| About this Abstract |
| Meeting |
2021 TMS Annual Meeting & Exhibition
|
| Symposium
|
Frontiers in Solidification Science VIII
|
| Presentation Title |
Shapes of Dendritic Tips at Small and Large Undercoolings |
| Author(s) |
Andrew Kao, Liubov V Toropova, Dmitri V Alexandrov, Peter K Galenko |
| On-Site Speaker (Planned) |
Andrew Kao |
| Abstract Scope |
This paper investigates the shapes of dendritic tips occurring in undercooled pure systems in the absence of convection. Analytical treatment shows, circular/globular shape appears in limiting cases of small and large Péclet numbers. A parabolic/paraboloidal shape describes the tip regions of dendrites whereas a fractional power law defines a shape behind their tips in the case of low/moderate Péclet number. The parabolic/paraboloidal and fractional power law shapes are sewed together in the present work to describe the dendritic shape in a broader region adjacent to the dendritic tip. Such a generalised law is in good agreement with the parabolic/paraboloidal and fractional power laws of dendritic shapes. A special case of the angled dendrite is considered and analysed in addition. Using the enthalpy method for numerical solutions we test and compare analytical results with the data of computational modelling on dendritic growth in pure undercooled liquids. |
| Proceedings Inclusion? |
Planned: |