Near field asymptotic formulation for dendritic growth due to buoyancy

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Abstract

The paper is devoted to the asymptotic analysis for a mathematical model of physical dendritic crystal growth problem. A theoretical framework governing the flow field and the temperature field under the effect of buoyancy-driven convection in the tip region of the dendritic growth is studied. By assuming the asymptotic expansions as the gravity parameter Gr → 0, the governing equations and the corresponding interface boundary conditions for the leading-order and the first-order expansions have been formulated. Copyright © 2016 Research India Publications.
Original languageEnglish
Pages (from-to)437-442
JournalAdvances in Theoretical and Applied Mathematics (ATAM)
Volume11
Issue number4
Publication statusPublished - 2016

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Citation

Yee, T. L. (2016). Near field asymptotic formulation for dendritic growth due to buoyancy. Advances in Theoretical and Applied Mathematics, 11(4), 437-442.

Keywords

  • Asymptotic expansion
  • Dendritic growth
  • Buoyancy effect