Nonstationary Axisymmetric Temperature Field in a Two-Layer Slab Under Mixed Heating Conditions

With the use of the Laguerre and Hankel integral transforms, the solution of a two-dimensional initial-boundary-value heat conduction problem for a two-layer slab under mixed boundary conditions is constructed: one of the surfaces is heated by a heat flux distributed axisymmetrically in a circle of...

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Bibliographic Details
Published inJournal of engineering physics and thermophysics Vol. 88; no. 5; pp. 1135 - 1144
Main Authors Turchin, I. N., Timar, I., Kolodii, Yu. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.09.2015
Springer
Subjects
Alloys
Analysis
Classical Mechanics
Complex Systems
Engineering
Engineering Thermodynamics
Heat and Mass Transfer
Industrial Chemistry/Chemical Engineering
Laws, regulations and rules
Numerical analysis
Thermodynamics
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Summary:With the use of the Laguerre and Hankel integral transforms, the solution of a two-dimensional initial-boundary-value heat conduction problem for a two-layer slab under mixed boundary conditions is constructed: one of the surfaces is heated by a heat flux distributed axisymmetrically in a circle of radius R and is cooled by the Newton law outside this circle. The solution of the problem is reduced to a sequence of infinite quasi-regular systems of algebraic equations. The results of numerical analysis of the temperature field in the two-layer slab made from an aluminum alloy and ceramicsare presented depending on the relative geometric properties of the components and cooling intensity.
ISSN:1062-0125
1573-871X
DOI:10.1007/s10891-015-1293-4