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2010
Conference Paper
Titel
General string theory for dynamic curved viscida with surface tension
Abstract
This work deals with the asymptotic derivation and numerical investigation of a model for the dynamics of curved inertial viscous fibres under surface tension, as they occur in rotational spinning processes. The resulting string model accounts for the inner viscous transport and places no restriction on either motion or shape of the fibre centre-line. The boundary conditions for the free end of the fibre yield a description for its temporal evolution, depending on the ratio of viscous and surface tension (capillary number). The behaviour of the fibre is studied numerically as function of the effects of viscosity, gravity, rotation and surface tension.