Do you have a problem or is this just "make-work"?
If it's a real problem, you may not have many options, and those you do have will be highly conditioned by the original design and the existing equipment.
In the combustion chamber, the noise is generated by the combustion process itself (with a thermo-acoustic efficiency of between 0.5E-06 and 5E-06. The actual efficiency will depend on the density of combustion (energy flux per volume)in an approximate range 2.0E04 - 2.0E05 Btu/h_ft^3. That noise is generated by the combustion.
Where you are will depend on the combustion chamber size AND the burner design.
The burner manufacturer can play with some of the noise by changing the flame density close to the burner.
The noise gets out into the atmosphere through the walls (which will not be very transmissive), the air inlets (which you or the burner manufacturer can probably silence with mufflers), and the flue gas outlet or stack ( which you may not be able to do anything about). Any time you add mufflers to the air or flue gas flow sytemd you change the thermal energy balance and this messes with the temperatures. [Having said that, you may have muffler options but depending on the stack diameter, it may involve rebuilding the unit.]
If you have a big stack outlet, most of the noise may be coming from that point. You could make a guess about how much noise comes rom where by adding up all the air inlet area and flue outlet area and pro-rating the noise on the basis that the noise energy density at those points is roughly equal.
Then you have any mechanical noise. Do you have fans or blowers, are the (liquid) burners mechanically atomised or with steam or air, and valve noise etc can add to your problem.
Before you can start you need to do a walk-around and identify the noise sources. Isolate those you can and get a noise reading at a known distance from that source (3 - 5 ft at the most if you can manage it). Get a spectrum analysis as well and record the linear reading as dB (as well as dBA) if you want a realistic analysis.
When you are left with just the combustion noise, see how that varies with location. When you are close to the unit, you hear mainly the noise coming from the burner air inlets. At a distance (more than 2 heights) you will hear the entire thing including the stack output.
Then find out where the problem exists. Locally to the unit or a mile away?
Watch out for pulsing noises (vibrations or regular variations in noise volume). These indicate some sort of instability, either with the combustion process or as a choking condition in the flow. These will not register as dB nor appear in a conventional frequency spectrum and need to be debugged by more sophisticated means. If you have pulsing, get a recording of the noise for your analyst to work with in an oscilloscope or computer-based equivalent.
[Hiebs noise concern (above) was probably the wind hitting the air inlet in a certain way and intensifying the combustion density.]
A company which sometimes looks at this type of issue can be found at
Good luck
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