Effect of aspect ratio on natural convection in an inclined rectangular enclosure with sinusoidal boundary condition |
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Affiliation: | 1. Department of Theoretical Mechanics, Faculty of Mechanics and Mathematics, Tomsk State University, 634050, Tomsk, Russia;2. Institute of Power Engineering, Tomsk Polytechnic University, 634050, Tomsk, Russia;3. Department of Mathematics, Babe?-Bolyai University, 400084 Cluj-Napoca, Romania |
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Abstract: | The aim of the present numerical study is to understand the natural convection flow and heat transfer in an inclined rectangular enclosure with sinusoidal temperature profile on the left wall. The top and bottom walls of the enclosure are kept to be adiabatic. The finite difference method is used to solve the governing equations with a range of inclination angles, aspect ratios and Rayleigh numbers. The results are presented in the form of streamlines, isotherms and Nusselt numbers. The heat transfer increases first then decreases with increasing the inclination of the enclosure for all aspect ratio and Rayleigh number. Increasing the aspect ratio shows a decreasing trend of the heat transfer for all Rayleigh numbers considered. A correlation equation is also introduced for the heat transfer analysis in this study. |
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