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Sliding drops in the diffuse interface model coupled to hydrodynamics.

U Thiele1, M G Velarde, K Neuffer

  • 1Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, 28040 Madrid, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
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Thin films on inclined planes form universal flat sliding drops, independent of thickness. Their behavior, including velocity and contact angles, is detailed, revealing a dynamical wetting transition.

Area of Science:

  • Physics
  • Fluid Dynamics
  • Materials Science

Background:

  • Understanding thin film dynamics on inclined surfaces is crucial for various applications.
  • Previous models often simplified the complex interplay of surface tension and gravity.
  • Diffuse interface theory and long-wave approximation offer advanced modeling capabilities.

Purpose of the Study:

  • To investigate one-dimensional surface profiles of thin films on inclined planes.
  • To analyze the stability and properties of stationary and periodic solutions.
  • To identify universal profiles and study dynamical wetting transitions.

Main Methods:

  • Utilized a film thickness evolution equation combining long-wave approximation and diffuse interface theory.
  • Analyzed stationary flat film and periodic solutions, including their linear stability.

Related Experiment Videos

  • Investigated the dependence of drop velocity, contact angles, and plateau thickness on plane inclination.

    • Main Results:

    • Identified flat sliding drops as universal profiles, independent of mean film thickness.
    • Characterized the velocity, advancing/receding dynamic contact angles, and plateau thicknesses of these drops.
    • Observed a dynamical wetting transition with hysteresis between droplike solutions and nonlinear waves.

    Conclusions:

    • Flat sliding drops represent a universal behavior for thin films on inclined planes.
    • The inclination angle significantly influences the dynamics and morphology of these drops.
    • A distinct dynamical wetting transition exists, characterized by hysteresis, highlighting complex fluid behavior.