MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method

doi:10.1007/s10483-012-1599-x

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (8): 975-990.doi: https://doi.org/10.1007/s10483-012-1599-x

MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method

S. S. MOTSA¹, T. HAYAT², O. M. ALDOSSARY³

1. School of Mathematial Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, Pietermaritzburg, South Africa;
2. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;
3. Department of Physics, King Saud University, Riyadh 11451, Saudi Arabia

收稿日期:2011-06-10 修回日期:2012-03-20 出版日期:2012-08-10 发布日期:2012-08-10
通讯作者: S. S. MOTSA, Professor, Ph.D., E-mail: sandilemotsa@gmail.com E-mail:sandilemotsa@gmail.com

MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method

S. S. MOTSA¹, T. HAYAT², O. M. ALDOSSARY³

1. School of Mathematial Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, Pietermaritzburg, South Africa;
2. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;
3. Department of Physics, King Saud University, Riyadh 11451, Saudi Arabia

Received:2011-06-10 Revised:2012-03-20 Online:2012-08-10 Published:2012-08-10

摘要/Abstract

摘要：

This paper investigates the magnetohydrodynamic (MHD) boundary layer flow of an incompressible upper-convected Maxwell (UCM) fluid over a porous stretching surface. Similarity transformations are used to reduce the governing partial differential equations into a kind of nonlinear ordinary differential equations. The nonlinear prob- lem is solved by using the successive Taylor series linearization method (STSLM). The computations for velocity components are carried out for the emerging parameters. The numerical values of the skin friction coefficient are presented and analyzed for various parameters of interest in the problem.

关键词: nonlinear, random response, rotational shell, successive Taylor series linearization method (STSLM), successive linearization method, upper-convected Maxwell (UCM) fluid, boundary layer flow

Abstract:

Key words: nonlinear, random response, rotational shell, boundary layer flow, successive Taylor series linearization method (STSLM), upper-convected Maxwell (UCM) fluid, successive linearization method

中图分类号:

S. S. MOTSA;T. HAYAT;O. M. ALDOSSARY. MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 975-990.

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MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method

MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method

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