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Summary

This chapter applies to bodies that are small compared to the wave lengths, of dimensions similar or smaller than the wave amplitude. As a result separation cannot be neglected and semi-empirical methods are usually applied to formulate the wave and current loading. The Reynolds number is introduced and the different flow regimes, for a circular cylinder in current, are illustrated. The Morison equation is introduced and applied to the wave loading upon cylinders. Experimental values of the inertia and drag coefficients, vs the Reynolds and Keulegan-Carpenter numbers, are presented. The deficiencies of the Morison equations, in complex flows, are emphasized. Alternatives such as the independent flow-field formulation, or wake models, are introduced. The oscillatory lift force, in steady current, is introduced and the Strouhal number and reduced velocity are defined.

This paper is devoted to an analysis of vortex-nucleationfor a Ginzburg-Landau functional withdiscontinuous constraint. This functional has been proposedas a model for vortex-pinning, and usuallyaccounts for the energyresulting from the interface of two superconductors. Thecritical applied magnetic field for vortex nucleation is estimated inthe London singular limit,and as a by-product, results concerning vortex-pinning andboundary conditions on the interface are obtained.

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4 - Wave and Current Loads on Slender Bodies

Summary

Magnetic vortices for a Ginzburg-Landau type energywithdiscontinuous constraint

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2 results

4 - Wave and Current Loads on Slender Bodies

Summary

Magnetic vortices for a Ginzburg-Landau type energywithdiscontinuous constraint