A numerical study for slip flow heat transfer

被引:18
作者
Hung, WC [1 ]
Ru, Y [1 ]
机构
[1] Natl Sun Yat Sen Univ, Dept Mech & Electromech Engn, Kaohsiung 804, Taiwan
关键词
Boltzmann equation; distribution function; equilibrium distribution function; Knudsen number; lattice Boltzmann method; micro-channel flow;
D O I
10.1016/j.amc.2005.04.068
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The heat transfer characteristics of fluid flow in micro-channel are studied by the lattices-Boltzmann method. A nine-velocity model and an internal energy distribution model are used to obtain the mass, momentum and temperature distributions in micro-channel flow. We increased the Knudsen number, the flow became slip flow, and discussed the effects of Knudsen number on the flow behavior and heat transfer. We obtained solution of the slip velocity on wall and compared to other theoretical results. Present work used the internal energy thermal model to predict the temperature distribution in micro-channel flow. The temperature jump on wall increase with increasing Knudsen number. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:1246 / 1264
页数:19
相关论文
共 24 条
[1]   LATTICE BOLTZMANN MODEL FOR COMPRESSIBLE FLUIDS [J].
ALEXANDER, FJ ;
CHEN, H ;
CHEN, S ;
DOOLEN, GD .
PHYSICAL REVIEW A, 1992, 46 (04) :1967-1970
[2]  
Arkilic EB, 1993, AIAA SHEAR FLOW C, V3270, P1
[3]  
Arkilic EB, 1994, ASME FED, V197, P57
[4]   SIMULATION OF HEAT AND MOMENTUM-TRANSFER IN COMPLEX MICROGEOMETRIES [J].
BESKOK, A ;
KARNIADAKIS, GE .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 1994, 8 (04) :647-655
[5]   A MODEL FOR COLLISION PROCESSES IN GASES .1. SMALL AMPLITUDE PROCESSES IN CHARGED AND NEUTRAL ONE-COMPONENT SYSTEMS [J].
BHATNAGAR, PL ;
GROSS, EP ;
KROOK, M .
PHYSICAL REVIEW, 1954, 94 (03) :511-525
[6]   DIRECT SIMULATION AND BOLTZMANN EQUATION [J].
BIRD, GA .
PHYSICS OF FLUIDS, 1970, 13 (11) :2676-&
[7]  
Cercignani C, 1988, BOLTZMANN EQUATION I
[8]   RECOVERY OF THE NAVIER-STOKES EQUATIONS USING A LATTICE-GAS BOLTZMANN METHOD [J].
CHEN, HD ;
CHEN, SY ;
MATTHAEUS, WH .
PHYSICAL REVIEW A, 1992, 45 (08) :R5339-R5342
[9]   On boundary conditions in lattice Boltzmann methods [J].
Chen, SY ;
Martinez, D ;
Mei, RW .
PHYSICS OF FLUIDS, 1996, 8 (09) :2527-2536
[10]   A novel thermal model for the lattice Boltzmann method in incompressible limit [J].
He, X ;
Chen, S ;
Doolen, GD .
JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 146 (01) :282-300