Jews were in the same situation.

text: The collection of tithes was resisted in the period 1831–36, known as the Tithe War. Thereafter, tithes were reduced and added to rents with the passing of the Tithe Commutation Act in 1836. With the disestablishment of the Church of Ireland by the Irish Church Act 1869, tithes were abolished.

text: United States[edit]

text: While the federal government has never collected a church tax or mandatory tithe on its citizens, states collected a tithe into the early 19th century. The United States and its governmental subdivisions also exempt most churches from payment of income tax (under Section 501(c)(3) of the Internal Revenue Code and similar state statutes, which also allows donors to claim the donations as an income tax itemized deduction). Also, churches may be permitted exemption from other state and local taxes such as sales and property taxes, either in whole or in part. Clergy, such as ministers and members of religious orders (who have taken a vow of poverty) may be exempt from federal self-employment tax on income from ministerial services. Income from non-ministerial services are taxable and churches are required to withhold Federal and state income tax from this non-exempt income. They are also required to withhold employee's share of Social Security and Medicare taxes under FICA, and pay the employer's share for the non-exempt income.[25]

text: Spain and Latin America[edit]

text: Both the tithe (diezmo), a levy of 10% on all agricultural production, and "first fruits" (primicias), an additional harvest levy, were collected in Spain throughout the medieval and early modern periods for the support of local Catholic parishes.

text: The tithe crossed the Atlantic with the Spanish Empire; however, the Indians who made up the vast majority of the population in colonial Spanish America were exempted from paying tithes on native crops such as corn and potatoes that they raised for their own subsistence. After some debate, Indians in colonial Spanish America were forced to pay tithes on their production of European agricultural products, including wheat, silk, cows, pigs, and sheep.

text: The tithe was abolished in several Latin American countries, including Mexico, soon after independence from Spain (which started in 1810). The tithe was abolished in Spain itself in 1841, and in Argentina in 1826.

text: Governmental collection of Christian religious offerings and taxes[edit]

text: Austria[edit]

text: In Austria a colloquially called church tax (Kirchensteuer, officially called Kirchenbeitrag, i.e. church contribution) has to be paid by members of the Catholic and Protestant Church[which?]. It is levied by the churches themselves and not by the government. The obligation to pay church tax can just be evaded by an official declaration to cease church membership. The tax is calculated on the basis of personal income. It amounts to about 1.1% (Catholic church) and 1.5% (Protestant church).[citation needed]

text: Denmark[edit]

text: All members of the Church of Denmark pay a church tax, which varies between municipalities.[26] The tax is generally around 1% of the taxable income.[citation needed]

text: Finland[edit]

text: Members of state churches pay a church tax of between 1% and 2% of income, depending on the municipality. In addition, 2.55% of corporate taxes are distributed to the state churches. Church taxes are integrated into the common national taxation system.[27]

text: Germany[edit]

text: Germany levies a church tax, on all persons declaring themselves to be Christians, of roughly 8–9% of their income tax, which is effectively (very much depending on the social and financial situation) typically between 0.2% and 1.5% of the total income. The proceeds are shared amongst Catholic, Lutheran, and other Protestant Churches.[28]

text: The church tax (Kirchensteuer) actually traces its roots back as far as the Reichsdeputationshauptschluss of 1803. It was reaffirmed in the Concordat of 1933 between Nazi Germany and the Catholic Church. Today its legal basis is article 140 of the Grundgesetz (the German "constitution") in connection with article 137 of the Weimar constitution. These laws originally merely allowed the churches themselves to tax their members, but in Nazi Germany, collection of church taxes was transferred to the German government. As a result, both the German government and the employer are notified of the religious affiliation of every taxpayer. This system is still in effect today. Mandatory disclosure of religious affiliation to government agencies or employers constituted a violation of the original European data protection directives but is now permitted after the German government obtained an exemption.[28]

