English

Long-wave models of thin film fluid dynamics

chao-dyn 2008-02-03 v1 Chaotic Dynamics

Abstract

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 η(x,t)\eta(x,t) and the vertically averaged horizontal velocity \avu(x,t)\avu(x,t). The approach appears to converge well and has significant differences from conventional depth-averaged models.

Keywords

Cite

@article{arxiv.chao-dyn/9411001,
  title  = {Long-wave models of thin film fluid dynamics},
  author = {A. J. Roberts},
  journal= {arXiv preprint arXiv:chao-dyn/9411001},
  year   = {2008}
}

Comments

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