This article is cited in 1 paper

Differentially invariant solutions of equations of plane steady flows of a viscous heat-conducting perfect gas with a polytropic equation of state

V. V. Bublik

Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: A system of Navier–Stokes equations for two-dimensional steady flows of a viscous heatconducting perfect gas with a polytropic equation of state is considered. Differentially invariant solutions of this system are studied. Bases of differential invariants and operators of invariant differentiation are constructed for all subgroups of the admitted group. Examples of new differentially invariant solutions are obtained.

Keywords: dynamics of a viscous heat-conducting gas, differentially invariant solutions.

UDC: 517.957:[532.516.5+536.23]

Received: 04.07.2011

 English version: Journal of Applied Mechanics and Technical Physics, 2012, 53:2, 156–161

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