@Article{fdmp.2006.002.153,
AUTHOR = {Y.R. Li, L. Peng, W.Y. Shi, N. Imaishi},
TITLE = {Convective Instability in Annular Pools},
JOURNAL = {Fluid Dynamics \& Materials Processing},
VOLUME = {2},
YEAR = {2006},
NUMBER = {3},
PAGES = {153--166},
URL = {http://www.techscience.com/fdmp/v2n3/33368},
ISSN = {1555-2578},
ABSTRACT = {The convective instabilities in semiconduc-tor or oxide melts, significantly affect the quality oflarge crystals grown from the melts by the Czochralskimethod. This paper reviewsour recent numerical stud-ies of thermal convection in annular pools of low-<i>Pr</i> sili-con melt and moderate-<i>Pr</i> silicone oil. The mechanismsof the convective instability are discussed and the criticalconditions for the onset of three-dimensional flow are de-termined. The results show that the hydrothermal wave,characterized by curved spokes, is dominant in a shallowthin pool. In a thick pool of the low-<i>Pr</i> silicon melt, thereappears a standing wave type of oscillatory longitudinalrolls, which moves in the azimuthal direction and looksvery similar to the hydrothermal waves. In deep poolsof moderate-<i>Pr</i> silicone oil, a three-dimensional steadyflow pattern, consistingof pairs of counter-rotating longi-tudinal rolls, arises, which corresponds to the Rayleigh-Benard instability},
DOI = {10.3970/fdmp.2006.002.153}
}