A Two-Dimensional port-Hamiltonian Model for Coupled Heat Transfer

Authors

Jens Jäschke, Matthias Ehrhardt, Michael Günther, Birgit Jacob

Abstract

In this paper, we construct a highly simplified mathematical model for studying the problem of conjugate heat transfer in gas turbine blades and their cooling ducts. Our simple model focuses on the relevant coupling structures and aims to reduce the unrelated complexity as much as possible. Then, we apply the port-Hamiltonian formalism to this model and its subsystems and investigate the interconnections. Finally, we apply a simple spatial discretization to the system to investigate the properties of the resulting finite-dimensional port-Hamiltonian system and to determine whether the order of coupling and discretization affect the resulting semi-discrete system.

Citation

• Journal: Mathematics
• Year: 2022
• Volume: 10
• Issue: 24
• Pages: 4635
• Publisher: MDPI AG
• DOI: 10.3390/math10244635

BibTeX

@article{J_schke_2022,
  title={{A Two-Dimensional port-Hamiltonian Model for Coupled Heat Transfer}},
  volume={10},
  ISSN={2227-7390},
  DOI={10.3390/math10244635},
  number={24},
  journal={Mathematics},
  publisher={MDPI AG},
  author={Jäschke, Jens and Ehrhardt, Matthias and Günther, Michael and Jacob, Birgit},
  year={2022},
  pages={4635}
}

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References

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