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A note on the viscous diffusion of rolled vortex sheets
Published online by Cambridge University Press: 19 April 2006
Abstract
It is well known that vortex sheets are diffused by viscosity. For a plane sheet this diffusion is described by a linear diffusion equation. Here we consider a rolled vortex sheet, and show that the viscous diffusion of the vorticity concentrated at the turns of the sheet, when they are very closely spaced, can also be described by a linear equation, in appropriately transformed variables.
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- © 1979 Cambridge University Press
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