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research-article

Numerical investigation of laminar natural convection in a square cavity with wavy wall and horizontal fin attached to the hot wall

[+] Author and Article Information
Ahmed Kadari

Laboratory of Industrial Technologies, Department of Mechanical Engineering, University Ibn Khaldoun Tiaret, 14000, Algeria
kaduniv14@hotmail.fr

N. Sad Chemloul

Laboratory of Industrial Technologies, Department of Mechanical Engineering, University Ibn Khaldoun Tiaret, 14000, Algeria
sad_2412@yahoo.fr

Said Mekroussi

Laboratory of Industrial Technologies, Department of Mechanical Engineering, University Ibn Khaldoun Tiaret, 14000, Algeria
mekroussi_said@yahoo.fr

1Corresponding author.

ASME doi:10.1115/1.4039081 History: Received July 04, 2017; Revised December 09, 2017

Abstract

Laminar natural convection in differentially heated square cavity with right cold wavy wall and horizontal conducting fin attached to its left hot wall has been investigated numerically. The vertical walls are maintained at different isothermal temperature while the horizontal walls are insulated. The fluid filled the cavity is air with Prandtl number of 0.71. The investigation has been performed for Rayleigh number in the range of 1000-1000000, the thermal conductivity ratio was varied from 10 to100000, three fin length and position have been examined (0.25, 0.5 and 0.75) and three numbers of undulation were tested (one, two and three undulations). The wave amplitude and the fin thickness were kept constant at 0.05 and 0.04 respectively. The results obtained show that increasing the fin thermal conductivity or the Rayleigh number increase the average Nusselt number especially when the fin length increases. It was also found that the fin position enhances the heat transfer when the fin is placed opposite to the crest of the wavy wall. The trend of the local Nusselt number is wavy. The number of undulation has a negligible effect on the average Nusselt number. The average Nusselt number enhanced when a conducting fin is added to the cavity with wavy wall and without fin by 51.23% and 56.85% for one and three undulations respectively.

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