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Updated: Dec 8, 2025

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Viscoplastic fingering in rectangular channels.

A Eslami1, S M Taghavi1

  • 1Department of Chemical Engineering, Université Laval, Québec, Québec Canada G1V 0A6.

Physical Review. E
|September 18, 2020
PubMed
Summary

We experimentally studied viscoplastic fluid fingering in rectangular channels. A yield stress-dependent capillary number and aspect ratio-dependent Bond number classify finger patterns and flow regimes, predicting finger width across various parameters.

Area of Science:

  • Fluid dynamics
  • Rheology
  • Multiphase flow

Background:

  • Viscous fingering is a key phenomenon in multiphase flow.
  • Understanding viscoplastic fluid behavior is crucial for applications like enhanced oil recovery and material processing.

Purpose of the Study:

  • To experimentally investigate viscous fingering of viscoplastic fluids in rectangular channels.
  • To identify dimensionless parameters that classify finger morphology and flow regimes.
  • To develop predictive models for finger width.

Main Methods:

  • Experimental study of viscoplastic fluid flow in rectangular channels.
  • Analysis of finger shape and flow patterns under varying conditions.
  • Derivation of dimensionless numbers (Capillary and Bond numbers) for regime classification.

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Main Results:

  • Identified yield stress-dependent capillary number (Ca*) and aspect ratio-dependent Bond number (Bo*) as key parameters.
  • Classified finger shapes into ramified and unified patterns.
  • Defined three flow regimes: yield stress, viscosity, and aspect ratio-buoyancy-dominated.
  • Provided transition boundaries for these regimes and proposed finger width prediction relations.

Conclusions:

  • Ca* and Bo* effectively classify viscoplastic fingering phenomena in rectangular channels.
  • The study offers a framework for predicting finger width and understanding flow regimes.
  • Results are applicable to a wide range of flow parameters and fluid rheologies.