Simulation of freckles during vertical solidification of binary alloys.
TLDR
In this article, a mathematical model of solidification that simulates the formation of channel segregates or freckles is presented, and the model is used to simulate the entire solidification process starting with the initial melt to the solidified cast.Abstract:
A mathematical model of solidification that simulates the formation of channel segregates or freckles is presented. The model simulates the entire solidification process starting with the initial melt to the solidified cast, and the resulting segregation is predicted. Emphasis is given to the initial transient, when the dendritic zone begins to develop and the conditions for the possible nucleation of channels are established. The mechanisms that lead to the creation and eventual growth or termination of channels are explained in detail and illustrated by several numerical examples. Predictions of the pattern and location of channels in different cooling situations are in good agreement with experimental observations.read more
Citations
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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.
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Interfacial conditions between a pure fluid and a porous medium : implications for binary alloy solidification
M. Le Bars,M. Grae Worster +1 more
TL;DR: In this article, the Stokes-Darcy-Brinkman model is applied to some analytically tractable flows through adjacent porous and pure-fluid domains and is compared systematically with the multiple-domain Stokes−Darcy model.
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Modelling of macrosegregation: applications and future needs
TL;DR: A review of macrosegregation models, with particular emphasis on their application to selected industrially relevant casting processes, is presented in this paper, where the successes and shortfalls of the models in predicting measured macrose segregation patterns are noted.
Journal ArticleDOI
Formation of macrosegregation by multicomponent thermosolutal convection during the solidification of steel
TL;DR: In this article, the formation of macrosegregation by multicomponent thermosolutal convection during the solidification of steel is simulated by simultaneously solving macroscopic mass, momentum, energy, and species conservation equations with full coupling of the temperature and concentrations through thermodynamic equilibrium at the solid/liquid interface.
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Mathematical Modeling of Transport Phenomena During Alloy Solidification
Christoph Beckermann,R. Viskanta +1 more
TL;DR: In this article, the effects of the solid structure and the interactions between the solid and liquid phases on a microscopic scale were incorporated into a (macroscopic) model of the transport phenomena occurring at the system scale.
References
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Journal ArticleDOI
Slow flow past periodic arrays of cylinders with application to heat transfer
A.S. Sangani,Andreas Acrivos +1 more
TL;DR: In this article, the average temperature difference between the bulk and the cylinders which are heated uniformly under conditions of small Reynolds and Peclet numbers is calculated for the slow flow past a square and a hexagonal array of cylinders using a somewhat nonconventional numerical method.
Journal ArticleDOI
Laminar viscous flow through regular arrays of parallel solid cylinders
J.E. Drummond,Mohammad Tahir +1 more
TL;DR: In this article, the Stokes equations of motion for a viscous fluid flowing either parallel or perpendicular to the axes of cylinders in square, rectangular, triangular and hexagonal arrays are solved by matching a solution outside one cylinder to a sum of solutions with equal singularities inside every cylinder of an infinite array.
Journal ArticleDOI
Permeability for flow of interdendritic liquid in columnar-dendritic alloys
TL;DR: Permeability data for the flow of interdendritic liquid in partially solid Pb−Sn and borneol-paraffin columnar-alloys are summarized in this article.
Journal ArticleDOI
The origin of freckles in unidirectionally solidified castings
TL;DR: In this paper, the origin of freckles during unidirectional solidification is studied in a transparent, low melting model system, 30 wt pct NH4C1-H2O.
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