A port-Hamiltonian formulation of coupled heat transfer. Issue 1 (31st December 2022)

• Record Type: Journal Article
• Authors: Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
• Is Part Of: Mathematical and computer modelling of dynamical systems. Volume 28:Issue 1(2022)
• Page Start: 78
• Page End: 94
• Publication Date: 2022-12-31
• Subjects: Port-Hamiltonian system -- heat transfer -- cooling channel -- coupled systems -- well-posedness; Engineering -- Mathematical models -- Periodicals; Computer simulation -- Periodicals; 515.39
• DOI: 10.1080/13873954.2022.2038637
• Languages: English
• ISSNs: 1387-3954

Abstract

ABSTRACT: Heat transfer and cooling solutions play an important role in the design of gas turbine blades. However, the underlying mathematical coupling structures have not been thoroughly investigated. In this work, the port-Hamiltonian formalism is applied to the conjugate heat transfer problem in gas turbine blades. A mathematical model based on common engineering simplifications is constructed and further simplified to reduce complexity and focus on the coupling structures of interest. The model is then cast as a port-Hamiltonian system and examined for stability and well posedness.