Numerical modeling of cellular/dendritic array growth: Spacing and structure predictions

Journal Article · Fri Mar 01 04:00:00 EST 1996 · Metallurgical Transactions, A

DOI:https://doi.org/10.1007/BF02648950· OSTI ID:237772

Hunt, J D ^[1]; Lu, S Z ^[2]

---

1. Oxford Univ. (United Kingdom). Dept. of Materials
2. Michigan Technological Univ., Houghton, MI (United States)

A numerical model of cellular and dendritic growth has been developed that can predict cellular and dendritic spacings, undercoolings, and the transition between structures. Fully self-consistent solutions are produced for axisymmetric interface shapes. An important feature of the model is that the spacing selection mechanism has been treated. A small, stable range of spacings is predicted for both cells and dendrites, and these agree well with experiment at both low and high velocities. By suitable nondimensionalization, relatively simple analytic expressions can be used to fit the numerical results. These expressions provide an insight into the cellular and dendritic growth processes and are useful for comparing theory with experiment.

• Sponsoring Organization: USDOE
• OSTI ID: 237772
• Journal Information: Metallurgical Transactions, A, Journal Name: Metallurgical Transactions, A Journal Issue: 3 Vol. 27; ISSN 0360-2133; ISSN MTTABN
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
ALLOYS
ANISOTROPY
DENDRITES
DIFFUSION
FINITE DIFFERENCE METHOD
GRAIN GROWTH
HEAT FLUX
INTERFACES
LIQUID METALS
MATHEMATICAL MODELS
NUMERICAL ANALYSIS
SHAPE
SOLIDIFICATION
SURFACE ENERGY