THERMAL SCIENCE

International Scientific Journal

K C Deshmukh

,

S D Warbhe

,

V S Kulkarni

BRIEF NOTE ON HEAT FLOW WITH ARBITRARY HEATING RATES IN A HOLLOW CYLINDER

ABSTRACT
In this paper the temperature distribution is determined through a hollow cylinder under an arbitrary time dependent heat flux at the outer surface and zero heat flux at the internal boundary due to internal heat generation within it. To develop the analysis of the temperature field, we introduce the method of integral transform. The results are obtained in a series form in-terms of Bessel’s functions.
KEYWORDS
heat conduction problem, homogeneous heat conduction problem, nonhomogeneous problem, heat generation
PAPER SUBMITTED: 2010-08-17
PAPER REVISED: 2010-08-18
PAPER ACCEPTED: 2010-08-20
DOI REFERENCE: https://doi.org/10.2298/TSCI100817063D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE No. 1, PAGES [275 - 280]
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Brief note on heat flow with arbitrary heating rates in a hollow cylinder

© 2026 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