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

Prodyut Chakraborty (Department of Mechanical Engineering, Indian Institute of Science, Bangalore, India)
Pradip Dutta (Department of Mechanical Engineering, Indian Institute of Science, Bangalore, India)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Publication date: 1 November 2011

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 mushy zone to be mobile. These two criteria are represented by a critical solid fraction, and a critical velocity. Based on these two criteria, the mushy zone has been subdivided into two different regions namely, an immobile coherent zone consisting of packed equiaxed crystals and a mobile non‐coherent zone where the solid crystals are able to move.

Findings

The numerical results are compared with corresponding experimental observations.

Originality/value

The solid advection velocity and source terms dealing with solid velocity have been calculated using an explicit scheme, whereas the main conservation equations are solved using an implicit scheme.

Keywords

Citation

Chakraborty, P. and Dutta, P. (2011), "Modeling of solid phase sedimentation during directional solidification in a side cooled cavity", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 21 No. 8, pp. 913-934. https://doi.org/10.1108/09615531111177723

Publisher

:

Emerald Group Publishing Limited

Copyright © 2011, Emerald Group Publishing Limited

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