V. V. Grigoryeva, Yu. V. Sheretov, “Simplified quasi-hydrodynamic model for slow flows of compressible viscous heat conducting gas”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, Issue 3,Pages <nobr>5

Mathematical Modelling, Numerical Methods and Software Systems

Simplified quasi-hydrodynamic model for slow flows of compressible viscous heat conducting gas

V. V. Grigoryeva^a, Yu. V. Sheretov^b

^a Tver State Technical University
^b Tver State University

Abstract: Simplified quasi-hydrodynamic system for slow flows of compressible viscous heat conducting gas is proposed. For it the entropy balance equation is derived and theorem on the increasing of full entropy is proved. Laplace barometric formula is obtained as a consequence of pointed system.

Keywords: quasi-hydrodynamic equations, slow gas flows, entropy balance equation, barometric formula.

UDC: 533.6, 517.95

Received: 04.08.2016
Revised: 15.09.2016

DOI: 10.26456/vtpmk17