Had a ideer for a A/C system

Exactly what "first functional machine are you referring to?"

Perhaps the work of Linde? Hardly practical for home or portable use, although early refrigeration of things like trucks WAS carried out by a "total loss" process of releasing CO2. Not very cost effective, eh?

And even this CERTAINLY involves a phase change IE the sublimation of solid dry ice to a gas, or boiling off something like liquid nitrogen

Or, hell I don't know, maybe you mean a vortex tube? Those things use one HELL of a lot of air, I would guess that an on-board engine driven compressor large enough to cool the car would take every bit of HP that a conventional A/C system, and the NOISE it would make would be terrific.

But I grow tired of guesswork, and refer to my earlier statement, which has served me well:

IF IT'S SUCH A GREAT IDEA, then why ain't everybody doin' it?