Pullin, D. I. (1978) Large-scale structure of unsteady self-similar rolled-up vortex sheets. Journal of Fluid Mechanics, 88 (3). pp. 401-430. ISSN 0022-1120. doi:10.1017/s0022112078002189. https://resolver.caltech.edu/CaltechAUTHORS:20181120-153059718
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Abstract
Two problems involving the unsteady motion of two-dimensional vortex sheets are considered. The first is the roll-up of an initially plane semi-infinite vortex sheet while the second is the power-law starting flow past an infinite wedge with separation at the wedge apex modelled by a growing vortex sheet. In both cases well-known similarity solutions are used to transform the time-dependent problem for the sheet motion into an integro-differential equation. Finite-difference numerical solutions to these equations are obtained which give details of the large-scale structure of the rolled-up portion of the sheet. For the semi-infinite sheet good agreement with Kaden's asymptotic spiral solution is obtained. However, for the starting-flow problem distortions in the sheet shape and strength not predicted by the leading-order asymptotic solutions were found to be significant.
Item Type: | Article | ||||||
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Additional Information: | © 1978 Cambridge University Press. (Received 22 September 1977 and in revised form 17 February 1978) The author wishes to thank Dr A. E. Perry for several valuable discussions. | ||||||
Issue or Number: | 3 | ||||||
DOI: | 10.1017/s0022112078002189 | ||||||
Record Number: | CaltechAUTHORS:20181120-153059718 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20181120-153059718 | ||||||
Official Citation: | Pullin, D. (1978). The large-scale structure of unsteady self-similar rolled-up vortex sheets. Journal of Fluid Mechanics, 88(3), 401-430. doi:10.1017/S0022112078002189 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 91095 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | George Porter | ||||||
Deposited On: | 20 Nov 2018 23:36 | ||||||
Last Modified: | 16 Nov 2021 03:38 |
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