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

Jens Jäschke, Matthias Ehrhardt (), Michael Günther and Birgit Jacob
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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

Mathematics, 2022, vol. 10, issue 24, 1-15

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.

Keywords: port-Hamiltonian system; conjugate heat transfer; coupled system; thermodynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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