What is not well understood (seems to me anyway) is that when you inject water into a combustion chamber, a significant amount of the heat energy of combustion is lost to expansion when it tries to turn the water into steam.
I have heard that the steam will help with expansion, but I doubt if you will see any benefit in pressure which is the driving force that creates power.
That might change if you preheated the water using exhaust gas then injected it into the combustion chamber as steam to become superheated steam when the fuel is ignited in the combustion chamber.
Not sure if you can get the pressures and heat necessary to get to a superheated steam condition, but it might be interesting to try it as an experiment.
regards
Mech
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