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

Autor:	Jens Jäschke, Matthias Ehrhardt, Michael Günther, Birgit Jacob
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	port-Hamiltonian system conjugate heat transfer coupled system thermodynamics Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 24, p 4635 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10244635
Popis:	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.
Databáze:	Directory of Open Access Journals
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