Steady Boundary Layer Magnetohydrodynamic Viscous Flow and Heat Transfer of Nanofluid Over Stretching Sheet in Presence of Radiation and Heat Source

The boundary layer flow and heat transfer of nanofluid due to an exponentially stretching sheet in the presence of magnetic field, viscous dissipation, heat source, and thermal radiation is analytically studied in this paper. The ordinary differential equations are achieved from the governing nonlinear partial differential equations using similarity transformation. The resulting equations are solved analytically using Optimal Homotopy Asymptotic Method (OHAM) which is most applicable in the analytical analysis of nonlinear engineering problems. The obtained results are in good agreement with the previous published results with the same conditions. The results are shown that the skin friction is an increasing function of nanofluid concentration and the Nusselt number is a decreasing function of nanofluid concentration. The results are investigated carefully for the various values of parameters. For the limited range of parameters, the skin friction is an increasing function of magnetic field and the Nusselt number is a decreasing function of magnetic field, viscous dissipation, thermal radiation, and heat source. Moreover, the effects of viscous dissipation and thermal radiation on the reduced Nusselt number are investigated for the wide range of parameters where the reverse heat transfer process from fluid to the surface occurs for the large values of Eckert number. For the wide range of parameters, it is found that the variations of reduced Nusselt number with respect to the thermal radiation parameter and viscous dissipation parameter are complex functions of stated parameters that they are investigated in detail.