Lattice Boltzmann study of mass transfer for two-dimensional Bretherton/Taylor bubble train flow

A. Kuzmin*, M. Januszewski, D. Eskin, F. Mostowfi, J. J. Derksen

*Corresponding author for this work

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This work presents a procedure for the determination of the volumetric mass transfer coefficient in the context of lattice Boltzmann simulations for the Bretherton/Taylor bubble train flow for capillary numbers 0.1 <Ca <1.0. We address the case where the hydrodynamic pattern changes from having a vortex in the slug (Ca <0.7) to not having it (Ca > 0.7) [1]. In the latter case the bubble shape is asymmetric and cannot be approximated through flat surfaces and circular circumferences as is often done in the literature [2,3]. When the vortex is present in the slug, the scalar concentration is well mixed and it is common to use periodic boundary conditions and the inlet/outlet-averaged concentration as the characteristic concentration. The latter is not valid for flows where the tracer is not well mixed, i.e. Ca > 0.7. We therefore examine various boundary conditions (periodic, open, open with more than 1 unit cell) and definitions of the characteristic concentration to estimate mass transfer coefficients for the range of capillary numbers 0.1 <Ca <1.0. We show that the time-dependent volume averaged concentration taken as the characteristic concentration produces the most robust results and that all strategies presented in the literature are extreme limits of one unified equation. Finally, we show good agreement of simulation results for different Peclet numbers with analytical predictions of van Baten and Krishna [2]. (c) 2013 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)580-596
Number of pages17
JournalChemical Engineering Journal
Volume225
Early online date11 Apr 2013
DOIs
Publication statusPublished - 1 Jun 2013

Keywords

  • Mass Transfer
  • Taylor/Bretherton bubble train flow
  • Multiphase flow
  • Lattice Boltzmann method
  • Binary liquid model
  • Flow in microchannels with parallel plates
  • TAYLOR FLOW
  • BOUNDARY-CONDITIONS
  • CROSS-SECTION
  • SLUG LENGTHS
  • GAS
  • EQUATION
  • SQUARE
  • LIQUID
  • CAPILLARIES
  • SIMULATIONS

Cite this

Lattice Boltzmann study of mass transfer for two-dimensional Bretherton/Taylor bubble train flow. / Kuzmin, A.; Januszewski, M.; Eskin, D.; Mostowfi, F.; Derksen, J. J.

In: Chemical Engineering Journal, Vol. 225, 01.06.2013, p. 580-596.

Research output: Contribution to journalArticle

Kuzmin, A. ; Januszewski, M. ; Eskin, D. ; Mostowfi, F. ; Derksen, J. J. / Lattice Boltzmann study of mass transfer for two-dimensional Bretherton/Taylor bubble train flow. In: Chemical Engineering Journal. 2013 ; Vol. 225. pp. 580-596.
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AU - Derksen, J. J.

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AB - This work presents a procedure for the determination of the volumetric mass transfer coefficient in the context of lattice Boltzmann simulations for the Bretherton/Taylor bubble train flow for capillary numbers 0.1 <Ca <1.0. We address the case where the hydrodynamic pattern changes from having a vortex in the slug (Ca <0.7) to not having it (Ca > 0.7) [1]. In the latter case the bubble shape is asymmetric and cannot be approximated through flat surfaces and circular circumferences as is often done in the literature [2,3]. When the vortex is present in the slug, the scalar concentration is well mixed and it is common to use periodic boundary conditions and the inlet/outlet-averaged concentration as the characteristic concentration. The latter is not valid for flows where the tracer is not well mixed, i.e. Ca > 0.7. We therefore examine various boundary conditions (periodic, open, open with more than 1 unit cell) and definitions of the characteristic concentration to estimate mass transfer coefficients for the range of capillary numbers 0.1 <Ca <1.0. We show that the time-dependent volume averaged concentration taken as the characteristic concentration produces the most robust results and that all strategies presented in the literature are extreme limits of one unified equation. Finally, we show good agreement of simulation results for different Peclet numbers with analytical predictions of van Baten and Krishna [2]. (c) 2013 Elsevier B.V. All rights reserved.

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