Energy in an ocean current vs energy in an air current

AI Thread Summary
The discussion centers on comparing energy in ocean currents to that in air currents for a research project on wind and ocean turbines. The user applied the power formula for turbines, leading to the conclusion that an 8-knot ocean current equates to approximately 137.8 kph wind speed, which they consider low compared to other sources. Another participant highlights that due to the density difference, an 8-knot current could correspond to wind speeds as high as 390 to 426 kph. The conversation emphasizes the importance of distinguishing between energy and power in these calculations. Further analysis is suggested to refine these estimates.
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This isn't actually a homework question, but it does relate to a research project I'm doing relating to wind/ocean turbines. What I'd like to be able to do is state that:
There is as much energy in an ocean current moving at "X" knots as there is in an air current moving at "Y" kph.
I tried using P=1/2(ryo)(v^3)(pi)(r^2), where P is the power produced by the turbine, ryo is the density, v is the velocity, and r is the radius of the turbine.
Assuming P is equal in either case, I set the equations (one of water, one for air) equal to each other. I also assumed r was equal in either case, so r, pi, and 1/2 cancel, leaving:
(ryo_water)(v_water^3)=(ryo_air)(v_air^3)
Using:
ryo_air = 1.275kg/m^3
ryo_water = 1025kg/m^3 (seawater)
I end up with v_water = 0.1075(v_air)
So if I have my conversions right an 8 knot current would have as much energy as a 137.8kph wind. This seems reasonable to me, but it is very low compared to data I can find on the net.
Do anyone have any insight on this? Thanks in advance!
 
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Considering mass flow rate as \rhoVA and the specific kinetic energy as V2/2, and the same turbine area, the numbers seem about right.

What number is considered low?
 
I think it's low because of info found http://www.bluenergy.com/technology.html".
To quote them: "Sea water is 832 times denser than air and a non-compressible medium, an 8 knot tidal current is the equivalent of a 390 km/hr wind."
 
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Don't confuse energy with power.
 
well if one uses the relationship - (ryo_water)(v_water^2)=(ryo_air)(v_air^2), then one would get closer to 390 km/h.

However, using 8 knots = 14.8 km/h and the ratio of densities of seawater to air = 832, I get more like 426 km/h for the wind speed.

I'd have to give this more thought.
 
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