Numerical study of Couette flow based on a nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases

被引：0

作者：

Larina, I. N. ^{[1
]}

Rykov, V. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

rarefied gas; kinetic equation; Couette flow; numerical study; time marching to a steady state;

D O I：

10.1134/S0965542514040101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The two-dimensional Couette flow with heat transfer was studied numerically using a non-linear nonequilibrium kinetic model of the Boltzmann equation. The effects of a maximum normal stress and a minimum streamwise energy flux were found depending on the Knudsen number.

引用

页码：696 / 705

页数：10

共 20 条

[1] Numerical study of Couette flow based on a nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases
I. N. Larina
V. A. Rykov
Computational Mathematics and Mathematical Physics, 2014, 54 : 696 - 705
[2] Nonlinear nonequilibrium kinetic model of the boltzmann equation for monatomic gases
I. N. Larina
V. A. Rykov
Computational Mathematics and Mathematical Physics, 2011, 51 : 1962 - 1972
[3] Nonlinear nonequilibrium kinetic model of the boltzmann equation for monatomic gases
Larina, I. N.
Rykov, V. A.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (11) : 1962 - 1972
[4] Poiseuille, thermal creep and Couette flow: results based on the CES model of the linearized Boltzmann equation
Siewert, CE
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2002, 21 (05) : 579 - 597
[5] Couette flow of a binary mixture of rigid-sphere gases described by the linearized Boltzmann equation
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EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2008, 27 (06) : 823 - 836
[6] Numerical analysis of oscillatory Couette flow of a rarefied gas on the basis of the linearized Boltzmann equation
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VACUUM, 2009, 84 (05) : 734 - 737
[7] Numerical analysis of oscillatory Couette flow of a rarefied gas on the basis of the linearized Boltzmann equation for a hard sphere molecular gas
Doi, Toshiyuki
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2010, 61 (05): : 811 - 822
[8] Numerical analysis of oscillatory Couette flow of a rarefied gas on the basis of the linearized Boltzmann equation for a hard sphere molecular gas
Toshiyuki Doi
Zeitschrift für angewandte Mathematik und Physik, 2010, 61 : 811 - 822
[9] Kinetic model of the Boltzmann equation with limiting gas flow regimes at low Knudsen numbers
I. N. Larina
V. A. Rykov
Computational Mathematics and Mathematical Physics, 2008, 48 : 1221 - 1233
[10] Kinetic Model of the Boltzmann Equation with Limiting Gas Flow Regimes at Low Knudsen Numbers
Larina, I. N.
Rykov, V. A.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (07) : 1221 - 1233

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