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Global models for moving contact lines.

J A Diez1, L Kondic, A Bertozzi

  • 1Department of Mathematics and Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708, USA. jdiez@exa.unicen.edu.ar

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 17, 2001
PubMed
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We simulated thin film flows using global models, finding precursor films computationally advantageous over slip models for simulating wetting phenomena without contact line tracking.

Area of Science:

  • Fluid dynamics
  • Surface science
  • Computational physics

Background:

  • Thin film flow is crucial in various scientific and industrial applications.
  • Modeling contact line motion in wetting phenomena presents significant computational challenges.
  • Existing models often require direct tracking of the contact line interface, complicating simulations.

Purpose of the Study:

  • To investigate global models for thin film flows driven by surface tension and gravity.
  • To compare the computational efficiency of precursor film and slip models.
  • To identify suitable numerical methods for simulating wetting phenomena in one and two dimensions.

Main Methods:

  • Utilizing the lubrication approximation for thin film flow.
  • Employing global models that incorporate either precursor film or slip conditions.

Related Experiment Videos

  • Performing a comparative analysis of standard and positivity-preserving numerical methods in one spatial dimension.

    • Main Results:

    • Demonstrated that completely wetting films can be simulated without direct contact line tracking using both precursor film and slip models.
    • Identified a significant computational advantage of the precursor film model compared to slip models.
    • Evaluated numerical methods for their suitability in one-dimensional simulations, with implications for two-dimensional problems.

    Conclusions:

    • Global models offer a viable approach to simulating wetting phenomena without explicit contact line tracking.
    • The precursor film model presents a more computationally efficient alternative to slip models for these simulations.
    • The study provides insights into selecting appropriate numerical methods for advanced thin film flow simulations.