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

Dariusz Mariusz Perkowski , Piotr Sebestianiuk , Jakub Augustyniak


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.
Author Dariusz Mariusz Perkowski (FME / DMACS)
Dariusz Mariusz Perkowski,,
- Department of Mechanics and Applied Computer Science
, Piotr Sebestianiuk (FME)
Piotr Sebestianiuk,,
- Faculty of Mechanical Engineering
, Jakub Augustyniak (FME / DMACS)
Jakub Augustyniak,,
- Department of Mechanics and Applied Computer Science
Journal seriesThermal Science, ISSN 0354-9836, (N/A 40 pkt)
Issue year2019
ASJC Classification2105 Renewable Energy, Sustainability and the Environment
Internal identifierROC 19-20
Languageen angielski
LicenseJournal (articles only); published final; Other open licence; with publication
Score (nominal)40
Score sourcejournalList
ScoreMinisterial score = 40.0, 18-03-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.805; WoS Impact Factor: 2018 = 1.541 (2) - 2018=1.34 (5)
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