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Influence of capillarity and gravity on confined Faraday waves

S. V. Diwakar1,*, Vibhor Jajoo2, Sakir Amiroudine2, Satoshi Matsumoto3, Ranga Narayanan4,†, and Farzam Zoueshtiagh5,‡

  • 1Engineering Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore 560064, India
  • 2Université de Bordeaux, Institut de Mécanique et d'Ingénierie-TREFLE, UMR CNRS 5295, 16 Avenue Pey-Berland, Pessac Cedex 33607, France
  • 3ISS Science Project Office, Japan Aerospace Exploration Agency, 2-1-1 Sengen, Tsukuba, Ibaraki 305-8505, Japan
  • 4Department of Chemical Engineering, University of Florida, Gainesville, Florida 32611, USA
  • 5Université de Lille, CNRS, ECLille, ISEN, Université de Valenciennes, UMR 8520 - IEMN, F-59000 Lille, France

  • *diwakar@jncasr.ac.in
  • ranga@ufl.edu
  • farzam.zoueshtiagh@univ-lille1.fr

Phys. Rev. Fluids 3, 073902 – Published 17 July, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.073902

Abstract

Experiments characterizing the influence of gravity and interfacial tension on Faraday instability in immiscible, confined fluid layers are presented. The variation in interfacial tension was obtained by controlling the temperature of a suitable binary fluid pair while the influence of gravity was analyzed through a series of terrestrial and microgravity (parabolic flight) experiments. These experiments confirm the existence of a crossover frequency, on either side of which gravity plays opposing roles. The current experiments also reveal that the neutral stability curves under Earth's gravity drift toward lower frequencies as the temperature of the liquid pair approaches its upper consolutal value, i.e., the temperature of complete miscibility. Such drifts in the low frequency range are shown to occur primarily due to the reduction in density difference between the layers, whereas at very high frequencies they are controlled by the lowering of interfacial tension. In the absence of gravity, the Faraday waves are characterized by larger wave numbers, and, as in terrestrial conditions, the instability thresholds at high frequencies increase with an increase of temperature, i.e., reduction in interfacial tension value. This surprising stabilization originates from the lowering of the critical wavelength that leads to increased viscous dissipation.

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