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Microscopic-Macroscopic Modelling of Transport Phenomena during Solidification in Heterogeneous Systems

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Phase Change with Convection: Modelling and Validation

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 449))

Abstract

Microscopic-macroscopic approach to modelling of solidification in heterogeneous systems (the mushy zone of binary alloys, in manufacture of metal-matrix composites and in porous media) is addressed in the paper. Microscopic phenomena accompanying solidification and microscopic equations are presented. Averaging procedures (volume and ensemble averaging techniques) and their limitations are discussed. Macroscopic equations are derived and macroscopic phenomena described. Conditions for existence of local thermal and chemical equilibrium during solidification on the macroscopic scale are shown. Some examples of equilibrium and non-equilibrium solidification based on macroscopic approach are presented.

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Authors and Affiliations

  1. Institute of Heat Engineering, Warsaw University of Technology, Warsaw, Poland

    Piotr Furmański

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  1. Piotr Furmański
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Editors and Affiliations

  1. Academy of Sciences Warsaw, Poland

    Tomasz A. Kowalewski

  2. Campus Universitaire Orsay, France

    Dominique Gobin

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Furmański, P. (2004). Microscopic-Macroscopic Modelling of Transport Phenomena during Solidification in Heterogeneous Systems. In: Kowalewski, T.A., Gobin, D. (eds) Phase Change with Convection: Modelling and Validation. International Centre for Mechanical Sciences, vol 449. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2764-3_2

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  • DOI: https://doi.org/10.1007/978-3-7091-2764-3_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-20891-5

  • Online ISBN: 978-3-7091-2764-3

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