Abstract
A simplified theoretical model for the solidification interface shape prediction is introduced and tested. We linearised a coupled hydrodynamic-solidification problem about the state with a flat interface. In such a way we split the problem into a hydrodynamic part with a flat solid-liquid front and a solidification part with a calculated heat flux from the liquid phase. The method allows obvious conclusions on optimum heat conditions near the solidification interface providing its flatness and maximum pulling velocity at the same time. Comparison to the results by FLUENT package showed that the method provides a reasonable accuracy even for a noticeably deformed interface shape. Another part of the contribution deals with an influence of artificial swirling-recirculating flow due to a rotating magnetic field with an optional superimposed steady axial field or rotation of crucible. Estimates of necessary forcing are given and illustrated by numerical simulation. The limits of possibilities to control heatregime (consequently, the interface shape and pulling velocity) are discussed and illustrated.
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Grants, I., Gelfgat, Y.M. (1999). Effect of a Steady Magnetic Field and Imposed Rotation of Vessel on Heat and Mass Transfer in Swirling Recirculating Flows. In: Alemany, A., Marty, P., Thibault, J.P. (eds) Transfer Phenomena in Magnetohydrodynamic and Electroconducting Flows. Fluid Mechanics and Its Applications, vol 51. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4764-4_22
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DOI: https://doi.org/10.1007/978-94-011-4764-4_22
Publisher Name: Springer, Dordrecht
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