I'm no expert, despite the tag somebody put under my user name. I think that's based on number of posts. See if you can lure aerohead into the thread.
Basically, fluids like air have a pressure and a velocity at any given point. You can no more push air than you can push a rope.
https://en.wikipedia.org/wiki/Bernoulli%27s_principle
The most you can do is pool it in a plenum and suck it out through a port.
IMHO, the stagnant low-pressure air in the wake will be no more effective than the high-velocity air moving over the sides of the body. think of a reverse Coanda nozzle:
https://en.wikipedia.org/wiki/Coand%C4%83_effect
The picture is poorly lighted. How close is the sketch? Three-views would be nice. Is it gas/diesel or electric?