text: Church tax (Kirchensteuer) is compulsory in Germany for those confessing members of a particular religious group. It is deducted at the PAYE level. The duty to pay this tax theoretically starts on the day one is christened. Anyone who wants to stop paying it has to declare in writing, at their local court of law (Amtsgericht) or registry office, that they are leaving the Church. They are then crossed off the Church registers and can no longer receive the sacraments, confession and certain services; Roman Catholic church may deny such as person a burial plot.[28] In addition to the government, the taxpayer also must notify his employer of his religious affiliation (or lack thereof) in order to ensure proper tax withholding.[29]

text: This opt-out is also used by members of "free churches" (e.g. Baptists) (non-affiliated to the scheme) to stop paying the church tax, from which the free churches do not benefit, in order to support their own church directly.

text: Italy[edit]

text: Originally the Italian government of Benito Mussolini, under the Lateran treaties of 1929 with the Holy See, paid a monthly salary to Catholic clergymen. This salary was called the congrua. The eight per thousand law was created as a result of an agreement, in 1984, between the Italian Republic and the Holy See.

text: Under this law Italian taxpayers are able to vote how to partition the 0.8% ('eight per thousand') of the total income tax IRPEF levied by Italy among some specific religious confessions or, alternatively, to a social assistance program run by the Italian State. This declaration is made on the IRPEF form. This vote is not compulsory; the whole amount levied by the IRPEF tax is distributed in proportion to explicit declarations.

text: The last official statement of Italian Ministry of Finance made in respect of the year 2000 singles out seven beneficiaries: the Italian State, the Catholic Church, the Waldenses, the Jewish Communities, the Lutherans, the Seventh-day Adventist Church and the Assemblies of God in Italy.

text: The tax was divided up as follows:

text:
87.17% Catholic Church
10.35% Italian State
1.21% Waldenses
0.46% Jewish Communities
0.32% Lutherans
0.28% Adventists of the Seventh Day
0.21% Assemblies of God in Italy

text: In 2000, the Catholic Church raised almost a billion euros, while the Italian State received about €100 million euros.

text: Scotland[edit]

text: In Scotland teinds were the tenths of certain produce of the land appropriated to the maintenance of the Church and clergy. At the Reformation most of the Church property was acquired by the Crown, nobles and landowners. In 1567 the Privy Council of Scotland provided that a third of the revenues of lands should be applied to paying the clergy of the reformed Church of Scotland. In 1925 the system was recast by statute[30] and provision was made for the standardisation of stipends at a fixed value in money. The Court of Session acted as the Teind Court. Teinds were finally abolished by section 56 of the Abolition of Feudal Tenure etc. (Scotland) Act 2000.

text: Sweden[edit]

text: Until the year 2000, Sweden had a mandatory church tax, to be paid if one did belong to the Church of Sweden, which had been funneling about $500 million annually to the church. Because of change in legislation, the tax was withdrawn in the year 2000. However, the Swedish government has agreed to continue collecting from individual taxpayers the annual payment that has always gone to the church. But now the tax will be an optional checkoff box on the tax return. The government will allocate the money collected to Catholic, Muslim, Jewish and other faiths as well as the Lutherans, with each taxpayer directing where his or her taxes should go.[citation needed]

text: Switzerland[edit]

text: There is no official state church in Switzerland; however, all the 26 cantons (states) financially support at least one of the three traditional denominations—Roman Catholic, Old Catholic, or Protestant—with funds collected through taxation. Each canton has its own regulations regarding the relationship between church and state. In some cantons, the church tax (up to 2.3%) is voluntary but in others an individual who chooses not to contribute to church tax may formally have to leave the church. In some cantons private companies are unable to avoid payment of the church tax.[citation needed]

text: Tithes and tithe law in England before reform[edit]

text: Excerpts from Sir William Blackstone, Commentaries on the Laws of England:

text: Definition and classification and those liable to pay tithes[edit]

