Journal ArticleDOI
Dynamic solidification of a binary melt
Herbert E. Huppert,M. G. Worster +1 more
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The fundamental physics and fluid dynamics of a solidifying two-component system cooled from below is analyzed quantitatively in this paper, where theoretical results for the rate of growth of the solid are in good agreement with experimental measurements on crystallizing aqueous solutions.Abstract:
The fundamental physics and fluid dynamics of a solidifying two-component system cooled from below is analysed quantitatively Theoretical results for the rate of growth of the solid are in good agreement with experimental measurements on crystallizing aqueous solutions The results are applicable to the solidification of a wide variety of binary alloysread more
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Convection in mushy layers
TL;DR: In this paper, the authors present an account of various studies of buoyancy-driven convection in mushy layers, paying particular attention to the complex interactions between solidification and flow that lead to novel styles of convective behavior, including focusing of the flow to produce chimneys.
Journal ArticleDOI
Solidification of an alloy from a cooled boundary
TL;DR: In this article, a mathematical model for the region of dendritic or cellular growth which often forms during the solidification of alloys is presented, where the model treats the mixed phase (solid and liquid) as a continuum whose properties vary with the local volume fraction of solid.
Journal ArticleDOI
Instabilities of the liquid and mushy regions during solidification of alloys
TL;DR: In this article, two modes of compositional convection during solidification from below are uncovered using a linear-stability analysis: one is driven by buoyant residual fluid within a mushy layer, or porous medium, of dendritic crystals; the other, which we shall call the " boundary-layer mode " is associated with a narrow compositional boundary layer in the melt just above the mush-liquid interface.
Journal ArticleDOI
Compositional convection in a reactive crystalline mush and melt differentiation
Stephen Tait,Claude Jaupart +1 more
TL;DR: In this paper, the authors describe experiments on the directional solidification of aqueous ammonium chloride solutions, where the addition of small amounts of a polymerizing agent permits variation of the solution viscosity independently of thermal conditions, phase diagram, and permeability.
Journal ArticleDOI
The fluid mechanics of solidification
TL;DR: In this article, a review of the concepts involved in the fluid mechanics of solidification is presented, as well as quantitative calculations for the fluid motion, the rate of growth of solid and the evolution of both the thermal and the compositional fields in various geometries.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Book
Conduction of Heat in Solids
H. S. Carslaw,John Conrad Jaeger +1 more
TL;DR: In this paper, a classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems, including boundary value maximization.
Journal ArticleDOI
Instabilities and pattern formation in crystal growth
TL;DR: In this article, the authors examined several common modes of crystal growth and identified a few new theoretical ideas and a larger number of outstanding problems, including sidebranching and tip-splitting instabilities.
Book
Principles of Solidification
TL;DR: Solidification is the process by which a liquid is transformed into a crystalline solid as discussed by the authors, in which the solid that forms first is solvent rich as distinct from crystallisation, and the crystals that are formed are solute rich.
The Chemical Physics of Ice
TL;DR: In this paper, the water molecule and its properties are discussed, as well as the structure and energy of ordinary ice, other forms of ice, liquid water and freezing, point defects and lattice dynamics.