A Fluid Flow
and heat transfer problem in porous media with a uniformly distributed constant
heat source in the flow region.
Mathematics, Maulana Azad Nation Urdu University, Hyderabad, Telangana, India. E-mail:
This paper deals
with a steady forced convective flow of a viscous fluid of finite depth in a
porous medium over a fixed horizontal, impermeable bottom with a uniformly
distributed constant heat source in the flow region. Exact solutions of
Momentum and Energy equations are obtained when the temperatures on the fixed
bottom and on the free surface are prescribed. Flow rate, Mean velocity,
Temperature, Mean Temperature in the flow region and the heat transfer rate on
the boundaries have been obtained. The cases of large and small values of
porosity coefficient have been obtained as limiting cases.
KeyWords: Porous Medium, Velocity, Flow
rate, Temperature, Mean temperature, Nusselt number, Porosity parameter.