# Parametric analysis and optimization of convective fin with variable thermal conductivity using semi-analytical solution

Parametric analysis and optimization of convective fin with variable thermal conductivity using semi-analytical solution

Automotive Research Center, Department of Automotive Engineering, School of Mechanical Engineering, VIT University, Vellore 632014, India

Corresponding Author Email:
Page:
677-686
|
DOI:
https://doi.org/10.18280/ijht.360233
6 October 2017
|
Accepted:
27 March 2018
|
Published:
30 June 2018
| Citation

OPEN ACCESS

Abstract:

Due to the temperature dependent properties, evaluation of heat transfer performance parameters of a polymer composite material through experimentation is difficult as it needs sophisticated measurement techniques. In this article, to meet the current requirements, a simple semi-analytical method is proposed to investigate the performance of convective straight fins with temperature dependent thermal conductivity. The Adomian Decomposition Method (ADM) was adopted to solve the non-linear energy equation and Newton-Raphson method was used for optimization of the fin problem. After the analysis, the effect of convective-geometric fin parameter and thermal conductivity parameter is introduced in this problem to interpret the physical significance of such parameters. A parametric analysis was carried out to depict the dependency of heat transfer phenomena on various parameters. The informative plot on the gradient field of the fin efficiency negotiates the direction of maximum performance.

Keywords:

heat transfer performance, temperature dependent thermal conductivity, straight fins, ADM, optimization and parametric analysis

1. Introduction
2. Mathematical Model and Assumptions
3. Decomposition Method for Nonlinear Equation
4. Parametric Temperature Distribution
5. Performance Analysis and Optimization
6. Results and Discussion
7. Conclusion
Nomenclature
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