Exact closed form solutions to nonlinear model of heat transfer in a straight fin

被引：14

作者：

Abbasbandy, Saeid ^{[1
]}

Shivanian, Elyas ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Qazvin 34149, Iran

来源：

INTERNATIONAL JOURNAL OF THERMAL SCIENCES | 2017年 / 116卷

关键词：

Exact analytical solutions; Unique solution; Dual solutions; Nonlinear fin equation; Heat transfer; Thermal conductivity; DEPENDENT THERMAL-CONDUCTIVITY; HOMOTOPY-PERTURBATION METHOD; UNSTEADY NANOFLUID FLOW; MAGNETIC-FIELD; RADIAL FIN; EXISTENCE; EQUATIONS; MOTION; FLUX;

D O I：

10.1016/j.ijthermalsci.2017.01.028

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This article is concerned with the exact closed form solutions for heat transfer in a straight fin when the thermal conductivity and heat transfer coefficients are temperature dependent so that conduction and heat transfer terms have the form of strong nonlinearity given by power laws. It is assumed the shape for a straight fin with a rectangular profile is linear dependent with respect to fin thickness. A full discussion and exact analytical solution in the implicit form is given for further physical interpretation and it is proved that three possible cases may occur: there is no solution to the problem, the solution is unique and the solutions are dual depending on the values of the parameters of the model. (C) 2017 Elsevier Masson SAS. All rights reserved.

引用

页码：45 / 51

页数：7

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