Stuart, not sure what would happen if you could somehow magically up the power enough to propel a ship like PoR at 38 knots, to be honest I suspect that at that speed she would just go faster.
It would take a model test to really find out what would happen, but I think the mechanics of making the hull go faster and faster would work something like this...
- The bow wave would increase, thus increasing hull resistance
- if more power was applied the increased the bow wave would continue to increase to the point where it would actually be providing extra buoyancy forward, lifting the bow slightly and causing the stern to squat.
- this lifting of the bow would form a wedge of water under the ship which if enough power were added the ship would actually climb causing her to effectively rise up on her own bow wave and plane
- she would then capsize
All of the above is pretty much guesswork, but I don't think it would be far off, assuming of course that the propulsion method was changed to something which still allowed power to be applied when the ship was planing and that she didn't break in half at some point while climbing what would be a fairly monstrous bow wave.