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Journal ArticleDOI

Modeling of solid phase sedimentation during directional solidification in a side cooled cavity

TLDR
In this article, a numerical approach for modeling the multi-phase flow during an alloy solidification process is presented, where a fixed grid volume averaging technique has been used for solving mass, momentum, energy, and species equation while taking into account the solid phase advection and local remelting.
Abstract
Purpose – The purpose of this paper is to present a new numerical approach for modeling the multi‐phase flow during an alloy solidification process. In many solidification processes, advection of solid may have a dramatic effect on bulk convection field as well as on the solid front growth and hence on the macro‐segregation pattern. In the present work, a numerical model is developed to simulate directional solidification in presence of melt convection as well as solid advection in the form of sedimentation. A 2D cavity filled with hyper‐eutectic aqueous ammonium chloride solution (25 wt.% of ammonium chloride) being chilled from one of the side walls has been chosen as the model problem for the numerical simulation.Design/methodology/approach – A fixed grid volume averaging technique has been used for solving mass, momentum, energy, and species equation while taking into account the solid phase advection and local re‐melting. Two different criteria have been identified for the solid particles in the mush...

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Citations
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Journal ArticleDOI

Enthalpy porosity model for melting and solidification of pure-substances with large difference in phase specific heats

TL;DR: In this paper, a modified enthalpy porosity formulation is introduced to capture melting and solidification of pure substances, which is capable of predicting all pure substances including those with large difference in phase specific heats such as water and paraffin wax.
Journal ArticleDOI

Mechanism of flow reversal during solidification of an anomalous liquid

TL;DR: In this paper, the first-ever demonstration of flow reversal during bottom-up solidification of water using full-field thermal and flow measurements and its direct impact on the solidifying interface is presented.
Journal ArticleDOI

Thermal anisotropy in binary alloy solidification: An equivalent isotropic model

TL;DR: In this article, a continuum mixture model is proposed for phase change of binary alloy including the effect of thermal anisotropy, which is incorporated by an additional departure source in the conven...
References
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Book

Numerical heat transfer and fluid flow

TL;DR: In this article, the authors focus on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms.
Journal ArticleDOI

A fixed grid numerical modelling methodology for convection-diffusion mushy region phase-change problems

TL;DR: In this article, an enthalpy formulation based fixed grid methodology is developed for the numerical solution of convection-diffusion controlled mushy region phase-change problems, where the basic feature of the proposed method lies in the representation of the latent heat of evolution, and of the flow in the solid-liquid mushy zone, by suitably chosen sources.
Journal ArticleDOI

A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems—I. Model formulation

TL;DR: 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.
Journal ArticleDOI

A volume-averaged two-phase model for transport phenomena during solidification

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.
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