THERMAL SCIENCE

International Scientific Journal

Giulio Lorenzini

,

C. Biserni

,

F. B. Link

,

E. D. Dos Santos

,

L. A. Isoldi

,

L. A. O. Rocha

CONSTRUCTAL DESIGN OF ISOTHERMAL X-SHAPED CAVITIES

ABSTRACT
This paper applies Constructal design to study the geometry of a X-shaped cavity that penetrates into a solid conducting wall. The objective is to minimize the maximal dimensionless excess of temperature between the solid body and the cavity. There is uniform heat generation on the solid body. The total volume and the cavity volume are fixed, but the geometric lengths and thickness of the X-shaped cavity can vary. The cavity surfaces are isothermal while the solid body has adiabatic conditions on the outer surface. The emerged optimal configurations and performance are reported graphically. When compared to the Y- and C- and H-, the X-shaped cavity performs approximately 53% better than the Y-shaped cavity and 68% better than the C-shaped cavity for the area fraction ϕ = 0.05, while its performance is 22% inferior to the performance of the H-shaped cavity for the area fraction ϕ = 0.1. The results indicate that the increase of the complexity of the cavity geometry can facilitate the access of heat currents and improve the performance of the cavities.
KEYWORDS
constructal design, enhanced heat transfer, cavities
PAPER SUBMITTED: 2012-08-04
PAPER REVISED: 2012-11-24
PAPER ACCEPTED: 2012-12-18
PUBLISHED ONLINE: 2013-01-20
DOI REFERENCE: https://doi.org/10.2298/TSCI120804005L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Issue 2, PAGES [349 - 356]
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Constructal design of isothermal X-shaped cavities

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence