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A transient free convection study with temperature-dependent viscosity in a square cavity with a local heat source

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, , Citation M S Astanina and M A Sheremet 2016 IOP Conf. Ser.: Mater. Sci. Eng. 124 012039 DOI 10.1088/1757-899X/124/1/012039

1757-899X/124/1/012039

Abstract

Unsteady natural convection inside of a differentially-heated square enclosure filled with a fluid of temperature-dependent viscosity has been numerically studied. A mathematical model formulated in the dimensionless stream function and vorticity has been solved by a finite difference method of the second order accuracy. The effect of dimensionless time and Prandtl number on streamlines and isotherms has been investigated for Ra = 105. The results clearly demonstrate an evolution of fluid flow and heat transfer in the case of variable viscosity fluid.

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10.1088/1757-899X/124/1/012039