Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition (Q1205621)

Summary: The Darcy-Brinkman free convection near a wedge and a cone in a porous medium with high porosity has been considered. The surfaces are subjected to a mixed thermal boundary condition characterized by a parameter \(m\); \(m=0,1,\infty\) correspond to the cases of prescribed temperature, prescribed heat flux and prescribed heat transfer coefficient respectively. It is shown that the solutions for different \(m\) are dependent and a transformation group has been found, by which one can get solution for any \(m\) provided solution for a particular value of \(m\) is known. The effects of Darcy number on skin friction and rate of heat transfer are analyzed.