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Corner Flows in Free Liquid Films

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Show simple item record Stocker, Roman Hosoi, A.E. 2005-03-28T18:47:53Z 2005-03-28T18:47:53Z 2004-08-24T18:47:53Z
dc.description.abstract A lubrication-flow model for a free film in a corner is presented. The model, written in the hyperbolic coordinate system ξ = x² – y², η = 2xy, applies to films that are thin in the η direction. The lubrication approximation yields two coupled evolution equations for the film thickness and the velocity field which, to lowest order, describes plug flow in the hyperbolic coordinates. A free film in a corner evolving under surface tension and gravity is investigated. The rate of thinning of a free film is compared to that of a film evolving over a solid substrate. Viscous shear and normal stresses are both captured in the model and are computed for the entire flow domain. It is shown that normal stress dominates over shear stress in the far field, while shear stress dominates close to the corner. en
dc.format.extent 2587476 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.relation.ispartofseries 04-P-02
dc.subject corner en
dc.subject hyperbolic coordinates en
dc.subject lubrication theory en
dc.subject thin film en
dc.title Corner Flows in Free Liquid Films en
dc.type Preprint en

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