3 ms·
The wheel friction and gearing allows the vehicle to tie the effective velocity of the sail (actually a propeller) to the velocity of the ground. Energy can be
by LeifCarrotson 5y ago
The wheel friction and gearing allows the vehicle to tie the effective velocity of the sail (actually a propeller) to the velocity of the ground.
Energy can be extracted from the interface between the ground at one velocity and the air moving at another velocity. A sail tied to the ground and extending into this wind will exert a force according to the drag equation:
Force = 1/2 x drag coefficient x density x area x (differential velocity)^2
Typically, when going downwind, sailors ignore the ground (or the water) and just extract some energy from the difference in speed between the vehicle and the wind. Obviously, as the vehicle accelerates, this velocity difference asymptotically goes to zero where there is no more force and no more acceleration.
For a more static example, imagine an enormously long vehicle with a linear bearing running the entire axis from the front to the back. Assume for the sake of argument the vehicle is ultra-light and has very low rolling resistance, some kind of cross between a top-thrill dragster and a train, hypothetically a kilometer long. On the axial bearing, mount a wind turbine with a cable and an anchor that can be fixed to the ground. Start with the wind turbine at the front of the vehicle, then drop anchor to fix the wind turbine in place. There is a velocity differential between the ground-referenced turbine and the air that will impart force on the turbine blades, use this to generate electricity. Use an electric motor to drive the bottom part of the vehicle forwards. When the turbine reaches the back of the vehicle, lift anchor - remember we're in spherical cow territory, so assume it's foldable and super-light so this part takes little energy and can be done arbitrarily fast - and push it back to the front of the vehicle, where you can drop anchor again. In this system, the energy you can extract only depends on the difference between the ground speed and wind speed, not the vehicle speed.
Blackbird is just like this repetitively anchored wind turbine concept in that the point of reference for the wind energy extractor is the ground instead of the vehicle. But instead of dropping an anchor, you're tying to the ground speed through tires, and instead of shuttling the turbine from the back to the front, you're continuously advancing it with the gear mechanism, and instead of driving with an electric motor you're directly using the drag force.
- IgorPartola 5y agoIn your static example how does the turbine get back to the front of the vehicle? Does the force of the wind push it there? If so, if the wind is blowing at 10 knots but the base of the vehicle is moving at 20 then as far as the turbine is concerned it is actually being pushed backwards, no? Or is the idea that when you lift the anchor the vehicle slows to below wind speed while the turbine gets pushed?
- LeifCarrotson 5y agoFor that 'spherical cow' example, assume that the vehicle has batteries to average out the duty cycle while the turbine is going back to the front. Fold the mast down flat and stow the blades so it has minimal air resistance, assume it has minimal weight, and let an electric motor zip it back to the front of the vehicle at 100 knots ground-speed or 90 knots into the wind, if you're moving forward at 20 knots this gives you an 80% duty cycle. The critical thing to glean from the example is that when it's anchored, the 10 knot ground speed wind is generating power at the turbine, and this has absolutely nothing to do with the speed of the vehicle. Yes, in the real world, there are all kinds of problems with actually building such a vehicle, and the folding and weight and efficiency and timing and air resistance and rigidity and friction and so on would make it hard to actually get it to work. But these are all purely engineering problems, the physics obviously work!