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Mathematical Methods in Aerodynamics - Lazar Dragos

Mathematical Methods in Aerodynamics

Hardcover Published: 29th February 2004
ISBN: 9781402016639
Number Of Pages: 573

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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.

The Equations of Ideal Fluidsp. 1
The Equations of Linear Aerodynamics and its Fundamental Solutionsp. 21
The Infinite Span Airfoil in Subsonic Flowp. 69
The Application of the Boundary Element Method to the Theory of the Infinite Span Airfoil in Subsonic Flowp. 109
The Theory of Finite Span Airfoil in Subsonic Flow. The Lifting Surface Theoryp. 155
The Lifting Line Theoryp. 197
The Application of the Boundary Integral Equations Method to the Theory of the Three-Dimensional Airfoil in Subsonic Flowp. 251
The Supersonic Steady Flowp. 283
The Steady Transonic Flowp. 359
The Unsteady Flowp. 397
The Theory of Slender Bodiesp. 449
Fourier Transform and Notions of the Theory of Distributionsp. 465
Cauchy-type Integrals. Dirichlet's Problem for the Half-Plane. The Calculus of Some Integralsp. 481
Singular Integral Equationsp. 493
The Finite Partp. 509
Singular Multiple Integralsp. 517
Gauss-Type Quadrature Formulasp. 521
Bibliographyp. 533
Indexp. 571
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781402016639
ISBN-10: 1402016638
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 573
Published: 29th February 2004
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 25.4 x 17.8  x 3.18
Weight (kg): 1.13