Sailing directly into the wind - designing the best rotor

Explanation of diagram above

The diagram shows an example of the direct upwind craft which has blades set at an angle of 45 degrees.
Using this angle means the rotor will revolve slowly. 
Because of this there must be enough blades
to cover the whole of the rotating disk not allowing any spaces for the air to pass through unused.
For example 6 blades or more of large area. 

45 degrees in wind turbine terms means a tip speed ratio of 1.

Wind turbine "experts" will tell you that a tip speed ratio (TSR) of 7:1 is best 
for obtaining the best power from the wind. 
However, for maximum efficiency to take a vessel directly against the wind the lower TSR 1:1 
I have found better from testing. 
This should be made clearer from looking at the diagram.

Given that lift produced from these blades acts perpendicular to the blade surface.
The lift can be divided into 2 vectors, one which takes 50 percent to drive the boat and the other 50 percent will act in the wrong direction and tend to push the boat back.
So you have 2 opposing forces which counteract each other.

So how do we make the thrusting component overide the opposing component? 

The answer is leverage. If the windblade is geared to the boat so that it moves a different distance than the boat, mechanical advantage comes into play. The boat itself acts as a fulcrum.

This has been very well shown on the landcraft tests of Rick Cavellero  Some have argued that the landcraft is much more efficient because it has a solid connection with the ground. However, watercraft that use very large slow rotating propellers have very good
grip on the water also.

So in the example above the windrotor needs to be geared that the blade rotates a distance greater than the boat and therefore the rotation force is greater than the opposing force.

For example if the blade distance rotationally travelled was double compared to the distance the boat travelled you would get double the force over the opposing force and therefore forward motion would be achieved.

To summarise:
The rotor giving the most power is not the best for driving into the wind, because if the angle of the blades is more than 45 degrees to the oncoming wind, the lift produced overcomes the drive produced, and results in a force pulling the craft back.

 

These specifications are not based on theory alone. They are the result of many years of practical testing both in model form and fullsize by Peter Worsley. Many more videos and explanations can be found on his website directory. Peter is very happy to discuss his theories and tests. You can contact him here.

Peter is very willing to give demonstrations of the principle on the model boating lake at Norwich

Link to testing at Eaton Park boating pond

See also: Why a turbine rotor blade set at 45 degrees cannot go faster than the wind.

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