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

Hyun Geun Lee; Junseok Kim

doi:10.1016/j.euromechflu.2013.06.004

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

Hyun Geun Lee, Junseok Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

16 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 language	English
Pages (from-to)	37-46
Number of pages	10
Journal	European Journal of Mechanics, B/Fluids
Volume	42
DOIs	https://doi.org/10.1016/j.euromechflu.2013.06.004
Publication status	Published - 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.

Keywords

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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10.1016/j.euromechflu.2013.06.004

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title = "Buoyancy-driven mixing of multi-component fluids in two-dimensional tilted channels",

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.",

keywords = "Buoyancy-driven mixing, Inclined channel, Multi-component fluid flows, Phase-field model",

author = "{Geun Lee}, Hyun and Junseok Kim",

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.",

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AU - Geun Lee, Hyun

AU - Kim, Junseok

N1 - 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.

PY - 2013/11

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N2 - 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.

AB - 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.

KW - Buoyancy-driven mixing

KW - Inclined channel

KW - Multi-component fluid flows

KW - Phase-field model

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ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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