The Slocum G3 Glider - Do you have the brains to do the maths?

This has what is called Buoyancy Drive - it glides as it sinks towards the bottom and then glides as it rises toward the surface..... So it is a submarine that glides on buoyancy drive and wings... no propeller.

I am just wondering if anyone can do the maths on two identical models, to calculate the power and perhaps separately the power and time coefficients - of the two models where one has a buoyancy chamber and glides up and down and up and down, covering a linear distance of 10 Km and the energy required to pump the flotation chamber, compared to a screw driven submarine doing a linear distance of 10 Km, AND for the screw propeller submarine to run the same course of diving and rising - over the 10 Km.....

And how would this work when scaled up to the size of a Los Angeles sized submarine?

There is a difference between gliding up and down in the water, based upon buoyancy alone and actually powering in a straight line through the water - point to point.

There is three basic issues in play - the time taken, the distance traveled - both straight line and true distance and the power requirements of each system.

I am just hoping that people can pull are fairly accurate abstraction out of their arse.

Just off the top of my head - really your just sucking air out of a flotation tank and compressing it, and then pumping the air back into the flotation tank and expanding it... And then trigonometric ally - converting that increase and decrease in buoyancy - into forward momentum.