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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2013006127
pages 73-82

ANALYTICAL SOLUTION FOR NATURAL CONVECTION HEAT TRANSFER ABOUT A VERTICAL CONE IN POROUS MEDIA FILLED WITH A NON-NEWTONIAN Al2O3-WATER NANOFLUID

Alireza Rasekh
Department of Flow, Heat and Combustion Mechanics, Faculty of Engineering and Architecture, Ghent University, Ghent, Belgium
Davood Ganji (D.D. Ganji)
Babol University
http://sciencewatch.com/dr/ne/08decne
S. Tavakoli
Department of Mechanical Engineering, Babol University of Technology, Babol, Iran

ABSTRACT

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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