HYDROMAGNETIC BOUNDARY LAYER FLOW AND HEAT TRANSFER OVER A LINEARLY SHRINKING PERMEABLE SURFACE

This paper presents the effects of magnetic field on the viscous incompressible electrically conducting fluid flow and heat transfer over a linearly shrinking permeable surface. The governing boundary layer equations are reduced into ordinary differential equations by a similarity transformation. The exact solution of the ordinary differential equation for fluid flow is already known. The ordinary differential equation for energy equation is solved analytically for both power-law surface temperature (PST) and power-law heat flux (PHF) cases when sM > 1, where s and M are the suction and magnetic parameter respectively. The effects of Prandtl number, the wall mass transfer parameter and the power index on the temperature distribution in the fluids are studied. For some cases, temperature overshoot at the wall is observed. Some solutions involving negative temperature values are noticed and in reality, these solutions may not have physical meaning.

[1]  K. Vajravelu.  Hydromagnetic flow and heat transfer over a continuous, moving, porous, flat surface , 1986 .

[2]  A. Gupta,et al.  HYDROMAGNETIC FLOW AND HEAT TRANSFER OVER A STRETCHING SHEET , 1979 .

[3]  Helge I. Andersson,et al.  An exact solution of the Navier-Stokes equations for magnetohydrodynamic flow , 1995 .

[4]  S. Devi,et al.  ANALYTICAL SOLUTION OF MHD FLOW WITH RADIATION OVER A STRETCHING SHEET EMBEDDED IN A POROUS MEDIUM , 2010 .

[5]  Muhaimin,et al.  Effects of heat and mass transfer on nonlinear MHD boundary layer flow over a shrinking sheet in the presence of suction , 2008 .

[6]  Ishak Hashim,et al.  Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet , 2010 .

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

[8]  Tiegang Fang,et al.  Closed-form exact solutions of MHD viscous flow over a shrinking sheet , 2009 .

[9]  C. Wang,et al.  Viscous flow due to a shrinking sheet , 2006 .

[10]  L. Crane.  Flow past a stretching plate , 1970 .

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

[12]  Tasawar Hayat,et al.  The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet , 2009 .

[13]  Eugen Magyari,et al.  Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface , 1999 .

[14]  R. J. Goldstein,et al.  Flow and heat transfer in the boundary layer on a continuous moving surface , 1967 .

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