Summary: | In the present paper we examine the effects of viscous dissipation, Joule
heating and heat source/sink on non-Darcy MHD natural convection heat
transfer flow over permeable horizontal circular cylinder in a porous medium.
The boundary layer equations, which are parabolic in nature, are normalized
into non-similar form and then solved numerically with the well-tested,
efficient, implicit, stable Keller-box finite difference scheme. A parametric
study illustrating the influence of Darcy parameter (Da), Forchheimer
parameter (Λ), Grashof number(Gr), heat source/sink parameter (Ω) and
viscous dissipation parameter (Ec) on the fluid velocity, temperature as well
as local skin-friction and Nusselt numbers is conducted Increasing
Forchheimer inertial drag parameter (Λ) retards the flow considerably but
enhances temperatures. Increasing viscous dissipation parameter(Ec) is found
to elevate velocities i.e. accelerate the flow and increase temperatures.
Increasing heat source/sink parameter (Ω) is found to elevate velocities and
increase temperatures. Increasing the Grashof number (Gr) is found to elevate
the velocity and decrease the temperatures. Local skin friction number is
found to be increases with increasing heat source/sink parameter (Ω) where as
Local Nusselt number is found to decrease with increasing heat source/sink
parameter (Ω).
|