THERMAL SCIENCE

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İshak Gökhan Aksoy

APPLICATION OF DIFFERENTIAL TRANSFORMATION METHOD FOR AN ANNULAR FIN WITH VARIABLE THERMAL CONDUCTIVITY

ABSTRACT
The thermal analysis of the annular fin is performed by applying the differential transformation method. The thermal conductivity of the annular fin has been considered as a function of temperature. The effects of non-dimensional parameters, namely thermal conductivity and thermo-geometric fin parameters on the fin efficiency and temperature distribution are determined. Obtained results from the differential transformation method are also compared with the exact analytical results and the results of the finite difference method in the constant thermal conductivity condition. It has been concluded that the differential transformation method provides accurate results in the solution of non-linear problems.
KEYWORDS
annular fin, variable thermal conductivity, the differential transformation method
PAPER SUBMITTED: 2021-06-08
PAPER REVISED: 2021-09-04
PAPER ACCEPTED: 2021-10-06
PUBLISHED ONLINE: 2021-11-06
DOI REFERENCE: https://doi.org/10.2298/TSCI210608315A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2301 - 2310]
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Application of differential transformation method for an annular fin with variable thermal conductivity

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence