Analysis of the Mushy Region in Conduction-convection Problems with Change of Phase

Date

1997-01-30

Authors

O'Leary, Mike

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

A conduction-convection problem with change of phase is studied, where convective motion of the liquid affects the change of phase. The mushy region is the portion of the system to which temperature and enthalpy do not assign a phase, solid or liquid. In this paper we show that the enthalpy density remains constant in time almost everywhere in the mushy region.

Description

Keywords

Conduction, Convection, Free boundary, Stefan problem, Mushy region

Citation

O'Leary, M. (1997). Analysis of the mushy region in conduction-convection problems with change of phase. <i>Electronic Journal of Differential Equations, 1997</i>(04), pp. 1-14.

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Attribution 4.0 International

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