Abstract: In
this paper we studied the effects of
non-uniform permeability and magnetic field
strength on heat and mass transfer for the
flow of non-Newtonian fluid (biviscosity
fluid) underlying an axisymmetric spreading
surface. In modeling the flow, when the
magnetic field strength and permeability are
depending on the radial distance r,
similarity solutions were utilized to
represent the governing equations with
appropriate boundary layer assumptions. The
biviscosity model was used to characterize the
non-Newtonian fluid behavior. Numerical
results for the governing boundary layer
equations were obtained by applying the quasi-linearization
method. The results have been shown
graphically, and the effect of non-dimensional
parameters of the problem, such as, M
(magnetic parameter), b
(parameter denotes the upper limit of apparent
viscosity), K0(permeability
parameter), n
(the surface temperature and concentration
variation parameter), Sc (Schmidt number), Sr (Soret
number), Df
(Dufour number), and Pr
(Prandtl number) illustrated on the velocity,
temperature and concentration. Also, values of
the skin friction Cf,Nusselt
number Nu
and Sherwood number Nm
are tabled and illustrated by accompanying
profiles.
Keywords and phrases: magnetohydrodynamic, non-Newtonian, biviscosity, heat transfer, mass transfer, porous medium.
