Muffler Science.
Article courtesy of http://RacingSecrets.com
       I. THE PROBLEM.
The necessity for muffling the exhaust of airplane engines is hardly, open to  argument. The objects in view are the minimizing of noise to delay  detection in military service, to protect the general public,  particularly those living near aviation fields, and lastly to give the  operator a better chance to know what the rest of his power plant is  doing. The last point is perhaps even now of little importance, as an  exhaust pipe long enough to end behind the operator is quite enough to  make the exhaust noise less prominent than some other rackets.
A study of the general problem of silencing the airplane power  plant, not only in the laboratory but also by means of observing  airplanes in a large number of flights, has led to certain conclusions  none of which are, however, new. In the first place the exhaust noise is  not the only disturbance to be dealt with, although perhaps the most  important, because the staccato barks of open exhaust carry to greater  distances than the other attendant noises. It is, however, not a matter  of great difficulty to so far suppress these barks that the exhaust  noise ceases to be the most prominent in relation to some others. As a  matter of fact, a simple pipe of sufficient length will do this for the  high-speed multicylinder engines, and we  understand that some American and German planes are using this scheme.  It serves at least to protect the operator, even if it does not go a  great way toward actually suppressing the pulsations as far as an  observer at a distance is concerned. The very fact that the impulses  follow so rapidly upon one another seems to make the problem of taking  off the "bark" easier, for we found it much harder to muffle  single-cylinder slow-speed engines.
Assuming however, that a successful device for completely muffling  the exhaust can be found we should still have to deal with other noises  such as the hum of the propeller, the singing of gears, and the rattle  of the valve gear. It will be admitted that all of these sources of  noise can be minimized, but elimination does not seem to be in the realm  of possibility.
On the 8-cylinder engine used for our last experiments the  propeller of the fan brake caused a deep, more or less musical note,  which appeared to come from the crank ease. This noise disappeared when  the blades were removed from the fan arm-, and the engine was operated  at speed under its own power, swinging only the arm. The same sort of  humming note can be identified in connection with planes in flight at  considerable altitudes and distances. To silence this disturbance  presents a problem on which at present the writers have no suggestions,  except that slower speed (geared) propellers might help.
Another source of noise is in the valve gear. In the case of the  engine under test this consisted in a sort of rattling hiss at high  speeds. It can be easily identified when the observer is close by. In  planes of flight at some distance from the observers the noise would  appear to-be drowned in the exhaust roar and in the hunt of the  propeller. In any case this disturbance can be minimized by accurate  adjustment. But it is difficult to see how the valve slap can be  entirely eliminated.
The last source of noise is in the gears. This can be partly  suppressed at least by the use of spiral gearing and by accurate machine  work and mounting.
These four sources of noise are the principal ones requiring  attention. We would place them in order of importance: (a) Exhaust no(b)  propeller noise, (c) valve-gear noise, (d) gear noise. We believe that  it is most important to suppress the exhaust noise, because its staccato  barks will undoubtedly advertise the rising of a plane sooner than the  other three by reason of its greater carrying power. But the problem of  the other noises remains; and we are further of the opinion, based on  our experience in the past year, that the exhaust noise can be so far  suppressed with comparatively simple means that it--forms the smallest  source of the disturbance of the four. We will not venture to predict  complete suppression. Any muffler construction in connection with its  manifold will have to take in some one of its parts the full force of  the original blow, and since lightness of construction is one of the  requirements calling for thin walls the chances are that there will  always be more or less of a pulsating roar, at least near the engine. We  have so far not reached the stage of considering this part of the  problem.
Confining our attention now to the particular problem in hand,  the silencing of the exhaust, a successful device will have to meet  three requirements: (a) Satisfactory suppression of noise with least  back pressure, (b) lightest possible weight, (c) greatest durability.  For the last year we have, confined our attention to the first of these,  believing that the other two could be successfully met if the first  requirement were satisfied.
 

