Nonlinear thermal radiation effect on magnetohydrodynamics flow of Cu-H2O and TiO2-H2O of Casson nanofluids over stretching wall through porous channel

This paper presents a numerical solution for the nonlinear thermal radiation effect of magnetohydrodynamic flow of Casson nanofluid over a stretching wall through a porous channel. As the linear thermal radiation leads to a significant difference between the highest and lowest possible temperatures, the nonlinear thermal radiation is used in this work. The governing partial differential equations are changed into nonlinear ordinary differential equations using similarity transformation and then solved using the Runge-Kutta method together with the shooting technique. The graphical representation of the temperature and the velocity profiles is presented for different values of the parameters involved in the problem. The obtained results of the skin friction and the heat transfer are compared with the results in the literature and achieved an excellent agreement.