THESE de DOCTORAT - cerfacs
THESE de DOCTORAT - cerfacs
THESE de DOCTORAT - cerfacs
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4.2 The 2D premixed laminar flame 65<br />
150<br />
210<br />
120<br />
240<br />
90<br />
270<br />
0.03<br />
0.02<br />
0.01<br />
0.04<br />
180 0<br />
60<br />
300<br />
30<br />
330<br />
r = 0.05<br />
r = 0.15<br />
Pressure Fluctuation (Pa)<br />
0.05<br />
0<br />
Analytics<br />
AVSP−f<br />
−0.05<br />
−0.2 −0.1 0 0.1 0.2<br />
X axis (m)<br />
a) | ˆp| Directivity produced by the three poles b) Pressure fluctuation<br />
for two different radii.<br />
along the horizontal e 1 axis<br />
[ —— Analytics, (◦△) AVSP-f ] [ —— Analytics, (◦) AVSP-f ]<br />
Figure 4.10: Analytical solution vs Numerical solution<br />
premixed gas is a propane air mixture at stochiometric equivalence ratio. The reaction takes<br />
place at the dump plane generating a ‘V’ flame which will be stabilized after some milliseconds.<br />
Subsequently, the flame is harmonically perturbed at 500 Hz so that a fluctuation of the<br />
heat release rate is produced and hence fluctuations of acoustic pressure. AVSP-f estimates the<br />
acoustic distribution in the burner due to the unsteadiness of the heat release.<br />
10 mm<br />
20 mm<br />
fluctuating<br />
3.4 mm<br />
1.3 mm<br />
Figure 4.11: The 2D laminar premixed flame burner
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