Numerical study of turbulent liquid-liquid dispersions

Alexandra E. Komrakova, Dmitry Eskin, J. J. Derksen

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

A numerical approach is developed to gain fundamental insight in liquid-liquid dispersion formation under well-controlled turbulent conditions. The approach is based on a free energy lattice Boltzmann equation method, and relies on detailed resolution of the interaction of the dispersed and continuous phase at the microscopic level, including drop breakup and coalescence. The capability of the numerical technique to perform direct numerical simulations of turbulently agitated liquid-liquid dispersions is assessed. Three-dimensional simulations are carried out in fully periodic cubic domains with grids of size 1003to10003. The liquids are of equal density. Viscosity ratios (dispersed phase over continuous phase) are in the range 0.3-1.0. The dispersed phase volume fraction varies from 0.001 to 0.2. The process of dispersion formation is followed and visualized. The size of each drop in the dispersion is measured in-line with no disturbance of the flow. However, the numerical method is plagued by numerical dissolution of drops that are smaller than 10 times the lattice spacing. It is shown that to mitigate this effect it is necessary to increase the resolution of the Kolmogorov scales, such as to have a minimum drop size in the range 20-30 lattice units [lu]. Four levels of Kolmogorov length scale resolution have been considered K=1, 2.5, 5, and 10 [lu]. In addition, the numerical dissolution reduces if the concentration of the dispersed phase is increased. (c) 2015 American Institute of Chemical Engineers AIChE J, 61: 2618-2633, 2015

Original languageEnglish
Pages (from-to)2618-2633
Number of pages16
JournalAIChE Journal
Volume61
Issue number8
DOIs
Publication statusPublished - Aug 2015

Keywords

  • liquid-liquid
  • mixing
  • multiphase flow
  • turbulence
  • free energy lattice Boltzmann
  • lattice Boltzmann simulations
  • of-fluid method
  • drop size distribution
  • shear-flow
  • isotropic turbulence
  • phase viscosity
  • surface-tension
  • 2-phase flows
  • stirred-tank
  • breakup

Cite this

Numerical study of turbulent liquid-liquid dispersions. / Komrakova, Alexandra E.; Eskin, Dmitry; Derksen, J. J.

In: AIChE Journal, Vol. 61, No. 8, 08.2015, p. 2618-2633.

Research output: Contribution to journalArticle

Komrakova, Alexandra E. ; Eskin, Dmitry ; Derksen, J. J. / Numerical study of turbulent liquid-liquid dispersions. In: AIChE Journal. 2015 ; Vol. 61, No. 8. pp. 2618-2633.
@article{243e202c4cec460696b38929409eebd0,
title = "Numerical study of turbulent liquid-liquid dispersions",
abstract = "A numerical approach is developed to gain fundamental insight in liquid-liquid dispersion formation under well-controlled turbulent conditions. The approach is based on a free energy lattice Boltzmann equation method, and relies on detailed resolution of the interaction of the dispersed and continuous phase at the microscopic level, including drop breakup and coalescence. The capability of the numerical technique to perform direct numerical simulations of turbulently agitated liquid-liquid dispersions is assessed. Three-dimensional simulations are carried out in fully periodic cubic domains with grids of size 1003to10003. The liquids are of equal density. Viscosity ratios (dispersed phase over continuous phase) are in the range 0.3-1.0. The dispersed phase volume fraction varies from 0.001 to 0.2. The process of dispersion formation is followed and visualized. The size of each drop in the dispersion is measured in-line with no disturbance of the flow. However, the numerical method is plagued by numerical dissolution of drops that are smaller than 10 times the lattice spacing. It is shown that to mitigate this effect it is necessary to increase the resolution of the Kolmogorov scales, such as to have a minimum drop size in the range 20-30 lattice units [lu]. Four levels of Kolmogorov length scale resolution have been considered K=1, 2.5, 5, and 10 [lu]. In addition, the numerical dissolution reduces if the concentration of the dispersed phase is increased. (c) 2015 American Institute of Chemical Engineers AIChE J, 61: 2618-2633, 2015",
keywords = "liquid-liquid, mixing, multiphase flow, turbulence, free energy lattice Boltzmann, lattice Boltzmann simulations, of-fluid method, drop size distribution, shear-flow, isotropic turbulence, phase viscosity, surface-tension, 2-phase flows, stirred-tank, breakup",
author = "Komrakova, {Alexandra E.} and Dmitry Eskin and Derksen, {J. J.}",
year = "2015",
month = "8",
doi = "10.1002/aic.14821",
language = "English",
volume = "61",
pages = "2618--2633",
journal = "AIChE Journal",
issn = "0001-1541",
publisher = "Wiley-Blackwell",
number = "8",

