# Title

A STUDY ON TEMPERATURE-DISTRIBUTION AND FIN
EFFICIENCY OF CONVECTIVE STRAIGHT FINS WITH
TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY
OF FRACTIONAL ORDER ENERGY BALANCE EQUATION
TRANSFORM METHOD

# Authors

Trushit Patel, Ramakanta Meher
Applied Mathematics and Humanities Department
S.V. National Institute of Technology
Surat, 395007, INDIA

# Abstract

In this study, an attempt has been made to fractionalize the governing energy balance equation and Adomian decomposition Sumudu transform method (ADSTM) is used to solve the nonlinear fractional order energy balance equation to find the temperature distribution and to check the efficiency of convective straight fin with temperature dependent thermal conductivity. The thermal conductivity of the fin material is assumed as a linear function of temperature to find the temperature distribution for different values of thermal conductivity and thermo-geometric fin parameters for fractional as well as for integer order energy balance equation. Finally, the obtained ADSTM results has been compared with Variational Iteration Method (VIM) (Coskun et al., 2008) and Numerical method to check the accuracy of the purposed method.

# History

Revised: September 16, 2016
Published: November 5, 2016

# AMS Classification, Key Words

AMS Subject Classification: 34A08, 34B15, 49K15, 45J05
Key Words and Phrases: Adomian Decomposition Sumudu Transform Method, Fractional Order Energy Balance Equation, Convective straight fins, Thermal conductivity, Temperature distribution, Fin efficiency

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# How to Cite?

DOI: 10.12732/ijpam.v110i2.6 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 110
Issue: 2
Pages: 311 - 326