Author(s)

Ch. Charach & B. Zaltzman

Abstract

Interfacial kinetics and pressure-transition temperature effects and several planar solidification problems Ch. Charach, B. Zaltzman Center for Energy and Environmental Physics, J. Blaustein Institute for Desert Research, Ben-Gurion University of the Negev, Sede-Boger Campus 84993, Israel ABSTRACT Continuum models, that generalize the classical Ste- fan setup for a pure substance by incorporating in- terfacial kinetics and pressure-transition tempera- ture effects, are considered. Several planar solidi- fication problems, classical solutions of which are either singular, or do not exist within the Stefan formulation, are addressed within the above conti- nuum models. Asymptotic and numerical solutions for these problems are developed. The dynamics of these solidification processes is discussed. INTRODUCTION The classical Stefan problem, as stated in Carslaw & Jaeger [1], is the simplest continuum model of so- lidification in a pure substance. It treats the so-

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