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On the effects of non-linearity in free-surface flow about a submerged point vortex

โœ Scribed by L. K. Forbes

Publisher
Springer
Year
1985
Tongue
English
Weight
698 KB
Volume
19
Category
Article
ISSN
0022-0833

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โœฆ Synopsis

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 results are compared with the predictions of linearized theory and, for positive circulation, it is found that the latter may under-estimate the drag force significantly. For negative circulation, the linearized theory grossly over-predicts the value of the wave resistance, which apparently even becomes zero in a limiting configuration.

๐Ÿ“œ SIMILAR VOLUMES

Variable viscosity effects on the vortex
Variable viscosity effects on the vortex instability of free convection boundary layer flow over a horizontal surface in a porous medium
โœ Jiin-Yuh Jang; Jin-Sheng Leu ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 626 KB

The role of temperature-dependent viscosity is studied in the Row and vortex instability of a heated horizontal free convection boundary layer flow in a saturated porous medium. For an isothermal surface, similarity solutions are found to exist for viscosity variation expressed as a general function