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Volume 753 - 25 August 2014

Journal of Fluid Mechanics Volume 753 - Issue -
Contents

Page 2 of 2

Papers

Corrigendum

Rapids

  • Instability of a gravity current within a soap film

  • Raymond E. Goldstein, Herbert E. Huppert, H. Keith Moffatt, Adriana I. Pesci
  • Published online by Cambridge University Press:
    21 July 2014, R1
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  • One of the simplest geometries in which to study fluid flow between two soap films connected by a Plateau border is provided by a catenoid with a secondary film at its narrowest point. Dynamic variations in the spacing between the two rings supporting the catenoid lead to fluid flow between the primary and secondary films. When the rings are moved apart, while keeping their spacing within the overall stability regime of the films, after a rapid thickening of the secondary film the excess fluid in it starts to drain into the sloped primary film through the Plateau border at which they meet. This influx of fluid is accommodated by a local thickening of the primary film. Experiments described here show that after this drainage begins the leading edge of the gravity current becomes linearly unstable to a finite-wavelength fingering instability. A theoretical model based on lubrication theory is used to explain the mechanism of this instability. The predicted characteristic wavelength of the instability is shown to be in good agreement with experimental results. Since the gravity current advances into a film of finite, albeit microscopic, thickness this situation is one in which the regularization often invoked to address singularities at the nose of a thin film is physically justified.

Front Cover (OFC, IFC) and matter

  • FLM volume 753 Cover and Front matter

  • Published online by Cambridge University Press:
    05 August 2014, pp. f1-f4
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Back Cover (OBC, IBC) and matter

  • FLM volume 753 Cover and Back matter

  • Published online by Cambridge University Press:
    05 August 2014, pp. b1-b8
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