A thin-film equation for viscoelastic liquids of Jeffreys type

被引:0
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作者
M. Rauscher
A. Münch
B. Wagner
R. Blossey
机构
[1] Max-Planck-Institut für Metallforschung,ITAP
[2] Universität Stuttgart,Institute of Mathematics
[3] Humboldt University of Berlin,undefined
[4] Weierstrass Institute for Applied Analysis and Stochastics (WIAS),undefined
[5] Interdisciplinary Research Institute,undefined
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关键词
83.60.Bc Linear viscoelasticity; 47.50.+d Non-Newtonian fluid flows; 68.15.+e Liquid thin films;
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摘要
We derive a novel thin-film equation for linear viscoelastic media describable by generalized Maxwell or Jeffreys models. As a first application of this equation we discuss the shape of a liquid rim near a dewetting front. Although the dynamics of the liquid is equivalent to that of a phenomenological model recently proposed by Herminghaus et al. (S. Herminghaus, R. Seemann, K. Jacobs, Phys. Rev. Lett. 89, 056101 (2002)), the liquid rim profile in our model always shows oscillatory behaviour, contrary to that obtained in the former. This difference in behaviour is attributed to a different treatment of slip in both models.
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页码:373 / 379
页数:6
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