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

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

M. NAWAZ1, T. HAYAT2,3, A.ALSAEDI3   

  1. 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)

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

2010 MSC Number: 

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