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Still, near the middle of the heavily populated saucer and just below/behind the bridge doesn't seem like the ideal place to put such vents. I'd think you'd want them more out toward the edge and further to the rear.
I dunno. I think it makes sense. Assuming the problem is that serious that you'd need to eject it from the hull, you'd want to do it quickly given that that is where most the people are. Having such vents centrally located seems pretty reasonable. You wouldn't want them blowing down for fear of interfering with the deflector dish. Also keeping them in the middle would keep them more-or-less out of the way of the ship's phasers, which might be an important consideration given that a combat scenario is as likely a place as any to incur damage that might require such venting in the first place.
--Alex
We hardly ever did truly complicated and clever failures/fixes; mostly because of the time to explain it to the audience. Simpler was better to the producers. We did fun and interesting stuff, but I would have loved to have seen some faster-paced solutions to tech problems. Stargate SG-1 and Atlantis did some better space tech stuff, but then they had us to learn from.
That'd give you a nice downward vector to the saucer that'd be maximally effective in sending the ship flipping over, and if you timed it right, it would present a minimal profile to the incoming Bozeman and allow her to pass right beneath the E-D stern...