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Solidification and Flow of a Binary Alloy Over a Moving Substrate

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Abstract

We study the solidification and flow of a binary alloy over a horizontally moving substrate. A situation in which the solid, liquid and mushy regions are separated by the stationary two-dimensional interfaces is considered. The self-similar solutions of the governing boundary layer equations are obtained, and their parametric dependence is analysed asymptotically. The effect of the boundary layer flow on the physical characteristics is determined. It is found that the horizontal pulling and the resulting flow in the liquid enhance the formation of the mushy region.

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Authors and Affiliations

  1. Institute of Geophysics, The Czech Academy of Sciences, 141 31, Prague 4, Czech Republic

    J. Kyselica

  2. Department of Applied Mathematics and Statistics, Faculty of Mathematics, Physics and Informatics, Comenius University, 842 48, Bratislava 4, Slovakia

    P. Guba & M. Hurban

  3. Earth Science Institute of the Slovak Academy of Sciences, 840 05, Bratislava 4, Slovakia

    P. Guba

Authors
  1. J. Kyselica
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  2. P. Guba
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  3. M. Hurban
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Corresponding author

Correspondence to J. Kyselica.

Additional information

This work was supported by the Slovak Research Council (VEGA 1/0319/15 and 2/0115/16) and the Slovak Research and Development Agency (APVV–14–0378).

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Kyselica, J., Guba, P. & Hurban, M. Solidification and Flow of a Binary Alloy Over a Moving Substrate. Transp Porous Med 121, 419–435 (2018). https://doi.org/10.1007/s11242-017-0971-4

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  • DOI: https://doi.org/10.1007/s11242-017-0971-4

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