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rotor blade axis | 14 comments (14 topical, editorial)
Re: rotor blade axis (3.00 / 0) (#6)
by johnlm on Thu Jul 26th, 2007 at 04:58:20 PM MST
(User Info)

Its the same principle as the power loss that happens during furling.  As the blades become non- perpendicular to the air flow, the swept area is reduced and it follows the cosine of the angle difference between perpendicular and the tilt.
This lowering in apparent swept area relative to the flow of the air reduces the power.

As for you initial questions, I believe the average airflow direction is parallel to the ground.  I say average as there may be some localized directional changes caused by trees, ground irregularities or other obsticles.  But in general the airflow is not downward toward the ground.  The tilt back on horizontal mills is usually for clearance reasons.


[ Parent ]



Re: rotor blade axis (3.00 / 0) (#8)
by Ungrounded Lightning Rod on Thu Jul 26th, 2007 at 07:05:00 PM MST
(User Info)

As the blades become non- perpendicular to the air flow, the swept area is reduced and it follows the cosine of the angle difference between perpendicular and the tilt.
This lowering in apparent swept area relative to the flow of the air reduces the power.

Actually it's a tad different:

As you become non-perpendicular the component of the airflow along the axis is lower.  You've slowed the wind seen by the turbine by that cosine factor.

The available power is the CUBE of the airspeed, so the reduction in potential power is 1 - cos(angle)^3.

However it's not that simple for two reasons:
 - A windcharger does not load the turbine optimally, so the output power is not a cube function of the wind.  All that matters is current, which is proportional to torque (and to (gen voltage - (battery voltage + diode drop))/series resistance).  So it's pretty close to a first order function of (wind - cutin wind speed).
 - The cross-axis component of wind interacts with the blades in a complex way.

Still, a 5 degree tilt probably doesn't make enough difference to measure with ordinary test equipment.

[ Parent ]



rotor blade axis | 14 comments (14 topical, 0 editorial)

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