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Hydrodynamic instabilities in miscible fluids.

Domenico Truzzolillo1, Luca Cipelletti1

  • 1Laboratoire Charles Coulomb (L2C), UMR 5221 CNRS-Université de Montpellier, 4 F-34095 Montpellier, France.

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|December 15, 2017
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Summary
This summary is machine-generated.

Hydrodynamic instabilities in miscible fluids drive mixing in various applications. This review explores stabilizing mechanisms at fluid interfaces, particularly when effective interfacial tension is absent.

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Area of Science:

  • Fluid dynamics
  • Physics of interfaces

Background:

  • Hydrodynamic instabilities are crucial for mixing in natural phenomena and industrial applications, especially at low Reynolds numbers.
  • The behavior of instabilities in miscible fluids is linked to interface physics, similar to immiscible fluids, but with key differences regarding interfacial tension.

Purpose of the Study:

  • To review general mechanisms driving disturbance growth at miscible fluid boundaries.
  • To highlight conceptual problems arising from the lack of effective interfacial tension in linear stability analysis for miscible fluids.

Main Methods:

  • Review of existing literature on hydrodynamic instabilities in miscible and immiscible fluids.
  • Analysis of stabilizing mechanisms, including viscous dissipation and effective interfacial tension.

Main Results:

  • Disturbances in miscible fluids can grow indefinitely without a regularizing mechanism like interfacial tension.
  • The existence and role of interfacial stresses mimicking surface tension in miscible fluids remain debated.
  • Viscous dissipation is identified as a potentially relevant stabilizing mechanism.

Conclusions:

  • Stabilizing mechanisms are critical for controlling hydrodynamic instabilities in miscible fluids.
  • Further research is needed on effective, out-of-equilibrium interfacial tension in miscible systems.
  • Addressing the lack of effective interfacial tension is key for accurate mathematical modeling.