Numerical and analytical comparisons of slanted Lorentz forces on thermal radiation flow of a micropolar fluid

Abstract

The transient flow of a viscous incompressible electrically conducting micro-stretch fluid over an infinite vertical porous plate in the presence of slanted hydromagnetic flow with an aligned angle of 0° to 90° and thermal radiation effects has been analyzed. The governing equations are solved analytically by using the technique of the state-space approach and the inversion of the Laplace trans-forms is carried out using a numerical approach for varies physical parameters on the velocity, microrotation, micro-stretch and temperature profiles are shown graphically. In order to verify the accuracy of the present results, we have compared these results with the numerical solution by using the Crank-Nicolson implicit finite difference method. It is found that the thickness of thermal boundary-layer increases with an increase in the value of thermal radiation whereas antithesis trend is seen with increasing the Prandtl number.