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Optimization and Computational Fluid Dynamics - Department of ...

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254 Marco Manzan, Enrico Nobile, Stefano Pieri <strong>and</strong> Francesco Pinto<br />

10<br />

8<br />

f/f<br />

0 6<br />

4<br />

2<br />

1 1.1 1.2 1.3 1.4 1.5 1.6 1.7<br />

Nu/Nu<br />

0<br />

Fig. 8.16 Two distinct Pareto front for the different type <strong>of</strong> geometries<br />

10<br />

8<br />

f/f<br />

0 6<br />

4<br />

2<br />

1 1.1 1.2 1.3 1.4 1.5 1.6 1.7<br />

Nu/Nu<br />

0<br />

Fig. 8.17 Overlapping the solutions, leading to a single Pareto front<br />

dominance applied to both subsets <strong>of</strong> design shows there are clearly two<br />

fronts made <strong>of</strong> completely different geometries that overlap. From Fig. 8.17,<br />

it is clear that the unfiltered front is mainly made by long geometries with<br />

superpositions <strong>of</strong> short channels. Figure 8.14 shows two examples <strong>of</strong> this<br />

phenomenon. It should be noted that at low values <strong>of</strong> f <strong>and</strong> Nu, the shape<br />

<strong>of</strong> designs is close to parallel plate channel, so the different length does not<br />

affect the form <strong>of</strong> the wave.<br />

The six channels marked in Fig. 8.14 are shown in Fig. 8.18, together with<br />

the streamlines <strong>and</strong> non-dimensional temperature field. They are scaled with<br />

the same average height in order to be directly compared. In Table 8.5, the

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