By "vane axial wind turbine" I think you may be referring to a VAWT. The acronynm is for Vertical Axis Wind Turbine.
Do a search for "Benesh" and "Lenz2", they are apparently the most productive wind VAWT's, but due to low RPM's thay are mostly used for 12-volt production, or mechanical work.
I have not heard of any VAWT's being used underwater for hydro-electric production.
The two main considerations for hydro are volume of flow, and elevation of head (height of feed-water above the gen). The higher the column of water (in an enclosed pipe) the greater the pressure at the bottom coming out of the outlet. High pressure is desireable because it allows you to generate useful power from a small-diameter device that can provide high RPM's with a small volume of water.
For low head (a few feet), a Poncelet style of wheel might extract the most available energy from the available flow (curved buckets, flat blades cause wasteful turbulence).
Low RPM's might make low voltage (12 VDC) the most useful option for low head sites. Gearing to increase generator speed might be possible, but will cause some efficiency losses, and add complexity with costs.
At around 5ish feet, a "breast shot" wheel (water added just above the axle) becomes useful, around 7-10 feet, an "over shot" wheel (water fed to the top) can use the weight of the water to make gearing more useful.
20ish to 80ish feet, you should research small "Turgo" and "Pelton" high-speed wheels.
Nearing 100 feet of head or more, you can use a small hydro-turbine that resembles a turbocharger impellor. If this is an option for you, high-RPM's make higher voltage an option, and high-voltage alternating current (120 VAC, 240 VAC) travels distance much better.
I haven't built a hydro system yet, but this is what I've read here from the archives.