1Theoretical Physics Laboratory, Physics institute, USTHB, B.P.32 El-Alia, 16111 Algiers (Algeria).
2Applied Sciences Department, University of Quebec at Chicoutimi, G7H2B1 Chicoutimi (QC), Canada.
3Simulation's Laboratory, UDTS, 2Bd Frantz Fanon, Alger Gare, Algiers (Algeria).
This paper treats Flow and heat transfer in the meltl, during Czochralski growth of silicon, in the presence of magnetic field. Most of thermal models for Cz crystal growth are based on the assumption of conduction dominance, neglecting convective heat transfer in the melt. In this paper we have examined different flows caused by natural convection and thermocapillary convection (Marangoni flow). The axisymmetric Navier-Stokes and energy equations, with the Boussinesq approximation, have been discretised by means of finite volume procedure and the SIMPLER algorithm is used to treat the coupled velocity-pressure. Flow patterns were studied for Pr=0.02 and aspect ratio A=2, for large range combination of Grashof (Gr), Marangoni (Ma), and Hartman (Ha) numbers. Isotherms and streamlines are illustrated. For a fixed Grashof number, the heat transfer mechanism changes from natural convection dominant mode to thermocapillary convection mode as the Marangoni number increases. It is also shown that natural convection is strongly affected with magnetic fields.
Natural convection, Thermocapillary convection, Magnetic field, Silicon, and Finite volume
