See below. Would such a device increase exhaust flow? Basically it's a funnel forcing air through the end of the exhaust, causing an increase in flow. Might be too much, dunno. Would/Could it be beneficial?
IMHO you shouldn't make this modification. Rather gaining an increase in the flow of exhaust gases from the engine, it's actually more likely to reduce it.
Introducing an external supply of pressurized air - as indicated in the sketch - won't create a venturi effect. Most likely, all it will do is cause an elevated pressure to develop between the point of injection and the tail pipe. Consequently, the flow rate in the entire exhaust system will be slowed - due to increased back pressure.
I think I can see what you are attempting to do. The idea is to induce a greater flow rate in the system using a pressurized "motive media/liquid" to propel the exhaust gases through the tailpipe and out to atmosphere.
There are devices called "eductors" that are used to create low pressure zones (i.e. suction) in the piping systems they serve. The eductor pulls the "suction media" up from it's original system and into the flow of motive media. Then the mixed motive & suction fluids are expelled - together - from the eductor outlet.
But, looking at the sketch above, there appears to be several fundamental issues:
1. There is no nozzle at the end of the motive media (i.e. the outside air stream) pipe.
2. Even if a nozzle were installed at the exit of the outside air pipe, no increase in flow would result because a second nozzle is required downstream of the motive fluid nozzle. IIRC it's called a convergent/divergent nozzle.
3. The direction of the fluid flows are backwards. The flow of the motive media should be straight through - in line with both of the nozzles and into the outlet piping. This effectively requires that the suction fluid has to be introduced perpendicular to the motive flow.
4. The motive media must be at a significantly higher pressure than the area of discharge into the convergent nozzle (the exhaust gas). Unless you go like 800 mph, no motive force will be developed.
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BTW - this area of study is called Fluid Mechanics. I had to take that class a long, long time ago and have forgotten most of what they taught me. But, one thing I do know for sure is that I raised the flag on that class (got a big fat F)... so as always consider the source.