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 analytically using a Homotopy analysis method. The obtained solutions, in comparison with the
numerical solutions (fourth-order Runge-Kutta scheme) admit a remarkable accuracy.
کلید واژگان :
Non-newtonian fluid • dufour number • soret number • nusselt number • sherwood number
