Conjugate free convection from a vertical plate fin with a rounded tip embedded in a porous medium

In this paper the two-dimensional conjugate free convection in a porous medium is investigated from a vertical plate fin. Both physically and mathematically it is important to consider a smooth profile for the tip of the fin, such as a rounded tip of an arbitrary shape. Such fin shapes approximate well the rectangular fin, and their study allows a more accurate prediction of the heat transfer quantities, since no restrictive conditions have to be imposed, such as an insulated tip, and there are no singularities appearing in the mathematical formulation.