MODELING OF COMBINED NATURAL/THERMOCAPILLARY CONVECTION FLOWS IN GERMANIUM MELT AT HIGH TEMPERATURES

A mathematical model for the description of combined natural/ thermocapillary convection melt flows in cylindrical (3D) geometry is developed. It is utilized to model germanium melt convective flows in an isothermal experimental crucible setup. This experimental setup is devised exclusively to study...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2018-01, Vol.8 (1A), p.193
Main Authors: Mechighel, F, Armour, N, Dost, S
Format: Article
Language:English
Subjects:
Computer simulation
Convection (Fluid dynamics)
Crucibles
Germanium
Mathematical models
Numerical analysis
Silicon
Thermocapillary convection
Two dimensional models
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Summary:A mathematical model for the description of combined natural/ thermocapillary convection melt flows in cylindrical (3D) geometry is developed. It is utilized to model germanium melt convective flows in an isothermal experimental crucible setup. This experimental setup is devised exclusively to study the dissolution phenomenon of silicon into germanium melt. In this system, the germanium melt is subjected to higher temperatures. Using a simplified axisymmetric (2D) model, numerical simulations are carried out to examine the combined natural/thermocapillary flows developing in the germanium melt. Pure thermocapillary and pure natural convective flows are also studied numerically.Keywords: Germanium melt, free surface, Marangoni convection, natural (thermal or buoyant) convection, mathematical modeling, numerical simulation.AMS Subject Classification: 76M10
ISSN:2146-1147
2146-1147