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Elastic fingering in rotating Hele-Shaw flows.

Gabriel D Carvalho1, Hermes Gadêlha2, José A Miranda1

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Introducing elasticity to fluid interfaces in rotating flows changes finger competition dynamics. Interface elasticity, not viscosity contrast, dictates finger length variability, offering new control over fluid behavior.

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Area of Science:

  • Fluid dynamics
  • Interface physics
  • Nonlinear dynamics

Background:

  • Viscous fingering occurs in rotating Hele-Shaw cells due to capillary and centrifugal forces.
  • Finger competition is sensitive to viscosity contrast, influencing structure formation.

Purpose of the Study:

  • Investigate the impact of an elastic interface on viscous fingering dynamics.
  • Explore how interface elasticity affects finger competition and length variability.

Main Methods:

  • Utilized a perturbative weakly nonlinear approach.
  • Analyzed a rotating flow problem with reactive fluids forming an elastic interface.

Main Results:

  • Interface elasticity introduces a novel dynamic scenario for finger competition.
  • Finger length variability is governed by characteristic radius and rigidity fraction, not viscosity contrast.

Conclusions:

  • Elastic interfaces offer a new mechanism to control finger competition in rotating flows.
  • Tuning interface properties allows for diverse finger competition behaviors independent of viscosity contrast.