Thermal Science 2014 Volume 18, Issue 2, Pages: 349-356
https://doi.org/10.2298/TSCI120804005L
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Constructal design of isothermal X-shaped cavities
Lorenzini G. (Dipartimento di Ingegneria Industriale, Università degli Sudi di Parma, Parma, Italy)
Biserni C. (Dipartimento di Ingegneria Industriale, Università degli Studi di Bologna, Bologna, Italy)
Link F.B. (Department of Mechanical Engineering, Federal University of Rio Grande do Sul, Porto Alegre, Brazil)
Santos Dos E.D. (School of Engineering, Federal University of Rio Grande, Rio Grande, Brazil)
Isoldi L.A. (School of Engineering, Federal University of Rio Grande, Rio Grande, Brazil)
Rocha L.A.O. (Department of Mechanical Engineering, Federal University of Rio Grande do Sul, Porto Alegre, Brazil)
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