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.

引用

页码：5 / 18

页数：14

共 50 条

[1] Numerical Study of a Non-Linear Porous Sublimation Problem With Temperature-Dependent Thermal Conductivity and Concentration-Dependent Mass Diffusivity
Chaurasiya, Vikas
Jain, Ankur
Singh, Jitendra
[J]. ASME JOURNAL OF HEAT AND MASS TRANSFER, 2023, 145 (07):
[2] A hybrid numerical method for non-linear transient heat conduction problems with temperature-dependent thermal conductivity
Sun, Wenxiang
Ma, Haodong
Qu, Wenzhen
[J]. APPLIED MATHEMATICS LETTERS, 2024, 148
[3] A series solution of the non-linear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient
Kim, Sin
Huang, Cheng-Hung
[J]. JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2007, 40 (09) : 2979 - 2987
[4] An unconstrained mathematical description for conduction heat transfer problems with linear temperature-dependent thermal conductivity
Martins-Costa, Maria Laura
de Freitas Rachid, Felipe Bastos
Saldanha da Gama, Rogerio M.
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2016, 81 : 310 - 315
[5] TEMPERATURE-DEPENDENT NON-LINEAR NEUTRON-TRANSPORT PROBLEM
BUSONI, G
FROSALI, G
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 72 (02) : 703 - 715
[6] NON-LINEAR MODELS AND TEMPERATURE-DEPENDENT DEVELOPMENT IN ARTHROPODS - A REPLY
HILBERT, DW
LOGAN, JA
[J]. ENVIRONMENTAL ENTOMOLOGY, 1983, 12 (04) : R5 - R5
[7] EXACT SOLUTION OF FIN PROBLEM WITH LINEAR TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY
Kader, A. H. Abdel
Latif, M. S. Abdel
Nour, H. M.
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2016, 15 (04) : 51 - 61
[8] The Variational Form of the Mathematical Model of a Thermal Explosion in a Solid Body with Temperature-Dependent Thermal Conductivity
Zarubin, V. S.
Kuvyrkin, G. N.
Savel'eva, I. Yu.
[J]. HIGH TEMPERATURE, 2018, 56 (02) : 223 - 228
[9] The Variational Form of the Mathematical Model of a Thermal Explosion in a Solid Body with Temperature-Dependent Thermal Conductivity
V. S. Zarubin
G. N. Kuvyrkin
I. Yu. Savel’eva
[J]. High Temperature, 2018, 56 : 223 - 228
[10] TEMPERATURE-DEPENDENT NON-LINEAR SCREENING OF A PROTON IN AN ELECTRON-GAS
PERROT, F
[J]. PHYSICAL REVIEW A, 1982, 25 (01): : 489 - 495

← 1 2 3 4 5 →