TY - JOUR
T1 - Phase-field simulation of Rayleigh instability on a fibre
AU - Yang, Junxiang
AU - Kim, Junseok
N1 - Funding Information:
The corresponding author (J.S. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education ( NRF-2016R1D1A1B03933243 ). The author is grateful to the anonymous referees whose valuable suggestions and comments significantly improved the quality of this paper.
Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/8
Y1 - 2018/8
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
U2 - 10.1016/j.ijmultiphaseflow.2018.03.019
DO - 10.1016/j.ijmultiphaseflow.2018.03.019
M3 - Article
AN - SCOPUS:85045108105
VL - 105
SP - 84
EP - 90
JO - International Journal of Multiphase Flow
JF - International Journal of Multiphase Flow
SN - 0301-9322
ER -