In this paper, we rely on the Constructal method to optimize the geometry of a Y-shaped cavity embedded into a solid conducting wall. The structure has four degrees of freedom. The objective is to minimize the global thermal resistance between the solid and the cavity. The optimization procedure has demonstrated that for larger solids, a cavity shaped as T led to a minimization of the global thermal resistance, while the opposite effect is observed for tall solids, where the optimal shapes are reached when the bifurcated branches deeply penetrates the solid in the vertical direction, according to the Constructal principle of “optimal distribution of imperfections”. The three times minimized global thermal resistance of the Y-shaped cavity has been correlated by power laws as a function of its corresponding optimal configurations. Finally, the performance of the Y-shaped intrusion proved to be superior to that of other basic geometries: the optimized global thermal resistances of the Y-shaped cavities obtained for H/L = 1.0, 2.0, and 5.0 were, respectively 66.61%, 55.37%, and 19.05% lower than the optimal T-shaped cavities under the same thermal and geometric conditions. Furthermore, in comparison with the “finger cavity” shaped as C, the Y-shaped cavities increased the thermal performance in 109.12%, 84.45%, 59.32%, and 20.10% for H/L = 0.5, 1.0, 2.0, and 5.0, respectively.
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December 2011
Research Papers
Constructal Design Applied to the Geometric Optimization of Y-shaped Cavities Embedded in a Conducting Medium
G. Lorenzini,
G. Lorenzini
Dipartimento di Ingegneria Industriale, Università degli Studi di Parma
, viale G.P. Usberti no.181/A, 43124 Parma, Italy
,
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C. Biserni,
C. Biserni
Dipartimento di Ingegneria Energetica, Nucleare e del Controllo Ambientale, Alma Mater Studiorum—Università di Bologna
, Viale Risorgimento 2, 40136 Bologna, Italy
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L. A. Isoldi,
L. A. Isoldi
School of Engineering, Universidade Federal do Rio Grande
, Italia Avenue km 8, Rio Grande, RS 96201-900, Brazil
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E. D. dos Santos,
E. D. dos Santos
School of Engineering, Universidade Federal do Rio Grande
, Italia Avenue km 8, Rio Grande, RS 96201-900, Brazil
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L. A. O. Rocha
L. A. O. Rocha
Department of Mechanical Engineering, Universidade Federal do Rio Grande do Sul, Rua Sarmento Leite
, 425, Porto Alegre, RS 90050-170, Brazil
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G. Lorenzini
Dipartimento di Ingegneria Industriale, Università degli Studi di Parma
, viale G.P. Usberti no.181/A, 43124 Parma, Italy
,
C. Biserni
Dipartimento di Ingegneria Energetica, Nucleare e del Controllo Ambientale, Alma Mater Studiorum—Università di Bologna
, Viale Risorgimento 2, 40136 Bologna, Italy
L. A. Isoldi
School of Engineering, Universidade Federal do Rio Grande
, Italia Avenue km 8, Rio Grande, RS 96201-900, Brazil
E. D. dos Santos
School of Engineering, Universidade Federal do Rio Grande
, Italia Avenue km 8, Rio Grande, RS 96201-900, Brazil
L. A. O. Rocha
Department of Mechanical Engineering, Universidade Federal do Rio Grande do Sul, Rua Sarmento Leite
, 425, Porto Alegre, RS 90050-170, Brazil
J. Electron. Packag. Dec 2011, 133(4): 041008 (8 pages)
Published Online: December 9, 2011
Article history
Received:
May 13, 2011
Revised:
August 10, 2011
Online:
December 9, 2011
Published:
December 9, 2011
Citation
Lorenzini, G., Biserni, C., Isoldi, L. A., dos Santos, E. D., and Rocha, L. A. O. (December 9, 2011). "Constructal Design Applied to the Geometric Optimization of Y-shaped Cavities Embedded in a Conducting Medium." ASME. J. Electron. Packag. December 2011; 133(4): 041008. https://doi.org/10.1115/1.4005296
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