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Related Experiment Videos

Darcy's Law for Yield Stress Fluids.

Chen Liu1, Andrea De Luca2, Alberto Rosso3

  • 1FAST, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France.

Physical Review Letters
|July 20, 2019
PubMed
Summary
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This study reveals a continuous phase transition in yield stress fluid flow through porous media, controlled by pressure differences. Flow nonlinearity correlates with channel geometry changes, showing universal scale-free distributions near the transition.

Area of Science:

  • Fluid dynamics
  • Non-Newtonian rheology
  • Porous media physics

Background:

  • Predicting non-Newtonian fluid flow in disordered porous structures is complex.
  • The interplay of microscopic disorder and nonlinear fluid behavior presents significant challenges.

Purpose of the Study:

  • To investigate the flow behavior of yield stress fluids in a 2D porous structure.
  • To identify and characterize phase transitions in fluid flow dynamics.
  • To understand the relationship between flow nonlinearity and porous media geometry.

Main Methods:

  • Utilized an efficient optimization algorithm to simulate fluid flow.
  • Analyzed the flow curve nonlinearity and its relation to channel geometry.
  • Mapped the system to the Kardar-Parisi-Zhang equation for theoretical explanation.

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Main Results:

  • Observed a continuous phase transition in flow behavior controlled by applied pressure difference.
  • Characterized flow nonlinearity by analogy with plastic depinning phenomena.
  • Discovered a universal, scale-free distribution of channel lengths near the transition point.

Conclusions:

  • The study demonstrates a controllable phase transition in yield stress fluid flow within porous media.
  • Flow nonlinearity is intrinsically linked to the evolving geometry of open channels.
  • Theoretical mapping to the Kardar-Parisi-Zhang equation provides a framework for understanding observed phenomena.