Pinch-off transition in Marangoni-driven thin films.
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.
Münch
Andreas
A
Institut für Mathematik, HU Berlin, D-10099 Berlin, Germany.