Airfoil in a sonic shear flow jet: a mixed boundary value problem for the generalized Tricomi equation

Author:

Chang C. C.,Lundgren T. S.

Abstract

In this paper, small perturbations of a non-uniform two-dimensional flow of a compressible inviscid fluid are considered. It is shown that for a particular class of main stream Mach number distributions, which are characterized by a sonic line along the x x -axis, the linearized shear flow equation may be transformed into the generalized Tricomi equation. The mixed boundary value problem which results from considering perturbations generated by a two-dimensional camber surface is formulated and solved by utilizing the Wiener-Hopf technique.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Reference11 articles.

1. Reflection at a laminar boundary layer of a weak steady disturbance to a supersonic stream, neglecting viscosity and heat conduction;Lighthill, M. J.;Quart. J. Mech. Appl. Math.,1950

2. A solution of the telegraph equation with application to two dimensional supersonic shear flow;Chang, Chieh-Chien;J. Math. Physics,1952

3. F. Tricomi, On linear partial differential equations of second order of mixed type, translation A9–T–26 Graduate Division of Applied Mathematics, Brown University, 1948

4. R. Paley and N. Wiener, The Fourier-transform in the complex domain, Am. Math. Soc., Colloquium Publ., 1934

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the direct solution of certain half-plane mixed boundary-value problems;Mathematical Proceedings of the Cambridge Philosophical Society;1966-10

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