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Going Faster Than the Wind In a Wind-Powered Cart

Shawnconna writes "Can a wind cart travel faster than the wind? A group of makers say, 'Yes!' Make: Online has published a story about the Blackbird wind cart that just set a record. This is a follow-up to an earlier story in which Charles Platt built a cart based on a viral video where a guy claimed he'd built a wind-powered vehicle that could travel downwind faster than the windspeed. Charles built one and said it didn't work. Heated debates broke out in forums, on BB, and elsewhere on the Net. In the ensuing time, a number of people have built carts and claimed success, most principally, Rick Cavallaro. He got funding from Google and JOBY to build and test a human-piloted cart. They claim success, with multiple sensor systems on board, impartial judges and experts in attendance."

47 of 315 comments (clear)

  1. Two words by Anonymous Coward · · Score: 2, Funny

    TACO Bell

  2. store and release energy? by BBrown · · Score: 2, Insightful

    I probably am just thinking about this too simply, but can't something go faster than the wind if it stores some of that energy and uses it later?

    1. Re:store and release energy? by Anonymous Coward · · Score: 2, Funny

      That's not the point. They show that they can go straight downwind (i.e. in the same direction as the wind) faster than the wind with nothing but the wind at the same time for the energy source.

    2. Re:store and release energy? by Whammy666 · · Score: 5, Informative

      Not necessary to store energy to go faster than the wind.

      The reason this works is that the propeller is able to "push off" against the tail wind. Think of it like sitting on a skateboard and pushing off from a moving wall behind you with your arm. The difficulty in making it work is that you need very little drag and a very efficient propeller. But the energy equations for traveling faster than the wind do balance and there is no violation of energy conservation.

      --
      When all else fails, run.
    3. Re:store and release energy? by maxwell+demon · · Score: 2, Informative

      Actually, the opposite is the case: The propeller is used to take energy from the wind, which is then used to drive the wheels and move the vehicle forward. This is most easily seen if looking at it on its own frame of reference. At stationary speed the wind comes from the front (because it's moving faster than the wind), while the road underneath goes backwards. The propeller takes energy from that wind and uses that energy to drive the wheels, which then keep the vehicle in place, against the forces of the wind and the road, which both try to move it backwards.

      --
      The Tao of math: The numbers you can count are not the real numbers.
    4. Re:store and release energy? by marcansoft · · Score: 5, Informative

      Nope, you've got it backwards, the GP got it right, and this is absolutely the key to understanding how this works.

      The car isn't using the propeller as a turbine as a source of energy to power the wheels. That, indeed, would be impossible, because once you reach wind speed the force exerted on the propeller is zero.

      Instead, it works the other way around, as a fan to push air backwards and accelerate the car. The energy is transfered from the wheels to the fan.

      Assume that, to begin with, the car is moving at wind speed. The wheels are spinning (because the car is moving) and you can use that energy (i.e. brake the car) to push the propeller. The propeller blows air backwards, which propels the car forwards. If your mechanism is efficient enough, that push more than counteracts the braking action on the wheels and the car actually accelerates forwards. As it accelerates, the efficiency drops and it eventually stabilizes at some speed, faster than the wind.

      Now everyone is shouting "Perpetual motion! You're producing more energy with the fan than you're getting out of the wheels!". Nope. That's the final bit. Let's say that wind speed is 10km/h. If the car is moving at 11km/h (faster than the wind), then the motion on the wheels relative to the ground is 11km/h. However, the fan only has to push air backwards at 1km/h, as the wind is doing the rest and providing the base 10km/h of forward motion. This difference in velocity is what offsets the inevitable energy losses: the ground speed is whatever you're generating with the fan plus the velocity of the wind "for free". This "free velocity" goes down (as a fraction of total velocity) as you accelerate, until it matches the (in)efficiency of the system (energy loss), and this is the stable velocity that the car achieves, faster than the wind.

