ISSN 2542–0380
Труды Института механики им. Р.Р. Мавлютова
Электронный научный журнал | Electronic Scientific Journal
Proceedings of the Mavlyutov Institute of Mechanics


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Siraeva D.T. The motion of the particles volume corresponding to invariant solution of rank 2 submodel of hydrodynamic type Proceedings of the Mavlyutov Institute of Mechanics. 2016. 11(2). 205–209.
2016. Vol. 11. Issue 2, Pp. 205–209
URL: http://proc.uimech.org/uim2016.2.030
DOI: 10.21662/uim2016.2.030
The motion of the particles volume corresponding to invariant solution of rank 2 submodel of hydrodynamic type
Siraeva D.T.
Ufa State Aviation Technical University, Ufa

Abstract

Invariant submodel of rank 2 on the subalgebra consisting of the sum of transfers for hydrodynamic equations with the equation of state in the form of pressure as the sum of density and entropy functions, is presented. In terms of the Lagrangian coordinates from condition of nonhyperbolic submodel solutions depending on the four essential constants are obtained. For simplicity, we consider the solution depending on two constants. The trajectory of particles motion, the motion of parallelepiped of the same particles are studied using the Maple.

Keywords

hydrodynamic type model,
invariant submodel of rank 2,
exact solution,
trajectory