On steady flows with Lamb surfaces
type: Item
instance of: scholarly article
title: On steady flows with Lamb surfaces
zbMATH Open document ID: 0908.76020
DOI: 10.1016/S0020-7225(96)00084-5
author: Garrison Sposito
published in: International Journal of Engineering Science
publication date: 1999-03-18T00:00:00Z
review text: Lamb surfaces, which contain both stream lines and vorticity lines, are shown to exist for any smoothly-deforming continuum whose Eulerian vorticity is steady and is proportional to the \textit{curl} of the acceleration vector. These two conditions are realized in steady flows with material vorticity lines, for which Lamb surfaces provide a complete topological classification in terms of tori and cylinders when the flow domain is bounded.
Mathematics Subject Classification ID: 76B47
zbMATH DE Number: 1162164
zbMATH Keywords: geodesics
zbMATH Keywords: Hamilton's equations
zbMATH Keywords: Lamb-Stuart-Mezić-Wiggins equations
zbMATH Keywords: phase plane
zbMATH Keywords: variational principle
zbMATH Keywords: Poincaré-Cartan integral invariant
zbMATH Keywords: stream lines
zbMATH Keywords: vorticity lines
zbMATH Keywords: Eulerian vorticity
zbMATH Keywords: topological classification
zbMATH Keywords: tori
zbMATH Keywords: cylinders
MaRDI profile type: Publication
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full work available at URL: s0020-7225(96)00084-5
OpenAlex ID: W2017982612
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description: scientific article; zbMATH DE number 1162164