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A nonexistence result for axially symmetric flows with constant angular velocities at infinity

Published online by Cambridge University Press:  14 November 2011

Alan R. Elcrat  and
David Siegel
Alan R. Elcrat
Affiliation:
Wichita State University
David Siegel
Affiliation:
New Mexico Institute of Mining and Technology
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Synopsis

If von Kármán's substitution is made in the Navier-Stokes equations, and boundary conditions corresponding to a flow in all of space with constant angular velocities at infinity are imposed, a boundary value problem analgous to those for flow above a rotating disk and between rotating disks is obtained. It is shown here that this problem has no solution.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 93 , Issue 3-4 , 1983 , pp. 229 - 231
Copyright
Copyright © Royal Society of Edinburgh 1983

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References

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