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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v43.i5-6.50
pages 418-440

Constructal Design of Rectangular Fin Intruded into Different Surfaces of Forced Convective Lid-Driven Cavity Flow

E. S. Aldrighi
School of Engineering, Federal University of Rio Grande Rio Grande, Brazil, Italia Avenue, km 8, 96.201-900
P. M. Rodrigues
School of Engineering, Federal University of Rio Grande Rio Grande, Brazil, Italia Avenue, km 8, 96.201-900
B. D. do A. Rodriguez
Institute of Mathematics, Physics and Statistics, Federal University of Rio Grande Rio Grande, Brazil, Italia Avenue, km 8, 96.201-900
L. A. Isoldi
Universidade Federal do Rio Grande (FURG), Escola de Engenharia (EE), Programa de Pos-Graduacao em Engenharia Oceanica (PPGEO), Rio Grande, Rio Grande do Sul, Brazil
Luiz Alberto O. Rocha
Programa de Pos-Graduacao em Engenharia Mecanica, Universidade Federal do Rio Grande do Sul Porto Alegre, Brazil, Rua Sarmento Leite, 425, 90.050-170
E. D. dos Santos
Universidade Federal do Rio Grande (FURG), Escola de Engenharia (EE), Programa de Pos-Graduacao em Engenharia Oceanica (PPGEO), Rio Grande, Rio Grande do Sul, Brazil

RÉSUMÉ

The present work shows a numerical study about laminar, steady and forced convective lid-driven square cavity flow with rectangular fin inserted on different cavity surfaces. The main purpose is to maximize the heat transfer between fin and cavity flow and evaluate geometry influence by means of Constructal Design. The problem is subject to two constraints: lid-driven cavity and intruded fin areas. The ratio between the fin and cavity areas is kept fixed (ø = 0.05). The investigated geometry has two degrees of freedom (DOFs), the aspect ratio of the cavity, which is H/L = 1, and the fin aspect ratio (H1 /L1) which is swept in the range 0.1 ≤ H1/L1 ≤ 10. The effect of the fin geometry over the spatial-averaged Nusselt number NuH is investigated for several Reynolds numbers: ReH = 10, 50, 100, 200, 500 and 1000. For all simulations the Prantdl number is fixed (Pr = 0.71). The fin is intruded in the middle point of three different surfaces of lid-driven cavity (upstream, downstream or lower). The conservation equations of mass, momentum and energy are numerically solved with the Finite Volume Method. As expected, fin geometry had strong influence over NuH for all evaluated ReH. The highest NuH was obtained for fins intruded in the downstream surface for 50 ≤ ReH ≤ 500, while for ReH = 1000, the intrusion of the fin in the upstream surface led to the highest thermal performance, i. e., the best shape and placement of the fin depends on the magnitude of ReH.