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Numerical investigation of meniscus deformation and flow in an isothermal liquid bridge subject to

Numerical investigation of meniscus deformation and flow in an isothermal liquid bridge subject to.h

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1. Introduction
A comparatively new technique to introduce defined flow structures or to control timedependent convective regimes in crystal growth from the melt is the vibration of the solid–liquid
interface. Especially for growth arrangements with free melt surfaces like floating-zone growth,
the vibrating boundary generates surface flows away from the interface and therefore can be used
to counterbalance the flow due to the thermocapillary forces [1,2]. But the modeling of such a
floating-zone growth is very complex, and it is important to firstly consider a more fundamental
study of the vibration-driven flow inside an isothermal liquid bridge subject to vibrations. Nonlinear response of liquid bridges subjected to axial low-frequency vibrations is studied in Refs.
[3,4]. One-dimensional non-linear viscous model is developed in Ref. [5] to study streaming
generated in a long liquid bridge due to vibrations of an endwall. The present paper deals with the
effects of high-frequency vibrations w
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