|
Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 4, Pages 86–97
(Mi sjim700)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
A thermodynamically consistent system of conservation laws for the flow of a compressible fluid in an elastic porous medium
E. I. Romenskiĭ Sobolev Institute of Mathematics SB RAS, Novosibirsk, RUSSIA
Abstract:
Basing on the method of thermodynamically consistent systems of conservation laws we develop a model of the isoentropic flow of a compressible fluid in an elastically deformable porous medium in the case of finite deformations, whose defining equations are hyperbolic and has divergence form. We also derive equations for the propagation of small amplitude waves in a motionless medium and analyze the dependence of the speed of sound on porosity.
Keywords:
conservation laws, hyperbolic system, elastic porous medium.
Received: 27.01.2011
Citation:
E. I. Romenskiǐ, “A thermodynamically consistent system of conservation laws for the flow of a compressible fluid in an elastic porous medium”, Sib. Zh. Ind. Mat., 14:4 (2011), 86–97
Linking options:
https://www.mathnet.ru/eng/sjim700 https://www.mathnet.ru/eng/sjim/v14/i4/p86
|
Statistics & downloads: |
Abstract page: | 383 | Full-text PDF : | 180 | References: | 61 | First page: | 4 |
|