ON VARIABLE LAMINAR CONVECTIVE FLOW PROPERTIES DUE TO A POROUS ROTATING DISK IN A MAGNETIC FIELD

摘要

The hydromagnetic flow of a steady, laminar conducting viscous fluid due to an impulsively started rotating porous disk is studied taking into account the variable fluid properties (density, ρ, viscosity, μ, and thermal conductivity, κ). These fluid properties are taken to be dependent on temperature. The system of axisymmetric nonlinear partial differential equations governing the MHD steady flow and heat transfer are written in cylindrical polar coordinates and reduced to nonlinear ordinary differential equations by introducing suitable similarity parameters. The resulting steady equations are reduced to an initial valued problem and solved numerically using a shooting method. A parametric study of all parameters involved was conducted, and a representative set of results showing the effect of the magnetic field (M), the uniform suction parameter (W < 0) and the relative temperature difference parameter (ε) on velocities, temperature, skin-friction and Nusselt number are illustrated graphically and tabularly to show typical trends of the solutions.