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Chilling Tendency and Chill of Cast Iron

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E. Fraś et al:<strong><strong>Chill</strong>ing</strong> <strong>Tendency</strong> <strong>and</strong> <strong>Chill</strong> <strong>of</strong> <strong>Cast</strong> <strong>Iron</strong> 181<br />

graphite nodules were characterized by Raleigh distributions<br />

[14] so the volumetric nodule count, N, could<br />

be related to the planar nodule count, NnF, using the<br />

Wiencek equation [15]<br />

N<br />

3<br />

NF<br />

= (16)<br />

f<br />

where fgr is the volume fraction <strong>of</strong> graphite at room<br />

temperature, fgr≈0.11-0.14.<br />

3 Results <strong>and</strong> Discussion<br />

3.1 Flake graphite cast iron<br />

The experimentally determined ∆Tm <strong>and</strong> N were used<br />

with [16,17]<br />

Case<br />

No.<br />

td<br />

s<br />

gr<br />

⎛ b ⎞<br />

N = N exp −<br />

⎜<br />

⎝ ∆Tm<br />

⎠ ⎟<br />

∆Tsc/℃<br />

(17)<br />

Table 2 Experimental <strong>and</strong> calculated results<br />

Nucleation coefficients<br />

Ns/cm −3<br />

I/1 — 35.2 1.6×10 5<br />

I/2 0.06 51.1 6.1×10 6<br />

I/3 0.20 52.3 6.8×10 6<br />

I/4 0.40 52.3 4.4×10 6<br />

I/5 0.60 51.5 5.4×10 6<br />

I/6 0.80 53.0 1.3×10 6<br />

I/7 1.00 52.9 8.4×10 5<br />

to determine the nucleation coefficients Ns <strong>and</strong> b by<br />

statistical methods (shown in Table 2). In all cases, the<br />

correlation coefficients were high (0.86-0.99) so the re-<br />

lationship between N <strong>and</strong> ∆Tm described by Eq. (17) is<br />

in good agreement with the experimental evidence.<br />

The nucleation coefficients Ns <strong>and</strong> b can be related to a<br />

dimensionless time t = t/ t , where t is the time calcu-<br />

d<br />

r<br />

lated from the instant in which the inoculant was intro-<br />

duced into the melt <strong>and</strong> tr<br />

is the time when the observed<br />

changes in the cell count were negligible (tr=25 min).<br />

b/℃<br />

Note: Mean temperature (just after pouring) <strong>of</strong> wedge Ti ≈ 1270℃, n=0.877<br />

The chilling tendency, CT, <strong>and</strong> the total width <strong>of</strong> the<br />

chill, W, can be estimated from Eqs. (2) <strong>and</strong> (4) as<br />

functions <strong>of</strong> the chemical composition <strong>of</strong> the cast iron,<br />

the nucleation coefficients, the mean initial temperature<br />

<strong>of</strong> wedge, Ti, the wedge size coefficients n in the<br />

note <strong>of</strong> Table 2, <strong>and</strong> thermophysical data in Table 1.<br />

The results in Table 2 show that the theoretical predictions<br />

agree well with the experimental results.<br />

3.2 Ductile cast iron<br />

The experimental data for ductile iron ∆Tm <strong>and</strong> N can<br />

be used with Eq. (17) to calcutate the melt nucleation<br />

coefficients, Ns <strong>and</strong> b, listed in Table 3. The correlation<br />

coefficients for all the melts are quite high (0.84-0.98).<br />

It is not surprising that the nucleation coefficients Ns<br />

<strong>and</strong> b for each melt differ. However, in each case, N<br />

( )<br />

−3<br />

N = 6.5 −0.8 t − 5.3 t × 10 cm ,<br />

2 6<br />

s d d<br />

b= (96.9 + 122.6 t − 59.2 t ) ℃ (18)<br />

Measured<br />

total width <strong>of</strong><br />

chill (mm)<br />

d<br />

Calculated<br />

total width <strong>of</strong><br />

chill (mm)<br />

2<br />

d<br />

CT/( s 1/2 ·℃ –1/3 )<br />

76.8 7.9 8.8 1.10<br />

104 3.3 3.6 0.43<br />

119 3.6 3.6 0.44<br />

135 4.0 4.1 0.50<br />

154 4.5 5.4 0.65<br />

152 4.8 5.2 0.63<br />

162 5.5 5.8 0.71<br />

<strong>and</strong> ∆Tm are related as in Eq. (17), thus confirming that<br />

the theory is in good agreement with the experimental<br />

results.<br />

Table 3 Nucleation coefficients, temperature ranges, ∆T sc,<br />

<strong>and</strong> chilling tendencies, CT, for graphite<br />

Melt<br />

Nucleation coefficients<br />

No. Ns/cm −3<br />

1 4.13×10 7<br />

2 2.95×10 8<br />

3 5.69×10 7<br />

4 4.01×10 7<br />

5 4.24×10 7<br />

6 5.16×10 7<br />

7 4.85×10 7<br />

b/℃<br />

Note: CT is calculated by Eq. (7).<br />

∆Tsc/ ℃ CT/(s 1/2 ·℃ –1/3 )<br />

58 59.7 1.14<br />

100 51.9 0.90<br />

60 56.9 1.09<br />

42 58.9 1.07<br />

20 61.2 0.90<br />

20 60.9 0.84<br />

43 59.2 1.00

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