Effects of nonlinear Rosseland thermal radiation on MHD steady wall jet flow

Analysis of wall jet flow in two dimensions through a slot is explored with magneto-hydrodynamic effects. The nonlinear Rosseland approximation is also taken into account. By using the similarity solutions, the governing equations are transformed into ordinary differential equations. A numerical solution of the problem is obtained by utilizing Runge–Kutta–Fehlberg method coupled with shooting method. Graphical representations are also made for useful analysis of the problem. The value of temperature parameter θw > 1 is considered for the nonlinear radiation, and it has been observed that magnetic parameter plays an important role in normalizing the velocity profile and reducing the wall heat transfer. Also, it was found that radiation supported the temperature profile in a way that for incremental values of radiation parameter, we have observed an increase in thermal boundary layer thickness. Also, the Nusselt number increases for higher value of radiation parameter. Also, the rate of heat transfer increases for the fluid having high value of Prandtl number.

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