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Thixoforming : Semi-solid Metal Processing

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210j 6 Modelling the Flow Behaviour of <strong>Semi</strong>-<strong>solid</strong> <strong>Metal</strong> Alloys<br />

Table 6.2 Results of spectrometric analysis for aluminium alloy A356.<br />

determined. With the help of image analysis, the grain density was deduced at each<br />

thermocouple. The accumulative density function was fitted to the n–DTmax plot and<br />

correspondingly the Gaussian curve was generated. The characteristic nucleation<br />

parameters obtained are summarized in Table 6.3.<br />

The nucleation parameters obtained, together with the experimental boundary<br />

conditions, were used to investigate the models provided within MeSES code<br />

numerically. An axisymmetric grid cell was constructed and the Eulerian multiphase<br />

approach implemented in FLUENT was applied. The simulation results<br />

exhibited good qualitative and quantitative agreement with the experimental results.<br />

6.3.3<br />

Process Simulation<br />

Element<br />

Si Fe Cu Mn Mg Zn Ni Cr Ti Ag Sr V Ga<br />

wt% 7.19 0.148 0.014 0.010 0.358 0.012 0.007 0.005 0.082 0.001 0.035 0.009 0.008<br />

Based on the previous simulation work of Wang et al. [46], a new 2D grid (Figure 6.44)<br />

was built with a finer mesh. Two <strong>solid</strong> zones (channel and container walls) and two<br />

fluid zones (channel and container domains) were employed. The thermophysical<br />

properties provided in Ref. [45] were utilized together with the boundary conditions<br />

from the experiments.<br />

The process variables during experiments and simulation were the inlet temperature,<br />

Ti, inletvelocityvi, channel wall temperature Tw(ch) and container wall<br />

temperature Tw(cont). Forinstance,ifvi ¼ 0.15 m s 1 , Ti ¼ 630 C, Tw(ch) ¼ 120 C<br />

and Tw(cont) ¼ 60 C, the calculated pouring time to fill the container was found to be<br />

4.3 s and, after that pouring time, pouring at the inlet is turned off. The rest of<br />

the metal over the channel is allowed to drain off for an additional 0.4 s to complete<br />

the container filling. After these two stages, simulation is continued in the<br />

container only up to 550 s. Figure 6.45 shows the resulting liquid fraction after<br />

a3.7sflow time.<br />

The profiles of temperature, <strong>solid</strong> fraction, grain density, grain diameter and solute<br />

concentration in the container after a <strong>solid</strong>ification time of 553 s are illustrated in<br />

Figure 6.46 . The results reveal the great macro-homogeneity of all quantities inside<br />

Table 6.3 Characteristic grain nucleation parameters for A356 aluminium alloy.<br />

Liquidus temperature ( C) DT N ( C) DT s ( C) n max (m 3 )<br />

614.6 7.889 0.346 2.17 · 10 11

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