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

Author

Listed:
  • Jens Jäschke

    (Chair of Applied and Computational Mathematics, University of Wuppertal, Gaußstraße 20, 42119 Wuppertal, Germany)

  • Matthias Ehrhardt

    (Chair of Applied and Computational Mathematics, University of Wuppertal, Gaußstraße 20, 42119 Wuppertal, Germany)

  • Michael Günther

    (Chair of Applied and Computational Mathematics, University of Wuppertal, Gaußstraße 20, 42119 Wuppertal, Germany)

  • Birgit Jacob

    (Chair of Functional Analysis, University of Wuppertal, Gaußstraße 20, 42119 Wuppertal, Germany)

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.

Suggested Citation

  • Jens Jäschke & Matthias Ehrhardt & Michael Günther & Birgit Jacob, 2022. "A Two-Dimensional port-Hamiltonian Model for Coupled Heat Transfer," Mathematics, MDPI, vol. 10(24), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4635-:d:996418
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