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Double Diffusive Convection during Solidification at a Vertical Wall

  • Chapter
Structure and Dynamics of Partially Solidified Systems

Part of the book series: NATO ASI Series ((NSSE,volume 125))

Abstract

Transient solidification of a confined volume of a homogeneous binary solution at vertical wall produces horizontal gradients of solute concentration and temperature in the liquid. For solutions in which the density varies with the concentration of both of these properties, the potential exists for a double-diffusive (thermosolutal) convective flow to develop in the vicinity of the solidification front. The boundary layer motion contributes to the establishment of a vertical density (compositional and thermal) stratification of the liquid in the interior of the enclosure, and the subsequent onset of double-diffusive layering. A mathematical model is developed to describe the time-dependent solidification process and double-diffusive interactions in the liquid phase. Preliminary results of the calculations are compared to experimental observations of the solidification behavior of aqueous sodium carbonate solutions with initial compositions on both sides of the eutectic.

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Authors and Affiliations

  1. Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, USA

    M. E. Thompson & J. Szekely

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  1. M. E. Thompson
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  2. J. Szekely
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Editor information

Editors and Affiliations

  1. Florida State University, Tallahassee, FL, 32306, USA

    David E. Loper (Professor of Mathematics) (Professor of Mathematics)

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© 1987 Martinus Nijhoff Publishers, Dordrecht

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Thompson, M.E., Szekely, J. (1987). Double Diffusive Convection during Solidification at a Vertical Wall. In: Loper, D.E. (eds) Structure and Dynamics of Partially Solidified Systems. NATO ASI Series, vol 125. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3587-7_4

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  • DOI: https://doi.org/10.1007/978-94-009-3587-7_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8104-7

  • Online ISBN: 978-94-009-3587-7

  • eBook Packages: Springer Book Archive

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