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

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.

[1]  B. C. Sakiadis.  Boundary‐layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface , 1961 .

[2]  B. C. Sakiadis.  Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow , 1961 .

[3]  P. Ariel.  Axisymmetric flow of a second grade fluid past a stretching sheet , 2001 .

[4]  S. Liao,et al.  Beyond Perturbation: Introduction to the Homotopy Analysis Method , 2003 .

[5]  S. Liao.  A new branch of solutions of boundary-layer flows over an impermeable stretched plate , 2005 .

[6]  R. Cortell.  Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet , 2006 .

[7]  Rafael Cortell Bataller,et al.  Effects of heat source/sink, radiation and work done by deformation on flow and heat transfer of a viscoelastic fluid over a stretching sheet , 2007, Comput. Math. Appl..

[8]  Fathi M. Allan,et al.  Derivation of the Adomian decomposition method using the homotopy analysis method , 2007, Appl. Math. Comput..

[9]  C. Wang.  Natural convection on a vertical radially stretching sheet , 2007 .

[10]  J. S. Huang,et al.  Flow and heat transfer over an unsteady stretching surface with non-uniform heat source , 2008 .

[11]  M. A. El-aziz,et al.  Effect of Hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption , 2008 .

[12]  I. Pop,et al.  Magnetohydrodynamic (MHD) flow and heat transfer due to a stretching cylinder , 2008 .

[13]  E. Osalusi,et al.  Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer of a steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating☆ , 2008 .

[14]  T. Hayat,et al.  MHD flow and mass transfer of a upper-convected Maxwell fluid past a porous shrinking sheet with chemical reaction species , 2008 .

[15]  I. Hashim,et al.  HOMOTOPY ANALYSIS METHOD FOR FRACTIONAL IVPS , 2009 .

[16]  C. Wang.  Analysis of viscous flow due to a stretching sheet with surface slip and suction , 2009 .

[17]  S. Abbasbandy,et al.  Solution of the MHD Falkner-Skan flow by homotopy analysis method , 2009 .

[18]  A. Bataineh,et al.  Modified homotopy analysis method for solving systems of second-order BVPs , 2009 .

[19]  O. Bég,et al.  Numerical study of free convection magnetohydrodynamic heat and mass transfer from a stretching surface to a saturated porous medium with Soret and Dufour effects , 2009 .

[20]  S. Liao.  Notes on the homotopy analysis method: Some definitions and theorems , 2009 .

[21]  J. S. Huang,et al.  Heat and mass transfer for Soret and Dufour’s effects on Hiemenz flow through porous medium onto a stretching surface , 2009 .

[22]  I. Abbas,et al.  Finite element analysis of hydromagnetic flow and heat transfer of a heat generation fluid over a surface embedded in a non-Darcian porous medium in the presence of chemical reaction , 2009 .

[23]  A. Afify.  Similarity solution in MHD: Effects of thermal diffusion and diffusion thermo on free convective heat and mass transfer over a stretching surface considering suction or injection , 2009 .

[24]  S. Mukhopadhyay.  Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium , 2009 .

[25]  H. El-Arabawy.  Exact Solutions of Mass Transfer over a Stretching Surface with Chemical Reaction and Suction/Injection , 2009 .

[26]  I. Pop,et al.  Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature , 2009 .

[27]  Magnetohydrodynamic Three-Dimensional Flowof a Second-Grade Fluid with Heat Transfer , 2010 .

[28]  M. Awais,et al.  Three‐dimensional flow of upper‐convected Maxwell (UCM) fluid , 2011 .

[29]  M. Nawaz,et al.  Hall and ion‐slip effects on three‐dimensional flow of a second grade fluid , 2011 .

[30]  S. Abbasbandy,et al.  A new application of the homotopy analysis method: Solving the Sturm–Liouville problems , 2011 .

[31]  M. Nawaz,et al.  Soret and Dufour effects on the mixed convection flow of a second grade fluid subject to Hall and ion‐slip currents , 2011 .

[32]  T. Hayat,et al.  Axisymmetric magnetohydrodynamic flow of micropolar fluid between unsteady stretching surfaces , 2011 .