Rayleigh-Taylor Instability for Immiscible Fluids of Arbitrary Viscosities: A Magnetic Levitation Investigation and Theoretical Model

Pierre Carlès, Zhibin Huang, Giovanni Carbone, and Charles Rosenblatt
Phys. Rev. Lett. 96, 104501 – Published 14 March 2006

Abstract

A magnetic field gradient was used to draw down a low density paramagnetic fluid below a more dense fluid in a Hele-Shaw cell. On turning off the field a Rayleigh-Taylor instability was observed in situ, and the growth of the most unstable wave vector was measured versus time. A theory for the instability that permits different viscosities for two immiscible fluids was developed, and good agreement was found with the experimental results. The technique of magnetic levitation promises to broaden significantly the accessible parameter space of gravitational interfacial instability experiments.

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  • Received 21 September 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.104501

©2006 American Physical Society

Authors & Affiliations

Pierre Carlès1,*, Zhibin Huang2, Giovanni Carbone2, and Charles Rosenblatt2,†

  • 1Laboratoire de Modélisation en Mécanique, CNRS, Université Paris 6, Case 162, 4 Place Jussieu, 75252 Paris Cedex 05, France
  • 2Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106, USA

  • *Electronic address: carles@ccr.jussieu.fr
  • Electronic address: rosenblatt@case.edu

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Issue

Vol. 96, Iss. 10 — 17 March 2006

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