Titlebook: Interactive Dynamics of Convection and Solidification; S. H. Davis,H. E. Huppert,M. G. Worster Book 1992 Springer Science+Business Media D

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Rayleigh-Marangoni Bilayer Convection in Liquid Encapsulated Crystal Growth,erature field and cause convection of the ‘Marangoni’ type and this in turn is affected by buoyancy driven convection or Rayleigh convection. We calculate the onset conditions for flow in the presence of a lower solidifying interface and consider regions of low gravity. We show that the stability de

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Effect of Modulated Taylor-Vortex Flows on Crystal-Melt Interfaces, growth of a metallic alloy or doped semiconductor, the distribution of solute in the growing crystal is determined by the prevailing conditions near the crystal-melt interface; convection in the melt and interface instability may both produce solute inhomogeneities that result in an inferior crysta

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Weakly Nonlinear Morphological Instability Analysis of a Sphere Crystallizing from an Undercooled Msituations involving crystal growth and the motion of phase boundaries. Nonlinear analyses, based mostly on weakly nonlinear expansion techniques, are much less well-understood. These techniques focus attention on the time evolution of a specific planform. We describe briefly a weakly nonlinear stab

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Flow-Induced Spatio-Temporal Dynamics in Directional Solidification,gical instabilities are still present, depending upon the parameter range. Linear theory shows that the flow selects a unique neutrally stable state. This state consists of travelling waves when the flow destabilizes the morphology. Nonlinear theory and numerical simulations demonstrate that the flo

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Nonlinear Analysis of Morphological Interactions between Flow and Interface Shape in the Directional model for binary alloy solidification. The calculations of the states that evolve from the convective branch demonstrate the development of large amplitude deflections in the melt/solid interface that are similar to the cellular interface shapes caused by morphological instability.