Publication result detail

Inverse calculation of local heat transfer coefficient on generic surfaces in OpenFOAM

BOHÁČEK, J.; HNÍZDIL, M.; HVOŽĎA, J.; FERRO, L.; KARIMI-SIBAKI, E.; VAKHRUSHEV, A.

Original Title

Inverse calculation of local heat transfer coefficient on generic surfaces in OpenFOAM

English Title

Inverse calculation of local heat transfer coefficient on generic surfaces in OpenFOAM

Type

WoS Article

Original 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.

English 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.

Keywords

Inverse heat conduction problem; die casting; Jet cooler; Spray cooling; Rail; Tube; Future timesteps

Key words in English

Inverse heat conduction problem; die casting; Jet cooler; Spray cooling; Rail; Tube; Future timesteps

Authors

BOHÁČEK, J.; HNÍZDIL, M.; HVOŽĎA, J.; FERRO, L.; KARIMI-SIBAKI, E.; VAKHRUSHEV, A.

Released

16.08.2025

Publisher

Elsevier

ISBN

1778-4166

Periodical

INTERNATIONAL JOURNAL OF THERMAL SCIENCES

Volume

219

Number

110208

State

French Republic

Pages from

1

Pages to

13

Pages count

13

URL

Full text in the Digital Library

BibTex

@article{BUT198536,
  author="Jan {Boháček} and Milan {Hnízdil} and Jiří {Hvožďa} and Lorenzo {Ferro} and Ebrahim {Karimi-Sibaki} and Alexander {Vakhrushev}",
  title="Inverse calculation of local heat transfer coefficient on generic surfaces in OpenFOAM",
  journal="INTERNATIONAL JOURNAL OF THERMAL SCIENCES",
  year="2025",
  volume="219",
  number="110208",
  pages="1--13",
  doi="10.1016/j.ijthermalsci.2025.110208",
  issn="1290-0729",
  url="https://www.sciencedirect.com/science/article/pii/S1290072925005319"
}

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