Modelling Methodologies for Convection-Diffusion Phase-Change Problems
In recent years numerical simulation of phase-change problems have attracted much interest due to their significance for several technological process. Melting and solidification are typical examples of phase change met in the metallurgical industries or
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Series Editors: The Rectors Manuel Garcia Velarde - Madrid Jean Salen~on - Palaiseau Wilhelm Schneider - Wien
The Secretary General Bernhard Schrefier - Padua
Executive Editor Carlo Tasso - Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSESAND LECTURES - No. 449
PHASE CHANGE WITH CONVECTION: MODELLING AND VALIDATION
EDITEDBY TOMASZ A. KOWALEWSKI ACADEMY OF SCIENCES WARSAW DOMINIQUE GOBIN CAMPUS UNIVERSITAIRE ORSAY
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Springer-Verlag Wien GmbH
The publication of this volume was co-sponsored and co-financed by the UNESCO Venice Office - Regional Bureau for Science in Europe (ROSTE) and its content corresponds to a CISM Advanced Course supported by the same UNESCO Regional Bureau.
This volume contains 135 illustrations
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concemed specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 2004 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 2004
SPIN 10984598
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographicallimitations but it is hoped that they in no way distract the reader.
ISBN 978-3-211-20891-5 DOI 10.1007/978-3-7091-2764-3
ISBN 978-3-7091-2764-3 (eBook)
PREFACE Solid-liquid phase-change phenomena are present in a !arge number of industrial applications (materials processing, crystal growth, casting of meta! - matrix composites, heat storage, food conservation, cryosurgery) and natural processes (iceberg evolution, magma chambers, crust formation). It is generally recognized that the dynamics of such phase change processes are largely influenced by natural convection. Numerical simulation of these non-linear, moving boundary, thermal and fluid jlow problems is not a trivial task. The phenomena occurring during solidification of different materials or in different corifigurations are so diverse that no unique, simple description covering all ranges and scales is possible at the moment. Therefore, the modelling of phase change processes present in practical configurations requires the profound understanding of limitations of the existing physical and numerical models. Validation and verification of the numerical models before their implementation to practical industrial situations becomes an important issue if quantitative modelling of the real physical problems is a target. The CISM course on Phase Change with Convection (PCC02) given in Udine
