Open Access

ARTICLE

On the Three-Dimensional Instability of Thermocapillary Convection in Arbitrarily Heated Floating Zones in Microgravity Environment

by A.Yu. Gelfgat¹, A. Rubinov², P.Z. Bar-Yoseph², A. Solan²

1 School of Mechanical Engineering, Faculty of Engineering, TelAviv University, Israel.
2 Computational Mechanics Laboratory, Faculty of Mechanical Engineering, Technion - Israel Institute of Technology

Fluid Dynamics & Materials Processing 2005, 1(1), 21-32. https://doi.org/10.3970/fdmp.2005.001.021

Abstract

The three-dimensional instability of the thermocapillary convection in cylindrical undeformable floating zones heated laterally is studied numerically. Different types of the boundary conditions, including radiation heating, linearized radiation and prescribed heat flux are used in the calculation. Stability diagrams showing the Prandtl number dependence of the critical Marangoni numbers that represent the thermocapillary forcing for different heating conditions are reported. It is shown that the primary instability of initially axisymmetric thermocapillary flows is defined mainly by the total amount of heat supplied through the heated side surface. The way in which the heat is supplied has a less significant effect on the onset of instability.

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