A theoretical explanation for possible temperature discontinuities across a macroscopically-sharp plane solidification front

Chakraborty, Suman ; Durst, Franz (2007) A theoretical explanation for possible temperature discontinuities across a macroscopically-sharp plane solidification front Physics Letters A, 366 (1-2). pp. 1-6. ISSN 0375-9601

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.physleta.2007.01.058

Abstract

This work aims to theoretically investigate the possible situations of temperature discontinuities prevailing across propagating plane front solidification interfaces. A generalization of interfacial conditions is proposed, which can accommodate finite macroscopic jumps in the interfacial temperature. This is achieved by implicitly accounting for two disparate and unresolved time-scales, which are respectively associated with the interfacial heat conduction and the molecular rearrangements that are necessary for phase transformation. Through the present theoretical estimates, possibilities of extending continuum-based formulations towards accommodating deterministic rates of plane front propagation in case of directional solidification of pure materials can be explored.

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