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Phys. Rev. Lett. 90, 126105 (2003) [4 pages]

Reverse Undercompressive Shock Structures in Driven Thin Film Flow

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Jeanman Sur1, Andrea L. Bertozzi2,1, and Robert P. Behringer1
1Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708
2Department of Mathematics, Duke University, Durham, North Carolina 27708

Received 6 June 2002; published 26 March 2003

We show experimental and computational evidence of a new structure: an undercompressive and reverse undercompressive shock for draining films driven by a surface tension gradient against gravity. The reverse undercompressive shock is unstable to transverse perturbations while the leading undercompressive shock is stable. Depending on the pinch-off film thickness, as controlled by the meniscus, either a trailing rarefaction wave or a compressive shock separates from the reverse undercompressive shock.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.126105
DOI:
10.1103/PhysRevLett.90.126105
PACS:
68.15.+e, 47.10.+g, 47.20.Ma, 68.08.Bc