Muhammad Imran Anwar

Conjugate Effects of Radiation Flux on Double Diffusive MHD Free Convection Flow of a Nanofluid over a Power Law Stretching Sheet

This study theoretically investigates the conjugate effects of radiation flux and magnetohydrodynamic (MHD) on free convection boundary layer flow of a nanofluid over a nonlinear stretching sheet. It is assumed that the magnetic Reynolds number is small enough and the sheet is stretched with a power law velocity under the effects of the magnetic field, the buoyancy parameter, and the solutal buoyancy parameter. The model used for the nanofluid incorporates the effects of Rosseland approximation, Brownian motion, and thermophoresis parameters. By using appropriate similarity transformations, the governing nonlinear partial differential equations are transformed into dimensionless form and numerically solved using an implicit finite difference scheme known as the Keller-box method. It is found that the variations of magnetic field, buoyancy parameter, solutal buoyancy parameter, and the power law velocity parameter have strong influence on the motion.

Effects of Magnetohydrodynamic on the Stagnation Point Flow past a Stretching Sheet in the Presence of Thermal Radiation with Newtonian Heating

In this study, the effects of magnetohydrodynamic on the stagnation point flow past a stretching surface in the presence of thermal radiation generated by Newtonian heating are studied, where the heat transfer rate from the bounding surface with a finite heat capacity is proportional to the local surface temperature. The transformed boundary layer equations are solved numerically using the Keller-box method. Numerical solutions are obtained for the local heat transfer coefficient, the surface temperature as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the magnetic parameter and thermal radiation parameter are analyzed and discussed.

Magnetohydrodynamic effects on stagnation point flow past a stretching sheet in presence of thermal radiation with convective boundary conditions

In this study, the mathematical modeling for magnetohydrodynamic effects on stagnation point flow past a stretching sheet in presence of thermal radiation and convective boundary conditions is considered. The transformed boundary layer equations are solved numerically using the Keller-box method. Numerical solutions are obtained for the local heat transfer coefficient, the surface temperature as well as the temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number, stretching parameter, magnetic parameter, thermal radiation parameter and conjugate parameter are analyzed and discussed. In conclusion, the thermal boundary layer thickness depends strongly on these five parameters. It is found that, as Prandtl number, stretching parameter and thermal radiation parameter increase, the temperature profiles decrease. While, as magnetic parameter and conjugate parameter increase, the temperature profiles also increase.