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Hydrodynamic instabilities in cylindrical thermocapillary liquid bridges

Published online by Cambridge University Press:  26 April 2006

H. C. Kuhlmann  and
H. J. Rath
H. C. Kuhlmann
Affiliation:
Center of Applied Space Technology and Microgravity, ZARM – University of Bremen, 2800 Bremen 33, Germany
H. J. Rath
Affiliation:
Center of Applied Space Technology and Microgravity, ZARM – University of Bremen, 2800 Bremen 33, Germany
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Abstract

The hydrodynamic stability of steady axisymmetric thermocapillary flow in a cylindrical liquid bridge is investigated by linear stability theory. The basic state and the three-dimensional disturbance equations are solved by various spectral methods for aspect ratios close to unity. The critical modes have azimuthal wavenumber one and the most dangerous disturbance is either a pure hydrodynamic steady mode or an oscillatory hydrothermal wave, depending on the Prandtl number. The influence of heat transfer through the free surface, additional buoyancy forces, and variations of the aspect ratio on the stability boundaries and the neutral mode are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 247 , February 1993 , pp. 247 - 274
Copyright
© 1993 Cambridge University Press

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