      This really isn't an issue with perpetual motion. It's easy to see that you could use a stationary turbine to generate (say, electric) power from the wind, and then use that power to accelerate a car (say, powered by a laser, so it is not tethered) in a different (windless) location faster than the original wind. Output velocity can be greater than input velocity. The difficulty lies in grasping the interesting mechanics and interactions of the downwind-faster-than-the-wind car uses to achieve this within the original wind itself. It's a mechanics puzzle, not an energy conservation puzzle. Another way to look at it is that the energy lies in the difference between the velocity of the wind and the ground, and the car always has access to both of these moving entities via friction (friction with the wind, and friction of the wheels with the ground), and thus can harness that power regardless of what its own velocity is.

    5. Re:store and release energy? by marcansoft · · Score: 3, Informative

      On a treadmill, if the vehicle is moving forward (relative to the observer, not the treadmill belt), then it is moving faster than the wind (which is moving at velocity zero relative to the observer). It is simply a change of frame of reference. If you place the observer on the treadmill's belt, then the wind is blowing forwards as fast as the outside world is moving forwards, and the vehicle is moving forwards faster than that. On the flip side, if you take the real-world DWFTTW vehicle example, and place the observer on a balloon moving with the wind, then (just as in the treadmill scenario) the wind is moving at zero velocity relative to you, the ground is moving backwards (just like a giant treadmill), and the vehicle is moving forwards faster than you (just like in the treadmill example the car moves forwards relative to an outside observer, even though the treadmill moves backwards).

      To answer the GP, see my post above. Everyone (including myself at first) immediately assumes this is a turbine-powered car using a wind turbine to drive the wheels. That's backwards, it's a sailcar (simply pushed by the wind) which in addition to that uses the wheels as generators to drive a fan (not a turbine) to push air backwards and increase thrust, thus actually achieving faster than wind speed.

    6. Re:store and release energy? by leehwtsohg · · Score: 2, Interesting

      You should read the discover article on the thing. I was saying exactly the same as you before I did. The gist of it is this: Imagine the car going exactly at the speed of the wind. In the car there is no wind, except that the ground is moving. The ground moving turns the wheels powers the propellor, which rotates and gives the car a force forward. Since wind speed is 0, there is no resistance, no force to counter the propellors force, the car will now accelerate, i.e. start going faster than the wind. Once you accept that it will then go faster than the wind, the only question is how much faster. (The ground acting on the wheels will exert an very small force on the car, which can be made infinitesimal by reducing the friction)

    7. Re:store and release energy? by marcansoft · · Score: 3, Informative

      It's simple: the vehicle must be able to move forwards faster than the wind forever, as long as the wind keeps blowing. In other words, the energy stored in the moving parts must not decrease and eventually cause it to stop working. Or in yet other words: the system must achieve a steady state where energy is flowing in and out at a constant rate, while traveling faster than the wind.

      For a race where time matters, energy input initially into the system is relevant. However, for the purposes of proving that DWFTTW is possible, it isn't. Any amount of energy added initially will by necessity be dissipated in the friction losses of the system - you can't run a car forever on a fixed amount of energy. If it can, in fact, run forever on a steady wind, then you can discount any initially applied or stored energy, and conclude that it is being powered solely by the wind. If it does that while going faster than the wind, then you can conclude that DWFTTW is possible.

    8. Re:store and release energy? by Bigjeff5 · · Score: 3, Informative

      You do realize that NALSA certified it, right? As in they checked all these things?

      They installed a bracket on the shaft to ensure the propeller never drives the wheels, so all the momentum of the propeller is going to be able to do is allow the propeller to continue spinning. It never, ever, drives the wheels.

      Anyway, it's way beyond theoretical. The current land sailing speed record is 3.15 times wind speed 126mph in a 40mph crosswind, fast!), set with a traditional land sail in a crosswind. It was set the same day NALSA certified the first DDWFTTW record.

      Here's the explanation of the physics: http://en.wikipedia.org/wiki/Sailing_faster_than_the_wind

      --
      Security is mostly a superstition... Avoiding danger is no safer in the long run than outright exposure. - Helen Keller
    9. Re:store and release energy? by marcansoft · · Score: 2, Informative

      So while the vehicle might be traveling faster than the wind in burst, it won't get you any place faster than the next wind powered vehicle.

      .
      The vehicle accelerates to a a speed faster than the wind, then stays at that speed forever (as long as the speed of the wind is constant) and does not oscillate. It really will get you to your destination faster than e.g. a balloon traveling at precisely the speed of the wind.

