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  • Cited by 4
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Eral, H. B. ’t Mannetje, D. J. C. M. and Oh, J. M. 2013. Contact angle hysteresis: a review of fundamentals and applications. Colloid and Polymer Science, Vol. 291, Issue. 2, p. 247.


    Joanny, J F 1989. Kinetics of Spreading: Hele–Shaw Cell with Open Boundaries. Physica Scripta, Vol. T29, p. 270.


    Troian, S. M Herbolzheimer, E Safran, S. A and Joanny, J. F 1989. Fingering Instabilities of Driven Spreading Films. Europhysics Letters (EPL), Vol. 10, Issue. 1, p. 25.


    TSEBERS, A. and BLŪMS, E. 1988. LONG-RANGE MAGNETIC FORCES IN TWO-DIMENSIONAL HYDRODYNAMICS OF MAGNETIC FLUID PATTERN FORMATION. Chemical Engineering Communications, Vol. 67, Issue. 1, p. 69.


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  • Journal of Fluid Mechanics, Volume 163
  • February 1986, pp. 59-67

The motion of a viscous drop sliding down a Hele-Shaw cell

  • Kalvis M. Jansons (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112086002203
  • Published online: 01 April 2006
Abstract

The motion of a viscous drop in a vertical Hele-Shaw cell is studied in a limit where the effect of surface tension through contact-angle hysteresis is significant. It is found that a rectangular drop shape is a possible steady solution of the governing equations, although this solution is unstable to perturbations on the leading edge. Even though the unstable edge is one where a viscous fluid is moving into a less viscous fluid, in this case air, this is shown to be a special case of the well-known Saffman—Taylor instability. An experiment is performed with an initially circular drop in which it is observed that the drop shape becomes approximately rectangular except at the leading edge, where it becomes rounded and sometimes has a ragged appearance.

A drop sliding down a vertical Hele-Shaw cell is an example of a system where the action of surface tension is not always one of smoothing, since in this case it leads to the formation of right-angle corners at the back of the drop (rounded only slightly on the lengthscale of the gap thickness of the cell).

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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