Free convection inside a porous square cavity with convective boundary condition using spline functions (Q2126798)

The authors investigate in this paper the problem of free convection in a square cavity filled with a porous medium, with convective boundary condition on the left wall of the cavity. The governing equations are first transformed to dimensionless variables and then are solved numerically using a cubic spline colocation method. The effects of two very important parameters, the Biot (Bi) and Rayleigh (Ra) numbers, are discussed. A comparison of the average Nusselt number Nu at the hot wall with results from the open literature is performed. The comparison is very good, which shows that the cubic spline collocation method works efficiently for such problems. The present problem has not been considered before by any researcher.