Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method

Xiaofeng Yang; James J. Feng; Chun Liu; Jie Shen

doi:10.1016/j.jcp.2006.02.021

Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method

Xiaofeng Yang, James J. Feng, Chun Liu, Jie Shen

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197 Scopus citations

Abstract

We study the retraction and pinch-off of a liquid filament and the formation of drops by using an energetic variational phase field model, which describes the motion of mixtures of two incompressible fluids. An efficient and accurate numerical scheme is presented and implemented for the coupled nonlinear systems of Navier-Stokes type linear momentum equations and volume preserving Allen-Cahn type phase equations. Detailed numerical simulations for a Newtonian fluid filament falling into another ambient Newtonian fluid are carried out. The dynamical scaling behavior and the pinch-off behavior, as well as the formation of the consequent satellite droplets are investigated.

Original language	English (US)
Pages (from-to)	417-428
Number of pages	12
Journal	Journal of Computational Physics
Volume	218
Issue number	1
DOIs	https://doi.org/10.1016/j.jcp.2006.02.021
State	Published - Oct 10 2006

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
Physics and Astronomy(all)
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2006.02.021

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@article{de972d647d3e48449cda2214fd91b102,

title = "Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method",

abstract = "We study the retraction and pinch-off of a liquid filament and the formation of drops by using an energetic variational phase field model, which describes the motion of mixtures of two incompressible fluids. An efficient and accurate numerical scheme is presented and implemented for the coupled nonlinear systems of Navier-Stokes type linear momentum equations and volume preserving Allen-Cahn type phase equations. Detailed numerical simulations for a Newtonian fluid filament falling into another ambient Newtonian fluid are carried out. The dynamical scaling behavior and the pinch-off behavior, as well as the formation of the consequent satellite droplets are investigated.",

author = "Xiaofeng Yang and Feng, {James J.} and Chun Liu and Jie Shen",

note = "Funding Information: The research of J. Shen and X. Yang is partially supported in part by NSF-DMS 0456286, NSF-DMS 0509665 and a Purdue Research Foundation PRF-CIRG Grant. The research of C. Liu is partially supported by NSF-DMS 0405850 and NSF-DMS 0509094. J.J. Feng is partially supported by the NSERC, the Canada Research Chair program, and the NNSF of China (No. 20490220). J.J. Feng and C. Liu acknowledge the support of the Petroleum Research Fund of American Chemical Society. The authors thank the Institute of Mathematics and Applications of University of Minnesota for its hospitality and support. ",

year = "2006",

month = oct,

day = "10",

doi = "10.1016/j.jcp.2006.02.021",

language = "English (US)",

volume = "218",

pages = "417--428",

journal = "Journal of Computational Physics",

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TY - JOUR

T1 - Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method

AU - Yang, Xiaofeng

AU - Feng, James J.

AU - Liu, Chun

AU - Shen, Jie

N1 - Funding Information: The research of J. Shen and X. Yang is partially supported in part by NSF-DMS 0456286, NSF-DMS 0509665 and a Purdue Research Foundation PRF-CIRG Grant. The research of C. Liu is partially supported by NSF-DMS 0405850 and NSF-DMS 0509094. J.J. Feng is partially supported by the NSERC, the Canada Research Chair program, and the NNSF of China (No. 20490220). J.J. Feng and C. Liu acknowledge the support of the Petroleum Research Fund of American Chemical Society. The authors thank the Institute of Mathematics and Applications of University of Minnesota for its hospitality and support.

PY - 2006/10/10

Y1 - 2006/10/10

N2 - We study the retraction and pinch-off of a liquid filament and the formation of drops by using an energetic variational phase field model, which describes the motion of mixtures of two incompressible fluids. An efficient and accurate numerical scheme is presented and implemented for the coupled nonlinear systems of Navier-Stokes type linear momentum equations and volume preserving Allen-Cahn type phase equations. Detailed numerical simulations for a Newtonian fluid filament falling into another ambient Newtonian fluid are carried out. The dynamical scaling behavior and the pinch-off behavior, as well as the formation of the consequent satellite droplets are investigated.

AB - We study the retraction and pinch-off of a liquid filament and the formation of drops by using an energetic variational phase field model, which describes the motion of mixtures of two incompressible fluids. An efficient and accurate numerical scheme is presented and implemented for the coupled nonlinear systems of Navier-Stokes type linear momentum equations and volume preserving Allen-Cahn type phase equations. Detailed numerical simulations for a Newtonian fluid filament falling into another ambient Newtonian fluid are carried out. The dynamical scaling behavior and the pinch-off behavior, as well as the formation of the consequent satellite droplets are investigated.

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DO - 10.1016/j.jcp.2006.02.021

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SN - 0021-9991

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SP - 417

EP - 428

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 1

ER -

Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method

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