Free Convection Boundary Layer over a Vertical Cone in a Non- Newtonian Fluid Saturated Porous Medium with Internal Heat Generation

Abstract

The steady free convection boundary layer over a vertical cone embedded in a porous medium filled with a non-Newtonian fluid with an exponential decaying internal heat generation is studied in this paper. We adopt for the non-Newtonian fluid the well-known model of a power-law fluid. Two cases are considered, variable wall temperature (VWT) and variable heat flux (VHF), respectively. As for the classical problem  without internal heat generation, it has been found that similarity solutions exist for the case studied here, when internal heat generation is present in the porous medium. The similarity equations are solved numerically using a very efficient implicit finite-difference scheme. The obtained results are compared with those from the open literature and it is shown that they are in very good agreement.