Abstract
In this paper, we present a phase-field method for Rayleigh instability on a fibre. Unlike a liquid column, the evolutionary dynamics of a liquid layer on a fibre depends on the boundary condition at the solid-liquid interface. We use a Navier–Stokes–Cahn–Hilliard system to model axisymmetric immiscible and incompressible two-phase flow with surface tension on a fibre. We solve the Navier–Stokes equation using a projection method and the Cahn–Hilliard equation using a nonlinearly stable splitting method. We present computational experiments with various thicknesses of liquid thread and fibre. The numerical results indicate that the size of the satellite droplet decreases as the thicknesses of the thread and fibre increase.
| Original language | English |
|---|---|
| Journal | International Journal of Multiphase Flow |
| DOIs | |
| Publication status | Accepted/In press - 2018 Jan 1 |
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Keywords
- Cahn–Hilliard equation
- Flow on a fibre
- Navier–Stokes equation
- Rayleigh instability
- Unconditionally stable scheme
ASJC Scopus subject areas
- Mechanical Engineering
- Physics and Astronomy(all)
- Fluid Flow and Transfer Processes
Cite this
Phase-field simulation of Rayleigh instability on a fibre. / Yang, Junxiang; Kim, Junseok.
In: International Journal of Multiphase Flow, 01.01.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Phase-field simulation of Rayleigh instability on a fibre
AU - Yang, Junxiang
AU - Kim, Junseok
PY - 2018/1/1
Y1 - 2018/1/1
N2 - In this paper, we present a phase-field method for Rayleigh instability on a fibre. Unlike a liquid column, the evolutionary dynamics of a liquid layer on a fibre depends on the boundary condition at the solid-liquid interface. We use a Navier–Stokes–Cahn–Hilliard system to model axisymmetric immiscible and incompressible two-phase flow with surface tension on a fibre. We solve the Navier–Stokes equation using a projection method and the Cahn–Hilliard equation using a nonlinearly stable splitting method. We present computational experiments with various thicknesses of liquid thread and fibre. The numerical results indicate that the size of the satellite droplet decreases as the thicknesses of the thread and fibre increase.
AB - In this paper, we present a phase-field method for Rayleigh instability on a fibre. Unlike a liquid column, the evolutionary dynamics of a liquid layer on a fibre depends on the boundary condition at the solid-liquid interface. We use a Navier–Stokes–Cahn–Hilliard system to model axisymmetric immiscible and incompressible two-phase flow with surface tension on a fibre. We solve the Navier–Stokes equation using a projection method and the Cahn–Hilliard equation using a nonlinearly stable splitting method. We present computational experiments with various thicknesses of liquid thread and fibre. The numerical results indicate that the size of the satellite droplet decreases as the thicknesses of the thread and fibre increase.
KW - Cahn–Hilliard equation
KW - Flow on a fibre
KW - Navier–Stokes equation
KW - Rayleigh instability
KW - Unconditionally stable scheme
UR - http://www.scopus.com/inward/record.url?scp=85045108105&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85045108105&partnerID=8YFLogxK
U2 - 10.1016/j.ijmultiphaseflow.2018.03.019
DO - 10.1016/j.ijmultiphaseflow.2018.03.019
M3 - Article
JO - International Journal of Multiphase Flow
JF - International Journal of Multiphase Flow
SN - 0301-9322
ER -