Publication 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.

English title

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

Type

journal article in Web of Science

Language

en

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 in English

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

Released

16.08.2025

Publisher

Elsevier

ISSN

1778-4166

Volume

219

Number

110208

Pages from–to

1–13

Pages count

13

BIBTEX


@article{BUT198536,
  author="Jan {Boháček} and Petr {Dyntera} 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",
  year="2025",
  volume="219",
  number="110208",
  month="August",
  pages="1--13",
  publisher="Elsevier",
  issn="1778-4166"
}