TY - EJOU
AU - Hamimid, S.
AU - A.Amroune,
TI - Marangoni-Natural Convection in Liquid Metals in the Presence of a Tilted Magnetic Field
T2 - Fluid Dynamics \& Materials Processing
PY - 2010
VL - 6
IS - 4
SN - 1555-2578
AB - The Navier-Stokes and energy equations are numerically solved to investigate two-dimensional convection (originating from the combined effect of buoyancy and surface tension forces) in a liquid metal subjected to transverse magnetic fields. In particular, a laterally heated horizontal cavity with aspect ratio (height/width) =1 and Pr=0.015 is considered (typically associated with the horizontal Bridgman crystal growth process and commonly used for benchmarking purposes). The effect of a uniform magnetic field with different magnitudes and orientations on the stability of the two distinct convective solution branches (with a single-cell or two-cell pattern) of the steady-state flows is investigated. The effects induced by increasing values of the Rayleigh and Hartmann numbers on the heat transfer rate are also discussed.
KW - Numerical modeling
KW - semiconductor melt
KW - magnetic field suppression
KW - thermocapillary convection
KW - solidification
DO - 10.3970/fdmp.2010.006.369