Effects of Variable Viscosity, Buoyancy and Variable Thermal Conductivity on Mixed Convection Heat Transfer Due to an Exponentially Stretching Surface with Magnetic Field

An analysis has been carried out to study the effects of variable fluid viscosity and variable thermal conductivity on mixed convection heat transfer due to an exponentially stretching surface with external magnetic field. The basic boundary layer equations governing the flow and heat transfer are in the form of partial differential equations. These PDE’s are converted into non-linear ordinary differential equations using the suitable similarity transformations. The resulting boundary value problems of flow and heat transfer are solved by using the Runge–Kutta Fehlberg method with efficient shooting technique. The effect of variable viscosity, variable thermal conductivity, Prandtl number, magnetic field parameter, Eckert number, and Grashof’s number (buoyancy) on velocity and temperature are plotted (for PST and PHF case) and discussed in detail.