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Particle-laden filaments from a draining suspension.

Benjamin C Druecke1, Alireza Hooshanginejad2, Ranit Mukherjee3

  • 1Donaldson Company, Inc., Bloomington, MN 55431, USA.

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|October 28, 2025
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Summary
This summary is machine-generated.

Suspended particles in a Hele-Shaw cell create unique filament patterns as they drain slower than the fluid. This particle-scale instability arises from individual particle dynamics, distinct from classic viscous fingering.

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Area of Science:

  • Fluid dynamics
  • Soft matter physics
  • Interfacial phenomena

Background:

  • Hele-Shaw cells are used to study fluid instabilities.
  • Suspensions of non-colloidal particles exhibit complex behaviors in confined geometries.
  • Interfacial deformations are crucial in multiphase flow systems.

Purpose of the Study:

  • To investigate the drainage dynamics of particle suspensions in a Hele-Shaw cell.
  • To characterize the particle-scale instability and its relation to classic instabilities.
  • To develop a theoretical framework for the observed phenomena.

Main Methods:

  • Experimental investigation of particle suspension drainage in a vertical Hele-Shaw cell.
  • Varying channel gap thickness and drainage rates.
  • Analysis of interfacial deformations and pattern formation.
  • Derivation of a scaling law based on force balance.

Main Results:

  • Particle-laden filaments form normal to the receding interface, distinct from viscous fingering.
  • At higher drainage rates, classic Saffman-Taylor instability is observed, enhanced by suspension viscosity.
  • A scaling law based on single-particle force balance reasonably predicts the onset of particle-scale instability.
  • The instability is confirmed to originate from individual particle dynamics.

Conclusions:

  • The drainage of particle suspensions can lead to novel interfacial instabilities.
  • Particle dynamics play a critical role in pattern formation at the microscale.
  • The derived scaling law provides a fundamental understanding of particle-driven interfacial instabilities.