Hydromagnetic Fluid Flow between Parallel Plates where the Upper Plate is Porous in Presence of Variable Transverse Magnetic Fields

Abstract

Analysis of magneto-hydrodynamic fluid flow between parallel plates where the upper plate is porous in presence of variable transverse magnetic fields has been investigated. Both the plates are non-conducting and horizontally placed, constant suction taking place in the upper plate. The upper plate moves in the opposite direction of the fluid flow as the lower plate remains stationary. The electrically conducting Newtonian fluid is unsteady and incompressible. The governing equation for the flow includes the continuity equation, Navier stokes equation and the energy equation. The equations have been formulated and later on non-dimensionalised. The velocity equation is solved simultaneously with the energy equation by the finite difference technique since both the equations are highly non-linear and coupled. The finite difference form of velocity and temperature equations are implemented in MATLAB software version 7.14.0.739 and the results obtained are presented graphically. The effect of varying various parameters on the velocity and temperature profiles has been discussed. These parameters include magnetic parameter M, pressure gradient dp/dx, prandtl number Pr, Eckert number Ec, joules heating parameter R and suction parameter S0. An increase in suction parameter lead to a decrease in velocity and an increase in temperature profiles of the fluid. The results obtained for the velocity and temperature profiles will provide useful information to the engineers in designing and improving efficiency and performance of machines and especially in the dyeing industry and in extraction of metal industry.