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

Hyun Geun Lee, Junseok Kim

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16 Citations (Scopus)


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
Publication statusPublished - 2013 Nov

Bibliographical note

Funding Information:
The first author (Hyun Geun Lee) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2012R1A6A3A01019827 ). The authors greatly appreciate the reviewers for their constructive comments and suggestions, which improved the quality of this paper. The corresponding author (J.S. Kim) also thanks Dr. Lee for suggesting this problem and for valuable discussions.


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

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)


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