FEM Analysis of Binary Dilute System Solidification Using the Anisotropic Porous Medium Model of a Mushy Zone

Jerzy Banaszek , Piotr Furmański

Abstract

Finite Element Method (FEM) calculations have been performed to address the problem of the influence of anisotropy of permeability and of thermal conductivity of a mushy region on a temporary flow pattern and temperature during solidification of binary mixtures. Computationally effective FEM algorithm is based on the combination of the projection method, the semi-implicit time marching scheme and the enthalpy-porosity model of the two-phase region. Example calculations are given for two different dilute solutions of ammonium chloride and water. The effect of permeability anisotropy considerably changes the shape of the mushy zone. Three different models of thermal conductivity, the first – based on a mixture theory, the second – fully anisotropic one and the third – the model of isotropic effective conductivity, have been analyzed and mutually compared. It has been found that the impact of the thermal conductivity anisotropy is visible only in the case when this property differs significantly in both phases.
Author Jerzy Banaszek (FPAE / IHE)
Jerzy Banaszek,,
- The Institute of Heat Engineering
, Piotr Furmański (FPAE / IHE)
Piotr Furmański,,
- The Institute of Heat Engineering
Journal seriesComputer Assisted Mechanics and Engineering Sciences, ISSN 1232-308X
Issue year2000
Vol7
No3
Pages341-362
Publication size in sheets1.05
ASJC Classification1706 Computer Science Applications; 2210 Mechanical Engineering; 2206 Computational Mechanics
Languageen angielski
Score (nominal)6
Score sourcejournalList
Publication indicators GS Citations = 6.0; Scopus SNIP (Source Normalised Impact per Paper): 2000 = 0.739
Citation count*6 (2020-08-25)
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