Dufour and Soret effects on MHD flow of viscous fluid between radially stretching sheets in porous medium

doi:10.1007/s10483-012-1632-6

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (11): 1403-1418.doi: https://doi.org/10.1007/s10483-012-1632-6

Dufour and Soret effects on MHD flow of viscous fluid between radially stretching sheets in porous medium

M. NAWAZ¹, T. HAYAT^2,3, A.ALSAEDI³

1. Department of Humanities and Sciences, Institute of Space Technology, Islamabad 44000, Pakistan;
2. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;
3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

收稿日期:2011-12-23 修回日期:2012-07-23 出版日期:2012-11-10 发布日期:2012-11-10
通讯作者: M. NAWAZ, Ph.D., E-mail: nawaz_d2006@yahoo.com E-mail:nawaz_d2006@yahoo.com
基金资助:
Project supported by the Deanship of Scientific Research (DSR) of King Abdulaziz University of Saudi Arabia (No.HiCi/40-3/1432H)

Dufour and Soret effects on MHD flow of viscous fluid between radially stretching sheets in porous medium

M. NAWAZ¹, T. HAYAT^2,3, A.ALSAEDI³

1. Department of Humanities and Sciences, Institute of Space Technology, Islamabad 44000, Pakistan;
2. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;
3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received:2011-12-23 Revised:2012-07-23 Online:2012-11-10 Published:2012-11-10
Supported by:
Project supported by the Deanship of Scientific Research (DSR) of King Abdulaziz University of Saudi Arabia (No.HiCi/40-3/1432H)

摘要/Abstract

摘要： The aim of this paper is to examine the Dufour and Soret effects on the two-dimensional magnetohydrodynamic (MHD) steady flow of an electrically conducting viscous fluid bounded by infinite sheets. An incompressible viscous fluid fills the porous space. The mathematical analysis is performed in the presence of viscous dissipation, Joule heating, and a first-order chemical reaction. With suitable transformations, the governing partial differential equations through momentum, energy, and concentration laws are transformed into ordinary differential equations. The resulting equations are solved by the homotopy analysis method (HAM). The convergence of the series solutions is ensured. The effects of the emerging parameters, the skin friction coefficient, the Nusselt number, and the Sherwood number are analyzed on the dimensionless velocities, temperature, and concentration fields.

关键词: magnetohydrodynamic (MHD) flow, radial stretching, Soret and Dufour effects, porous medium, skin friction coefficient, non-local elasticity, fracture mecha nics, boundaryintegral equation method

Abstract: The aim of this paper is to examine the Dufour and Soret effects on the two-dimensional magnetohydrodynamic (MHD) steady flow of an electrically conducting viscous fluid bounded by infinite sheets. An incompressible viscous fluid fills the porous space. The mathematical analysis is performed in the presence of viscous dissipation, Joule heating, and a first-order chemical reaction. With suitable transformations, the governing partial differential equations through momentum, energy, and concentration laws are transformed into ordinary differential equations. The resulting equations are solved by the homotopy analysis method (HAM). The convergence of the series solutions is ensured. The effects of the emerging parameters, the skin friction coefficient, the Nusselt number, and the Sherwood number are analyzed on the dimensionless velocities, temperature, and concentration fields.

Key words: magnetohydrodynamic (MHD) flow, radial stretching, Soret and Dufour effects, porous medium, skin friction coefficient, non-local elasticity, fracture mecha nics, boundaryintegral equation method

中图分类号:

O343.6

M. NAWAZ;T. HAYAT;A.ALSAEDI. Dufour and Soret effects on MHD flow of viscous fluid between radially stretching sheets in porous medium[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1403-1418.

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Dufour and Soret effects on MHD flow of viscous fluid between radially stretching sheets in porous medium

Dufour and Soret effects on MHD flow of viscous fluid between radially stretching sheets in porous medium

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