Study on Weak Nonlinear Waves in Two-Dimensional Supersonic Flow by the Reductive Perturbation Method

概要

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The second order approximation in the reductive perturbation method has beeninvestigated for weak nonlinear waves in two-dimensional sttpersonic flow withviscosity and heat-conductivity. As a result it is found that the second order equa-tion is reduced to the linearized Burgers equation with inhomogeneous terms.The renormalization of secular term included in inhomogeneous terms is carriedout for the case of a weak oblique shock by making use of the method of Kodama& Taniuti. It is shown that the corrected inclination of the shock front to theuniform flow coincides with the expression obtained from the Rankine-Hugoniotrelation under the weak shock approximation. The solutiotx up to the secondorder is obtained analytically and it has the form, for special case, like Becker'ssolution under the same approximation.
社団法人日本物理学会の論文
1982-05-15