Port-Hamiltonian formulations of the elastic foam-bed reactor model

Authors

Xiaoyu Cheng, Bernhard Maschke, Christian Jallut

Abstract

In this paper, we develop a port-Hamiltonian formulation for the elastic foam-bed reactor. We begin by deriving the mass and momentum balance equations for the gas, liquid and solid phases. Based on these equations, we construct a dissipative Hamiltonian representation and the corresponding port-Hamiltonian formulation to capture the system’s energy-conserving and dissipative dynamics. The framework is further extended to incorporate a time-dependent moving boundary induced by a piston, resulting in a port-Hamiltonian system defined on a dynamic spatial domain.

Keywords

dissipative hamiltonian systems, elastic foam-bed reactor, moving interface problem, multiphase flow model, port-hamiltonian systems

Citation

• Journal: IFAC-PapersOnLine
• Year: 2025
• Volume: 59
• Issue: 28
• Pages: 13–18
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2025.12.169
• Note: 5th IFAC Workshop on Thermodynamics Foundations of Mathematical Systems Theory TFMST 2025- Hangzhou, China, September 22, 2025

BibTeX

@article{Cheng_2025,
  title={{Port-Hamiltonian formulations of the elastic foam-bed reactor model}},
  volume={59},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2025.12.169},
  number={28},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Cheng, Xiaoyu and Maschke, Bernhard and Jallut, Christian},
  year={2025},
  pages={13--18}
}

Download the bib file

References

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