Buoyancy-driven mixing of multi-component fluids in two-dimensional tilted channels

Hyun Geun Lee, Junseok Kim

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Buoyancy-driven mixing of multi-component incompressible immiscible fluids in two-dimensional tilted channels is studied numerically using a phase-field model. This paper extends the previous work [K.C. Sahu, S.P. Vanka, A multiphase lattice Boltzmann study of buoyancy-induced mixing in a tilted channel, Comput. Fluids 50 (2011) 199-215] to the multi-component (more than two) fluid case. The mixing dynamics are governed by the modified Navier-Stokes equations and the multi-component convective Cahn-Hilliard equations. A finite difference method is used to discretize the governing system. To solve the equations efficiently and accurately, we employ Chorin's projection method for the modified Navier-Stokes equations, and the recently developed practically unconditionally stable method for the multi-component Cahn-Hilliard equations. We numerically investigate the effects of various density ratios, tilt angles, Reynolds numbers, and Weber numbers on the interface structures and front velocities. The trends observed in simulations with multi-component fluids are consistent with previous numerical results for two-component fluids.

Original languageEnglish
Pages (from-to)37-46
Number of pages10
JournalEuropean Journal of Mechanics, B/Fluids
Volume42
DOIs
Publication statusPublished - 2013 Nov 1

Fingerprint

Buoyancy
buoyancy
Fluid
fluids
Cahn-Hilliard Equation
Modified Equations
Navier-Stokes Equations
Navier-Stokes equation
Immiscible Fluids
Phase Field Model
Unconditionally Stable
Lattice Boltzmann
Tilt
Projection Method
Incompressible Fluid
incompressible fluids
Difference Method
Reynolds number
Finite Difference
Angle

Keywords

  • Buoyancy-driven mixing
  • Inclined channel
  • Multi-component fluid flows
  • Phase-field model

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Buoyancy-driven mixing of multi-component fluids in two-dimensional tilted channels. / Geun Lee, Hyun; Kim, Junseok.

In: European Journal of Mechanics, B/Fluids, Vol. 42, 01.11.2013, p. 37-46.

Research output: Contribution to journalArticle

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