Charon
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Too bad exhaust systems aren't that simple. The problem is only slightly related to "back pressure." The math that most closely resembles the math of exhaust systems is just about the same as the math that describes radio frequency transmission lines. The pulses that reflect back and forth in the exhaust system end up resembling standing waves in transmission lines. If the engine ran at a nearly constant speed - as a transmitter operates at a nearly constant frequency - it would be much easier. Those resonances in the exhaust explain very neatly the phenomenon of an engine "coming onto the pipe." The intake system is also resonant, and is often tuned to a different resonance than the exhaust to "smooth out" the engine's torque curve. Racing engineers go to great lengths to get intake and exhaust resonances at the same place. The benefit is quite high torque and power, at the cost of a very narrow torque band.
If minimum back pressure were the only goal, you need look no further than the exhaust stubs on the WWII Spitfire. The pipe was only just long enough to get from the exhaust port to the outside air. The absolute minimum back pressure would likely happen by simply removing the exhaust altogether.
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