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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 2, Pages 14–20
(Mi pmtf1340)
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This article is cited in 1 scientific paper (total 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.
Received: 04.07.2011
Citation:
V. V. Bublik, “Differentially invariant solutions of equations of plane steady flows of a viscous heat-conducting perfect gas with a polytropic equation of state”, Prikl. Mekh. Tekh. Fiz., 53:2 (2012), 14–20; J. Appl. Mech. Tech. Phys., 53:2 (2012), 156–161
Linking options:
https://www.mathnet.ru/eng/pmtf1340 https://www.mathnet.ru/eng/pmtf/v53/i2/p14
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Abstract page: | 25 | Full-text PDF : | 10 |
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