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Singular behavior of microfluidic pulsatile flow due to dynamic curving of air-fluid interfaces

Pamela Vazquez-Vergara1,2, Ulises Torres-Herrera1, Luis F. Olguin2, and Eugenia Corvera Poiré1,3,*

  • 1Departamento de Física y Química Teórica, Facultad de Química, Universidad Nacional Autónoma de México, 04510 Ciudad de México, Mexico
  • 2Laboratorio de Biofisicoquímica, Facultad de Química, Universidad Nacional Autónoma de México, 04510 Ciudad de México, Mexico
  • 3UBICS Institute of Complex Systems, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain

  • *Author to whom correspondence should be addressed: eugenia.corvera@gmail.com
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Phys. Rev. Fluids 6, 024003 – Published 10 February, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.024003

Abstract

Pulsatile pressure gradients are widely present in microfluidic multiphase systems where the movement of fluids is affected by the presence of fluid-fluid interfaces. We present a simple theoretical model that incorporates dynamic interfacial curvatures produced as a response to pulsatile external forcing. Our equations make evident a singular character of the dynamics at low frequencies, due to surface tension. Analytical solution of the model shows the emergence of a resonant behavior for the dynamic permeability. We have designed and implemented microfluidic experiments to observe both the low-frequency dynamics and the resonance. We have studied a fluid slug whose length was chosen in order to look for resonances as predicted by our theoretical model, in the range of operational frequencies of our piezoelectric actuator. We have obtained the experimental dynamic permeability for water and a 70.0% glycerol solution in water and observed agreement with theoretical findings. Our model, validated by experiments, allows us to understand differences of several orders of magnitude in the amplitude of flow velocity at low frequencies, between systems with and without interfaces.

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Phys. Rev. Fluids 6, 024003– Published 10 February, 2021
  • Received 23 October 2020
  • Accepted 13 January 2021
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