Effects of Modified Ohm's and Fourier’s Laws on Electromagnetic Micropolar Fluid Subjected to Ramp-Type Heating

Abstract

Effects of modified Ohm's and Fourier's laws on two-dimensional electromagnetic (EM) flow of an incom- pressible micropolar fluid over a moving plate are studied. Ohm's law is modified by the inclusion of two terms, one for the temperature gradient and the other for the cross product of the velocity with the initial magnetic field. Fourier's law of heat conduction is modified to include the relaxation time. The effects of the modified Ohm's law (ko parameter) and Alfven velocity parameter α in two cases the first for strong concentration (n=0) and the other for weak concentration (n=1/2) have discussed. The purpose of the latter term is to produce finite speed of heat conduction. Laplace and exponential Fourier transform techniques are used to obtain the solution by a direct approach. The solution of the problem in the physical domain is obtained by using a numerical method for the inversion of the Laplace transforms based on Fourier series expansions. The distributions of the velocity components, the temperature, and the induced magnetic and electric fields are obtained. The numerical values of these functions are represented graphically.