Analytical Solution for Free Convection Boundary-Layer over a Vertical Cone in a Non-Newtonian Fluid Saturated Porous Medium with Internal Heat Generation
نویسنده
چکیده
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.
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