  Fully developed forced convective flow in a channel filled with porous
material bounded by two impermeable walls subject to constant heat flux is
considered. We consider Brinkman-Forchhimer equation to govern the flow inside
the porous medium which accounts for the presence of inertial term. We assume
that the porous medium is anisotropic in nature and permeability is varying
along all the directions, correspondingly, permeability will be a matrix which
appear as a positive semi-definite matrix in the momentum equation. The
anisotropic nature of the porous medium is characterized by anisotropic ratio
and angle. We have obtained the velocity, temperature and Nusselt number
numerically, due to the presence of the non-linear quadratic term in the
momentum equation. The effect of anisotropic permeability ratio and anisotropic
angle on hydrodynamic and heat transfer is shown. We see that Nusselt number is
altered significantly with the anisotropic ratio and angle. We present a fresh
analysis about the inclusion of the permeability matrix in the
Brinkman-Forchhimer extended Darcy momentum equation. To the best of the
authors knowledge, this is the first attempt to analyze general anisotropy
corresponding to Brinkman-Forchhimer extended Darcy model.
