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Mathematical Methods in Aerodynamics (Paperback, Softcover reprint of the original 1st ed. 2004)
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Mathematical Methods in Aerodynamics (Paperback, Softcover reprint of the original 1st ed. 2004)
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The researchers in Aerodynamics know that there is not a unitary
method of investigation in this field. The first mathematical model
of the air plane wing, the model meaning the integral equation
governing the phe nomenon, was proposed by L. Prandtl in 1918. The
integral equation deduced by Prandtl, on the basis of some
assumptions which will be specified in the sequeL furnishes the
circulation C(y) (see Chapter 6). U sing the circulation, one
calculates the lift and moment coefficients, which are very
important in Aerodynamics. The first hypothesis made by Prandtl
consists in replacing the wing by a distribution of vortices on the
plan-form D of the wing (i. e. the projection of the wing on the
plane determined by the direction of the uniform stream at infinity
and t he direction of the span of the wing). Since such a
distribution leads to a potential flow in the exterior of D and the
experiences show that downstream the flow has not this character,
Prandtl introduces as a sup plementary hypothesis another vortices
distribution on the trace of the domain D in the uniform stream.
The first kind of vortices are called tied vortices and the second
kind of vortices are called free vortices."
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