The potential HP of a water wheel is apparently Head(in feet) * Flow(In cubic feet per minute)/540. (
http://www.waterwheelfactory.com/horse.htm)
If your entire generation process (from flowing water, through the water wheel, through the generator, through the wiring, through the charge controller, and back out of the battery bank and through the inverter... or whatever your system is) was 50% efficient, you'd need about 5.2 gross HP to make your 2KW.
So, to work back from that, and your head of 15ft: 5.2*540/15=187.2CFM flowrate, or about 1400 US Gallons per minute. So, you'd need a wheel big
enough to pass that volume of water... assuming you have that much flow available.
How big that is in actual dimensions, I have no idea... and that 50% efficiency is just a wild guess, too.
2000 watts continuously is quite a lot of power; do you have extravagant power needs? Are you planning to have a battery bank charged by this power? Even a relatively small battery bank would allow for heavier loads for short periods of time, lowering the wattage required to be continuously generated...
EDIT: Found this, which explains how to determine sizing... also contradicts the previous power calculation. Hmm...
http://www.backwoodshome.com/articles/behrens18.html