Published March 1981
| public
Journal Article
On a generalization of Kaden's problem
- Creators
- Pullin, D. I.
- Phillips, W. R. C.
Abstract
Kaden's problem of the roll-up of an initially planar semi-infinite vortex sheet with a parabolic distribution of circulation is extended to include vortex sheets exhibiting a general power law circulation distribution, resulting in the presence of a power law, and in one case a logarithmic-like, velocity-field singularity. Both semi-infinite and infinite initially plane sheets with this property are considered and the form of their roll-up in the similarity plane, into single and double-branched spirals respectively, is obtained numerically. Estimates of the Betz constant obtained from the solutions are found to be significantly different from values predicted by the Betz approximation.
Additional Information
© 1981 Cambridge University Press. (Received 3 January 1980 and in revised form 13 May 1980) This research was partially supported by the National Energy Research, Development and Demonstration Council of Australia under contract no. 9240.Additional details
- Eprint ID
- 91096
- Resolver ID
- CaltechAUTHORS:20181120-153059853
- 9240
- National Energy Research, Development and Demonstration Council (Australia)
- Created
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2018-11-20Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field