
Analytical approximate solutions for Marangoni convection boundary layer equations
Author(s) -
Liancun Zheng,
Sheng Xiao-Yan,
Xinxin Zhang
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.5298
Subject(s) - marangoni effect , convection , marangoni number , boundary layer , mechanics , flow (mathematics) , heat transfer , convergent series , physics , power series , computer science , mathematical analysis , mathematics
This paper presents a theoretical analysis for the flow and heat transfer induced by Marangoni convection and an efficient analytical decomposition and numerical technique is given. The approximately analytical solution may be represented in terms of a rapid convergent power series with elegantly computable terms. The results are compared with the numerical ones in references and the associated transfer behavior is analyzed.