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Interface and Transport Dynamics pp 121–135Cite as

Density Effects and Fluid Flow in Phase-field Models

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 32))

Abstract

In this paper we discuss a method to incorporate hydrodynamic effects into phase-field models for the solidification of both pure substances and binary alloys. We start from a generalised thermodynamic potential with squared gradient terms for the associated fields; the condition of local positive entropy production is then utilised to derive a set of equations which drive the system towards equilibrium. The models are numerically solved in one dimension; the effects of the flow field on the growth dynamics are presented and discussed.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica e Fisica, Nazionale di Fisica della Materia, Universita’ di Camerino, and Istituto, Via Madonna delle Carceri, I-62032, Camerino, Italy

    Massimo Conti

Authors
  1. Massimo Conti
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Editor information

Editors and Affiliations

  1. Fachbereich Chemietechnik, Universität Dortmund, Emil-Figge-Str. 70, 44227, Dortmund, Germany

    Heike Emmerich

  2. Fachhochschule Karlsruhe, Moltkestr. 30, 76133, Karlsruhe, Germany

    Britta Nestler

  3. Physik von Transport und Verkehr, Universität Duisburg-Essen, Lotharstr. 1, 47048, Duisburg, Germany

    Michael Schreckenberg

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© 2003 Springer-Verlag Berlin Heidelberg

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Conti, M. (2003). Density Effects and Fluid Flow in Phase-field Models. In: Emmerich, H., Nestler, B., Schreckenberg, M. (eds) Interface and Transport Dynamics. Lecture Notes in Computational Science and Engineering, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07969-0_10

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  • DOI: https://doi.org/10.1007/978-3-662-07969-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07320-5

  • Online ISBN: 978-3-662-07969-0

  • eBook Packages: Springer Book Archive

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