Would they not be more efficient if they were shaped like an actual turbine with a deep spiraling blade, placed inside a cylindrical or conical encasing?
Would they not be more efficient if they were shaped like an actual turbine with a deep spiraling blade, placed inside a cylindrical or conical encasing?
I’m sure the cost of a casing plays into it, but its primarily about the energy efficiency of different blade shapes in different hydraulic conditions.
For mechanical engineering reasons, mostly to do with evening out the load at the point of blade attachment, the industry has mostly converged on three.
This is also linked to tip speed ratio: http://www.reuk.co.uk/wordpress/wind/wind-turbine-tip-speed-... ; the tip speed is usually several times faster than the wind speed.
Remember that the blades are aerofoils, effectively wings. They don't need to touch all the air in their swept area, their effect is given by redirecting the flow of the whole stream of air.
Casings are only useful for small turbines operating at high pressures, where the energy lost to spilling over the tip of the blade would be high.
In Betz's own derivation, the ideal rotor is an "actuator disk", having an infinite number of blades, which have no drag.
Generally speaking, the power a wind turbine can generated is proportional to the entire swept area. So, other things being equal, it is better to go for longer blades to increase the area, rather than trying to "capture all the wind" in a smaller cross-sectional area.
So the most efficient use of your wind turbine's mass (which is proportional to cost) is to make it as big as feasible.
However, there is no rule in physics that you can't 10x the windspeed with a focused inlet.
Natural mountain ranges around some farms have a similar effect to improve power output, but we would never consider building a natural mountain to improve turbine efficiency
Maybe we could? Mining operations already produce huge volume of material from tailings and overburden. Not an outrageous idea to be more strategic in how and where that material is placed. Could create some artificial ranges with better wind properties.