Inspired by Ian's pic, I thought I'd dig into how much the rotation of the wind window affects the ability to generate forward thrust. Here's a graph of how different starting angles are impacted:
A couple of notes / observations:
- The forces displayed are proportional to the amount of force the kite is generating at the designated angle from directly downwind at no forward speed. Eg: When flying the speed of the wind (1:1) with the kite at 70 degrees will give approximately 60% of the power available when stationary and the kite at 70 degrees.
- Note that since the measurements are proportional to stationary power, if your kite is barely pulling at 80 degrees on the beach, it will also be barely pulling flying at 80 degrees even if you are trying to go past 1:1.
- Note that 85 degrees (and even 80 degrees) would be unlikely for standard LEI's. I'd say mine would be lucky to make 80 degrees at the extreme edge of the flyable window, so to generate enough power to pull me they would likely be back at ~70 degrees.
- What the graphs DO show is that
a kite able to fly further forward in the wind window and generate exactly the same pull as another flying deeper (due to size,shape,etc) will be able to maintain that power much further as the speed increases.
- The graph assumes that the increase in apparent windspeed correlates directly into an increase in force. This is unlikely to be completely accurate as it would need to consider the frictional force of the wind on the canopy compared to the lift being generated. Even considering NO increase on force due to an increase in airspeed, the graphs show the same relationship of further forward flying kites giving the ability to maintain forward thrust for longer.
- The graph only takes into account the force generated from the wind on the kite. This will be counteracted by the frictional forces of the board on the water requiring more power for faster speed. Since these dragging forces will remain constant between kites, they would have no impact on the ability for the kite to generate more or less power (just limit the top speed of each design).
I couldn't find anything that would indicate a greater force by flying downwind (in fact flying into the wind would increase the power generated by the kite), so it's likely that there are angular forces due to the board heading, that play a bigger role in predicting the optimal bearing as speed increases.
Google spreadsheet for anyone wanting the doublecheck the maths:
docs.google.com/spreadsheets/d/1B2-wh9UKRKdI2RB3vHxNG85dh14INVHOYgyXKAJ0c1s/edit?usp=sharing