The only real variables are amplitude and frequency. Air molecules move further back and forth on lower notes compared to higher notes of similar 'loudness' and the louder and lower the system can play the more air it seems to move. Because 4th orders are more efficient over a certain bandwidth, doesn't mean they are necessarily better at 'moving air,' but a very low tuned 4th will be very loud over its bandwidth.
The overall volume in the enclosure relative to the Vas of the woofer has a direct influence on how the air in the port is excited. Since the port output is out-of-phase
with the driver output the cone movement is minimal at the maximum output frequency of the port, and the cone movement has no direct effect on the 'air movement' other than affecting the amplitude of the sound wave being reproduced.
Summary: loud and low moves the most air. Depending how you build your system, you can optimize it to play this way. Whether it's a 2nd, 4th, or 6th (etc) alignment, if it's optimal for those frequencies it will 'push air.'
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