Abstract:
The efficiency of the method of self-similar interpolation in its simplest demonstrated on the solution of the problem of plane Couette with different temperature plates in the rarefied gas. The analytic solution of the problem is compared with the results, obtained by the direct statistical simulation. The most interesting result is non-monotonous heat flux and changes its sign when you change the sparsity of gas — Knudsen number KnKn.
Keywords:
Couette flow, self-similar interpolation, direct simulation Monte-Carlo.
Citation:
S. L. Gorelov, Vuong Van Tien, “Couette flow and heat transfer between parallel plates in a rarefied gas”, Mat. Model., 26:10 (2014), 33–46; Math. Models Comput. Simul., 7:3 (2015), 294–302
\Bibitem{GorTie14}
\by S.~L.~Gorelov, Vuong~Van~Tien
\paper Couette flow and heat transfer between parallel plates in a rarefied gas
\jour Mat. Model.
\yr 2014
\vol 26
\issue 10
\pages 33--46
\mathnet{http://mi.mathnet.ru/mm3524}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 3
\pages 294--302
\crossref{https://doi.org/10.1134/S2070048215030060}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84930648776}
Linking options:
https://www.mathnet.ru/eng/mm3524
https://www.mathnet.ru/eng/mm/v26/i10/p33
This publication is cited in the following 1 articles:
Baliti J., Hssikou M., Alaoui M., “Monte Carlo Simulation of Nonlinear Gravity Driven Poiseuille-Couette Flow in a Dilute Gas”, Monte Carlo Methods Appl., 24:3 (2018), 153–163