THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Devendra Kumar

,

Jagdev Singh

,

Dumitru Baleanu

A NEW FRACTIONAL MODEL FOR CONVECTIVE STRAIGHT FINS WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY

ABSTRACT
The key aim of this work is to present a new non-integer model for convective straight fins with temperature-dependent thermal conductivity associated with Caputo-Fabrizio fractional derivative. The fractional energy balance equation is solved by using homotopy perturbation method coupled with Laplace transform method. The efficiency of straight fin has been derived in terms of thermo-geometric fin parameter. The numerical results derived by the application of suggested scheme are demonstrated graphically. The subsequent correlation equations are very helpful for thermal design scientists and engineers to design straight fins having temperature-dependent thermal conductivity.
KEYWORDS
fractional energy balance equation, thermal conductivity, straight fins, Caputo-Fabrizio fractional derivative, homotopy perturbation method
PAPER SUBMITTED: 2017-01-29
PAPER REVISED: 2017-03-11
PAPER ACCEPTED: 2017-03-24
PUBLISHED ONLINE: 2017-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI170129096K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Issue 6, PAGES [2791 - 2802]
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A new fractional model for convective straight fins with temperature-dependent 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