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Multi-scale hybrid numerical model for the study of mass transfer through a microporous artificial membrane

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Abstract

Quantification of mass transfer processes across micro-porous membranes can give valuable insight in applications of industrial and medical relevance. In this paper, a hybrid lattice Boltzmann-Finite differences (LBM-FD) code with non-uniform grid that simulates the mass transfer on a chip-like micro-device with an embedded micro-porous membrane has been developed. The model is validated showing good agreement with results of the Graetz-Leveque problem, even for Péclet numbers above 106, where conventional numerical methods fail to predict the correct behavior. The errors obtained in our simulations are below 1%. Simulations of the micro-porous membrane model in two and three dimensions show a linear scaling of the average Sherwood number with the number of pores and a value 1/3 of the scaling exponent of the Péclet number.

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Acknowledgements

Support from the Spanish Ministerio de Economía y Competitividad under grants CTQ2013-46799-C2-1-P and DPI2016-75791-C2-1-P is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Universitat Rovira i Virgili, Tarragona, Spain

    Jonathan Florez Giraldo, Salvatore Cito, Anton Vernet & Clara Salueña

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  1. Jonathan Florez Giraldo
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  2. Salvatore Cito
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  3. Anton Vernet
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  4. Clara Salueña
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Correspondence to Jonathan Florez Giraldo.

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Giraldo, J.F., Cito, S., Vernet, A. et al. Multi-scale hybrid numerical model for the study of mass transfer through a microporous artificial membrane. Heat Mass Transfer 54, 3707–3714 (2018). https://doi.org/10.1007/s00231-018-2395-2

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  • DOI: https://doi.org/10.1007/s00231-018-2395-2

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