Analytical solution for Marangoni convection over a liquid-vapor surface due to an imposed temperature gradient

被引：23
|
作者：
Zheng, Liancun [1 ]
Zhang, Xinxin [2 ]
Gao, Yingtao [3 ]
机构：
[1] Univ Sci & Technol Beijing, Dept Math & Mech, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, Sch Mech Engn, Beijing 100083, Peoples R China
[3] Univ Sci & Technol Beijing, Sch Civil & Environm Engn, Beijing 100083, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 48卷 / 11-12期
基金：
中国国家自然科学基金;
关键词：
Marangoni convection; Heat transfer; Nonlinear boundary value problem; Analytical decomposition;
D O I：
10.1016/j.mcm.2008.04.003
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper presents a theoretical analysis for Marangoni convection induced flow over a free surface due to an imposed temperature gradient. The analysis assumes that the surface tension varies linearly with temperature but the temperature variation is a power law function of the location. The boundary layer equations are reduced into nonlinear ordinary differential equations. The analytical approximant solutions are represented in terms of a rapid convergent power series with elegantly computable terms and the associated transfer characteristics are discussed. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：1787 / 1795
页数：9
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