Application of Homotopy Analysis Method for Periodic Heat Transfer in Convective Straight Fins with Temperature-Dependent Thermal Conductivity

In this paper, the homotopy analysis method is applied to analyze the heat transfer of the oscillating base temperature processes occurring in a convective rectangular fin with variable thermal conductivity. This method is a powerful and easy-to-use tool for non-linear problems and it provides us wi...

Full description

Saved in:
Bibliographic Details
Published in:Computer modeling in engineering & sciences 2012, Vol.84 (2), p.155-169
Main Authors: Wei-Chung, Tien, Yang, Yue-Tzu, Cha’o-Kuang Chen
Format: Article
Language:English
Subjects:
Computer simulation
Convergence
Fins
Heat conductivity
Heat transfer
Mathematical models
Nonlinearity
Power series
Temperature dependence
Thermal conductivity
Thermal energy
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, the homotopy analysis method is applied to analyze the heat transfer of the oscillating base temperature processes occurring in a convective rectangular fin with variable thermal conductivity. This method is a powerful and easy-to-use tool for non-linear problems and it provides us with a simple way to adjust and control the convergence region of solution series. Without the need of iteration, the obtained solution is in the form of an infinite power series and the results indicated that the series has high accuracy by comparing it with those generated by the complex combination method.
ISSN:1526-1492
1526-1506
DOI:10.3970/cmes.2012.084.155