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Impulsive motions of the floating zone
Da Riva de la Cavada, Ignacio and Manzano, Domingo R.
Impulsive motions of the floating zone.
"PCH PhyiscoChemical Hydrodynamics", v. 2
A set of problems concerning the behaviour of a suddenly disturbed ideal floating zone is considered.
Mathematical techniques of asymptotic expansions arc used to solve these problems. It is seen that many already available solutions, most of them concerning liquids enclosed in cavities, will be regarded as starting approximations which are valid except in the proximity of
the free surface which laterally bounds the floating zone.
In particular, the problem of the linear spin-up of an initially cylindrical floating zone is considered in some detail. The presence of a recircuiating fluid pattern near the free surface is detected. This configuration is attributed to the interplay between Coriolis forces and the
azimuthal component of the viscous forces.
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