Phase-field simulation of Rayleigh instability on a fibre

Junxiang Yang, Junseok Kim

Research output: Contribution to journalArticle

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 languageEnglish
JournalInternational Journal of Multiphase Flow
DOIs
Publication statusAccepted/In press - 2018 Jan 1

Fingerprint

fibers
Fibers
threads
Liquids
simulation
liquids
liquid-solid interfaces
two phase flow
Two phase flow
Surface tension
interfacial tension
projection
Boundary conditions
Satellites
boundary conditions
Experiments

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 journalArticle

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