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Compact model for multi-phase liquid-liquid flows in micro-fluidic devices.

Fabien Jousse1, Guoping Lian, Ruth Janes

  • 1Unilever Corporate Research, Colworth House, Sharnbrook, Bedfordshire MK44 1LQ, UK. Fabien.Jousse@Unilever.com

Lab on a Chip
|May 26, 2005
PubMed
Summary

We developed a micro-channel flow model for immiscible fluids like oil and water. Small resistance differences cause significant fluid distribution errors, impacting mixing, but can be minimized by adjusting channel resistance.

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Area of Science:

  • Fluid Dynamics
  • Microfluidics
  • Chemical Engineering

Background:

  • Micro-channel networks are crucial for micro-reactors and lab-on-a-chip devices.
  • Accurate multiphase fluid distribution is essential for efficient mixing and reactions.

Purpose of the Study:

  • To develop and apply a compact model for laminar viscous multiphase fluid flow in micro-channel networks.
  • To analyze fluid distribution sensitivity and mixing efficiency in a Wheatstone bridge-like micro-reactor.

Main Methods:

  • Analytical solution of a compact flow model.
  • Computational modeling of fluid flow in a micro-channel network.
  • Simulation of two immiscible fluids (oil and water) in a Wheatstone bridge configuration.

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Main Results:

  • Fluid flow is highly sensitive to small differences in branch resistance, leading to significant distribution errors.
  • Viscosity differences, processing conditions, and channel geometry influence distribution errors.
  • Increasing upstream channel resistance minimizes distribution errors and improves mixing predictability.

Conclusions:

  • The developed model accurately predicts fluid distribution in micro-channel networks.
  • Strategies to minimize distribution errors, such as increasing upstream resistance, are identified.
  • Fluid-fluid interactions can create long transients, potentially useful for fluid logic operations.