      There is a feedback loop, but it works like this: there is a wind velocity X, and a stable velocity Y for said X, where Y>X (for a properly designed vehicle using this technique). If the velocity momentarily exceeds Y, the friction losses of the wheels will be greater than the gain in push from the fan, and the car will slow down. If the velocity momentarily drops below Y, the friction losses of the wheels will be lower than the push from the fan, and the car will accelerate forward. It stabilizes at Y, faster than X. The feedback loop keeps it at that stable Y.

    10. Re:store and release energy? by marcansoft · · Score: 2, Interesting

      Well said. I think it should be possible to gain some amount of velocity greater than wind speed on a sailboat with an added fan connected to an underwater turbine, but I'm not sure if the fractional speed gained will be useful. It would be a very cool demo to try, though, and even achieving 5% over wind speed would be very interesting.

      I think the main problem with a boat is that you have a massive amount of friction with the ground (the water), while on a car the axle friction of the wheels can be made very small. On a boat, you need a large sail to extract a large amount of energy from the wind to overcome this friction and achieve a significant fraction of the speed of the wind, while a lightweight ground vehicle with a small sail can easily achieve a speed very close to that of the wind. On a boat, the friction with the water is hard to direct towards some kind of turbine and not towards the hull of the boat, while on a car you can easily use wheel motion almost exclusively to turn the fan (fully static friction between the wheel and ground), expending a relatively small amount of the energy as friction on the axle. I think this might very significantly undermine the ability to "port" this trick to a boat. I hope someone proves me wrong, though :)

    11. Re:store and release energy? by robbak · · Score: 2, Interesting

      This is what I first thought. But you are thinking of speeds gained in cross-wind situations, where sail-powered crafts easily travel faster than the wind speed.

      This is faster than wind-speed in downwind situations, "spinnaker legs", in other words. Took me a few minutes to get my head around the physics, but the concept is simple once you have the idea. The grandparent is a very good, if a little long-winded (oh groan) explanation.

      --
      Prediction for end of Universe #42: Fencepost error in Quantum_bogosort.cpp
    12. Re:store and release energy? by Iron+Condor · · Score: 3, Informative

      So here's a question for everyone: could you make it work in a boat?

      Yes.

      --
      We're all born with nothing.
      If you die in debt, you're ahead.
    13. Re:store and release energy? by Cecil · · Score: 2, Insightful

      That actually depends entirely on which frame of reference you choose to view the problem in. It is therefore both subjective and inaccurate.

    14. Re:store and release energy? by Fnkmaster · · Score: 2, Interesting

      If you look at Rick Cavallero's replies to posts here, you'll see he directly answers that question, clarifying that there is a ratchet to prevent the propeller from directly turning the wheels (i.e. only the wheels can turn the propeller). This was how they proved to NALSA that they were not using stored energy from the propeller as a flywheel to accelerate the vehicle.

    15. Re:store and release energy? by Alsee · · Score: 2, Insightful

      First lets imagine zero wind, the car traveling 100 mph, and lets assume that all components of the car operate with 100% efficiency.

      We tie a perfect generator to the wheels to extract 100 watts of power. Conservation of energy says it will apply a force slowing the car down. We pipe the 100 watts running a perfect propeller. It applies a force speeding the car up. If all components are perfect, conservation of energy says the car will go at a constant 100 mph forever. Perfect balance.

      Now lets break that perfect balance. Imagine there's a 50 mph wind. That wind is slower than the car, but now the car only sees a 50 mph headwind instead of a 100 mph headwind. Everything else the car sees is identical. In effect we just added 50 mph to the propeller's thrust. The car is going to accelerate. The wind is slower than the car, but by breaking the balance between wheel and propeller that wind is effectively adding energy to the car.

      Now of course we go back to reality where the drive system is less than 100% efficient. If the energy being effectively added by the wind is greater than efficiency losses then the car will speed up.

      The wheels travel a large distance over the ground, but because of the wind the propeller sees itself traveling a shorter distance through the air. The key point is that energy = force * distance.

