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ISSN Druckformat: 1940-2503
ISSN Online: 1940-2554
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ANALYTICAL SOLUTION FOR NATURAL CONVECTION HEAT TRANSFER ABOUT A VERTICAL CONE IN POROUS MEDIA FILLED WITH A NON-NEWTONIAN Al2O3-WATER NANOFLUID
ABSTRAKT
This work deals with the problem of a steady free convection boundary layer flow over a downward pointing vertical cone in a porous medium saturated with a non-Newtonian Al2O3-water nanofluid under various prescribed surface temperature thermal boundary conditions. The governing partial differential equations are transformed into ordinary differential equations, employing a similarity approach and are then solved through the optimal homotopy analysis method (optimal HAM). The effects of the parameters involved, such as nanoparticle volume fraction and prescribed temperature parameter on temperature distribution on the surface of the cone and heat transfer characteristics for a non-Newtonian power-law nanofluid with different values of the power-law viscosity index have been studied. Results show that the rate of natural convection heat transfer deteriorates in the presence of Al2O3 nanoparticles, in particular under constant surface temperature conditions (m = 0). Furthermore, the rate of heat flux is highest in the case of dilatant nanofluid, i.e., when the power-law index is equal to 2 (n = 2).
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Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2017. Crossref