C. Nienhuser et al., Linear stability analysis of thermocapillary convection in liquid bridges and the energy budget of neutral perturbations, Z ANG MA ME, 80, 2000, pp. S697-S698
Citations number
1
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
As a model for the floating-zone technique the thermocapillary flow in a no
ncylindrical axisymmetric liquid bridge is investigated numerically. The st
ationary 2D flow can become 30 and/or oscillatory at high thermocapillary R
eynolds numbers, depending on the Prandtl number. The critical points are d
etermined by a linear stability analysis and the instability mechanisms are
investigated by a posteriori energy balances of the perturbations. In part
icular, the influence of the liquid bridge's shape on the linear stability
boundary and on the mechanisms is analyzed. A is shown that on Me one side
the principal instability mechanisms do not depend on the liquid bridge's s
hape but on the other side it influences the critical azimuthal wave number
.