The lattice Boltzmann method for the thermocapillary flow in a cavity under microgravity condition

被引：2
|
作者：
Du, Rui [2 ]
Shi, Baochang [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China
[2] Huazhong Univ Sci & Technol, State Key Lab Coal Combust, Wuhan 430074, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 07期
基金：
中国国家自然科学基金;
关键词：
lattice Boltzmann method; thermocapillary flow; microgravity;
D O I：
10.1016/j.camwa.2007.08.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper an LBGK model for thermocapillary flow in microgravity is proposed. In the model two distribution functions are used for the velocity and temperature fields, respectively. Through the Chapman-Enskog expansion, the macroscopic equations for the thermocapillary flow can be recovered from the LBGK model. The boundary conditions for the thermocapillary flow are treated using the non-equilibrium extrapolation scheme. The model is validated by simulating the thermocapillary flow in a two-dimensional (21)) square cavity with a single free surface and differentially heated side walls. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1433 / 1440
页数：8
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