Long-wave models of thin film fluid dynamics

1994/11/04 by A. J. Roberts, Roberts, A. J.
Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Characterization and Applications of Magnetic Nanoparticles #FOS: Physical sciences #Fluid Dynamics and Thin Films #Theoretical and Computational Physics #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9411001

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

arxiv created 1994/11/04 · openalex publication_date 1994/11/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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