THERMAL SCIENCE

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Axisymmetric stationary heat conduction problem for half-space with temperature-dependent properties

ABSTRACT
The study examines problems of heat conduction in a half-space with a thermal conductivity coefficient that is dependent on temperature. A boundary plane is heated locally in a circle zone at a given temperature as a function of radius. A solution is obtained for any function that describes temperature in the heating zone. Two special cases are investigated in detail, namely case 1 with given constant temperature in the circle zone and case 2 with temperature given as a function of radius r. The temperature of the boundary on the exterior of the heating zone is assumed as zero. The Hankel transform method is applied to obtain a solution for the formulated problem. The effect of thermal properties on temperature distributions in the considered body is investigated. The obtained results were compared with FEM model.
KEYWORDS
PAPER SUBMITTED: 2018-12-06
PAPER REVISED: 2019-03-12
PAPER ACCEPTED: 2019-03-20
PUBLISHED ONLINE: 2019-04-07
DOI REFERENCE: https://doi.org/10.2298/TSCI181206109P
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