      The wheels experience a small force * large distance.
      The propeller experiences a large force * small distance.

      small force * large distance = large force * small distance

      Power at the wheels = power at the propeller.
      Large propeller thrust - small wheel drag = net acceleration.

      -

      --
      - - You can't take something off the Internet! That's like trying to take pee out of a swimming pool.
  3. Duh? by Annymouse+Cowherd · · Score: 2, Interesting

    If sailboats can travel faster than the wind, of course wind-powered carts can.

    1. Re:Duh? by camperdave · · Score: 4, Funny

      It should be easier than in a sailboat. After all, all you need to do is find a steep enough hill.

      --
      When our name is on the back of your car, we're behind you all the way!
    2. Re:Duh? by Lonedar · · Score: 2, Informative

      They can, but not directly downwind - which is what the article claims the cart can do.

    3. Re:Duh? by gotpaint32 · · Score: 4, Informative

      I think they are overcoming that particular limitation with the propellor which is technically approaching the wind indirectly.

      --
      Nuclear war would really set back cable. - Ted Turner
    4. Re:Duh? by Lonedar · · Score: 2, Informative

      Right, but I just cannot see what keeps the propeller turning once the cart hits windspeed, as at that point the apparent wind would be 0.

    5. Re:Duh? by beaker8000 · · Score: 4, Informative

      In a sailboat or iceboat, to travel faster than the wind you head about 45 degrees off of the direction from which the wind is coming (called 'reaching'). The sails then work as airfoils, creating lower pressure on the outside of the sails, which in conjunction with the keel propel you forward damn fast if you choose (iceboats sometime 4-5 times the speed of the wind). However, when you are 'running' (heading directly downwind) the sails are not working as airfoils, but function merely as a wall the wind hits that propels you forward. You don't go faster than the wind in this case. The article specifically mentions heading directly downwind.

    6. Re:Duh? by Psychotria · · Score: 2, Insightful

      Well, it depends on the traffic, obviously.

      It's funny you should say that because the first thing I noticed was the dust being generated by the vehicles alongside the contraption to film it; i.e. dust being raised by the vehicles alongside creating air currents that appear to be heading towards the contraption

    7. Re:Duh? by Edmund+Blackadder · · Score: 2, Informative

      The achievement here is going faster than the wind in the direction of the wind. This is something sailboats cannot do. Sailboats can only travel faster then the wind when they are at an angle to the wind (usually going against the wind).

  4. Re:Mythbusters by Anonymous Coward · · Score: 4, Funny

    Something almost scientific that ends with an explosion?

  5. Re:Of course by dougmc · · Score: 2, Informative

    They don't do it directly downwind, however -- they do it at an angle to the wind. This guy says he's doing it directly downwind.

    I'm skeptical of this claim -- though I'd like to see their analysis of why they say it works.

  6. Re:Of course by Brandano · · Score: 3, Informative

    it is possible, if what you do is to extract energy from the speed difference between the wind and the ground instead of that between the wind and the vehicle. Consider this greatly simplified concept: Build an enormous wheel, and set it up so that it has large sails around its circumference, between the thread and the shaft. Sat things up so that the sail will be closed or parallel to the wind when on top of the wheel, and perpendicular to it when on the bottom. The wind will push the sail, that will lever against the ground and cause the wheel to roll forward. Since the shaft is above the sail, it can travel faster than the wind even if the sail is slower,, and if the resistance of all the setup is small enough, you have something that travels faster than the wind, even if it's actually pushed by it

  7. Re:Couldnt you add to this design by Omnifarious · · Score: 2, Informative

    You are just adding a complicated energy storage mechanism and then having the energy collection mechanism disable itself for part of the time. It would be slower.

    You could get the car up to speed faster by having a sail that folded itself as soon as the amount of energy it was extracting dropped off. Maybe a triangle sail with the base of the triangle along the bed of the vehicle and the tip at the propellor axis. Then have it spring loaded in such a way that when wind was pushing into the sail it also resisted the spring that was trying to fold it up.

