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传热学

DOI: 10.1615/HeatTransRes.2016006705
pages 401-417

OPTIMIZATION OF HEAT TRANSFER THROUGH ANNULAR FINS WITH A THERMODEPENDENT THERMAL CONDUCTIVITY AND HEAT TRANSFER COEFFICIENT

Youb Khaled Benkahla
Faculté de Génie Mécanique et de Génie des Procédés, Université des Sciences et de la Technologie Houari Boumediene USTHB, B.P. 32, El-Alia Bab-Ezzouar, 16111 Algiers, Algeria

ABSTRACT

A numerical investigation based on the finite volume method is undertaken in order to study heat transfer through an annular fin of different cross sections (rectangular, triangular, hyperbolic, and parabolic). The validation of the computing code is confirmed by comparing the present results with those obtained from analytical and numerical solutions found in the literature. The first part of the study consists of examining the fin's geometrical parameters effect, i.e., the reduced length R and the characteristic parameter mf on its efficiency. The emphasis is put thereafter on the effect of the thermal dependence of the fin's thermal conductivity, then that of the heat transfer coefficient, and, finally, the simultaneous variation of both of them. An optimization of the fin's dimensions in the case of thermodependent properties is then undertaken. When considering only the fin's efficiency in cases of constant and thermodependent properties, it appears that the annular fin of rectangular cross section has a significant efficiency in comparison with the three other geometrical forms but when optimizing the fin's dimensions, the concave parabolic fin seems to be more efficient and, thus, heat transfer is more enhanced.


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