Direct numerical simulation of mass transfer in bidisperse arrays of spheres

Jiangtao Lu, E.A.J.F. Peters (Corresponding author), Hans Kuipers

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In this study, an efficient ghost cell‐based immersed boundary method is used to perform direct numerical simulations of mass‐transfer processes in bidisperse arrays. Stationary spherical particles, with a size ratio of 1.5, are homogeneously distributed in a periodic domain in the spanwise directions. Simulations are performed over a range of solids volume fractions, volume fraction ratios of small‐to‐large particles, and Reynolds numbers. Through our studies, we find that large particles have a negative influence on the overall mass‐transfer performance; however, the performance of individual particle species is independent on the relative volume fraction ratios. We propose two correlations: (a) a refitted Gunn correlation for a better description of the interfacial transfer performance based on individual particle species; (b) a fractional calculation for a simple estimation of the overall performance in bidisperse systems using characteristics of individual particle species. We also investigate how well the overall mass‐transfer coefficient can be predicted by defining an appropriate equivalent diameter.
Original languageEnglish
Article numbere16786
Number of pages17
JournalAIChE Journal
Issue number1
Publication statusPublished - Jan 2020


This work was supported by the Netherlands Center for Multiscale Catalytic Energy Conversion (MCEC), an NWO Gravitation program funded by the Ministry of Education, Culture and Science of the Government of the Netherlands. This work was carried out on the Dutch national e‐infrastructure with the support of SURF Cooperative.

FundersFunder number
Netherlands Center for Multiscale Catalytic Energy Conversion
SURF Cooperative
Ministerie van Onderwijs, Cultuur en Wetenschap
Nederlandse Organisatie voor Wetenschappelijk Onderzoek


    • bidisperse mixture of spheres
    • fluid–particle systems
    • immersed boundary method
    • mass transfer
    • Sherwood number correlations
    • fluid-particle systems


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