Numerical Study of Transient/Steady State Mixed Convection Flow in a Vertical Channel With Radiation Impression

In this paper, the hydro magnetic combined-convection flow rate of sticky conducting fluid in the presence of cross magnetic field is considered.Referable to the existence of the radiative heat flux in the energy equation, the mathematical model appears to be highly nonlinear.Hence the essential coupled non-linear partial differential equations were solved with an efficient finite difference scheme and analytical solution of the steady state by the Perturbation method.Computations were performed via flow parametric quantities on velocity, temperature, skin friction, Nusselt number as well as the expression of the fluid buoyancy.The numerical solution of the equations are obtained first selecting the parameters that are involved such as working fluid parameter is chosen as 0.71 and 7.0, thermal radiation parameter 0 ≤ R ≤1.8 to control finite temperature blow up, the Grashof number corresponds to both external heating/cooling with fixed Reynolds number while other parameters are chosen arbitrary.The results were presented on line graphs.It is interested to report that, radiation parameter, temperature difference parameter assists the velocity and temperature.Furthermore, the result exhibited good agreement with earlier reported studies.The results of this study can be applicable to the field of devices for improving heat transfer efficiency, chemical synthesis, enhancing the performances of micro-electro-mechanical systems and mini-devices, heating and energy generation, designing efficient energy conversion processes, and so on.