It is a popular misconception that when we see a large amount of broken water or foam under the stern of a tug or most other vessels, it is an indication of "cavitaion", it is not. What we are seeing, to all intents and purposes, is the water being "aerated" . "Cavitation" with regard to a ships propeller, is a completely different animal and occurs when a propeller is turning at high speed, this can and does, form a vacuum which collapses with such force that the surface of the blade is pitted and eventually weakened.
The propellers fitted to tugs and to virtually all merchant ships do not turn at anything like the speed required for this to happen. When a tug for instance increases to full power, the amount of water which the propeller moves is quite enormous and some is directed to the surface and forms, what is in effect, an action similar that of a wave breaking on the shore line, hence the foam and frothing.
This is but a brief simplistic explanation to what is a very complex subject, for more detailed information go to Google.
There have been many experiment at simulating this on a model in the past but have not nor will they succeed to many great extent, for the reasons already given. Though on second thoughts a combination of blown air and washing up liquid might work reasonably well but, I doubt very much if Miss Krishna or her dear Ma, would welcome that in their pond.
But don’t let that stop you from experimenting for you are a remarkable person and a breath of fresh air. I hope all your desires and wishes come to fruition, if they don’t however, I’m sure you will find many suitors here who will be only to willing to indulge you.
LB