Irreversible port-Hamiltonian modelling of 3D compressible fluids

Authors

Luis A. Mora, Yann Le Gorrec, Denis Matignon, Hector Ramirez

Abstract

Boundary controlled irreversible port-Hamiltonian systems (BC-IPHS) defined on 1, 2 and 3-dimensional spatial domains are defined by extending the formulation of reversible BC-PHS to irreversible thermodynamic systems controlled at the boundaries of their spatial domain. The structure of BC-IPHS has a clear physical interpretation, characterizing the coupling between energy storing and energy dissipating elements. By extending the definition of boundary port variables of BC-PHS to deal with the irreversible energy dissipation, a set of boundary port variables is defined so that BC-IPHS are passive with respect to a given set of conjugated inputs and outputs. As for finite-dimensional IPHS and 1-D infinite-dimensional IPHS recently defined in [Ramirez et al., Chem. Eng. Sci. (2022)], the first and second laws of Thermodynamics are satisfied as a structural property of the system. As a common thread, the 3D compressible fluid example is worked out to illustrate the proposed approach: both the reversible case of the isentropic fluid and the irreversible case of the non-isentropic fluid are presented.

Keywords

Boundary control systems; infinite-dimensional port-Hamiltonian systems; asymptotic stability; non-linear control; irreversible thermodynamics

Citation

• Journal: IFAC-PapersOnLine
• Year: 2023
• Volume: 56
• Issue: 2
• Pages: 6394–6399
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2023.10.836
• Note: 22nd IFAC World Congress- Yokohama, Japan, July 9-14, 2023

BibTeX

@article{Mora_2023,
  title={{Irreversible port-Hamiltonian modelling of 3D compressible fluids}},
  volume={56},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2023.10.836},
  number={2},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Mora, Luis A. and Gorrec, Yann Le and Matignon, Denis and Ramirez, Hector},
  year={2023},
  pages={6394--6399}
}

Download the bib file

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