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.
|Journal||Advances in Theoretical and Applied Mathematics (ATAM)|
|Publication status||Published - 2016|
CitationYee, T. L. (2016). Near field asymptotic formulation for dendritic growth due to buoyancy. Advances in Theoretical and Applied Mathematics, 11(4), 437-442.
- Asymptotic expansion
- Dendritic growth
- Buoyancy effect