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it's strange to think of the gas entering the turbine cooling & contracting
and as it cools it must contract.
Here's a suggestion.The very first stage has to have fixed nozzles, so you may as well have that stage, at least, as an impulse stage.
I think what you're saying about the cooling due to imparting kinetic energy may true for impulse turbines but I'm not sure about it applying to reaction turbines. With a reaction turbine, the drive is derived from aerodynamic principles i.e. achieving a pressure differential across the aerofoil, where speed and not temperature is the most important factor.
...[steam velocity hitting] the turbine blades is a 'detail', determined by the designer to get the optimum performance. I'm sure efficiency is quite high on the list of criteria but there can't be any useful reaction from fixed nozzles...
Thanks SC....In future I will come straight to your door with all my steam turbine quandaries!! - what with you now being a world expert & all!!! Ho Ho!