}

TY - JOUR

T1 - Numerical study of turbulent liquid-liquid dispersions

AU - Komrakova, Alexandra E.

AU - Eskin, Dmitry

AU - Derksen, J. J.

PY - 2015/8

Y1 - 2015/8

N2 - A numerical approach is developed to gain fundamental insight in liquid-liquid dispersion formation under well-controlled turbulent conditions. The approach is based on a free energy lattice Boltzmann equation method, and relies on detailed resolution of the interaction of the dispersed and continuous phase at the microscopic level, including drop breakup and coalescence. The capability of the numerical technique to perform direct numerical simulations of turbulently agitated liquid-liquid dispersions is assessed. Three-dimensional simulations are carried out in fully periodic cubic domains with grids of size 1003to10003. The liquids are of equal density. Viscosity ratios (dispersed phase over continuous phase) are in the range 0.3-1.0. The dispersed phase volume fraction varies from 0.001 to 0.2. The process of dispersion formation is followed and visualized. The size of each drop in the dispersion is measured in-line with no disturbance of the flow. However, the numerical method is plagued by numerical dissolution of drops that are smaller than 10 times the lattice spacing. It is shown that to mitigate this effect it is necessary to increase the resolution of the Kolmogorov scales, such as to have a minimum drop size in the range 20-30 lattice units [lu]. Four levels of Kolmogorov length scale resolution have been considered K=1, 2.5, 5, and 10 [lu]. In addition, the numerical dissolution reduces if the concentration of the dispersed phase is increased. (c) 2015 American Institute of Chemical Engineers AIChE J, 61: 2618-2633, 2015

AB - A numerical approach is developed to gain fundamental insight in liquid-liquid dispersion formation under well-controlled turbulent conditions. The approach is based on a free energy lattice Boltzmann equation method, and relies on detailed resolution of the interaction of the dispersed and continuous phase at the microscopic level, including drop breakup and coalescence. The capability of the numerical technique to perform direct numerical simulations of turbulently agitated liquid-liquid dispersions is assessed. Three-dimensional simulations are carried out in fully periodic cubic domains with grids of size 1003to10003. The liquids are of equal density. Viscosity ratios (dispersed phase over continuous phase) are in the range 0.3-1.0. The dispersed phase volume fraction varies from 0.001 to 0.2. The process of dispersion formation is followed and visualized. The size of each drop in the dispersion is measured in-line with no disturbance of the flow. However, the numerical method is plagued by numerical dissolution of drops that are smaller than 10 times the lattice spacing. It is shown that to mitigate this effect it is necessary to increase the resolution of the Kolmogorov scales, such as to have a minimum drop size in the range 20-30 lattice units [lu]. Four levels of Kolmogorov length scale resolution have been considered K=1, 2.5, 5, and 10 [lu]. In addition, the numerical dissolution reduces if the concentration of the dispersed phase is increased. (c) 2015 American Institute of Chemical Engineers AIChE J, 61: 2618-2633, 2015

KW - liquid-liquid

KW - mixing

KW - multiphase flow

KW - turbulence

KW - free energy lattice Boltzmann

KW - lattice Boltzmann simulations

KW - of-fluid method

KW - drop size distribution

KW - shear-flow

KW - isotropic turbulence

KW - phase viscosity

KW - surface-tension

KW - 2-phase flows

KW - stirred-tank

KW - breakup

U2 - 10.1002/aic.14821

DO - 10.1002/aic.14821

M3 - Article

VL - 61

SP - 2618

EP - 2633

JO - AIChE Journal

JF - AIChE Journal

SN - 0001-1541

IS - 8

ER -