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

页码：1433 / 1440

页数：8

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