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.
Index Terms—Implicit finite-difference scheme, laminar mhd
boundary layer flow, point sink, quasilinearization,
temperature dependent viscosity/prandtl number.
A.T. Eswara is with the Department of Mathematics, P.E.S. College of
Engineering, Mandya-571 401, India (e-mail: lens10@ ymail.com).
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Cite: A. T. Eswara, "MHD Boundary Layers Due to a Point Sink with
Temperature-Dependent Viscosity/Prandtl Number," International Journal of Modeling and Optimization vol. 4, no. 5, pp. 350-353, 2014.