The influence of radiation on magneto-hydrodynamics (MHD) boundary layer flow over an exponentially stretching sheet embedded in a thermally stratified porous medium in the presence of heat source and suction/blowing was investigated. Similarity transformation was used to convert the governing equations from partial differential equations into a system of non-linear ordinary differential equations. Solving numerically, we used shooting method along with fourth order Runge-Kutta technique to obtained numerical values. The effects of the obtained numerical values of the dimensionless parameters on skin-friction coefficient, Nusselt number, velocity profile and temperature profile are illustrated in table and graphs plotted using MATLAB. Comparison of the velocity profile with previously published work was presented and found to be in good agreement.

In the paper, the effects of radiation on two dimensional non-Newtonian Casson fluid flows over an exponentially shrinking sheet through a porous medium with heat generation and viscous dissipation are investigated. The governing high nonlinear partial differential equations, with the aid of similarity transformation are converted to nonlinear ordinary differential equations and then solved numerically using a shooting method with fourth order Runge-Kutta scheme. The effects of the controlling parameters on velocity and temperature profiles are illustrated graphically using MATLAB software. The result shows that the skin-friction coefficient and Nusselt number reduces with increase in the values of the radiation and suction parameter. Also, increase in the Casson and suction parameters leads to increase in the velocity distribution of the fluid and decrease in the temperature distribution of the fluid.

Investigating MHD Heat and mass transfer of Nano-fluid over a permeable stretching sheet can lead to improved storage, handling and usage. This work therefore examined the significance of temperature-dependent viscosity and temperature-dependent thermal conductivity on MHD heat and mass transfer of nano-fluid over a nonlinear permeable stretching sheet. The governing partial differential equations describing the nano fluid flow are transformed and parameterized into a system of ordinary differential equations. The resulting mathematical model was solved numerically using shooting technique with fourth order Runge-Kutta method after the transformation by similarity technique. Graphical analysis is conducted to investigate the impact of certain fluid parameters on the momentum, thermal and concentration equations. The results from the graphs showed that temperature-dependent viscosity and temperature-dependent thermal conductivity have appreciable effect on the model. 2010 AMS Subject Classification: 76D05, 76W05