On thin or slender bodies

E O Tuck, Yvonne 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.

doi:10.1017/S1446181112000120

Keywords


slender-body theory, fluid mechanics, potential flow.

Full Text:

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DOI: http://dx.doi.org/10.21914/anziamj.v53i0.5630



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.