Heat and Mass Transfer

, Volume 54, Issue 12, pp 3707–3714 | Cite as

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

  • Jonathan Florez Giraldo
  • Salvatore Cito
  • Anton Vernet
  • Clara Salueña


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.



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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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversitat Rovira i VirgiliTarragonaSpain

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