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Geodesic network method for flows between two rough surfaces in contact.

F Plouraboué1, F Flukiger, M Prat

  • 1Institut de Mécanique des Fluides de Toulouse, UMR CNRS-INPT/UPS No. 5502 Avenue du Professeur Camille Soula, 31400 Toulouse, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2006
PubMed
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A new discrete network method models fluid flow between rough surfaces. This approach accurately computes macroscopic conductances for confined rough surfaces, offering a robust solution for fluid transport challenges.

Area of Science:

  • Fluid dynamics
  • Computational physics
  • Surface science

Background:

  • Modeling fluid flow between confined rough surfaces is complex.
  • Existing methods struggle with close surface contact and surface heterogeneity.
  • Asymptotic analysis provides a basis for understanding fluid behavior in confined geometries.

Purpose of the Study:

  • To introduce a novel discrete network method for computing fluid flows between confined rough surfaces.
  • To address the challenge of fluid transport in scenarios involving closely contacting rough surfaces.
  • To provide a versatile method applicable to both continuous random fields and discretized surfaces.

Main Methods:

  • Development of a random heterogeneous geodesic network method.
  • Numerical implementation and performance evaluation of the proposed method.

Related Experiment Videos

  • Computation and analysis of macroscopic conductances, particularly away from the percolation threshold.

    • Main Results:

    • The discrete network method effectively computes fluid flows between confined rough surfaces.
    • Macroscopic conductances are accurately determined for heterogeneous surfaces.
    • Numerical results show good agreement with the effective medium approximation.

    Conclusions:

    • The proposed discrete network method is a viable and accurate approach for simulating fluid transport between confined rough surfaces.
    • The method offers flexibility in handling different surface descriptions (random fields or grids).
    • Further analytical study of the effective medium approximation is warranted.