Rarefaction effects in thermally-driven microflows
作者： Peyman Taheri , Henning Struchtrup
DOI: 10.1016/J.PHYSA.2010.03.050
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摘要: Abstract Rarefied gas flow in a parallel-plate micro-channel is considered, where streamwise constant temperature gradient applied the channel walls. An analytical approach to problem conducted based on linearized and semi-linearized forms of regularized 13-moment equations (R13 equations), which are set macroscopic transport for rarefied gases at super-Burnett order. Typical nonequilibrium effects boundary, i.e., velocity slip, jump, formation Knudsen boundary layers investigated. Nonlinear contributions lead temperature, density, normal stress profiles across not reported elsewhere literature.
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Shi Jin, Marshall Slemrod, Regularization of the Burnett Equations via Relaxation Journal of Statistical Physics. ,vol. 103, pp. 1009- 1033 ,(2001) , 10.1023/A:1010365123288
Harold Grad, Principles of the Kinetic Theory of Gases HDP. ,vol. 3, pp. 205- 294 ,(1958) , 10.1007/978-3-642-45892-7_3
Martin Knudsen, Eine Revision der Gleichgewichtsbedingung der Gase. Thermische Molekularströmung Annalen der Physik. ,vol. 336, pp. 205- 229 ,(1909) , 10.1002/ANDP.19093360110
Xiao-Jun Gu, David R Emerson, A computational strategy for the regularized 13 moment equations with enhanced wall-boundary conditions Journal of Computational Physics. ,vol. 225, pp. 263- 283 ,(2007) , 10.1016/J.JCP.2006.11.032
S. K. Loyalka, N. Petrellis, T. S. Storvick, Some exact numerical results for the BGK model: Couette, Poiseuille and thermal creep flow between parallel plates Zeitschrift für Angewandte Mathematik und Physik. ,vol. 30, pp. 514- 521 ,(1979) , 10.1007/BF01588895
L. H. Söderholm, Hybrid Burnett Equations: A New Method of Stabilizing Transport Theory and Statistical Physics. ,vol. 36, pp. 495- 512 ,(2007) , 10.1080/00411450701468365
Taku Ohwada, Yoshio Sone, Kazuo Aoki, Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard‐sphere molecules Physics of Fluids. ,vol. 1, pp. 2042- 2049 ,(1989) , 10.1063/1.857478
I. M�ller, D. Reitebuch, W. Weiss, Extended thermodynamics - consistent in order of magnitude Continuum Mechanics and Thermodynamics. ,vol. 15, pp. 113- 146 ,(2003) , 10.1007/S00161-002-0106-0
Henning Struchtrup, Stable transport equations for rarefied gases at high orders in the Knudsen number Physics of Fluids. ,vol. 16, pp. 3921- 3934 ,(2004) , 10.1063/1.1782751
S. K. Loyalka, Comments on “Poiseuille flow and thermal creep of a rarefied gas between parallel plates” Physics of Fluids. ,vol. 17, pp. 1053- 1055 ,(1974) , 10.1063/1.1694820