Boat Design question

[sam_bristol]

Hello,

I am a Mechanical Engineering Student at Bristol University. I am currently writing a project on LNG carriers and I am trying to construct a simple model to compare the power output required when the speed and size of the ship are changed.
I have a range of data relating to various LNG carriers, with the shaft HP, size and speed. To relate these, I am trying to use the admiralty coefficient formula but to determine the coefficient I have set up a number of simultaneous equations with the boat data that I have.
I was hoping someone here would be able to help me derive the admiralty coefficient (P = D^2/3*V^3*C)

Thanks!

Sam.