Jon Nellis
Contributor
Jon, do you disagree that power increases as cube of the velocity?
When your are talking about a eight fold increase in speed, definitely!
The small interval assumption used to derive the power vs speed equation is no longer valid, especially when the drive system would need to shrink to something that would fit on an arm. That is why all the real fluid dynamics equations are partial differential equations, as laminar flow transitions to turbulent and induced drag is overcome by parasitic drag among other things. And that does not even get into the issue of cavitation at the thruster and the power loss required to control it. That's is why I added the my fluid dynamics disclaimer to the simple drag force equation, since the drag equation assumes a constant drag coefficient, which is not likely with an eight fold increase in speed.
Clearly it has been a while since you cracked a fluid mechanics book.
Cheers,
Jon