Article information

1999 , Volume 4, ¹ 3, p.8-15

Andreev V.K.

On the stability of axisymmetric thermocapillary motions

The deformation of cylindrical layers imposed to thermocapillary forces is studied under the conditions close to weightlessness. The corresponding axisymmetric solutions describe thermocapillary motions nearby the critical points. With that there occur spacial stationary flows. Instability of a convective stationary motion in a cylindrical layer is studied numerically. The simulation of a float-zone in the form of cylindrical layer allows study not only a finite phase when the whole zone is melted but the intermediate stage also. Among the important results that emerge from this analysis is the fact that with decrease solid radius of thickness layer there occurs an expansion of the instability domain in the direction of short waves.

[full text] Classificator Msc2000:
*76D45 Capillarity (surface tension)
76E09 Stability and instability of nonparallel flows
80A20 Heat and mass transfer, heat flow

Keywords: short wave instability, cylindrical float-zone, axial flow, thermocapillary forces, hot wall, cold wall

Author(s):
Andreev Viktor Konstantinovich
Dr. , Professor
Position: Head of Departament
Office: Institut Computing Simulation of SB RAS
Address: 660036, Russia, Krasnoyarsk
Phone Office: (3912) 49 47 61
E-mail: andr@icm.krasn.ru


Bibliography link:
Andreev V.K. On the stability of axisymmetric thermocapillary motions // Computational technologies. 1999. V. 4. ¹ 3. P. 8-15
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