Effects of Temperature Dependent Viscosity on Magnetohydrodynamic Natural Convection Flow past an Isothermal sphere

Abstract

In this study, the e ects of temperature dependent viscosity on magnetohydrodynamic natural convection ow past an isothermal sphere are determined. The uniformly heated sphere is immersed in a viscous and incompressible uid where viscosity of the uid is taken as a non-linear function of temperature. The Partial Di erential Equations governing the

ow are nonlinear in nature, thus,they are transformed into non dimensional form and solved using the Direct Numerical Scheme and implemented in matrix Laboratory. The numerical results obtained are presented graphically and in a table and are discussed. In this study, it has been observed that increasing the Magnetic parameter leads to a de- crease in velocity, temperature, skin friction and the rate of heat transfer. It has also been noted that increase in the Grashof number leads to an increase in velocity and tempera- ture whereas increase in the values of viscous variation parameter leads to an increase in temperature but there is a decrease in velocity. These results are useful in engineering,technology and biomedical fields.