Convective flow past an accelerated porous plate in rotating system in presence of magnetic field

Abstract Investigation on hydromagnetic convective flow of an incompressible homogeneous viscous liquid over an accelerated porous plate with suction/injection is presented using Laplace transform technique. The whole system is in a state of solid body rotation with constant angular velocity about z′-axis normal to the plate. The boundary conditions of the problem are of physical significance and thus the problem may have some important and interesting characteristic features of hydromagnetic spin up flows. The effects of suction/injection parameter on the velocity field and of Prandtl number on temperature field are graphically shown.

[1]  J. L. Gregg,et al.  Heat transfer from a rotating disk to fluids of any prandtl number , 1959 .

[2]  B. Jha MHD free-convection and mass-transform flow through a porous medium , 1991 .

[3]  H. A. Attia,et al.  Asymptotic solution for the flow due to an infinite rotating disk in the case of small magnetic field , 1998 .

[4]  E. Sparrow,et al.  Magnetohydrodynamic Flow and Heat Transfer About a Rotating Disk , 1962 .

[5]  J. P. Hartnett,et al.  The Influence of Prandtl Number on the Heat Transfer From Rotating Nonisothermal Disks and Cones , 1961 .

[6]  I. A. Hassanien,et al.  Unsteady magnetohydrodynamic micropolar fluid flow and heat transfer over a vertical porous plate through a porous medium in the presence of thermal and mass diffusion with a constant heat source , 2004 .

[7]  J. P. Hartnett,et al.  Advances in Heat Transfer , 2003 .

[8]  Frank Kreith,et al.  Convection Heat Transfer in Rotating Systems , 1969 .

[9]  K. Cramer,et al.  Magnetofluid dynamics for engineers and applied physicists , 1973 .

[10]  L. Debnath,et al.  Unsteady multiple boundary layers on a porous plate in a rotating system , 1973 .

[11]  A. Ogulu,et al.  Heat and mass transfer of an unsteady MHD natural convection flow of a rotating fluid past a vertical porous flat plate in the presence of radiative heat transfer , 2007 .

[12]  C. Thornley ON STOKES AND RAYLEIGH LAYERS IN A ROTATING SYSTEM , 1968 .

[13]  Ali J. Chamkha Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption , 2004 .

[14]  Youn J. Kim,et al.  Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction , 2000 .

[15]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[16]  On the unsteady hydromagnetic boundary layer flow induced by torsional oscillations of a disk , 1975 .

[17]  Lokenath Debnath,et al.  On Unsteady Magnetohydrodynamic Boundary Layers in a Rotating Flow , 1971 .

[18]  N. W. McLachlan,et al.  Complex Variable Theory and Transform Calculus , 1954 .

[19]  A. Gupta Ekman Layer on a Porous Plate , 1972 .