  8. Re:Of course by Anonymous Coward · · Score: 5, Informative

    For the more visual people: http://www.youtube.com/watch?v=k-trDF8Yldc

  9. The reason that I don't believe it. by 7-Vodka · · Score: 2, Insightful
    The reason that I don't believe this claim, is because physical demonstrations can be rigged. I want to see the mathematics. Is it too much to ask? I mean, they build lots of models, including expensive ones, they wrote articles claiming they can do it, they posted numerous videos on youtube claiming they can do it.... Where is the fucking math? Why it so hard to post it?

    The main reason nobody believes these clowns, is because they're not good at explaining how it works. I don't even see an attempt at it. Until then, what am I supposed to believe? My gut instinct or my lying eyes?

    --

    Liberty.

    1. Re:The reason that I don't believe it. by Whammy666 · · Score: 2, Informative

      The math is not too bad, but it does involve propeller theory which is where the magic happens. The goal is to make a propeller and cart that requires less energy than is provided by the wind pushing against the prop thrust. The energy supplied is:

      E = (wind speed * prop thrust) - (cart drag * ground speed).

      So if the energy required by the prop is less than E, the system works. You use the difference between cart speed - wind speed for the velocity of the air thru the prop.

      --
      When all else fails, run.
    2. Re:The reason that I don't believe it. by Eharley · · Score: 5, Informative

      Here's an analysis performed by Mark Drela of MIT (http://web.mit.edu/aeroastro/people/drela.html)

      http://www.boatdesign.net/forums/attachments/propulsion/28167d1231128492-ddwfttw-directly-downwind-faster-than-wind-ddw2.pdf

    3. Re:The reason that I don't believe it. by John+Hasler · · Score: 2, Insightful

      How about if you post your math showing that it cannot work?

      --
      Warning: this article may contain humor, sarcasm, parody, and perhaps even irony. Read at your own risk.
    4. Re:The reason that I don't believe it. by Bigjeff5 · · Score: 2, Informative

      So you're saying the North American Land Sailing Association is in the business of rigging official land speed record tests eh?

      For Christ's sake, land sails already go 2-3 times faster than the wind using the exact same principles used in these carts. This is not some kind of voodoo physics, it's simply maximizing the available energy.

      I'll break it down for you, since you obviously didn't bother to read the article where they already explained it and since I'm such a nice guy:

      At a dead stop, the propeller acts like a sail. The wind pushes against it, pushing the cart forward. As the cart moves forward the wheels turn the propeller. The cart continues to accelerate, which in turn spins the prop faster. Well before the cart reaches wind-speed, the propeller is providing a significant amount of pull, which continues to accelerate the cart, which continues to drive the wheels which continues to drive the propeller faster. The cart stops accelerating when drag and wind-speed cancel out the propeller's pull.

      Here's the math for you: tail-wind = 10mph, cart speed = 28 mph. 28mph/10mph = 2.8 times wind-speed.

      Better?

      In case you are interested, the land sailing speed record was set the same day with 126mph in a 40mph cross-wind. That's 3.15 times wind-speed. I can do the math again for you, if you like.

      The physics work just fine, and they have for a couple hundred years now. It's the whole reason triangular sails were invented for heaven's sake! The sailing folks have it rough though, so much drag means the world sailing speed record is only about 20% faster than wind speed.

      This is just a new application of old, well known and well established physics.

      --
      Security is mostly a superstition... Avoiding danger is no safer in the long run than outright exposure. - Helen Keller
  10. Re:In this atmosphere... by maxwell+demon · · Score: 2, Funny

    ...we obey the laws of thermodynamics.

    I don't! :-)

    --
    The Tao of math: The numbers you can count are not the real numbers.
  11. I don't think you understand science by SmallFurryCreature · · Score: 4, Interesting

    It is not the job of engineers or gods to figure out the science. That is for the scientists. Apples fell from trees long before Newton thought about it.

    The scientists can be skeptical, they can demand reproducible tests, but once the tests have been done it is THEIR job to find an explanation, NOT that of the engineers.

    These guys build something, they opened themselves up to a lot of tests, so either you make some real accusations and not just "idiot slashdotter doesn't understand so it must be fake" or start to work out the math or just accept that you are an idiot along with everyone else and leave this to smarter people.

    But they do NOT have to explain to you how it works, they got far smarter people to convince, not some random kiddie on the net.

