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Type: Journal article
Title: On thin or slender bodies
Author: Tuck, E.
Stokes, Y.
Citation: Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2012; 53(3):190-212
Publisher: Australian Mathematical Society
Issue Date: 2012
ISSN: 1446-1811
Statement of
E. O. Tuck and Y. M. Stokes
Abstract: This is a review of thin-body and slender-body theories, with indications of some new applications. Topics discussed include bodies with near-constant surface pressure, subsonic and supersonic aerodynamics, ship hydrodynamics, slender bodies in Stokes flow, slender footings in elastic media, and slender moonpools. Mathematical features of the thin- and slender-body approximations are also discussed, especially nonlocal convolution terms modelling three-dimensionality in the otherwise two-dimensional near field, end effects, and the role of the logarithm of the slenderness ratio. This review was presented by the first author as the IMA Lighthill Memorial Lecture at the British Applied Mathematics Colloquium (BAMC) 2004.
Keywords: slender-body theory
fluid mechanics
potential flow
Rights: © Australian Mathematical Society 2012
DOI: 10.1017/S1446181112000120
Published version:
Appears in Collections:Aurora harvest
Mathematical Sciences publications

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