Abstract:
In this study the combined effects of magnetic fields, buoyancy force, thermal radiation, viscosity, porosity, rotation and Joule’s heating on flow variables have been investigated numerically. The x-axis is along the plate in upward direction, z-axis is normal to the plane of the plate and y-axis is perpendicular to x-z-plane. A uniform transverse magnetic field is applied in a direction which is parallel to z–axis. The equations governing turbulent flow are modelled using Reynolds-averaged Navier–Stokes equations. The final set of equations are non linear and highly coupled and thus no analytical method can be used to obtain their solution. These equations are converted to a system of linear equations and numerical techniques are used to obtain the approximate solutions. In that case the partial derivatives in the equations are re-written into their corresponding finite differences. The solution is generated by computer generated program code developed in MATLAB version 7.90.529 (R2009b). Graphical results showing the effects of varying various flow parameters on the velocity and temperature profiles are presented and discussed. The results obtained are useful in engineering, industries and many other scientific fields.
