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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
D. C. Samuels, R. J. Donnelly: Phys. Rev. Lett. 65, 187 (1990)
R. J. Donnelly: Quantized Vortices in Helium II (Cambridge University Press, 1991)
D. C. Samuels: Phys. Rev. B, 46, (1992)
S. P. Godfrey, D. C. Samuels: Phys. Rev. B, 61, 6 (2000)
B. J. Cantwell: Ann. Rev. Fluid Mech., 13, (1981) C. J. Baker: J. Fluid. Mech., 95 (1979) H. Makita et al: AIAA J. 27 (1989) R. M. Kelso, A. J. Smits: Phys. Fluids, 7 (1995) G. R. Offen, S. J. Kline: J. Fluid Mech.,70 (1975)
M. R. Smith, D. K. Hilton, W. W. Van Sciver: Phys. Fluids, 11 (1999)
R. J. Donnelly, A. C. Hollis-Hallett: Can. J. Phys., 33 (1955)
S. P. Godfrey, D. C. Samuels, C. F. Barenghi: Phys. Fluids, 13 983 (2001)
P. G. Drazin, W. H. Reid: Hydrodynamic Stability (Cambridge University Press, 1984)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/3-540-45542-6_16
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42226-6
Online ISBN: 978-3-540-45542-4
eBook Packages: Springer Book Archive