On Gas Flow Beyond Strong Shock Wave Front, Form of Which Approaches a Certain Curve

Abstract: The plane auto model problem of the in viscid gas motion beyond intensive shock wave is studied. It is supposed, that shock wave front approaches some curve, the form of which is known. Solution is constructed in the form of series on the small parameter degrees. This parameter characteriz...

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Bibliographic Details
Main Authors: V. I. Bogatko, G. A. Kolton, E. A. Potekhina
Format: Article
Language:English
Published: Samara State Technical University 2009-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu607
Description
Summary:Abstract: The plane auto model problem of the in viscid gas motion beyond intensive shock wave is studied. It is supposed, that shock wave front approaches some curve, the form of which is known. Solution is constructed in the form of series on the small parameter degrees. This parameter characterizes the relation of gas densities at shock wave front. Certain cases are studied as examples: when intensive shock wave front form is closely approximated to the straight line or to the circle. Solution of the problem is reduced to the Euler–Darboux equation integration.
ISSN:1991-8615
2310-7081