Steady one-dimensional heat flow in a longitudinal triangular and parabolic fin

被引：20

作者：

Moitsheki, R. J. ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Computat & Appl Math, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Johannesburg, South Africa

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 10期

基金：

新加坡国家研究基金会;

关键词：

Heat transfer; Longitudinal fin; Nonlinear thermal conductivity and heat transfer coefficient; Exact solutions; RADIAL FIN; DESIGN;

D O I：

10.1016/j.cnsns.2011.01.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a heat transfer problem of a longitudinal fin with triangular and parabolic profiles. Both thermal conductivity and heat transfer coefficient are assumed to be temperature-dependent, and given by power laws. We construct exact solution when the problem is linearizable. In the other case, classical Lie symmetry techniques are employed to analyze the problem. The obtained exact solutions satisfy the realistic boundary conditions. The effects of the physical applicable parameters such as thermo-geometric fin parameter and the fin efficiency are analyzed. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：3971 / 3980

页数：10

共 21 条

[1] Abramowitz M, 1972, HDB MATH FUCTIONS
[2] Analytic solutions for a rotating radial fin of rectangular and various convex parabolic profiles
Aziz, Abdul
Khani, F.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (06) : 1565 - 1574
[3] Bluman G. W., 2013, Symmetries and Differential Equations, V81
[4] Bluman GW., 2002, Symmetry and integration methods for differential equations
[5] Design charts for radial rectangular fins in terms of performance ratio and maximum effectiveness
Heggs, PJ
Ooi, TH
[J]. APPLIED THERMAL ENGINEERING, 2004, 24 (8-9) : 1341 - 1351
[6] Ibragimov NK., 1999, Elementary Lie group analysis and ordinary differential equations
[7] Differential Transformation Method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity
Joneidi, A. A.
Ganji, D. D.
Babaelahi, M.
[J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2009, 36 (07) : 757 - 762
[8] Thermal analysis of a longitudinal trapezoidal fin with temperature-dependent thermal conductivity and heat transfer coefficient
Khani, F.
Aziz, Abdul
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (03) : 590 - 601
[9] Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient
Khani, F.
Raji, M. Ahmadzadeh
Nejad, H. Hamedi
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (08) : 3327 - 3338
[10] A series solution of the fin problem with a temperature-dependent thermal conductivity
Khani, F.
Raji, M. Ahmadzadeh
Hamedi-Nezhad, S.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (07) : 3007 - 3017

← 1 2 3 →