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Up-scaling transport in porous polymer membranes using asymptotic homogenization

Jörn Henning Matthies (Institute of Chemical Process Engineering, University of Stuttgart, Stuttgart, Germany)
Manuel Hopp-Hirschler (Institute of Chemical Process Engineering, University of Stuttgart, Stuttgart, Germany)
Sarah Uebele (Fraunhofer Institute for Interfacial Engineering and Biotechnology, Stuttgart, Germany)
Thomas Schiestel (Fraunhofer Institute for Interfacial Engineering and Biotechnology, Stuttgart, Germany)
Markus Osenberg (Helmholtz Center Berlin for Materials and Energy, Berlin, Germany)
Ingo Manke (Helmholtz Center Berlin for Materials and Energy, Berlin, Germany)
Ulrich Nieken (Institute of Chemical Process Engineering, University of Stuttgart, Stuttgart, Germany)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 4 November 2019

Issue publication date: 15 January 2020

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Abstract

Purpose

Efficient numerical assessment of performance is particularly important in digital material design of porous materials. This study aims to present an up-scaled approach to virtually investigate permeation of fluids through a real porous filter membrane with a heterogeneous micro-structure.

Design/methodology/approach

The method of asymptotic homogenization is applied. The structural parameters of the micro-structure are directly obtained from structural equation modeling image analysis of a commercial filter membrane without fitting procedures. The simulation results are compared to permeation experiments of gaseous nitrogen and liquid water.

Findings

The authors found that variations in the pressure gradients across the membrane, resulting from the heterogeneity of pore structure, need to be considered. Remarkable agreement between simulations and experiments is observed.

Originality/value

Despite some research in the field of filtration, no studies on filter membranes have been published yet, although they represent a large segment of filtration technology.

Keywords

Acknowledgements

This work is partially supported by the German Research Foundation (DFG) for funding Collaborative Research Center 716 “Dynamic Simulation of Systems with Large Numbers of Particles” at the University of Stuttgart. Financial support by a research grant of the Max–Buchner Stiftung is acknowledged.

Citation

Matthies, J.H., Hopp-Hirschler, M., Uebele, S., Schiestel, T., Osenberg, M., Manke, I. and Nieken, U. (2020), "Up-scaling transport in porous polymer membranes using asymptotic homogenization", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 1, pp. 266-289. https://doi.org/10.1108/HFF-04-2019-0326

Publisher

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Emerald Publishing Limited

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