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The Structure of Free Vertical Shear Layers in a Rotating Fluid and the Motion Produced by a Slowly Rising Body

Moore, D. W. and Saffman, P. G. (1969) The Structure of Free Vertical Shear Layers in a Rotating Fluid and the Motion Produced by a Slowly Rising Body. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 264 (1156). pp. 597-634. ISSN 1364-503X. https://resolver.caltech.edu/CaltechAUTHORS:20151120-153944595

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Abstract

This paper considers axial motion in a rapidly rotating fluid of small viscosity. It is shown that solutions for the structure of vertical free shear layers must be allowed to be singular at the points where they receive fluid from a rising or spinning axisymmetric body. The possible types of singularities are elucidated by the use of similarity solutions and an hypothesis is introduced to limit their strength. Three particular cases of axially bounded motion are considered in detail; the split disk, the rising disk and the rising sphere. The hypothesis is shown to lead to a unique solution for the Stewartson layers. For the rising body, a Wiener-Hopf problem, which is independent of the body shape, must be solved for the central part of the Stewartson layers.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1098/rsta.1969.0036DOIArticle
http://rsta.royalsocietypublishing.org/content/264/1156/597PublisherArticle
http://www.jstor.org/stable/73599JSTORArticle
Additional Information:© 1969 The Royal Society. Communicated by K. Stewartson, F.R.S. Received 28 October 1968; Published 18 September 1969.
Issue or Number:1156
Record Number:CaltechAUTHORS:20151120-153944595
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20151120-153944595
Official Citation:The Structure of Free Vertical Shear Layers in a Rotating Fluid and the Motion Produced by a Slowly Rising Body D. W. Moore, P. G. Saffman Phil. Trans. R. Soc. Lond. A 1969 264 597-634; DOI: 10.1098/rsta.1969.0036. Published 18 September 1969
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:62308
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:23 Nov 2015 19:15
Last Modified:03 Oct 2019 09:17

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