text: . . . tithes; which are defined to be the tenth part of the increase, yearly arising and renewing from the profits of lands, the stock upon lands, and the personal industry of the inhabitants:

text: History[edit]

text: We cannot precisely ascertain the time when tithes were first introduced into this country. Possibly they were contemporary with the planting of Christianity among the Saxons, by Augustin the monk, about the end of the fifth century. But the first mention of them, which I have met with in any written English law, is in a constitutional decree, made in a synod held A.D. 786, wherein the payment of tithes in general is strongly enjoined. This canon, or decree, which at first bound not the laity, was effectually confirmed by two kingdoms of the heptarchy, in their parliamentary conventions of estates, respectively consisting of the kings of Mercia and Northumberland, the bishops, dukes, senators, and people. Which was a few years later than the time that Charlemagne established the payment of them in France, and made that famous division of them into four parts ; one to maintain the edifice of the church, the second to support the poor, the third the bishop, and the fourth the parochial clergy.[32]:25

text: Beneficiaries[edit]

text: And upon their first introduction (as hath formerly been observed), though every man was obliged to pay tithes in general, yet he might give them to what priests he pleased; which were called arbitrary consecrations of tithes: or he might pay them into the hands of the bishop, who distributed among his diocesan clergy the revenues of the church, which were then in common. But, when dioceses were divided into parishes, the tithes of each parish were allotted to its own particular minister; first by common consent, or the appointment of lords of manors, and afterwards by the written law of the land.[32]:26 ... it is now universally held, that tithes are due, of common right, to the parson of the parish, unless there be a special exemption. This parson of the parish, we have formerly seen, may be either the actual incumbent, or else the appropriator of the benefice: appropriations being a method of endowing monasteries, which seems to have been devised by the regular clergy, by way of substitution to arbitrary consecrations of tithes.[32]:28

text: Exemptions[edit]

text: We observed that tithes are due to the parson of common right, unless by special exemption: let us therefore see, thirdly, who may be exempted from the payment of tithes ... either in part or totally, first, by a real composition; or secondly, by custom or prescription.

text: First, a real composition is when an agreement is made between the owner of the lands, and the parson or vicar, with the consent of the ordinary and the patron, that such lands shall for the future be discharged from payment of tithes, by reason of some land or other real recompence given to the parson, in lieu and satisfaction thereof. ...

text: Secondly, a discharge by custom or prescription, is where time out of mind such persons or such lands have been, either partially or totally, discharged from the payment of tithes. And this immemorial usage is binding upon all parties, as it is in its nature an evidence of universal consent and acquiescence; and with reason supposes a real composition to have been formerly made. This custom or prescription is either de modo decimandi, or de non decimando.

text: A modus decimandi, commonly called by the simple name of a modus only, is where there is by custom a particular manner of tithing allowed, different from the general law of taking tithes in kind, which are the actual tenth part of the annual increase. This is sometimes a pecuniary compensation, as twopence an acre for the tithe of land : sometimes it is a compensation in work and labour, as that the parson shall have only the twelfth cock of hay, and not the tenth, in consideration of the owner's making it for him: sometimes, in lieu of a large quantity of crude or imperfect tithe, the parson shall have a less quantity, when arrived to greater maturity, as a couple of fowls in lieu of tithe eggs ; and the like. Any means, in short, whereby the general law of tithing is altered, and a new method of taking them is introduced, is called a modus decimandi, or special manner of tithing.[32]:28–29 ...

