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Numerical Investigation of Transport Processes in Porous Media Under Laminar, Transitional and Turbulent Flow Conditions with the Lattice-Boltzmann Method

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Computational Science – ICCS 2021 (ICCS 2021)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12747))

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Abstract

In the present paper the mass transfer in porous media under laminar, transitional and turbulent flow conditions was investigated using the lattice-Boltzmann method (LBM). While previous studies have applied the LBM to species transport in complex geometries under laminar conditions, the main objective of this study was to demonstrate its applicability to turbulent internal flows including the transport of a scalar quantity. Thus, besides the resolved scalar transport, an additional turbulent diffusion coefficient was introduced to account for the subgrid-scale turbulent transport. A packed-bed of spheres and an adsorber geometry based on \(\mu \)CT scans were considered. While a two-relaxation time (TRT) model was applied to the laminar and transitional cases, the Bhatnagar-Gross-Krook (BGK) collision operator in conjunction with the Smagorinsky turbulence model was used for the turbulent flow regime. To validate the LBM results, simulations under the same conditions were carried out with ANSYS Fluent v19.2. It was found that the pressure drop over the height of the packed-bed were in close accordance to empirical correlations. Furthermore, the comparison of the calculated species concentrations for all flow regimes showed good agreement between the LBM and the results obtained with Ansys Fluent. Subsequently, the proposed extension of the Smagorinsky turbulence model seems to be able to predict the scalar transport under turbulent conditions.

We sincerely thank Markus Pieber for the PBG simulation and his assistance with the Fluent finite-volume simulations as well as Dr. Bernd Oberdorfer from Österreichisches Gießerei-Institut (ÖGI), Leoben (Austria), for the generation of the raw \(\mu \)CT scans. This work was financially supported by the Austrian Research Promotion Agency (FFG), ’Simulation der Wärmetransportvorgänge in Hochtemperaturprozessen und porösen Medien mittels lattice-Boltzmann Methode’ (project 872619, eCall 22609361).

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Authors and Affiliations

  1. Institute of Thermal Engineering, Graz University of Technology, Inffeldgasse 25/B, 8010, Graz, Austria

    Tobit Flatscher, René Prieler & Christoph Hochenauer

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  1. Tobit Flatscher
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  2. René Prieler
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  3. Christoph Hochenauer
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Correspondence to René Prieler .

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Editors and Affiliations

  1. AGH University of Science and Technology, Krakow, Poland

    Maciej Paszynski

  2. Ludwig-Maximilians-Universität München, Munich, Germany

    Dieter Kranzlmüller

  3. University of Amsterdam, Amsterdam, The Netherlands

    Valeria V. Krzhizhanovskaya

  4. University of Tennessee at Knoxville, Knoxville, TN, USA

    Jack J. Dongarra

  5. University of Amsterdam, Amsterdam, The Netherlands

    Peter M. A. Sloot

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Flatscher, T., Prieler, R., Hochenauer, C. (2021). Numerical Investigation of Transport Processes in Porous Media Under Laminar, Transitional and Turbulent Flow Conditions with the Lattice-Boltzmann Method. In: Paszynski, M., Kranzlmüller, D., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M.A. (eds) Computational Science – ICCS 2021. ICCS 2021. Lecture Notes in Computer Science(), vol 12747. Springer, Cham. https://doi.org/10.1007/978-3-030-77980-1_19

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  • DOI: https://doi.org/10.1007/978-3-030-77980-1_19

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