Modelling the Hall Effect in a Steady Magneto-Convection and Radiative Heat Transfer Past a Porous Plate
Abstract
Heat transfer features significantly in engineering processes. Blowing of fluids is used in designing thrusters and prevention of corrosion. Suction is used in film cooling and coating of wires in chemical engineering. Numerous research done has focused on thermal reduction in processing streams and neglecting the machine efficiency. The paper investigates the effect of Hall current on a steady magneto-convection and radiative heat transfer over a porous plate with the motive being improving machine efficiency in industries. The transport model is of an incompressible fluid flowing through a porous plate. The magnetic field is imposed perpendicularly to the plate. Equations governing the flow are formulated then converted to higher order ODE’s using the similarity transformation. The resulting ODE’s are solved using the fourth order Runge-Kutta method coupled with a shooting technique. The solution are then executed using MAPLE computer programme and the results displayed graphically and in tabular form. The results are then analysed putting into consideration their industrial and engineering applications. It is observed that Increasing Prandtl number and Grash of number leads to an increase in the fluid velocity and a decrease in skin friction. Increase in magnetic field, and radiation results in increased fluid temperature distribution.