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A level-set model for mass transfer in bubbly flows

Lookup NU author(s): Dr Néstor Balcázar ArciniegaORCiD

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Abstract

A level-set model is presented for simulating mass transfer or heat transfer in two-phase flows. TheNavier-Stokes equations and mass transfer (or heat transfer) equation are discretized using a finite vol-ume method on a collocated unstructured mesh, whereas a multiple marker level-set approach is usedfor interface capturing in bubble swarms. This method avoids the numerical coalescence of the fluid par-ticles, whereas the mass conservation issue inherent to standard level-set methods is circumvented.Furthermore, unstructured flux-limiter schemes are used to discretize the convective term of momentumtransport equation, level-set equations, and chemical species concentration equation, to avoid numericaloscillations around discontinuities, and to minimize the numerical diffusion. A convection-diffusion-reaction equation is used as a mathematical model for the chemical species mass transfer at the contin-uous phase. Because the mathematical analogy between dilute mass transfer and heat transfer, the samenumerical model is applicable to solve both phenomena. The capabilities of this model are proved for thediffusion of chemical species from a sphere, external mass transfer in the buoyancy-driven motion of sin-gle bubbles and bubble swarms. Results are extensively validated by comparison with analytical solu-tions and empirical correlations from the literature.


Publication metadata

Author(s): Balcázar N, Antepara O, Rigola J, Oliva A

Publication type: Article

Publication status: Published

Journal: International Journal of Heat and Mass Transfer

Year: 2019

Volume: 138

Pages: 335-356

Print publication date: 01/08/2019

Online publication date: 16/04/2019

Acceptance date: 02/04/2019

ISSN (print): 0017-9310

ISSN (electronic): 1879-2189

Publisher: Elsevier

URL: https://doi.org/10.1016/j.ijheatmasstransfer.2019.04.008

DOI: 10.1016/j.ijheatmasstransfer.2019.04.008


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