Journal of Computational Applied Mechanics

Geometrical Assessment of Rectangular Fins at Different Surfaces and Positions on Nusselt Number of Lid-Driven Cavities under Laminar Forced Convection

Document Type : Research Paper

Authors

1 Graduate Program in Computational Modeling, Universidade Federal do Rio Grande, Itália Avenue, km 8, 96201-900, Rio Grande, Brazil

2 Department of Engineering and Architecture, University of Parma, Parco Area delle Scienze, 181/A, 43124, Parma, Italy

3 Área do Conhecimento de Ciências Exatas e Engenharias, Universidade de Caxias do Sul, Rua Francisco Getúlio Vargas 1130, 95070-560, Caxias do Sul, Brazil

4 Institute of Hydraulic Research, Universidade Federal do Rio Grande do Sul (IPH-UFRGS), Av. Bento Gonçalves 9500, 91501-970, Porto Alegre, Brazil

5 Institute of Earth Sciences, Complex Fluid Systems Lab, Rua Romao Ramalho 59, 7000-671 Evora, Portugal

6 Mechanical Engineering Graduate Program, Universidade Federal do Rio Grande do Sul – UFRGS, Rua Sarmento Leite 425, 90040-001 Porto Alegre, Brazil

Abstract

This work focused on the geometric assessment by the lens of the Constructal Design of a rectangular fin placed at different surfaces and positions of lid-driven cavities under laminar forced convection. This study aims to maximize the Nusselt number (NuH) from the isothermal fin for Reynolds numbers (ReH) ranging from 10 to 1000 and a fixed Prandtl equal to 0.71. The fin was placed at the lower, upstream, and downstream cavity surfaces in five positions (S* = 0.1; 0.3; 0.5; 0.7; 0.9). The domain presents two constraints: the cavity area and the ratio fin area to cavity area kept constant for all cases (φ = 0.05). The degrees of freedom explored to maximize the Nusselt number were the ratio between the height and length of the fin (H1/L1) and the fin position along each cavity surface. The results indicated that the fin geometry and positions significantly affected the Nusselt number. The highest Nusselt number was achieved for the fin positioned on the downstream cavity surface with H1/L1 = 2.0 and S* = 0.9, improving the Nusselt number by 63.1% and 5.8% compared to the optimal shapes in the lower and upstream cavity surfaces.

Keywords

Main Subjects

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Journal of Computational Applied Mechanics
Volume 55, Issue 4
October 2024
Pages 744-770
  • Receive Date: 05 August 2024
  • Revise Date: 20 August 2024
  • Accept Date: 09 September 2024