A MATHEMATICAL STUDY ON NON-LINEAR TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY

被引：0

作者：

Ananthaswamy, Vembu ^{[1
]}

Sivasankari, Sathyamoorthy ^{[1
]}

机构：

[1] Madurai Kamaraj Univ, Madura Coll, Res Ctr & PG, Dept Math, Madurai, Tamil Nadu, India

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2024年 / 23卷 / 02期

关键词：

Ananthaswamy-Sivasankari method (ASM); fin efficiency; internal heat genera- tion; longitudinal convective fin; temperature-dependent thermal conductivity; CONVECTIVE STRAIGHT FINS; HOMOTOPY ANALYSIS METHOD; HEAT-GENERATION; POROUS FINS; EFFICIENCY; PERFORMANCE;

D O I：

10.17512/jamcm.2024.2.01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The two main cases of convective fins with temperature-dependent thermal conductivity and heat generation are studied using the Ananthaswamy-Sivasankari method (ASM) approximately. The semi-analytical expressions for the temperature distribution in two cases are given in their clearest and most simple form. The obtained results are then compared with the numerical results, which show significant agreement. The dimensionless fin efficiency is also evaluated. The impacts of the numerous parameters involved in the problem are displayed graphically. With this approach, convergence can be attained more quickly. The application of this method to higher-order problems with boundary values in the applied sciences is possible.

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页码：5 / 18

页数：14

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