Ecsedi, István and Baksa, Attila (2018) Estimation of heat flow in circular bars of variable diameter. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 13 (1-2). pp. 5-14. ISSN 1586-2070
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Abstract
Upper and lower bounds for the heat flow in nonhomogeneous circular bars of variable diameter are presented. The thermal properties may depend on the axial and radial coordinates, and the boundary conditions of the considered heat conduction problem do not depend on the polar angle. The analysed steady-state heat conduction problem is axisymmetric. Equations of Fourier's theory are used to formulate the thermal boundary value problem of heat conduction in nonhomogeneous circular bars with nonuniform cross-section. The computation of the heat flow is based on the concept of overall heat transfer coefficient. The derivation of bounding formulae for the overall heat transfer coefficient is based on a minimum principle and Schwarz's inequality. Six examples illustrate the applications of the derived upper and lower bound formulae how one can use to estimate the heat flow in a nonhomogeneous circular bar with nonuniform cross section.
| Item Type: | Article |
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| Additional Information: | "A cikkben/előadásban/tanulmányban ismertetett kutató munka az EFOP-3.6.1-16-2016-00011 jelű „Fiatalodó és Megújuló Egyetem – Innovatív Tudásváros – a Miskolci Egyetem intelligens szakosodást szolgáló intézményi fejlesztése” projekt részeként – a Széchenyi 2020 keretében – az Európai Unió támogatásával, az Európai Szociális Alap társfinanszírozásával valósul meg" = “The described article/presentation/study was carried out as part of the EFOP-3.6.1-16-00011 “Younger and Renewing University – Innovative Knowledge City – institutional development of the University of Miskolc aiming at intelligent specialisation” project implemented in the framework of the Szechenyi 2020 program. The realization of this project is supported by the European Union, co-financed by the European Social Fund.” |
| Uncontrolled Keywords: | heat flow, lower and upper bounds, nonhomogeneous, nonuniform circular bar |
| Subjects: | T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 28 Jan 2026 12:21 |
| Last Modified: | 28 Jan 2026 12:21 |
| URI: | https://real.mtak.hu/id/eprint/232808 |
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