A generalized Scheil-Pfann equation for a dynamical theory of a mushy zone
type: Item
instance of: scholarly article
title: A generalized Scheil-Pfann equation for a dynamical theory of a mushy zone
zbMATH Open document ID: 0654.73007
DOI: 10.1016/0020-7462(88)90029-7
author: R. N. Hills
author: Paul H. Roberts
published in: International Journal of Non-Linear Mechanics
publication date: 1988-01-01T00:00:00Z
review text: This paper develops a thermodynamically consistent theory of the freezing of a binary alloy in a region of mixed liquid and solid phase, possibly in relative motion. Attention is focussed on the cases when the liquid has the composition of the equilibrium liquidus, but in which the diffusion of one constituent through the other in the solid phase is negligible. An isolated system can not then attain complete thermodynamic equilibrium in a finite time, only a state of quasi-equilibrium in which the composition of the solid phase is not that of the solidus and, in general, is not even uniform in space. The complete theory must admit these quasi-equilibria as the steady final states of isolated systems. This is found to be so stringent a requirement that it almost completely decides the form that the theory must take. A simple physical situation is solved: one-dimensional freezing of a stagnant material. The Scheil- Pfann solution is recovered.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74A20
zbMATH DE Number: 4068377
zbMATH Keywords: freezing
zbMATH Keywords: binary alloy
zbMATH Keywords: mixed liquid and solid phase
zbMATH Keywords: relative motion
zbMATH Keywords: equilibrium liquidus
zbMATH Keywords: quasi-equilibria
zbMATH Keywords: steady final states of isolated systems
MaRDI profile type: Publication
full work available at URL: 0020-7462(88)90029-7
OpenAlex ID: W2068947300
description: scientific article; zbMATH DE number 4068377