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Controlling the electrostatic Faraday instability using superposed electric fields

Sebastian Dehe1, Maximilian Hartmann1, Aditya Bandopadhyay2, and Steffen Hardt1,*

  • 1Fachgebiet Nano- und Mikrofluidik, Fachbereich Maschinenbau, TU Darmstadt, 64287 Darmstadt, Germany
  • 2Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721302, India

  • *Corresponding author: hardt@nmf.tu-darmstadt.de
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Phys. Rev. Fluids 7, L082002 – Published 24 August, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.L082002

Abstract

When the interface between a dielectric and a conducting liquid is excited by an oscillatory electric field, electrostatic Faraday waves can be induced. Here, we study the response of the interface to an ac electric field, which is superposed by either a second ac field of different frequency, or by a dc field. An algorithm based on light refraction at the fluidic interface is used to obtain the spatiotemporal response of the Faraday waves, and the critical voltage corresponding to onset of instability, the interfacial oscillation frequency, and the dominant wavelengths are determined. The influence of the mixing ratio, which denotes the relative amplitudes of the different components of the driving signal, is analyzed, and the experimental results are compared with theoretical predictions. For ac/ac driving, gradual variations of the mixing ratio can induce a jump of the pattern wavelength, which is a result of the transition from harmonic to a subharmonic oscillation. For ac/dc driving, the interface oscillates either harmonically or subharmonically, and the response wavelength can be tuned continuously by adjusting the admixture of the dc component. For both driving modes, the experiments show good agreement with theory.

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References (47)

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Phys. Rev. Fluids 7, L082002– Published 24 August, 2022
  • Received 11 April 2022
  • Accepted 19 July 2022
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