Heat and mass transfer effect on a radiative second grade MHD flow in a porous medium over a stretching sheet

The present problem deals with a radiative second grade fluid flow through a porous medium over a semi infinite stretching sheet. In the present study, governing equations for the third grade fluid has been formulated. However, computation has been made for a second grade fluid as a particular case of third grade of fluid. The bounding surface is subjected to power law temperature distribution and heat flux. Confluent hypergeometric function and Runge-Kutta method of fourth order are used to solve the transformed non-linear governing equations. The physical variables such as velocity, temperature and concentration are studied in response to radiative heat transfer, electromagnetic mechanical force and porosity of the medium. The important findings of the present study are: the applied transverse magnetic field prevents the growth of boundary layer but accelerates the mass transfer; the presence of porous medium in a higher Reynolds number-fluid reduces the skin friction which is desirable for maintaining laminarity of flow and also for reduction of heat transfer rate at the surface; the temperature distribution decreases with the thermal radiation for both PST and PHF cases. In asymptotic case, presence of thermal radiation improves thermal stability.