A thin-film equation for viscoelastic liquids of Jeffreys type
- Rauscher, Markus
- Münch, Andreas
- Wagner, Barbara
- Blossey, Ralf
2010 Mathematics Subject Classification
- 76D08 76E17 74D05
2008 Physics and Astronomy Classification Scheme
- 83.60.Bc 47.50.+d 68.15.+e
- linear viscoelasticity, non-Newtonian fluid flows, lubrication approximation, interfacial instability
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. , the liquid rim profile in our model always shows oscillatory behaviour, contrary to that obtained in the former. Our finding supports recent conclusions, based on calculations for Newtonian liquids, that the monotonely decaying rim profiles are a consequence of large slip effects in thin polymer films.
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