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Non‐Equilibrium Flow of an Inviscid Gas past a Thin Profile
Author(s) -
Homentcovschi D.
Publication year - 1977
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19770570806
Subject(s) - inviscid flow , supersonic speed , aerodynamics , fredholm integral equation , choked flow , flow (mathematics) , mechanics , mathematics , mathematical analysis , function (biology) , motion (physics) , physics , classical mechanics , integral equation , evolutionary biology , biology
This paper considers the steady and linearized motion of a non‐equilibrium inviscid gas past a thin profile. The form in distributions of the equations of the aerodynamics is used. For the symmetrical profile the problem is completely solved. For the case of the profile without thickness the problem calls for a separate consideration of the completely subsonic, intermediate and completely supersonic regimes respectively. In the first two cases the determination of the function n(x) reduces to the resolution of a Fredholm type regular integral equation of the second species. The paper gives the asymptotic solution of the problem for high values of τ 0. For the case of the completely supersonic regime the problem is solved to the end. The motion of a fluid over a wall is also analysed.