i want to calculate the flame transfer function of swirl stabilized non premixed flame. I have a loud speaker at my disposal. Do i need a siren instead of a loudspeaker.
Have you considered using acoustic reciprocity to measure Frequency Response Functions (FRFs)?
A flame, I am sure you know, is a thermoacoustic source. It modulates the density, i.e. it causes a mass flow variation which implies that it can be seen as one (or more) acoustic monopole sources.
For structures, the relation Vibration2/Force1 = Vibration2/Force1 is well known, where numbers refer to position and direction dof.
In acoustics, we have Pressure1/VolumeAcceleration2 = Pressure2/VolumeAcceleration1. Another version for vibroacoustics is Pressure1/Force2 = Acceleration2/VolumeAcceleration1.
Acoustic volume acceleration for a loudspeaker with a rigid cabinet would be cone area times its acceleration. The speaker/flame acts as a single monopole when its dimensions is 1/10 or smaller than the shortest acoustic wavelength of interest.
A FRF measured at cold conditions would have to be scaled to mimic the FRF found at higher temperature.
I found this MSc thesis on reciprocity methods that might help.
The concept of Flame Transfer Function is new to me. I just found this paper and had a quick look at it where the speaker is used to modulate the flow through the nozzle.
It seems to me that you might be able to detect part of the information you want on the downstream side using reciprocity but, I may be off so treat the above with a grain of salt.