Temperature distribution of conductive-convective-radiative fins with temperature-dependent thermal conductivity

被引：10
|
作者：
Zhang, Cai-Ning [1 ]
Li, Xian-Fang [2 ]
机构：
[1] Hunan Labour & Human Resources Vocat Coll, Dept Fdn Courses, Changsha 410100, Peoples R China
[2] Cent South Univ, Sch Civil Engn, Changsha 410075, Peoples R China
来源：
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER | 2020年 / 117卷 / 117期
基金：
中国国家自然科学基金;
关键词：
Temperature-dependent thermal conductivity; Conductive-convective-radiative fin; Approximate temperature distribution; HOMOTOPY-PERTURBATION METHOD; VARIATIONAL ITERATION METHOD; HEAT-TRANSFER; STRAIGHT FINS; APPROXIMATE SOLUTION; DECOMPOSITION METHOD; TRANSIENT-RESPONSE; SERIES SOLUTION; NONLINEAR FIN; POROUS FINS;
D O I：
10.1016/j.icheatmasstransfer.2020.104799
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
A one-dimensional convective-radiative fin with temperature-dependent thermal conductivity is studied. The temperature field is determined for a fin in convective and radiative environments but with an insulated tip. A novel method is proposed to find an approximate solution of the temperature field of a conductive-convective-radiative fin. Based on the first-order Taylor's expansion, we transform the nonlinear ordinary differential equation into an algebraic equation. Solving the algebraic equation gives the desired temperature field. The effectiveness of the approximate solution is illustrated by comparing the evaluated results with the previous ones. The influence of convection and radiation heat transfer coefficients on the temperature distribution and the Nusselt number is examined.
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页数：9
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