Natural Convection of Nanofluids in a Square Enclosure with a Protruding Heater

J. Guiet1, Marcelo Reggio2,1, P. Vasseur1,3
1Ecole Polytechnique, Université de Montréal, C.P. 6079, Succ. “Centre Ville”, Montréal, QC, Canada, H3C 3A7
2Département de Génie Mécanique, École Polytechnique, Université de Montréal, C.P. 6079, Succ. “Centre Ville”, Montréal, QC, Canada, H3C 3A7
3Laboratoire des Technologies Innovantes, Université de PicardieJules Verne d'Amiens, rue des facultés, le Bailly, 80025 Amiens Cedex, France

Tóm tắt

This paper reports a numerical study on natural convection from a protruding heater located at the bottom of a square cavity filled with a copper-water nanofluid. The vertical walls of the cavity are cooled isothermally; the horizontal ones are adiabatic, and the heater is attached to the bottom wall. The heat source is assumed either to be isothermal or to have a constant heat flux. The effective viscosity and thermal conductivity of the nanofluid are modeled according to Brinkman and Patel, respectively. Numerical solutions of the full-governing equations, based on the lattice Boltzmann method, are obtained for a wide range of the governing parameters: the Rayleigh number, Ra; the Prandtl number, Pr; the geometrical parameters specifying the heater; the volume fraction of nanoparticles, Φ. For a particular geometry, it has been found that, for a given Ra, heat transfer is enhanced with increasing Φ, independently of the thermal boundary condition applied on the heater.

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