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Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid. (English) Zbl 1293.76123

Summary: The problem of steady, laminar, mixed convection boundary-layer flow over a vertical cone embedded in a porous medium saturated with a nanofluid is studied, in the presence of thermal radiation. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis with Rosseland diffusion approximation. The cone surface is maintained at a constant temperature and a constant nanoparticle volume fraction. The resulting governing equations are non-dimensionalized and transformed into a non-similar form and then solved by Keller box method. A comparison is made with the available results in the literature, and our results are in very good agreement with the known results. A parametric study of the physical parameters is made and a representative set of numerical results for the local Nusselt and Sherwood numbers are presented graphically. Also, the salient features of the results are analyzed and discussed.

MSC:

76R10 Free convection
76R05 Forced convection
76S05 Flows in porous media; filtration; seepage
76A05 Non-Newtonian fluids
80A20 Heat and mass transfer, heat flow (MSC2010)
78A40 Waves and radiation in optics and electromagnetic theory
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