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液丝破裂过程的VOF模拟

洪若瑜   

  1. Department of Chemistry and Chemical Engineering, Soochow University, Suzhou,215001, China
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2003-10-28 发布日期:2003-10-28
  • 通讯作者: 洪若瑜

Numerical Study of Pinching Liquid Filament Using VOF Method

HONG Ruoyu   

  1. Department of Chemistry and Chemical Engineering, Soochow University, Suzhou,215001, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2003-10-28 Published:2003-10-28
  • Contact: HONG Ruoyu

摘要: Study on pinching liquid filament in literature was reviewed. The breakup of liquid
filaments under surface tension is governed by incompressible, two-dimensional (2-D),
Navier-Stokes Equations. Surface tension was expressed via a CSF (continuous surface force)
model that ensures robustness and accuracy. A new surface reconstruction scheme,
alternative phase integration (API) scheme was proposed to solve the kinematic equation,and
was compared with other three referential schemes. A general-purpose computer program has
been developed for simulating transient, 2-D, incompressible fluid flows with free surface
of complex topology. The transient behavior of breaking Newtonian liquid filaments under
surface tension was simulated successfully using the developed program.The initial wave
growth predicted using API-VOF (volume of fluid) scheme was in good agreement with
Rayleigh’s linear theory and one-dimensional (1-D) long-wave theory. Both long wave theory
and two-dimensional (2-D) APIVOF model on fine meshes show that as time goes on, these
waves pinch off large droplets separated by smaller satellite ones that decrease in size
with decreasing wavelength. Self-similar structure during the breakup was found using 1-D
and 2-D models, and three breakups were predicted for a typical case. The criterion of
filament breaking predicted by the 2-D model is that the wavelength is longer than the
circumference of a filament. The predicted sizes of main and satellite droplets were
compared with published experimental measurements.

关键词: Navier-Stokes equation;control volume;volume of fluid;free surface;liquid-filament breaking

Abstract: Study on pinching liquid filament in literature was reviewed. The breakup of liquid
filaments under surface tension is governed by incompressible, two-dimensional (2-D),
Navier-Stokes Equations. Surface tension was expressed via a CSF (continuous surface force)
model that ensures robustness and accuracy. A new surface reconstruction scheme,
alternative phase integration (API) scheme was proposed to solve the kinematic equation,and
was compared with other three referential schemes. A general-purpose computer program has
been developed for simulating transient, 2-D, incompressible fluid flows with free surface
of complex topology. The transient behavior of breaking Newtonian liquid filaments under
surface tension was simulated successfully using the developed program.The initial wave
growth predicted using API-VOF (volume of fluid) scheme was in good agreement with
Rayleigh’s linear theory and one-dimensional (1-D) long-wave theory. Both long wave theory
and two-dimensional (2-D) APIVOF model on fine meshes show that as time goes on, these
waves pinch off large droplets separated by smaller satellite ones that decrease in size
with decreasing wavelength. Self-similar structure during the breakup was found using 1-D
and 2-D models, and three breakups were predicted for a typical case. The criterion of
filament breaking predicted by the 2-D model is that the wavelength is longer than the
circumference of a filament. The predicted sizes of main and satellite droplets were
compared with published experimental measurements.

Key words: Navier-Stokes equation, control volume, volume of fluid, free surface, liquid-filament breaking