Modelling of transport phenomena in open-cell foams using graphs.

Modelling of transport phenomena in open-cell foams using graphs.
Duration : 12 Months (possible extension)
Location : Control and Process Engineering Laboratory (LAGEP, UMR CNRS 5007) Lyon
(France) in the DYCOP research team
Opening of the position: January 2019
Funding : ANR-DFG project INFIDHEM.
Employer : University of Claude Bernard, Lyon 1. (https://www.univ-lyon1.fr)
Project leader: Bernhard Maschke
Scientific advisors : Isabelle Pitault, Marie-Line Zanota.
Contact persons : isabelle.pitault@univ-lyon1.fr / +33 4 72 43 13 73
Keywords : Modelling, conduction, convection, graph, open-cell foam.

Description of the Research Project:
Context:
This post-doctoral project is funded by the International Collaborative Research Project ANR-DFG
INFIDHEM (https://websites.isae-supaero.fr/infidhem). This project focuses on networks of heterogeneous
systems, as for instance in smart foams for acoustics, or coupled mass and heat transport phenomena in
catalytic foams. Their mathematical description consists in systems of PDEs defined on graphs or more
general k-complexes, to computational tools to obtain a reduced model defined on a clustered graphs or kcomplexes
with desired physical properties. The objective of the project is to develop tools for their analysis,
model reduction, simulation and control, combining classical tools for infinite-dimensional systems and the
theory of interconnected port-Hamiltonian (PH) systems.
The subject of the post-doctoral project consists in modelling the transport phenomena in open-cell foams
commonly used in diverse industrial applications e.g. heat exchangers or structured catalytic reactors based
on graphs associated with the solid and the fluid phases.
The derivation of these graphs has been the subject of a previous project in collaboration with the Laboratory
of Catalytic Chemical Engineering (LGPC, Villeurbanne, France) and has been performed for about forty
foams, using X ray-tomography and image analysis. The objectives of the project are to use these data to
derive a structured dynamical model and implement a simulation model based on discrete balance equations
associated with the graphs, derive reduced order models and perform comparison with some dynamic
measurements first for heat transfer alone and then with convection in the fluid phase.

Assignment:
The working assignment encompasses three parts.
As a preliminary task, some specific samples of open cell foams shall be selected from their geometrical,
topological data (graph) based on the data from resulting from their image analysis.
The second task consists, in collaboration with the partners of the project at the Technical University of
Munich, to implement the dynamical model expressed as a system of discrete balance equations using the
topological and physical properties of the sample foams.
The third task consists in performing numerical simulations and confront the results with existing or still to
be completed experimental results. For this purpose, the parametric identification of local and global
parameters of the foam such as the effective conductivity and effective porosity will be carried out.
This assignment shall be realized in close collaboration with the DYCOP research team of the LAGEP, with
the LGPC laboratory and the chair on Automatic Control of the Technical University in Munich.

Required Profile: PhD in Chemical Engineering or Thermal Engineering. Experience in programming on
Matlab and/or Python, fluent knowledge of the English language and good skills for the scientific writing are
highly appreciated. Interest and ability to work in multidisciplinary teams and collaborative research is also
highly appreciated.
Monthly gross wage : between 2300 and 2900 € (depending on the experience)

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