Mathematics
Scientific paper
Aug 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995adspr..16...59f&link_type=abstract
Advances in Space Research (ISSN 0273-1177), vol. 16, no. 7, p. (7)59-(7)65
Mathematics
1
Capillary Flow, Convective Flow, Crystallization, Heat Transfer, Magnetic Fields, Microgravity, Oscillations, Analysis (Mathematics), Doped Crystals, Kelvin-Helmholtz Instability
Scientific paper
The numerical investigation of thermocapillary convection and heat and mass transfer under fluid crystallization has been carried out for one-layer fluid column and for two-layer systems of rectanglular form with crystallization of one of layers. The dependence of dopant distribution inhomogeneity in melt on phase boundary has been obtained for Pr = 0.023 and 1 and Ma = 1-105. The effect of constant magnetic field on micro- and macrosegregation of dopant in growing crystals is studied under action of thermocapillary convection and vibration. Primary attention is given the oscillatory regime of thermocapillary convection and its effects on dopant distribution. By way of illustrating as it should be solved the transition problem to oscillatory regime it was shown that oscillatory regime of thermal buoyancy convection is associated with Kelvin-Helmholz instability.
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