Authors

Tobias M. Scheuermann, Paul Kotyczka, Christian Martens, Haithem Louati, Bernhard Maschke, Marie-Line Zanota, Isabelle Pitault

Abstract

Metallic open cell foams have multiple applications in industry, e.g. as catalyst supports in chemical processes. Their regular or heterogeneous microscopic structure determines the macroscopic thermodynamic and chemical properties. We present an object-oriented python library that generates state space models for simulation and control from the microscopic foam data, which can be imported from the image processing tool iMorph. The foam topology and the 3D geometric data are the basis for discrete modeling of the balance laws using the cell method. While the material structure imposes a primal chain complex to define discrete thermodynamic driving forces, the internal energy balance is evaluated on a second chain complex, which is constructed by topological duality. The heat exchange between the solid and the fluid phase is described based on the available surface data. We illustrate in detail the construction of the dual chain complexes, and we show how the structured discrete model directly maps to the software objects of the python code. As a test case, we present simulation results for a foam with a Kelvin cell structure, and compare them to a surrogate finite element model with homogeneous parameters.

Keywords

Port-Hamiltonian systems; metallic foam; cell method; distributed parameter systems; discrete modeling; geometric discretization; process systems; simulation

Citation

  • Journal: IFAC-PapersOnLine
  • Year: 2020
  • Volume: 53
  • Issue: 2
  • Pages: 7575–7580
  • Publisher: Elsevier BV
  • DOI: 10.1016/j.ifacol.2020.12.1354
  • Note: 21st IFAC World Congress- Berlin, Germany, 11–17 July 2020

BibTeX

@article{Scheuermann_2020,
  title={{An Object-Oriented Library for Heat Transfer Modelling and Simulation in Open Cell Foams}},
  volume={53},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2020.12.1354},
  number={2},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Scheuermann, Tobias M. and Kotyczka, Paul and Martens, Christian and Louati, Haithem and Maschke, Bernhard and Zanota, Marie-Line and Pitault, Isabelle},
  year={2020},
  pages={7575--7580}
}

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References