Long-wave models of thin film fluid dynamics

A. J. Roberts

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arXiv · chao-dyn/9411001

Long-wave models of thin film fluid dynamics

A. J. Roberts

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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 $η(x,t)$ 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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A. J. Roberts. 1994-11-04. Long-wave models of thin film fluid dynamics. https://arxiv.org/abs/chao-dyn/9411001

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