text: A prescription de non decimando is a claim to be entirely discharged of tithes, and to pay no compensation in lieu of them. Thus the king by his prerogative is discharged from all tithes. So a vicar shall pay no tithes to the rector, nor the rector to the vicar, for ecclesia decimas non folvit ecclesiae. But these personal to both the king and the clergy ; for their tenant or lessee shall pay tithes of the same land, though in their own occupation it is not tithable. And, generally speaking, it is an established rule, that in lay hands, modus de non decimando non valet. But spiritual persons or corporations, as monasteries, abbots, bishops, and the like, were always capable of having their lands totally discharged of tithes, by various ways: as

text:
By real composition :
By the pope's bull of exemption :
By unity of possession ; as when the rectory of a parish, and lands in the same parish, both belonged to a religious house, those lands were discharged of tithes by this unity of possession :
By prescription ; having never been liable to tithes, by being always in spiritual hands :
By virtue of their order; as the knights templars, cistercians, and others, whose lands were privileged by the pope with a discharge of tithes. Though, upon the dissolution of abbeys by Henry VIII, most of these exemptions from tithes would have fallen with them, and the lands become tithable again; had they not been supported and upheld by the statute 31 Hen. VIII. c. 13. which enacts, that all persons who should come to the possession of the lands of any abbey then dissolved, should hold them free and discharged of tithes, in as large and ample a manner as the abbeys themselves formerly held them. And from this original have sprung all the lands, which, being in lay hands, do at present claim to be tithe-free: for, if a man can shew his lands to have been such abbey lands, and also immemorially discharged of tithes by any of the means before-mentioned, this is now a good prescription de non decimando. But he must shew both these requisites ; for abbey lands, without a special ground of discharge, are not discharged of course ; neither will any prescription de non decimando avail in total discharge of tithes, unless it relates to such abbeylands.[32]:31–32

tag: ol

text:
The Tithe Barn, Abbotsbury, Dorset (scene of the sheep-shearing in Thomas Hardy's Far from the Madding Crowd)

Tithe Barn at Bradford on Avon, West Wiltshire

Interior of the medieval tithe barn at Pilton, Somerset

Coggeshall near Braintree Essex, the timber has been dated to between 1130 and 1270

text: Islam[edit]

text: Zakāt (Arabic: زكاة [zækæːh]) or "alms giving", one of the Five Pillars of Islam, is the giving of a small percentage of one's assets to charity. It serves principally as the welfare contribution to poor and deprived Muslims, although others may have a rightful share. It is the duty of an Islamic state not just to collect zakat but to distribute it fairly as well.

text: Zakat is payable on three kinds of assets: wealth, production, and animals. The more well-known zakat on wealth is 2.5% of accumulated wealth, beyond one's personal needs. Production (agricultural, industrial, renting, etc.), is subject to a 10% or 5% zakat (also known as Ushur (عُشر), or "one-tenth"), using the rule that if both labor and capital are involved, 5% rate is applied, if only one of the two are used for production, then the rate is 10%. For any earnings, that require neither labor nor capital, like finding underground treasure, the rate is 20%. The rules for zakat on animal holdings are specified by the type of animal group and tend to be fairly detailed.[33]

text: Muslims fulfill this religious obligation by giving a fixed percentage of their surplus wealth. Zakat has been paired with such a high sense of righteousness that it is often placed on the same level of importance as performing the five-daily repetitive ritualised prayer (salat).[34] Muslims see this process also as a way of purifying themselves from their greed and selfishness and also safeguarding future business.[34] In addition, Zakat purifies the person who receives it because it saves him from the humiliation of begging and prevents him from envying the rich.[35] Because it holds such a high level of importance the "punishment" for not paying when able is very severe. In the 2nd edition of the Encyclopaedia of Islam it states, "...the prayers of those who do not pay zakat will not be accepted".[34] This is because without Zakat a tremendous hardship is placed on the poor which otherwise would not be there. Besides the fear of their prayers not getting heard, those who are able should be practicing this third pillar of Islam because the Quran states that this is what believers should do.[36]

text: Non-Muslims (able-bodied adult males of military age) living in an Islamic state are required to pay Jizya, this exempts them from military service and they do not pay Zakat.

text: Sikhism[edit]

text: Daswandh (Punjabi: ਦਸਵੰਧ), sometimes spelled Dasvandh, is the one tenth part (or 10%) of one's income that should be donated in the name of the God, according to Sikh principles.[37][38]