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Non-linear, drag-free flow over a submerged semi-elliptical body

✍ Scribed by L. K. Forbes

Book ID
104620024
Publisher
Springer
Year
1982
Tongue
English
Weight
426 KB
Volume
16
Category
Article
ISSN
0022-0833

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✦ Synopsis

Two-dimensional steady flow of an ideal fluid with a free surface over a semi-elliptical body attached to the bottom of a stream is considered. A numerical method is presented for computing the values of the ellipse length at which the non-linear wave train normally present downstream of the body vanishes, and the semi-elliptical body therefore experiences no wave resistance. These special ellipse lengths are shown to be such strong functions of the ellipse height that the predictions of linearized theory are grossly inadequate in general.

πŸ“œ SIMILAR VOLUMES

On the effects of non-linearity in free-
On the effects of non-linearity in free-surface flow about a submerged point vortex
✍ L. K. Forbes πŸ“‚ Article πŸ“… 1985 πŸ› Springer 🌐 English βš– 698 KB

Two-dimensional free-surface flow about a point vortex in a stream of infinite depth is investigated. The non-linear problem is formulated in terms of an integrodifferential equation on the exact, unknown location of the free surface, and this equation is then solved numerically. The non-linear resu