The present numerical studies analyzed three-dimensional natural convection heat transfer in an inclined parallelepiped box filled with fluid saturated porous medium and subjected to end-to-end temperature difference.The three-dimensional natural convection includes non-Darcy's extensions, viz. Brinkman viscous terms and Forchheimer non-linear inertial terms characterized by Darcy number and Forchheimer number respectively. The governing equations have been obtained in terms of vector potential and vorticity-vector for Darcy-Brinkman-Forchheimer flow model. Numerical solutions to the...