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Related Experiment Videos

Ripening of porous media.

Benny Davidovitch1, Deniz Ertaş, Thomas C Halsey

  • 1Corporate Strategic Research, ExxonMobil Research and Engineering, 1545 Route 22 East, Annandale, New Jersey 08801, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 5, 2004
PubMed
Summary

The study shows that flat surfaces are the only stable interfaces in porous media dynamics. Complex curved surfaces (CMC surfaces) are unlikely to form in real environments due to instability.

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Area of Science:

  • Fluid dynamics
  • Porous media physics
  • Surface science

Background:

  • Surface tension drives fluid behavior in porous media.
  • Understanding interface stability is crucial for predicting fluid flow.
  • Constant mean curvature (CMC) surfaces are theoretical fixed points.

Purpose of the Study:

  • To analyze the stability of interfaces in porous media under surface-tension-driven dynamics.
  • To determine the conditions under which CMC surfaces are stable or unstable.
  • To investigate the influence of environmental conditions (open vs. closed) on interface dynamics.

Main Methods:

  • Linearization of surface-tension-driven dynamics near fixed points.
  • Analysis of stability in the reaction-limited regime.
  • Mathematical estimation of the timescale for interface instability.

Main Results:

  • The planar interface is proven to be the only stable configuration.
  • The timescale for CMC surfaces to lose stability is estimated.
  • Significant differences in dynamics between open and closed environments are identified.

Conclusions:

  • Planar interfaces are inherently stable in these systems.
  • CMC surfaces are dynamically unstable and unlikely to be realized in porous media.
  • Environmental factors significantly impact the likelihood of observing specific interface geometries.

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