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I would have all the woofers facing the same way. I think you are adding complexity without any real benefits by facing the pairs of woofers in opposite directions.
I am having trouble conceptualizing the resultant output of this design.
as narrow as possible (front to back)
I'm wondering why you want to do that?
Any predictions on how this woofer module would behave?
I am sure I am not the first person to try this.
It's a push-pull design. This will go lower IMO then having all the drivers facing forward.
In my software it was easy to see that a push-pull configuration gave me -3db @ 27hz rather then -3db @ 56 hz from a vented front firing cabinet. After building the push-pull cabinets I was shocked to hear the difference. The lower 3db down point is startling at times and makes listening more exciting overall. It’s not as efficient as having both drivers facing forward wired in parallel but the improvement for me was well worth it. Try it in some loudspeaker design software with any 2 woofers. It’s pretty interesting to see the results.
You might consider building each driver in its own U/H frame so you can add or delete woofers to mate with different efficiency and types of drivers for the mids and treble.
I like that idea . If he builds four boxes per side he can experiment by rotating the boxes and rewiring if needed. Yeah it would be a pain building 8 boxes total but sure would be versatile. Hell, start out with 2 boxes per side. He could even do 2 boxes in 4 corners for a multi channel setup for even more versatility later on.
It would seem logical to me that the best acoustic performance of a driver would come from the front of the cone.
if there is a difference at all in the front and rear output radiation patterns of a given driver,