This article is cited in 6 papers

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mechanics

On some classes of solutions of aerohydromechanic equations

Yu. A. Kazakova

Dept. of Higher Mathematics, Ulyanovsk State Technical University, Ulyanovsk

Abstract: The article gives a review of the method of constructing parametric solutions of polynomial form for systems of partial differential equations and its application to some aerohydromechanic equations. For example the parametric solutions are constructed and their classification is carried out for the system of equations, describing the plane flows of the ideal gas with the constant entropy. Particularly, the solutions of “simple wave” type are demonstrated. Also the solutions of transonic equations, describing flows of gas with local supersonic zones in Laval nozzles are obtained.

Keywords: partial differential equations, aerohydromechanics, transonic flows, supersonic zones, Laval nozzles.

UDC: 517.9:533.6

MSC: 35Q35

Original article submitted 20/XII/2010
revision submitted – 02/III/2011

DOI: 10.14498/vsgtu870

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