Simulations of mobilization of Bingham layers in a turbulently agitated tank

J. J. Derksen*

*Corresponding author for this work

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Numerical simulations were used to study mobilization and mixing of a bottom layer of Bingham liquid by agitating a Newtonian liquid above the Bingham layer. The agitation is done by a pitched-blade impeller at a Reynolds number of 6000. The Bingham liquid and the Newtonian liquid are miscible. The parameter space of the simulations has a yield stress number and a Richardson number as dimensionless variables. The yield stress number quantifies the importance of the yield stress relative to inertial stresses, the Richardson number the role of the density difference between the two liquids. The simulation procedure is based on the lattice-Boltzmann method for the flow dynamics, and a finite volume scheme to solve for the local and time dependent composition of the liquid mixture. Flow dynamics and liquid composition are intimately coupled. The moderate Reynolds number tentatively allows us to directly simulate the transitional flow, without a need for a turbulence closure model. The results quantify the increase of mixing time with increasing yield stress and (to a weaker extent) density difference.
Original languageEnglish
Pages (from-to)25-34
Number of pages10
JournalJournal of non-Newtonian fluid mechanics
Volume191
Early online date19 Nov 2012
DOIs
Publication statusPublished - Jan 2013

Keywords

  • Mixing
  • Blending
  • Bingham liquid
  • Yield stress
  • Buoyancy
  • Lattice-Boltzmann method

Cite this

Simulations of mobilization of Bingham layers in a turbulently agitated tank. / Derksen, J. J.

In: Journal of non-Newtonian fluid mechanics, Vol. 191, 01.2013, p. 25-34.

Research output: Contribution to journalArticle

@article{9c9c92cf0c1f4d4399afc9b6d5fd011b,
title = "Simulations of mobilization of Bingham layers in a turbulently agitated tank",
abstract = "Numerical simulations were used to study mobilization and mixing of a bottom layer of Bingham liquid by agitating a Newtonian liquid above the Bingham layer. The agitation is done by a pitched-blade impeller at a Reynolds number of 6000. The Bingham liquid and the Newtonian liquid are miscible. The parameter space of the simulations has a yield stress number and a Richardson number as dimensionless variables. The yield stress number quantifies the importance of the yield stress relative to inertial stresses, the Richardson number the role of the density difference between the two liquids. The simulation procedure is based on the lattice-Boltzmann method for the flow dynamics, and a finite volume scheme to solve for the local and time dependent composition of the liquid mixture. Flow dynamics and liquid composition are intimately coupled. The moderate Reynolds number tentatively allows us to directly simulate the transitional flow, without a need for a turbulence closure model. The results quantify the increase of mixing time with increasing yield stress and (to a weaker extent) density difference.",
keywords = "Mixing, Blending, Bingham liquid, Yield stress, Buoyancy, Lattice-Boltzmann method",
author = "Derksen, {J. J.}",
year = "2013",
month = "1",
doi = "10.1016/j.jnnfm.2012.09.012",
language = "English",
volume = "191",
pages = "25--34",
journal = "Journal of non-Newtonian fluid mechanics",
issn = "0377-0257",
publisher = "ELSEVIER SCIENCE BV",

}

TY - JOUR

T1 - Simulations of mobilization of Bingham layers in a turbulently agitated tank

AU - Derksen, J. J.

PY - 2013/1

Y1 - 2013/1

N2 - Numerical simulations were used to study mobilization and mixing of a bottom layer of Bingham liquid by agitating a Newtonian liquid above the Bingham layer. The agitation is done by a pitched-blade impeller at a Reynolds number of 6000. The Bingham liquid and the Newtonian liquid are miscible. The parameter space of the simulations has a yield stress number and a Richardson number as dimensionless variables. The yield stress number quantifies the importance of the yield stress relative to inertial stresses, the Richardson number the role of the density difference between the two liquids. The simulation procedure is based on the lattice-Boltzmann method for the flow dynamics, and a finite volume scheme to solve for the local and time dependent composition of the liquid mixture. Flow dynamics and liquid composition are intimately coupled. The moderate Reynolds number tentatively allows us to directly simulate the transitional flow, without a need for a turbulence closure model. The results quantify the increase of mixing time with increasing yield stress and (to a weaker extent) density difference.

AB - Numerical simulations were used to study mobilization and mixing of a bottom layer of Bingham liquid by agitating a Newtonian liquid above the Bingham layer. The agitation is done by a pitched-blade impeller at a Reynolds number of 6000. The Bingham liquid and the Newtonian liquid are miscible. The parameter space of the simulations has a yield stress number and a Richardson number as dimensionless variables. The yield stress number quantifies the importance of the yield stress relative to inertial stresses, the Richardson number the role of the density difference between the two liquids. The simulation procedure is based on the lattice-Boltzmann method for the flow dynamics, and a finite volume scheme to solve for the local and time dependent composition of the liquid mixture. Flow dynamics and liquid composition are intimately coupled. The moderate Reynolds number tentatively allows us to directly simulate the transitional flow, without a need for a turbulence closure model. The results quantify the increase of mixing time with increasing yield stress and (to a weaker extent) density difference.

KW - Mixing

KW - Blending

KW - Bingham liquid

KW - Yield stress

KW - Buoyancy

KW - Lattice-Boltzmann method

U2 - 10.1016/j.jnnfm.2012.09.012

DO - 10.1016/j.jnnfm.2012.09.012

M3 - Article

VL - 191

SP - 25

EP - 34

JO - Journal of non-Newtonian fluid mechanics

JF - Journal of non-Newtonian fluid mechanics

SN - 0377-0257

ER -