A multiphase lattice Boltzmann study of buoyancy-induced mixing in a tilted channel

K. C. Sahu, Surya Pratap Vanka

Research output: Contribution to journalArticle

Abstract

We study the buoyancy-induced interpenetration of two immiscible fluids in a tilted channel by a two-phase lattice Boltzmann method using a non-ideal gas equation of state well-suited for two incompressible fluids. The method is simple, elegant and easily parallelizable. After first validating the code for simulating Rayleigh-Taylor instabilities in a unstably-stratified flow, we applied the code to simulate the buoyancy-induced mixing in a tilted channel at various Atwood numbers, Reynolds numbers, tilt angles, and surface tension parameters. The effects of these parameters are studied in terms of the flow structures, front velocities, and velocity profiles. For one set of parameters, comparisons have also been made with results of a finite volume method. The present results are seen to agree well with those of a finite volume method in the interior of the flow; however near the boundary there is some discrepancy.

Original languageEnglish (US)
Pages (from-to)199-215
Number of pages17
JournalComputers and Fluids
Volume50
Issue number1
DOIs
StatePublished - Nov 1 2011

Fingerprint

Finite volume method
Buoyancy
Equations of state of gases
Fluids
Flow structure
Surface tension
Reynolds number

Keywords

  • Density driven flows
  • Inclined channel
  • Interface
  • Laminar flow
  • Mixing
  • Multiphase flow

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)

Cite this

A multiphase lattice Boltzmann study of buoyancy-induced mixing in a tilted channel. / Sahu, K. C.; Vanka, Surya Pratap.

In: Computers and Fluids, Vol. 50, No. 1, 01.11.2011, p. 199-215.

Research output: Contribution to journalArticle

@article{e86cca975d9b4565815625d6633b5b5b,
title = "A multiphase lattice Boltzmann study of buoyancy-induced mixing in a tilted channel",
abstract = "We study the buoyancy-induced interpenetration of two immiscible fluids in a tilted channel by a two-phase lattice Boltzmann method using a non-ideal gas equation of state well-suited for two incompressible fluids. The method is simple, elegant and easily parallelizable. After first validating the code for simulating Rayleigh-Taylor instabilities in a unstably-stratified flow, we applied the code to simulate the buoyancy-induced mixing in a tilted channel at various Atwood numbers, Reynolds numbers, tilt angles, and surface tension parameters. The effects of these parameters are studied in terms of the flow structures, front velocities, and velocity profiles. For one set of parameters, comparisons have also been made with results of a finite volume method. The present results are seen to agree well with those of a finite volume method in the interior of the flow; however near the boundary there is some discrepancy.",
keywords = "Density driven flows, Inclined channel, Interface, Laminar flow, Mixing, Multiphase flow",
author = "Sahu, {K. C.} and Vanka, {Surya Pratap}",
year = "2011",
month = "11",
day = "1",
doi = "10.1016/j.compfluid.2011.07.012",
language = "English (US)",
volume = "50",
pages = "199--215",
journal = "Computers and Fluids",
issn = "0045-7930",
publisher = "Elsevier Limited",
number = "1",

}

TY - JOUR

T1 - A multiphase lattice Boltzmann study of buoyancy-induced mixing in a tilted channel

AU - Sahu, K. C.

AU - Vanka, Surya Pratap

PY - 2011/11/1

Y1 - 2011/11/1

N2 - We study the buoyancy-induced interpenetration of two immiscible fluids in a tilted channel by a two-phase lattice Boltzmann method using a non-ideal gas equation of state well-suited for two incompressible fluids. The method is simple, elegant and easily parallelizable. After first validating the code for simulating Rayleigh-Taylor instabilities in a unstably-stratified flow, we applied the code to simulate the buoyancy-induced mixing in a tilted channel at various Atwood numbers, Reynolds numbers, tilt angles, and surface tension parameters. The effects of these parameters are studied in terms of the flow structures, front velocities, and velocity profiles. For one set of parameters, comparisons have also been made with results of a finite volume method. The present results are seen to agree well with those of a finite volume method in the interior of the flow; however near the boundary there is some discrepancy.

AB - We study the buoyancy-induced interpenetration of two immiscible fluids in a tilted channel by a two-phase lattice Boltzmann method using a non-ideal gas equation of state well-suited for two incompressible fluids. The method is simple, elegant and easily parallelizable. After first validating the code for simulating Rayleigh-Taylor instabilities in a unstably-stratified flow, we applied the code to simulate the buoyancy-induced mixing in a tilted channel at various Atwood numbers, Reynolds numbers, tilt angles, and surface tension parameters. The effects of these parameters are studied in terms of the flow structures, front velocities, and velocity profiles. For one set of parameters, comparisons have also been made with results of a finite volume method. The present results are seen to agree well with those of a finite volume method in the interior of the flow; however near the boundary there is some discrepancy.

KW - Density driven flows

KW - Inclined channel

KW - Interface

KW - Laminar flow

KW - Mixing

KW - Multiphase flow

UR - http://www.scopus.com/inward/record.url?scp=80052360384&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80052360384&partnerID=8YFLogxK

U2 - 10.1016/j.compfluid.2011.07.012

DO - 10.1016/j.compfluid.2011.07.012

M3 - Article

VL - 50

SP - 199

EP - 215

JO - Computers and Fluids

JF - Computers and Fluids

SN - 0045-7930

IS - 1

ER -