|
This article is cited in 5 scientific papers (total in 5 papers)
Short Communications
Stochastic Micromodel of the Couette Flow
V. A. Malyshev, A. D. Manita M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We study the Markov exclusion process for a particle system with a local interaction in the integer strip. This process models the exchange of velocities and particle-hole exchange of the liquid molecules. It is shown that the mean velocity profile corresponds to the behavior which is characteristic for incompressible viscous liquid. We prove the existence of phase transition between laminar and turbulent profiles.
Keywords:
Couette flow, Markov processes with a local interaction, scaling, hydrodynamics.
Received: 27.11.2007 Revised: 30.03.2008
Citation:
V. A. Malyshev, A. D. Manita, “Stochastic Micromodel of the Couette Flow”, Teor. Veroyatnost. i Primenen., 53:4 (2008), 798–809; Theory Probab. Appl., 53:4 (2009), 716–727
Linking options:
https://www.mathnet.ru/eng/tvp2467https://doi.org/10.4213/tvp2467 https://www.mathnet.ru/eng/tvp/v53/i4/p798
|
Statistics & downloads: |
Abstract page: | 500 | Full-text PDF : | 203 | References: | 82 |
|