Numerical analysis of oscillatory Couette flow of a rarefied gas on the basis of the linearized Boltzmann equation

被引:16
作者
Doi, Toshiyuki [1 ]
机构
[1] Tottori Univ, Dept Appl Math & Phys, Tottori 6808552, Japan
关键词
Rarefied gas; Boltzmann equation; Forced oscillation;
D O I
10.1016/j.vacuum.2009.10.007
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The unsteady motion of a rarefied gas between two parallel plates, one of which is oscillating in its plane, is studied based on the linearized Boltzmann equation for a hard sphere molecular gas. The detailed numerical solution for a wide range of gas rarefaction and oscillatory frequency is presented. The transition of the solution from low to high frequencies under various degrees of gas rarefaction is discussed. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:734 / 737
页数:4
相关论文
共 50 条
[41]   An exact solution of the inelastic Boltzmann equation for the Couette flow with uniform heat flux [J].
A. Santos ;
V. Garzó ;
F. Vega Reyes .
The European Physical Journal Special Topics, 2009, 179 :141-156
[42]   Modeling of Cylindrical Couette Flow of Rarefied Gas. The Case of Rotating Outer Cylinder [J].
Gospodinov, P. ;
Dankov, D. ;
Roussinov, V. ;
Stefanov, S. .
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES, 2009, 1186 :200-205
[43]   Numerical modelling of rarefied gas flow through a slit at arbitrary pressure ratio based on the kinetic equation [J].
Graur, Irina A. ;
Polikarpov, Alexey Ph. ;
Sharipov, Felix .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2012, 63 (03) :503-520
[44]   Numerical modelling of rarefied gas flow through a slit at arbitrary pressure ratio based on the kinetic equation [J].
Irina A. Graur ;
Alexey Ph. Polikarpov ;
Felix Sharipov .
Zeitschrift für angewandte Mathematik und Physik, 2012, 63 :503-520
[45]   Investigation of the Rarefied Gas Flow around a Circular Cylinder in Stationary and Oscillatory Regimes [J].
Larina, I. N. ;
Rykov, V. A. .
FLUID DYNAMICS, 2006, 41 (01) :152-160
[46]   Investigation of the rarefied gas flow around a circular cylinder in stationary and oscillatory regimes [J].
I. N. Larina ;
V. A. Rykov .
Fluid Dynamics, 2006, 41 :152-160
[47]   Asymptotic analysis of the Boltzmann-BGK equation for oscillatory flows [J].
Nassios, Jason ;
Sader, John E. .
JOURNAL OF FLUID MECHANICS, 2012, 708 :197-249
[48]   Nonisothermal oscillatory cylindrical Couette gas flow in the slip regime: A computational study [J].
Gospodinov, Peter ;
Roussinov, Vladimir ;
Stefanov, Stefan .
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2012, 33 :14-24
[49]   Slow Nonisothermal Flows: Numerical and Asymptotic Analysis of the Boltzmann Equation [J].
Rogozin, O. A. .
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2017, 57 (07) :1201-1224
[50]   Numerical study of unsteady rarefied gas flow through an orifice [J].
Ho, M. T. ;
Graur, I. .
VACUUM, 2014, 109 :253-265