The Natural Convection in a Square Cavity Filled by Two Immiscible Newtonian and Non-Newtonian Liquids Heated Partially from Bottom
In this study, the natural convection in a square cavity filled by two immiscible Newtonian and non-Newtonian liquids heated partially from bottom wall was numerically investigated. The heat source placed on the bottom of a cavity produces a uniform heat flux of q˳". The remaining parts of the bottom wall of the cavity are insulated and the vertical and top walls are kept at cold temperature of TC. The study investigates the effects of relevant parameters such as the Non-Newtonian to Newtonian volume ratio (0≤H≤0.7), the power-law index (n=0.6 and 1.4), Rayleigh number (103 ≤Ra≤106 ) and the Non-Newtonian Prandtl (Pr2=100 and 1000) on flow and temperature fields and the rate of heat transfer. The governing dimensionless equations for the power-law and Newtonian fluids flow, based on properties of Newtonian fluid with Pr1=100, are solved with the numerical finite difference method based on the control volume formulation and SIMPLE algorithm. In order to evaluate the code, its results were compared to another paper in the field of non-Newtonian fluids. Increasing the average Nusselt number for heat source means that the source temperature difference with the cold walls decreases. The results show that increasing the non-Newtonian fluid Prandtl number due to decreasing the thermal conductivity of the non-Newtonian fluid increases the heat source temperature and decreases the average Nusselt number. Also with stronger natural convection in the square enclosure, the average Nusselt number for non-Newtonian fluid increase with decreased power law index.
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