1998/03/04 by Zhenquan Li, Li, Zhenquan, A. J. Roberts +1 · 1 citation
Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics and Heat Transfer #Fluid Dynamics and Thin Films #Fluid Dynamics and Turbulent Flows #Pattern Formation and Solitons (nlin.PS) #nlin.PS #patt-sol
paper · pdf · doi:10.48550/arxiv.patt-sol/9803001
arxiv created 1998/03/04 · openalex publication_date 1998/03/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Models and simulations of the flow of thin films of fluids have many important applications in industrial and natural processes. We consider the motion of a thin layer of an incompressible, Newtonian fluid over an arbitrary solid, stationary curved substrate. Earlier work by Roy, et al has modeled slow fluid flows in which inertia is negligible. However, in many applications a model expressed in terms of both the fluid layer thickness and the average lateral velocity is needed to resolve faster dynamics. Here we use centre manifold techniques to derive such a non-dimensional, approximate model of the three dimensional flow.