Title of article :
MODELING OF COMBINED NATURAL/THERMOCAPILLARY CONVECTION FLOWS IN GERMANIUM MELT AT HIGH TEMPERATURES
Author/Authors :
MECHIGHEL, F LR3MI Laboratory - Mechanical Engineering Department - Science of Engineering Faculty - University of Annaba - Annaba, Algeria , ARMOUR, N Crystal Growth Laboratory - University of Victoria - Victoria, Canada , DOST, S Crystal Growth Laboratory - University of Victoria - Victoria, Canada
Abstract :
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
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics