Picking up the noise theme from a general viewpoint, the noise from a flare may be thought of as coming from three different sources.
The combustion noise itself.
This is the result of the shockwaves generated when each molecule of cold gas and "N" molecules of oxygen are converted into "M" molecules of hot flue gas. The amount of the noise is related to the energy in the flame (heat release) and the dominant frequency depends on the reaction speed of the gas. In general, this noise tends to be centered around 100 - 250 Hz.
Turbulence noise.
Turbulence and mixing of inerts such as steam causes the flame to behave erratically, and this in turn cause the combustion noise to generated in pulses related to the erratic nature of the mixing. The amount of noise energy in this range depends on the turbulence, more turbulence = more noise. More erratic and more unstable flames generate lower frequencies than better mixed flames. Frequencies in the 20 - 60 Hz range are typical.
Mechanical noise.
All jets (gas and steam) create a noise pattern based on the mechanical expansions at the jet. The amount of noise from any jet is related to its mechanical stream power (basically the velocity pressure at the jet) and the peak frequency from the jet is inversely related to the diameter. 1/4" jets might have a peak around 1kHz.
Part of the problem is that we react differently to different frequencies and tolerate low frequencies better than high. In recognition of this the noise data are often given in dB(A) which tries to make an allowance for the physiological non-linearity.
Listen to the flare.
If the troublesome noise is a hiss, it's the steam injection nozzles themselves.
If it could be a musical note, it's probably combustion noise and you may not be able to do anything to change it.
If you have a rumble, it is turbulence.
If you can't hear it but you can feel it, it's flame instability.
Most of these are addressable in the tip design.
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David