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Vortices and Stability in Superfluid Boundary Layers

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Quantized Vortex Dynamics and Superfluid Turbulence

Part of the book series: Lecture Notes in Physics ((LNP,volume 571))

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Abstract

Boundary layer flows are of critical importance to the motion and physics of a fluid flow. In superfluid helium II, the problem of boundary layer flow highlights a significant difference between the two fluid components that make up the current model of helium II: the difference in the boundary conditions. This two fluid model also has a fundamental effect on the stability of the flow, as one must consider the stability of both of the two fluid components. We describe superfluid vortex structures which remain stable in a laminar boundary layer, and discuss their effect on the boundary layer. We also calculate the stability characteristics of the plane Poiseuille flow of helium II, and have discovered a new unstable mode caused by mutual friction, that can dominate the stability characteristics of the flow.

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© 2001 Springer-Verlag Berlin Heidelberg

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Godfrey, S.P., Samuels, D.C., Barenghi, C.F. (2001). Vortices and Stability in Superfluid Boundary Layers. In: Barenghi, C.F., Donnelly, R.J., Vinen, W.F. (eds) Quantized Vortex Dynamics and Superfluid Turbulence. Lecture Notes in Physics, vol 571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45542-6_16

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  • DOI: https://doi.org/10.1007/3-540-45542-6_16

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42226-6

  • Online ISBN: 978-3-540-45542-4

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