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.

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... ions 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. Index Terms-Implicit finite-difference scheme, laminar mhd boundary layer flow, point sink, quasilinearization, temperature dependent viscosity/prandtl number.