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Dynamic-wetting effects in finite-mobility-ratio Hele-Shaw flow.

S J Jackson1, D Stevens1, D Giddings1

  • 1Faculty of Engineering, Division of Energy and Sustainability, University of Nottingham, Nottingham, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 19, 2015
PubMed
Summary
This summary is machine-generated.

Dynamic wetting significantly alters fluid displacement in Hele-Shaw cells by delaying finger bifurcation and changing finger morphology. This study explores these effects in immiscible fluid flows, impacting interface dynamics.

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Area of Science:

  • Fluid dynamics
  • Interface phenomena
  • Multiphase flow

Background:

  • Immiscible fluid displacement in porous media is crucial in various scientific and industrial applications.
  • Hele-Shaw cells are widely used to study fluid instabilities and pattern formation.
  • Dynamic wetting effects, including trailing film formation, can significantly influence interface behavior.

Purpose of the Study:

  • To investigate the impact of dynamic wetting on immiscible displacement in a Hele-Shaw cell.
  • To analyze how trailing film formation affects pressure drop and interfacial dynamics.
  • To characterize the changes in finger bifurcation and morphology due to dynamic wetting.

Main Methods:

  • Utilizing a boundary element formulation to model nonlinear pressure drop.
  • Developing a Picard scheme for iterative prediction of interfacial velocity.
  • Simulating immiscible displacement under varying mobility ratios and capillary numbers.

Main Results:

  • Dynamic wetting delays the onset of finger bifurcation.
  • High capillary numbers can alter the fundamental mode of bifurcation, leading to different finger morphologies.
  • In low mobility ratios, finger interaction is reduced and breaking mechanisms are delayed.
  • In high mobility ratios, finger shielding is reduced, and competition between fingers is lessened.

Conclusions:

  • Dynamic wetting plays a critical role in shaping the outcome of immiscible fluid displacement.
  • The presence of trailing films modifies the pressure drop and influences the stability of fluid interfaces.
  • Understanding dynamic wetting is essential for predicting and controlling fingering patterns in Hele-Shaw flows.