potchip
I'm going to pretend this is Akagi steaming full ahead as required for launching therefore with a bigger discharge
The water injection was meant to mediate an issue with all conventionally-fueled carriers. That the stack gasses would create a turbulent updraft alongside the glide slope of landing aircraft. By cooling the stack gasses down, it was thought that they would not have as great an influence on landing aircraft.
But, the temperatures needed for stack draft, especially at maximum power were just too great. Oil-fired boiler exhaust is in the 1800-1500ºF range. Gasses heated to such temps also expand rather rapidly, too.
Expereience later suggested sailing off the wind by 5 or 10 degrees off the bow, which deflected the stack gasses off the apprach glide slope.
Also, that pumping corrosive seawater through heated exhaust stacks created maintenence issue that were hard to resolve anywhere but a shipyard or large naval port.
Now, as to the model, a person might try adding pulled-out cotton balls hit with a spay fixative. Note that stack gas is only black early on in the lighting off. Once all the burners are lit and running, the gases are almost invisible. So, plain white cotton would replicate the effect nicely.