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

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 micr...

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Bibliographic Details
Published in:Heat and mass transfer 2018-12, Vol.54 (12), p.3707-3714
Main Authors: Giraldo, Jonathan Florez, Cito, Salvatore, Vernet, Anton, Salueña, Clara
Format: Article
Language:English
Subjects:
Computer simulation
Engineering
Engineering Thermodynamics
Heat and Mass Transfer
Industrial Chemistry/Chemical Engineering
Mass transfer
Mathematical models
Multiscale analysis
Numerical methods
Original
Scaling
Thermodynamics
Three dimensional models
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Summary: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 10 6 , 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.
ISSN:0947-7411
1432-1181
DOI:10.1007/s00231-018-2395-2