NON-DARCY NATURAL CONVECTION OF A NANOFLUID ABOUT A PERMEABLE VERTICAL CONE EMBEDDED IN A POROUS MEDIUM

An analysis is performed to study the effect of uniform wall transpiration on non-Darcy free convection boundary-layer flow over a permeable vertical cone embedded in a porous medium saturated with a nanofluid. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The governing partial differential equations are transformed into a set of non-similar equations and solved numerically by an efficient implicit, iterative, finite-difference method. Comparisons with previously published work are performed and excellent agreement is obtained. Numerical results are obtained for the velocity, temperature and nanoparticles volume fraction profiles, as well as the friction factor, local Nusselt number and the local Sherwood number for several values of the parameters, namely, the Ergun number Er ranging from 0.0 to 0.6, Lewis number Le ranging from 1.0 to 20, buoyancy ratio parameter Nr ranging from 0.1 to 0.7, Brownian motion parameter Nb ranging from 0.1 to 0.7, thermophoresis parameter Nt ranging from 0.1 to 0.7 and the transpiratio