FREE-CONVECTION ABOUT A WEDGE AND A CONE SUBJECTED TO MIXED THERMAL-BOUNDARY CONDITIONS

The paper deals with a similarity analysis of free convection about a wedge and a cone which are subjected to mixed thermal boundary conditions. The governing equations and the boundary conditions are reduced to a boundary value problem involving a non-negative parameter m which assumes the values 0,1 and infinity for the cases of prescribed temperature, prescribed heat flux and radiation boundary condition. A numerical solution has been computed for the case of radiation boundary condition. The results for constant temperature and constant heat flux available in literature are deduced with the aid of a simple transformation. Critical cases have been found for which the solution is same for all values of m.