Brief note on heat flow with arbitrary heating rates in a hollow cylinder
Author(s) -
K. C. Deshmukh,
S. D. Warbhe,
Vinayak Kulkarni
Publication year - 2010
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci100817063d
Subject(s) - heat flux , bessel function , cylinder , internal heating , mechanics , heat flow , flux (metallurgy) , flow (mathematics) , series (stratigraphy) , materials science , boundary (topology) , heat generation , thermodynamics , physics , heat transfer , mathematical analysis , mathematics , geometry , thermal , geology , paleontology , metallurgy
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.
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