Read the NACA reports toward the end of WW2. You want the exit duct to be as parallel to external flow as practical. Turning a NASA inlet around backwards is not the best way to go. Sorta works, but not optimal.
Turns out, exit ducting is about as important as inlet ducting, just as (I suppose) the pressure-recovery aft end of a body is about as important as the nose, drag-wise.
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