This article describes the effects of Joule heating and chemical reaction on unsteady MHD mixed convective micropolar fluid over a stretching sheet in presence of radiation, non-uniform heat source and porous medium. The arising non-linear coupled partial differential equations are reduced to a set of coupled non-linear ordinary differential equations and then solved numerically by using the Runge– Kutta–Fehlberg fourth–fifth order method along shooting technique. The graphical and tabular results elucidate the influence of different non-dimensional governing parameters on the velocity, temperature and concentration fields along with the wall friction, local Nusselt and Sherwood numbers. We found the dual nature of the solutions for suction and injection cases. A good agreement of the present results has been observed by comparing with the existing literature results.
Numerical expression for steady 2D natural convection magnetohydrodynamics flow of micropolar fluid past along a vertical surface embedded through non-Darcian porous medium in the presence of heat source, chemical reaction, viscous dissipation and thermal radiation is obtained. Variable wall temperature and concentration in a doubly stratified are taken into account. The initial governing boundary layer equations are transformed to a system of ODEs, which are then solved numerically by using the Runge– Kutta–Fehlberg fourth–fifth order method along shooting technique. A parametric study is conducted and so that numerical result are obtained for the velocity, micro-rotation, temperature and concentration as well as the local friction factor coefficient, local couple stress, local Nusselt and Sherwood numbers for different values of the governing parameters, namely, the magnetic parameter, material parameter, Prandtl number, radiation parameter, chemical reaction parameter and viscous dissipation and discussed in detail. Comparison in limiting case is also part of present study to validate the obtained results.
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