Collected Works of H. S. Tsien (1938-1956)

On Two-Dimensional Non-steady Motion of a Slender Body in a Compressible Fluid

C.C. Lin, E. Reissner and H.S. Tsien

Many problems of aerodynamics involve flow around a slender body. It is known that in such cases a perturbation approach often leads to linear differential equations. Recently, von Karman^[1] pointed out that for steady motions in the transonic range, certain non-linear terms have to be retained even in a perturbation theory. This fact was also discussed by C. Kaplan^[2] together with a comparison with results of his earlier iteration calculation. Tsien^[3] has carried the same point of view to hypersonic flow. Quite recently, I. E. Garrick^[4], during his discussion of flutter in the transonic range, wrote down an equation for the ...