Modelling of free boundary problems for phase change with diffuse interfaces
type: Item
instance of: scholarly article
title: Modelling of free boundary problems for phase change with diffuse interfaces
zbMATH Open document ID: 1200.80008
DOI: 10.1155/MPE.2005.309
author: Dipayan Sanyal
author: P. Ramachandra Rao
author: O. P. Gupta
published in: Mathematical Problems in Engineering
publication date: 2008-11-20T00:00:00Z
full work available at URL: https://eudml.org/doc/45310
review text: Summary: We present a continuum thermodynamical framework for simulating multiphase Stefan problem. For alloy solidification, which is marked by a diffuse interface called the mushy zone, we present a phase filed like formalism which comprises a set of macroscopic conservation equations with an order parameter which can account for the solid, liquid, and the mushy zones with the help of a phase function defined on the basis of the liquid fraction, the Gibbs relation, and the phase diagram with local approximations. Using the above formalism for alloy solidification, the width of the diffuse interface (mushy zone) was computed rather accurately for iron-carbon and ammonium chloride-water binary alloys and validated against experimental data from literature.
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 80M12
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76R50
zbMATH DE Number: 5369072
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5369072