On a nonlinear Stefan problem arising in the continuous casting of steel
type: Item
instance of: scholarly article
title: On a nonlinear Stefan problem arising in the continuous casting of steel
zbMATH Open document ID: 0881.76099
DOI: 10.1007/BF01201828
author: Jim Hill
author: Yonghong Wu
published in: Acta Mechanica
publication date: 1998-01-15T00:00:00Z
review text: A mathematical model for description of the continuous casting process is presented. It incorporates energy conservation for liquid and solid phases and corresponding boundary conditions. The problem is reduced to the nonlinear Stefan problem. It is shown that the normalized pseudo steady state temperature can serve as an upper bound to the normalized actual temperature. Some numerical results are presented.
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 880743
zbMATH Keywords: energy conservation
zbMATH Keywords: boundary conditions
zbMATH Keywords: normalized pseudo-steady state temperature
zbMATH Keywords: upper bound to normalized actual temperature
MaRDI profile type: Publication
cites work: On numerical simulation of the continuous casting process
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cites work: Q3807602
cites work: On an integral formulation for moving boundary problems
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full work available at URL: https://doi.org/10.1007/bf01201828
OpenAlex ID: W2077853768
description: scientific article; zbMATH DE number 880743