Exact and approximate solutions of convective-radiative fins with temperature-dependent thermal conductivity using integral equation method

被引：17

作者：

Huang, Yong ^{[1
]}

Li, Xian-Fang ^{[2
]}

机构：

[1] Foshan Univ, Sch Math & Big Data, Foshan 528000, Guangdong, Peoples R China

[2] Cent South Univ, Sch Civil Engn, Changsha 410075, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2020年 / 150卷

基金：

中国国家自然科学基金;

关键词：

Convective-radiative fin; Exact solution; Explicit temperature distribution; Temperature-dependent thermal conductivity; Fin efficiency; Nonlinear fin problem; HEAT-TRANSFER; NATURAL-CONVECTION; STRAIGHT FINS; SERIES SOLUTION; NONLINEAR FIN; EFFICIENCY; NANOFLUID; ANNULUS;

D O I：

10.1016/j.ijheatmasstransfer.2019.119303

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The nonlinear thermal performance of convective and radiative longitudinal cooling fins with temperature-dependent thermal conductivity is studied. For linearly temperature-dependent thermal conductivity, the exact temperature distribution is obtained analytically in an implicit integral form. By converting the resulting integral equation to an algebraic equation, a simpler explicit expression of quadratic polynomials for the temperature excess in the whole convective-radiative fins is derived and the numerical results are compared with the exact one and the previous ones. Additionally, analytical expressions for the temperature change at the fin tip and for the fin efficiency are respectively given in terms of the thermal and geometric parameters of extended surfaces. The accuracy of approximate solution is examined. The influences of nonlinearity and hybrid Biot number on the temperature distribution, the fin-tip temperature change, and the fin efficiency are analyzed. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：8

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