Experiments on surface tension driven flow in floating zone melting

Schwabe, D.; Scharmann, A.; Preißer, Felix; Oeder, R.

doi:10.1016/0022-0248(78)90387-1

Cited by 268 publications

(74 citation statements)

References 24 publications

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“…The interest in this field has been initiated by the need for understanding the hydrodynamical aspects of crystal growth in a low-gravity environment [1]. In solidification processes like the floating zone technique the existence of thermocapillary convection cells in the melt has been demonstrated experimentally [2]. It was shown later that the primary flow becomes unstable towards oscillatory instability [3].…”

Section: Introductionmentioning

confidence: 99%

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Buoyant-thermocapillary instabilities of differentially heated liquid layers

Mercier

Normand

1996

Physics of Fluids

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The stability of buoyant-thermocapillary-driven flows in a fluid layer subjected to a horizontal temperature gradient is analysed. Our purpose is the modelization of recent experimental results obtained for a fluid of Prandtl number Pr=7, by Daviaud and Vince [Phys. Rev. E, 4432 (1993)] who observed a transition between traveling waves and stationary rolls when the height of fluid is increased. Our model takes into account several effects which were examined separately in previous studies. The relative importance of buoyancy and thermocapillarity is controlled by the ratio W of Marangoni number to Rayleigh number. The fluid layer is bounded below by a rigid plane whose temperature varies linearly along the direction of the thermal gradient. A Biot number is introduced to describe heat transfer at the top free surface. Our stability analysis establishes the existence of a transition between stationary and oscillatory modes when W exceeds a value W0 which is function of the Biot number. Moreover, two types of oscillatory modes have been identified which differ by the range of variation of their critical parameters (wave number, frequency, angle of propagation) versus W .

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Section: Introductionmentioning

confidence: 99%

“…Surface tension s which acts at the liquid-air interface admits temperature variations approximated by the linear equation of state s = s0 -g (T -T0) (2) where g=-(ds/dT) is a positive constant. Otherwise, we shall assume a flat, non deformable interface which remains at rest.…”

Section: Introductionmentioning

confidence: 99%

Buoyant-thermocapillary instabilities of differentially heated liquid layers

Mercier

Normand

1996

Physics of Fluids

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“…(ii) Dynamical studies include the spin-up from rest: the dynamics of the liquid close to the edges when one of the disks starts to rotate (Da Riva & Meseguer 1978) and the movement due to surface-tension gradients induced by a temperature difference between both disks (Napolitano 1978;Schwabe et al 1978;Da Riva & Alvarez 1981) or a non-uniform heating of the interface (Wuest & Chun 1980). This paper is devoted to the hydrodynamics of cylindrical liquid bridges having slendernesses close to the static stability limit, subjected to axisymmetric disturbances keeping a constant volume.…”

Section: Introductionmentioning

confidence: 99%

The breaking of axisymmetric slender liquid bridges

Meseguer

1983

J. Fluid Mech.

119

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Liquids held by surface tension forces can bridge the gap between two solid bodies placed not too far apart from each other. The equilibrium conditions and stability criteria for static, cylindrical liquid bridges are well known. However, the behaviour of an unstable liquid bridge, regarding both its transition toward breaking and the resulting configuration, is a matter for discussion. The dynamical problem of axisymmetric rupture of a long liquid bridge anchored at two equal coaxial disks is treated in this paper through the adoption of one-dimensional theories which are widely used in capillary jet problems.

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“…The existence of a critical Marangoni number for the onset of the time-dependent asymmetric flow in high Prandtl number fluids has been established two decades ago [1]. Experiments show that for a liquid bridge of a given geometry, in the presence of sufficiently small temperature differences, the Marangoni convection is characterized by a steady, axisymmetric, toroidal flow pattern driven by the surface tension imbalance.…”

Section: Introductionmentioning

confidence: 99%