Amirkabir University of Technology Amirkabir Journal of Mechanical Engineering 2008-6032 50 2 2018 06 22 Natural Convection Heat Transfer Inside a Square Enclosure with a Flexible Fin Natural Convection Heat Transfer Inside a Square Enclosure with a Flexible Fin 233 254 952 10.22060/mej.2017.11808.5189 FA M. Ghalambaz Mechanical Engineering Department, Dezful Branch, Islamic Azad University, Dezful, Iran 0000-0003-0965-2358 E. Jamesahar Mechanical Engineering Department, Dezful Branch, Islamic Azad University, Dezful, Iran M. Sabour Mechanical Engineering Department, Dezful Branch, Islamic Azad University, Dezful, Iran Journal Article 2016 07 22 The present study aims to address the effect of the presence of a flexible fin on the natural convection heat transfer inside a square cavity. A flexible fin is placed on the left vertical wall by initial tilted angle 30o from the horizontal direction. An Arbitrary Lagrangian-Eulerian method for fluid-structure (fluid-flexible fin) interaction is utilized. Based on this method, the governing system of equations for laminar fluid and heat transfer is formulated into a non- dimensional form and then solved using the finite element method and then results accuracy evaluated against previous valid studies. The results are plotted for an enclosure containing a flexible fin as well as a solid fin in the non-dimensional time interval of 0 to 0.07 and in the Rayleigh number range of 106 to 2×107 and the fin tilted angle of -10° to +40°. The results show that the presence of a flexible fin deteriorates the heat transfer compared to a solid fin. In other words, using an insulated fin instead of a conductive fin makes different patterns for average Nusselt number curve in a range time and causes a reduction of the rate of heat transfer. Also, the presence of a flexible fin mounted on the hot wall especially affects the average Nusselt number in the areas above the fin location and induces oscillating heat transfer patterns. The present study aims to address the effect of the presence of a flexible fin on the natural convection heat transfer inside a square cavity. A flexible fin is placed on the left vertical wall by initial tilted angle 30o from the horizontal direction. An Arbitrary Lagrangian-Eulerian method for fluid-structure (fluid-flexible fin) interaction is utilized. Based on this method, the governing system of equations for laminar fluid and heat transfer is formulated into a non- dimensional form and then solved using the finite element method and then results accuracy evaluated against previous valid studies. The results are plotted for an enclosure containing a flexible fin as well as a solid fin in the non-dimensional time interval of 0 to 0.07 and in the Rayleigh number range of 106 to 2×107 and the fin tilted angle of -10° to +40°. The results show that the presence of a flexible fin deteriorates the heat transfer compared to a solid fin. In other words, using an insulated fin instead of a conductive fin makes different patterns for average Nusselt number curve in a range time and causes a reduction of the rate of heat transfer. Also, the presence of a flexible fin mounted on the hot wall especially affects the average Nusselt number in the areas above the fin location and induces oscillating heat transfer patterns.

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