I was thinking about using exhaust energy in race cars. There is an effect called "supercirculation". It can be used when high enegry flow stream is behind aerodynamic surface. Lets compare flow around airfoil with and without jet stream to see how it works.
Simple airfoil (30 m/s):
Now lets create a jet stream behind it like that:
And now lets see what happened (jet stream - 180 m/s):
Its a proven effect (in aviation). Its strength depends on a jet stream angle relative to airfoil, jet stream volume and jet stream speed. It increases lift up to 400%!!! In my CFD calculation lift increased by 100% (I believe its not the limit).
In racing exhaust gas can be used as jet stream.