One-dimensional solidification of supercooled melts
Font Martínez, Francesc
Myers, T. G.
Mittchell, Sara L.
Centre de Recerca Matemàtica

Imprint: Centre de Recerca Matemàtica 2012
Description: 20 p.
Abstract: In this paper a one-phase supercooled Stefan problem, with a nonlinear relation between the phase change temperature and front velocity, is analysed. The model with the standard linear approximation, valid for small supercooling, is first examined asymptotically. The nonlinear case is more difficult to analyse and only two simple asymptotic results are found. Then, we apply an accurate heat balance integral method to make further progress. Finally, we compare the results found against numerical solutions. The results show that for large supercooling the linear model may be highly inaccurate and even qualitatively incorrect. Similarly as the Stefan number β → 1&sup&+&/sup& the classic Neumann solution which exists down to β =1 is far from the linear and nonlinear supercooled solutions and can significantly overpredict the solidification rate.
Rights: L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: Creative Commons
Language: Anglès.
Series: Centre de Recerca Matemàtica: Prepublicacions del Centre de Recerca Matemàtica
Series: Prepublicacions del Centre de Recerca Matemàtica ; 1126
Document: article ; submittedVersion
Subject: Transformacions de fase (Física estadística) ; Similitud (Física) ; Matèria, Teoria cinètica de la

Adreça alternativa: https://hdl.handle.net/2072/205484


20 p, 315.2 KB

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Research literature > Preprints

 Record created 2017-07-13, last modified 2019-02-02



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