Brett:
Can you define resonance as relates to our piped 2-stroke stunt engines ?
Max torque occurs at resonance RPM ?
Is there an easy way to determine resonance RPM on the ground ?
Resonance occurs when the time it takes the compression/acoustic wave inside the pipe to travel from the exhaust port to the reflecting surface and back is the same time it takes from the exhaust port opening to it closing again. With a 145 degree exhaust duration, the time is the time it takes for the engine to rotate 145 degrees. Assuming 1300fps speed of sound and 18.5" pipe length (for total travel of 37 inches/3.08 feet), the wave takes about 2.37 milliseconds to go out and back. That corresponds to about 10,200 rpm, which sounds about right for a in-flight RPM of around 11,000.
It is *presumed* that the maximum torque occurs at this frequency, but the only sure way to tell is by testing, you could do a torque curve with and without the pipe, and see where the peak deviation occurs. There are many complicating factors, like the fact that most pipes have multiple reflecting surfaces and we traditionally measure by distance from the glow plug to the first baffle (which is just one of 3-4 possible reflecting surfaces. It might be a sharp "crack" but when the echo comes back, it's smeared out over a longer period.
I strongly suggest, stick with a known system to start with, then learn by doing.
Note that I am just talking about a pressure wave moving through the exhaust - the actual exhaust molecules flow one way, out the exhaust. The pressure wave causes them to bunch up and spread out (since a high pressure caused by the shock of the "crack" of the exhaust is followed by a low pressure) but they continue to move out towards the end.
The effect of the wave at the exhaust port is first to create a low pressure as the port continues to stay open, enhancing the scavenging of exhaust and thus the entrance of more charge as the cylinder pressure goes down, then the wave comes back, and pressurizes the charge right as the port closes, packing in a denser charge. Both of those things increase the fuel/air charge of the engine, make it fire more strongly.
This can have startling effects, but most famously for model airplanes, Bill Wisniewski and the US team used tuned exhausts to blow away the field in FAI at the 68 WC, beating everybody by 20 MPH, roughly a 50% increase in power all in one step.
Brett