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RANS Study of Hydrogen-Air Turbulent Non-Premixed Flames

RANS Study of Hydrogen-Air Turbulent Non-Premixed Flames

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Ischia, June, 27-30 - 2010<br />

shown in Fig. 6. The outer vortex-flame interaction is shown in the left insert, and the fuel<br />

side vortex-flame interaction is shown on the right. Vortices are more evident in the isoradial-velocities<br />

contours <strong>of</strong> Fig. 7: red and blue colors represent positive (outward) and<br />

negative (inward) radial velocities, respectively.<br />

Fig. 7<br />

Instantaneous radial velocity fields in the first part <strong>of</strong> the combustor for<br />

: on the left is depicted the case with<br />

Vortices motion are time dependent. Frequency spectra from the temperature fluctuations<br />

(measured on a single point in the domain, x=10cm; y=0.95cm) are obtained using FFT<br />

method. Figure 8 shows frequency spectra obtained from temperature data collected at a<br />

radial location <strong>of</strong> 9.5 mm within the shear-layer at a distance <strong>of</strong> 100 mm from the nozzle exit.<br />

The data, stored from 60000 time-steps, covered a real time <strong>of</strong> 0.6 s. We can distinguish two<br />

peaks over a frequency range between 0 to 1000 Hz. The one at 273.9 Hz corresponds to the<br />

fundamental frequency, and the subharmonic <strong>of</strong> this (547.8 Hz) appears as the second peak.<br />

The frequency <strong>of</strong> the highest peak can be compared with a dimensional analysis that defines a<br />

frequency as the ratio <strong>of</strong> mean velocity and characteristic length <strong>of</strong> the vortices:<br />

(1)<br />

where L v is the distance between two consecutive vortices. Vortex frequency value is very<br />

close to the peak obtained from the FFT and displayed on Fig. 10. Physically this<br />

phenomenon can be explained considering turbulent fluctuations as different spatial and<br />

temporal scales vortical structure overlap. When these move inwards the fluid they induce a<br />

perturbation on the characteristic scalars.<br />

5

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