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Thixoforming : Semi-solid Metal Processing

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of (a) an isothermal and (b) a non-isothermal filling experiment at three different<br />

times.<br />

Under isothermal conditions, the surface of the flow front is relatively smooth. At<br />

the point where the flow direction changes from vertical to horizontal, the material<br />

temporarily detaches from the die walls (Figure 6.41a). In the non-isothermal filling<br />

process, the material forms a less smooth surface (Figure 6.41b). At the beginning,<br />

the semi-<strong>solid</strong> alloy flows through the vertical part of the die as a thin jet with almost<br />

no contact with the die walls. It reaches the upper wall of the die earlier than in the<br />

isothermal case. The contour of the flow front leads to the conclusion that the <strong>solid</strong><br />

fraction in this area is rather low. Starting at the inflow to the vertical duct, the hot<br />

material <strong>solid</strong>ifies at the colder walls, which causes a reduction in the free crosssection.<br />

Hence the flow velocity rises and a jet is formed. Additionally, the pressure<br />

drop increases, which leads to a higher degree of segregation.<br />

The observed results were compared with numerical simulations. Figure 6.42<br />

shows the simulated <strong>solid</strong> fraction and the flow front in the lower vertical duct for<br />

both isothermal and non-isothermal cases. The difference in the shape of the flow<br />

front for isothermal and non-isothermal simulation is comparable to the experimental<br />

results. It can also be seen that <strong>solid</strong>ification occurs in contact with the cold<br />

walls and that the thickness of the <strong>solid</strong>ified layer increases during the die filling.<br />

Figure 6.43 shows the influence of the <strong>solid</strong>ification on the velocity field in this<br />

region. Due to the small free cross-section, the degree of segregation is considerably<br />

large. In the simulation, material with a low <strong>solid</strong> content flows through the vertical<br />

duct and fills the horizontal part. This corresponds to the measured low <strong>solid</strong><br />

content in the horizontal duct. With the optimized set of model parameters, the<br />

simulated flow front and the predicted segregation agree qualitatively with experimental<br />

data.<br />

Figure 6.42 Numerical results: (a) isothermal simulation and (b)<br />

non-isothermal simulation with <strong>solid</strong>ification effects near the die<br />

walls. The dotted lines indicate the growth of the <strong>solid</strong> layer<br />

thickness during the filling.<br />

6.2 Numerical Modelling of Flow Behaviourj207

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