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I can't put it in any other words....
If you add energy to the air by "Pumping it" the energy has to come from somewhere.
Your engine exhaust is a squirt gun against the Hoover Dam, the volume of air needed is HUGE to accomplish what you're asking. HUGE volume of air will need a substantial energy source.
For the amount of time, energy and money as you would put into such a system, you could just design it into an aerodynamic shape from the get go and have an efficient vehicle.
Bottom line....It takes energy to move air, the object of the aerodynamic game is to move it as little as possible as we plow through it.
Think about how much power it takes for a fan to blow air across a room, it's moving maybe a few hundred cubic feet per minute at 15 MPH. What you want to do is asking for thousands of cubic feet at 60 MPH. But you know what, even if you could get unlimited free energy, this concept of "Filling the Vacuum" is doomed from the start because that's not the way it works.
Follow with me.
You plow through the air.....It is only trying to get out of your way and get back to where it was before you came crashing through it. The car is moving, the air is stationary.
The more you move the air as you plow through it, the more energy it takes, just like a fan requires more power to move a larger volume of air at a higher speed.
So you're saying you're not only going to move a huge volume of air to plow through it, but you're also going move another huge volume of air to compensate. And you'll be more efficient.
Here's another thing you can do, explain how this would work on a boat?
On a boat going through the water, you can't just pump a bunch of water into the wake to make it go away and make it more efficient, you would require as much energy or more to fill the wake as it takes to get the boat moving at speed to begin with. So how can 2 engines running at full power be more efficient?
I see you're probably talking about motor cycles here, so you're doomed from the start in aerodynamics due to the fact that you're shoving a big lumpy sack of potatoes through the air at high speed.
The aerodynamic complexity of a motorcycle would melt several supercomputers running in parallel trying to make mathematical sense of it if you could come up with the formulas to input in the first place.
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