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I need to build a test rig for an sonic leak detector, these detectors respond to a frequency of 20kHz to 25KHz. although any leak is as you say white noise there are main fundamental frequency's that predominate.
The predominant frequencies will, I believe, be mainly determined by the size and shape of the orifice through which the leak occurs. The pitch of a wind instrument changes only a little over a significant range of pressures, but more rapidly with changes in the dimensions. Think of your leak as a tiny whistle.Tiny does imply very high frequency (which is why it takes a pretty big leak for me to hear it...).
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I believe you should be looking for decibels ,dB, rather than frequency.
Air escaping through an orifice from a source exceeding approx. 13 psig will be at sonic velocity. A big hole will make more noise than a small hole but the frequency will be approximately the same. Also sound, dB's, attenuate with the square of the distance from source to measurement.
If I whisper "hello" or shout "HELLO" the frequency will be similar. The difference in noise will be the higher decibels of the shout. Should I chance to sing "h-e-l-l-o" in high falsetto or bombastic baritone the frequency may be slightly different but the ability to detect will still be volume or decibels.
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