    --

    MMO Quests are like orgasms:

    You may solo them, I prefer them in a group.

    1. Re:I don't think you understand science by dcollins · · Score: 3, Informative

      You know, if you read the "fasterthanthewind" website, the story is that the math actually came first, and the first one of these vehicles was built later on, because -- guess what -- there were skeptics who refused to believe the math. In the modern era I'd argue it's rare for something to get invented without the physics having been done before that.

      We learned today that Andrew Bauer passed on Sept 6. As our blog followers will recall, Andrew Bauer was not the original inventor of the concept, but did build the first successful DDWFTTW cart that anyone seems to know of. He did this to settle a friendly wager with colleague and notable aero engineer A.M.O. Smith in 1969. As we understand, the wager was based on a claim in a student's paper, written 20 years before, that DDWFTTW should in fact be possible. In some small way JB and I have tried to model ourselves after Andrew by doing the engineering and demonstrating the principle - rather than simply proving it on paper.

      http://www.fasterthanthewind.org/

      --
      We know where leadership by an anti-intellectual "strongman" who scapegoats minorities and likes boisterous rallies goes
  12. Re:SImpler; just what sailboats do by sznupi · · Score: 2, Interesting

    The blades of the "propeller" (rotating sail) move sideways.

    --
    One that hath name thou can not otter
  13. L/D by florescent_beige · · Score: 2, Informative

    At first blush you would say if the lift/drag ratio of the sail/wing/apparatus is > 1 (plus a bit for drag) then a wind vehicle can go faster then the absolute flow speed.

    The complication is that the range of possible angles of attack you can achieve gets dictated to you by trigonometry. Example, if you are on a beam reach (traveling 90 deg to the prevailing wind) and your speed is equal to the prevailing wind, the apparent flow is rotated 45 deg fwd of abeam. Now, a typical wing might give you an L/D of 20 at something like 10 degres AoA, so you would set your wing (sail) at 55 degrees from abeam. Your lift vector would be 55+90+atan(1/20) ~ 148 degrees from abeam, or 58 degrees off your bow.

    Well, that's forward of abeam (90 degrees off the bow), so you have a component of lift pushing forward. It's then just a matter of getting the drag of your superstructure and rolling components down low enough to make that component sufficient to accelerate you just a bit, whereupon you are going faster than the wind.

    For a boat, the "rolling components" are another wing in the water (the keel) which imposes more trigonometric limitations that make it tricky but not impossible to achieve this. Normally if it is possible it happens on a broad reach. With rolling vehicles it should be easier.

    I don't know why people argue about this.

    --
    Equine Mammals Are Considerably Smaller
  14. Re:SImpler; just what sailboats do by sznupi · · Score: 2, Insightful

    What you again fail to understand - the sail moves sideways (sure, a quite specific case of sideways - it rotates; but there is no difference from the perspective of the wind)

    --
    One that hath name thou can not otter
  15. Re:upwind vs downwind by fbjon · · Score: 2, Interesting

    My conclusion: This is a storm in a teapot. The guy duped everyone by using the wrong terminology; he's actually traveling upwind (into the wind) by everyone else's definition. This is confirmed by the direction of the streamers in the video embedded in TFA.

    Wrong reasoning, wrong conclusion. The cart is indeed travelling downwind, i.e. in the same direction relative to the ground. Moreover, physics do not state that energy cannot be extracted from the wind when going faster than the wind, because you also need to think about the wind moving relative to the ground. That is the energy difference being extracted. The ultimate theoretical point where the cart cannot possibly accelerate any longer is when the wind speed relative to ground in the wake of the cart is zero. And finally, this experiment is not hard to do on your own in a small scale test.

    --
    True confidence comes not from realising you are as good as your peers, but that your peers are as bad as you are.
  16. Re:All depends by jc42 · · Score: 2, Interesting

    Yes, and iceboat races often have top speeds 3 or more times the wind speed. But it's not achieved when running downwind; it's when moving approximately at right angles to the wind. That's when the airfoil effect is the most effective. When you're aimed downwind, the sail is little more than a parachute, and can't move faster than the wind (though with the low friction of an iceboat's runners, you can get a ground speed pretty close to wind speed).

