Forced convection heat transfer of Casson fluid in non-Darcy porous media

Forced convection of non-Newtonian Casson fluid laminar boundary layer flow past an isothermal horizontal flat plate in non-Darcy porous media is studied using Darcy-Forchheimer-Brinkman model. Similarity variables are used to transform the boundary layer equations. The boundary layer equations are reduced into system of first-order differential equations using similarity method. Then, solved numerically using adaptive Runge-Kutta-Fehlberg scheme simultaneously with shooting technique. The effects of Casson parameter, porosity, first- and second-order porous resistances, and Prandtl number on the fluid flow and heat transfer are investigated in terms of the local skin friction and local heat transfer parameters. In addition, velocity and temperature boundary layer profiles are plotted for all considered parameters. It is found that the heat transfer could be enhanced by increasing the Casson parameter and the porous resistance terms. To the contrary, the increase in the porosity reduces heat transfer rates. Finally, the increase in the Prandtl number enhances the heat transfer rates.