Dual role of gravity on the Faraday threshold for immiscible viscous layers

W. Batson, F. Zoueshtiagh, and R. Narayanan
Phys. Rev. E 88, 063002 – Published 2 December 2013

Abstract

This work discusses the role of gravity on the Faraday instability, and the differences one can expect to observe in a low-gravity experiment when compared to an earth-based system. These differences are discussed in the context of the viscous linear theory for laterally infinite systems, and a surprising result of the analysis is the existence of a crossover frequency where an interface in low gravity switches from being less to more stable than an earth-based system. We propose this crossover exists in all Faraday systems, and the frequency at which it occurs is shown to be strongly influenced by layer height. In presenting these results physical explanations are provided for the behavior of the predicted forcing amplitude thresholds and wave number selection.

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  • Received 15 January 2013

DOI:https://doi.org/10.1103/PhysRevE.88.063002

©2013 American Physical Society

Authors & Affiliations

W. Batson1,2,*, F. Zoueshtiagh2, and R. Narayanan1

  • 1Department of Chemical Engineering, University of Florida, Gainesville, Florida 32611, USA
  • 2Institut d'Electronique de Microelectronic et de Nanotechnologie (IEMN) UMR CNRS 8520, University of Lille 1, Ave Poincaré, CS 60069-59652 Villeneuve d'Ascq, France

  • *wbatson@gmail.com

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Vol. 88, Iss. 6 — December 2013

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