    The summary claims a "downwind" speed faster than the wind. Is this physically possible? I'd think that you could build a perpetual-motion machine if you could do this.

    --
    Those who do study history are doomed to stand helplessly by while everyone else repeats it.
  17. Re:All depends by wealthychef · · Score: 2

    OMG, we are going to hear all the same arguments here as have been posted elsewhere. Clearly the machine is going directly downwind faster than the wind. Look at the flags on the cart -- the are blowing first forward then backward. There is no gearing trickery. It's really happening. There are many videos, and you can build one yourself. I have not heard anyone build one and say it does not work except Mr. Platt and the inventors claim he built it wrong.
    What's interesting to me is that argument that at a nonzero angle, "of course" this is possible, but not directly downwind. I note that the blades of the propeller are angled at a nonzero angle -- is this a factor? I really don't understand that part.

    --
    Currently hooked on AMP
  18. Re:All depends by Software+Geek · · Score: 4, Insightful

    Why is it that you are comfortable with a device that travels upwind at 3 times the wind speed, but think that one that travels downwind at 3 times the wind speed is a perpetual motion machine?
    Clearly, any wind powered vehicle that travels faster than the wind in ANY direction must be harvesting energy from the velocity difference between the wind and the ground, not the velocity difference between the wind and the vehicle, or it would be a perpetual motion machine.

  19. Re:if this guys from MIT, we should all give up no by Alsee · · Score: 2, Informative

    Exactly what everyone wants to see, a mathematical proof. Of course if you look at his free body diagram and his second equation. You'll see that he has his force vector Fp going the wrong way.

    Fp is pointing in the correct direction, you merely misinterpreted the meaning of it.

    Ft is the drag force on the underwater turbine. It is a drag which tends to slow down the vehicle, but the important point is that we are actively drawing energy from it. And yes, it is preforming exactly the same function as the wheels on a bike. We put a load on the wheels to extract energy.

    Pt is the power that comes out f the turbine (or equivalently, the power we receive from putting a load on the wheels).

    Pp is the power we supply to the prop. This is the same as the power we obtained from Pt, less some negligible percentage of loss.

    Fp is the force CREATED by the power-driven prop.

    The Fp pointing forwards is greater than the Ft pointing backwards, which indicates a net acceleration.

    does not hold up to more than casual scrutiny.

    It fails under "casual scrutiny" because the overall operation is extremely counter intuitive. However the math does work out once I managed to wrap my brain around the strange arrangement of forces and energy flow.

    Your gut reaction is probably screaming that there MUST be a net energy loss in trying to extract energy from the turbine to drive the prop and that the prop's forward force MUST be less than the turbine's backwards drag. But you must remember that the wind is a source of energy relative to the water (or relative to the ground). That wind-water difference is an energy source, and that energy exists no matter how the vehicle might be moving. The trick is how to access that energy source while you're moving faster than the wind.

    Note that force and power are not equivalent. Power is energy over time, and energy is force through distance. The turbine is moving through the water while the prop moves through the air. There is a speed difference (and an energy difference) between the water and the air. The turbine moves a large distance through the water. A large distance times a small force generates one unit of power. The prop is moving in the air, and even though the vehicle is moving faster than the wind the wind greatly DECREASES the apparent speed of the prop relative to the air. Because of the wind, the prop only moves a relatively small distance through the air. The prop generates a large force over a relatively small distance, which costs one unit of power.

    Turbine extracting energy: small force * large distance = 1 energy extracted
    Prop consuming energy: large force * small distance = 1 energy consumed

    The equations balance. The large prop force accelerates the vehicle. The wind-water difference is the energy source. It's a very unintuitive arrangement, but it does successfully tap into the energy available in the wind-water difference, even when traveling faster than the wind. That energy source covers the inevitable inefficiencies in power transfer and it the pays the cost of accelerating the vehicle.

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  20. Velocity difference between wind and GROUND by OeLeWaPpErKe · · Score: 2, Informative

    Too bad I haven't got any mod points left. Yours is the best comment in this thread by far, illuminating the essential point :

    harvesting energy from the velocity difference between the wind and the ground, not the velocity difference between the wind and the vehicle