Stability of thermocapillary flow in cylindrical liquid bridges: Rotation of the hot disk

Authors
Lee, YS Kuhlmann, HC Rath, HJ Chun, CH
Citation
Ys. Lee et al., Stability of thermocapillary flow in cylindrical liquid bridges: Rotation of the hot disk, Z ANG MA ME, 81, 2001, pp. S503-S504
Citations number
2
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
81
Year of publication
2001
Supplement
3
Pages
S503 - S504
Database
ISI
SICI code
0044-2267(2001)81:<S503:SOTFIC>2.0.ZU;2-Y
Abstract
The thermocapillary pow ill a differentially heated cylindrical liquid brid ge under steady rotation of the hot disk is considered in the limit of zero capillary number. Steady pour states and their three-dimensional stability are calculated numerically. It is shown that the vortex breakdown caused b y the rotation is strongly affected by the thermocapillary flow. A linear s tability analysis reveals that the most dangerous perturbations are oscilla tory with azimuthal wavenumber m = 1 or m = 2 depending on the parameters.