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Optimization and Computational Fluid Dynamics - Department of ...

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2 A Few Illustrative Examples <strong>of</strong> CFD-based <strong>Optimization</strong> 45<br />

Air mass flow-rate in primary inlet [g/s]<br />

1.5<br />

1<br />

0.5<br />

0<br />

0.04 0.06 0.08<br />

Methane mass flow-rate in primary inlet [g/s]<br />

200<br />

180<br />

160<br />

140<br />

120<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

Fig. 2.15 Contour plot <strong>of</strong> the temperature variation (in K) as function <strong>of</strong> the input<br />

parameters<br />

Table 2.5 Primary inlet flow-rates for the selected simulations<br />

Figure number Primary injector: Primary injector:<br />

Methane mass flow rate [g/s] Air mass flow rate [g/s]<br />

Fig. 2.18 7.19 × 10 −2 7.49 × 10 −1<br />

Fig. 2.19 4.92 × 10 −2 8.31 × 10 −1<br />

mixtures, injected through the primary <strong>and</strong> the secondary inlet <strong>and</strong> leading<br />

to the shortest possible flame.<br />

The mass fraction field <strong>of</strong> CO obtained for the two-dimensional burner<br />

considered here at two chosen compositions <strong>of</strong> the two inlets are presented<br />

in Figs. 2.18 <strong>and</strong> 2.19. In both figures, the mass fraction <strong>of</strong> the radical HCO<br />

is also shown on the right side to visualize the shape <strong>and</strong> position <strong>of</strong> the<br />

active reaction zone. Figure 2.18 corresponds to a non-optimal solution <strong>of</strong><br />

the EA. Compared with the optimal solution in Fig. 2.19, a large CO mass<br />

fraction <strong>and</strong> thus CO mass-flow rate is found at the outlet <strong>of</strong> the combustion<br />

chamber for this set <strong>of</strong> compositions. These two figures employ the same<br />

gray-scale values to facilitate comparisons.<br />

The values chosen by the optimization procedure for the primary inlet for<br />

the cases corresponding to Figs. 2.18-2.19 are listed in Table 2.5. Consid-<br />

0.1

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