MHD Boundary Layers Due to a Point Sink with Temperature-Dependent Viscosity/Prandtl Number

Abstract

The influence of temperature-dependent viscosity and Prandtl number on the steady, incompressible MHD boundary layer forced flow (of water) due to a point sink is investigated. The coupled non-linear partial differential equations governing the axisymmetric flow are non-dimensionalized into a system of non-linear ordinary differential equations by similarity transformations, and, later solved numerically using an implicit finite difference scheme along with quasilinearization technique. Computations are carried out to examine the effect of various parameters such as transverse magnetic field, temperature-dependent viscosity /Prandtl number on the flow field and heat transfer. From the results of the present study, it has been observed that the effect of magnetic and the variable thermo-physical parameters are considerable and they should to be taken into consideration in the flow and heat transfer problems, arising in engineering and technological applications.