Heat and Mass Transfer in MHD Stagnation‐point Flow over a permeable Stretching/Shrinking Sheet in the Presence of Radiation Effect, Soret Effect and Slip Parameter

Abstract

The numerical solution of steady two‐dimensional magnetohydrodynamic (MHD)
stagnation‐point flow over a permeable stretching/shrinking sheet with radiation effect,
Soret effect and slip parameter is considered in this study. The mathematical model
formulation was done by reducing the governing partial differential equations to a system
of ordinary differential equations by using a similarity transformation. Next, the ordinary
differential equations were solved numerically using bvp4c functions and shooting
method. Numerical results obtained are presented in tables and graphs, showing the
effects of slip parameter and Soret effect on the flow field, heat and mass transfer
characteristics. The dual solutions are found to exist in a certain range of parameters,
which is shrinking case, while the solution is unique for the stretching case. It is observed
that as the slip parameter increases, the skin friction coefficient decreases while the
Nusselt number and Sherwood number increases. It is observed that the Sherwood number
decrease as the Soret effect increase. Results also indicate that slip effect widens the range
of stretching/shrinking parameter for which solution exists.