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Flow and stability of helium II between concentric cylinders

Published online by Cambridge University Press:  21 April 2006

Russell J. Donnelly  and
Michelle M. Lamar
Russell J. Donnelly
Affiliation:
Institute of Theoretical Science and Department of Physics, University of Oregon, Eugene, OR 97403, USA
Michelle M. Lamar
Affiliation:
Institute of Theoretical Science and Department of Physics, University of Oregon, Eugene, OR 97403, USA
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Abstract

We discuss our present knowledge of the flow and stability of helium II between concentric cylinders. The flow problem for helium II leads us to consider the formation of quantized vortices in the uniform rotation of helium II in an open bucket as well as quantized circulation states and vortices in a rotating annulus. We then consider how to treat the first appearance of vortices in the presence of shear, which allows us to characterize the basic flow which must be examined for stability. The results suggest an explanation for heretofore unexplained experiments. Future directions for research on the stability of helium II are suggested.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 186 , January 1988 , pp. 163 - 198
Copyright
© 1988 Cambridge University Press

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