Long-wave models of thin film fluid dynamics

Details Long-wave models of thin film fluid dynamics Long-wave models of thin film fluid dynamics

1994-11-04

arxiv.org/abs/chao-dyn/9411001v1

Nonlinear Sciences

Chaotic Dynamics

170K postscript, 7 pages Keywords: long-wave approximation, thin fluid film, low-dimensional model, centre manifold

Scientific paper

Centre manifold techniques are used to derive rationally a description of the
dynamics of thin films of fluid. The derived model is based on the free-surface
$\eta(x,t)$ and the vertically averaged horizontal velocity $\avu(x,t)$. The
approach appears to converge well and has significant differences from
conventional depth-averaged models.

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