Pinch-Off Transition in Marangoni-Driven Thin Films

Andreas Münch
Phys. Rev. Lett. 91, 016105 – Published 3 July 2003

Abstract

We present a mathematical model and analysis for the pinch-off transition as observed in dip-coating experiments at the base of thin liquid films driven up a vertical plate by a thermally induced surface tension gradient with a counteracting gravitational force. Our results show that this transition gives rise to a complex new wave structure involving a nonclassical, reverse undercompressive shock wave.

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  • Received 14 April 2002

DOI:https://doi.org/10.1103/PhysRevLett.91.016105

©2003 American Physical Society

Authors & Affiliations

Andreas Münch

  • Institut für Mathematik, HU Berlin, D-10099 Berlin, Germany

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Issue

Vol. 91, Iss. 1 — 4 July 2003

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