Inverse calculation of local heat transfer coefficient on generic surfaces in OpenFOAM
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Date
2025-08-16
Authors
Boháček, Jan
Hnízdil, Milan
Hvožďa, Jiří
Ferro, Lorenzo
Karimi-Sibaki, Ebrahim
Vakhrushev, Alexander
0000-0003-3319-4254Advisor
Referee
Mark
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Publisher
Elsevier
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Abstract
The inverse heat conduction problem (IHCP) is a classic example from the large family of inverse problems, in which a thermal boundary condition is reconstructed on a surface of a body. When the normal fluxes dominate the heat transfer and the tangential fluxes are small, the problem can be simplified into one dimensional. Often, the opposite is true and a multidimensional problem needs to be solved. This paper presents a universal IHCP solver implemented in the open-source code OpenFOAM, whose main advantages are polyhedral meshes, variety of linear solvers, parallel calculations, being an open-source. The solver is robust, efficient and accurate. The quality of the solver is demonstrated on three examples: (i) jet cooling in the pressure die casting, spray cooling of (ii) a rail and (iii) a tube. Valuable data from experiments were used as an input in all three examples. Additionally, this paper introduces, for the first time, a novel semi-analytical formula for determining the optimal number of future timesteps required to solve the sequential IHCP.
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Citation
INTERNATIONAL JOURNAL OF THERMAL SCIENCES. 2025, vol. 219, issue 110208, p. 1-13.
https://www.sciencedirect.com/science/article/pii/S1290072925005319
https://www.sciencedirect.com/science/article/pii/S1290072925005319
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Peer-reviewed
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en
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
http://creativecommons.org/licenses/by-nc-nd/4.0/