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PCC99, Phase Change with Convection: modelling and validation
June 24-26, 1999
European Science Foundation, Applied Mathematics for Industrial Flow Problems
Warsaw, Poland

Organizers
Tomasz Kowalewski, Fulvio Stella, Jerzy Banaszek, Janusz Szmyd

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FEM Analysis of Alloy Solidification Using the Anisotropic Porous Medium Model of the Mushy Zone
by
Jerzy Banaszek
Institute of Heat Engineering, Warsaw University of Technology, Poland
Coauthors: Piotr Furmański (Institute of Heat Engineering, Warsaw University of Technology, Poland)

Semi-implicit FEM scheme is used for two dimensional computer simulation of binary alloy solidification controlled by buoyancy forces and conduction. The computational algorithm is based on the combination of: (1) - the projection method to uncouple velocity and pressure calculations for incompressible fluid, (2)- the backward Euler and explicit Adams-Bashforth schemes to effectively integrate diffusion and advection in time, and (3) - an enthalpy-porosity approach to account for the latent heat effect on a fixed finite element grid. The focus of this paper is on the analysis of the impact that the anisotropy of both the permeability and heat conductivity can have on the flow structure and temperature field in the mushy zone. Example calculations are given for an aqueous ammonium chloride solution, which has well-established thermophysical properties and solidifies in manner typical of many metallic alloys.

Date received: May 26, 1999


Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caco-41.