Table 1 Parameters used in this paper.
Parameter | Symbol | Units | Value | Ref. |
|---|---|---|---|---|
Liquidus temperature of pure aluminum | TP | K | 933.5 | Estimated |
Eutectic temperature | TE | K | 850.1 | Estimated |
Initial Si concentration | \(C^0\) | Wt% | 8.5 | \ |
Diffusion coefficient of Si in liquid | \(D_{Si}^L\) | m2 s−1 | 1.1E-5exp(−5696/T) | |
Diffusion coefficient of Si in solid | \(D_{Si}^S\) | m2 s−1 | 2.02E-4exp(−16069/T) | |
Partition coefficient of Si | k | \ | 0.117 | |
The degree of anisotropy of the surface energy | ε | \ | 0.03 | Estimated |
The degree of the kinetic anisotropy | δ | \ | 0.4 | Estimated |
Interface kinetic coefficient | μSi | m s−1 K−1 | 6.0E-6 | Estimated |
Gibbs–Thomson coefficient | Γ | m K | 1.7E-7 | |
Si concentration in Si | \(C^{Si}\) | Wt% | 99.99 | Estimated |