Some evidence for the existence and magnitude of a critical marangoni number for the onset of oscillatory flow in crystal growth melts

The Stability of a Thermocapillary-Buoyant Flow in a Liquid Bridge with Heat Transfer Through the Interface

“…However, when DT ¼ T h À T c exceeds some critical value DT cr , instability sets in and gives rise to a number of time-dependent three-dimensional flow regimes. It was first experimentally observed by Schwabe and Scharmann [1] and by Chun and Wuest [2].…”

Experimental study on the transition process to the oscillatory thermocapillary convections in a floating half zone

“…In the earlier studies with right cylindrical liquid bridges of large Prandtl number fluids, thermocapillary convection was often thought to transform directly from a steady and axisymmetric mode to oscillatory mode [9][10][11][12][13][14][15][16][17]. A mechanism for the onset of such oscillation is suggested as the hydrothermal instability characterized by traveling waves [18].…”

A simulation model of a floating half zone

“…1a, where a liquid bridge was floated between two co-axial rods with constant temperatures, and this model is named as the usual model of a floating half zone. The onset of oscillation in thermocapillary convection is most interesting due to its importance in both the research of hydrodynamic instability [4] and the application of materials processings [5][6][7][8]. The thermocapillary effect on the ground becomes relatively important in comparison with the buoyancy effect if the typical scale of the liquid bridge is decreased and a small floating half zone on the ground is extensively studied to simulate the thermocapillary process in a floating zone in a microgravity environment in the last two decades.…”