Journal ArticleDOI
A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems—I. Model formulation
W.D. Bennon,Frank P. Incropera +1 more
TLDR
In this article, a set of continuum conservation equations for binary, solid-liquid phase change systems is presented. But these equations have been cast into forms amenable to clear physical interpretation and solution by conventional numerical procedures.About:
This article is published in International Journal of Heat and Mass Transfer.The article was published on 1987-10-01. It has received 896 citations till now. The article focuses on the topics: Mixture theory & Continuum (measurement).read more
Citations
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Journal ArticleDOI
Probabilistic modelling of microstructure formation in solidification processes
TL;DR: In this article, a new approach to the modelling of grain structure formation in solidification processes is proposed based upon a two-dimensional cellular automata technique, the model includes the mechanisms of heterogeneous nucleation and of grain growth.
Journal ArticleDOI
A volume-averaged two-phase model for transport phenomena during solidification
Jun Ni,Christoph Beckermann +1 more
TL;DR: In this article, a basic model of the transport phenomena occurring during solidification of multicomponent mixtures is presented, based on a two-phase approach, in which each phase is treated separately and interactions between the phases are considered explicitly.
Journal ArticleDOI
The modelling of heat, mass and solute transport in solidification systems
TL;DR: Three limiting cases are identified which result in one-phase models of binary systems of binary alloy solidification and each of these models can be readily implemented in standard single phase flow numerical codes.
Journal ArticleDOI
A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems. II: Application to solidification in a rectangular cavity
W.D. Bennon,Frank P. Incropera +1 more
TL;DR: In this article, a newly developed continuum model has been used with a well-established control-volume-based, finite-difference scheme to investigate solidification of a binary, aqueous ammonium chloride solution in a rectangular cavity.
Journal ArticleDOI
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.
References
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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
Analysis of Multidimensional Conduction Phase Change Via the Enthalpy Model
N. Shamsundar,Ephraim M Sparrow +1 more
TL;DR: In this article, the enthalpy model for multidimensional phase change problems in media having a distinct phase change temperature is demonstrated, and subsequent numerical applications of the model are carried out.
Analysis of multidimensional conduction phase change via the enthalpy model.
N. Shamsundar,Ephraim M Sparrow +1 more
TL;DR: In this article, the enthalpy model for multidimensional phase change problems in media having a distinct phase change temperature is demonstrated, and subsequent numerical applications of the model are carried out.
Journal ArticleDOI
A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems. II: Application to solidification in a rectangular cavity
W.D. Bennon,Frank P. Incropera +1 more
TL;DR: In this article, a newly developed continuum model has been used with a well-established control-volume-based, finite-difference scheme to investigate solidification of a binary, aqueous ammonium chloride solution in a rectangular cavity.
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