Successive Linearization Analysis of the Effects of Partial Slip, Thermal Diffusion, and Diffusion-Thermo on Steady MHD Convective Flow due to a Rotating Disk

We proposed a general formulation of the successive linearization method for solving highly nonlinear boundary value problem arising in rotating disk flow. The problem was studied under the effects of partial slip, thermal diffusion, and diffusion-thermo. The governing fundamental conservation equations of mass, momentum, angular momentum, energy, and concentration are transformed into a system of ordinary differential equations by means of similarity transformations. A parametric study illustrating the influence of the magnetic field, slip factor, Eckert number, Dufour and Soret numbers was carried out.

[1]  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 .

[2]  Stanford Shateyi,et al.  The Effects of Thermal Radiation, Hall Currents, Soret, and Dufour on MHD Flow by Mixed Convection over a Vertical Surface in Porous Media , 2010 .

[3]  Roslinda Mohd. Nazar,et al.  MHD viscous flow and heat transfer due to a permeable shrinking sheet with prescribed surface heat flux , 2010 .

[4]  Sandile Sydney Motsa A New Algorithm for solving nonlinear boundary Value Problems arising in heat Transfer , 2011, Int. J. Model. Simul. Sci. Comput..

[5]  Chang Y. Wang,et al.  The flow due to a rough rotating disk , 2004 .

[6]  M. Ahammad,et al.  Effects of variable chemical reaction and variable electric conductivity on free convective heat and mass transfer flow along an inclined stretching sheet with variable heat and mass fluxes under the influence of Dufour and Soret effects , 2011 .

[7]  E. R. Benton On the flow due to a rotating disk , 1966, Journal of Fluid Mechanics.

[8]  K. Kaladhar,et al.  Analytical solution of MHD free convective flow of couple stress fluid in an annulus with Hall and Ion-slip effects , 2011 .

[9]  Hiranmoy Mondal,et al.  Hydromagnetic non-Darcy flow and heat transfer over a stretching sheet in the presence of thermal radiation and Ohmic dissipation , 2010 .

[10]  S. Motsa,et al.  A new spectral-homotopy analysis method for solving a nonlinear second order BVP , 2010 .

[11]  Satish C. Reddy,et al.  A MATLAB differentiation matrix suite , 2000, TOMS.

[12]  M. Dehghan,et al.  Application of semi‐analytic methods for the Fitzhugh–Nagumo equation, which models the transmission of nerve impulses , 2010 .

[13]  Aytac Arikoglu,et al.  On the MHD and slip flow over a rotating disk with heat transfer , 2006 .

[14]  L. Trefethen Spectral Methods in MATLAB , 2000 .

[15]  E. Williams,et al.  Thermal-diffusion and diffusion-thermo effects on mixed free-forced convective and mass transfer boundary layer flow with temperature dependent viscosity , 1995 .

[16]  D. Pal,et al.  MHD non-Darcy mixed convective diffusion of species over a stretching sheet embedded in a porous medium with non-uniform heat source/sink, variable viscosity and Soret effect , 2012 .

[17]  W. Cochran The flow due to a rotating disc , 1934, Mathematical Proceedings of the Cambridge Philosophical Society.

[18]  T. Kármán Über laminare und turbulente Reibung , 1921 .

[19]  Sandile Sydney Motsa,et al.  An improved spectral homotopy analysis method for MHD flow in a semi-porous channel , 2011, Numerical Algorithms.

[20]  Sandile S. Motsa,et al.  Magnetohydrodynamic Flow Past a Vertical Plate With Radiative Heat Transfer , 2007 .

[21]  Mohammad Mehdi Rashidi,et al.  Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk , 2011 .

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

[23]  Mehdi Dehghan,et al.  Solution of a nonlinear time-delay model in biology via semi-analytical approaches , 2010, Comput. Phys. Commun..

[24]  Mustafa Turkyilmazoglu,et al.  Analytic approximate solutions of rotating disk boundary layer flow subject to a uniform suction or injection , 2010 .

[25]  S. Motsa,et al.  On the solution of MHD flow over a nonlinear stretching sheet by an efficient semi‐analytical technique , 2012 .

[26]  Stanford Shateyi,et al.  Successive Linearisation Solution of Free Convection Non-Darcy Flow with Heat and Mass Transfer , 2011 .

[27]  Hiranmoy Mondal,et al.  Effects of Soret Dufour, chemical reaction and thermal radiation on MHD non-Darcy unsteady mixed convective heat and mass transfer over a stretching sheet , 2011 .