#64 by Paul Almond » Mar 07, 2011 3:16 am
I'll propose something simple, just to see if everyone can accept it.
"There is no violation of any physical laws, in principle, for a wind-powered vehicle to have an average downwind-speed which is greater than the wind speed."
I'll give a simple (and very impractical) vehicle design to show why this is the case.
THE ALMOND SILLY VEHICLE MK 1
The vehicle has a set of retractable wind turbines. When retracted, the wind turbines occupy negligible space, so do not cause any drag. When deployed, the wind turbines provide electrical power, which is used to charge a battery. The wind turbines can be retracted and deployed in a negligible amount of time, and the retraction and deployment processes use negligible energy. The wind turbines and the system used to retract or deploy them have negligible weight. The vehicle has wheel brakes, and if necessary can be assumed to have any other devices required to hold it stationary on the ground against any applied force. (e.g. assume it can drive spikes into the ground if you need to.)
The vehicle starts stationary with its wheel brakes on, together with anything else needed to hold it in place. The wind turbines are deployed. For some short time, TC, the wind turbines are used to charge the battery. The vehicle then retracts its wind turbines and accelerates very quickly, travelling at a high speed, V, for time TM, after which the battery is depleted. The vehicle uses its wheel brakes to stop quickly, deploys its turbines to charge the battery and so on.. The cycle repeats.
Now, one objection is going to be: "But you have to stop and charge the battery!" Yes, but the time taken to recharge the battery, for any speed V and time travelling at that speed, TM, can be made as small as you like by adding more wind turbines. Let's take this to an extreme. Suppose you want the vehicle to be stopped for only 1 second to charge the battery, and then to travel for one hour at a speed of 1,000mph under electrical power, before stopping for its next charge. In that 1 second you have to get enough energy from the wind turbines to power the vehicle for one hour of moving at 1,000mph. Suppose this amount of energy is E. If one wind turbine provides Q, then you merely need E/Q wind turbines. You might imagine a vehicle which deploys a billion wind turbines, for one second, to get its recharging done very quickly.
This means that, even if you include the time that the vehicle is stationary and recharging, the average speed of a wind powered vehicle over a long course can, in principle, be as high as you like (ignoring Einstein's relativity).
but do we need to stop? I will now propose a slightly different design.
THE ALMOND SILLY VEHICLE MK 2
This is similar to the MK 1 vehicle (above), except that the vehicle does not stop completely during the recharging process: it merely slows down so that its speed is slightly less than the wind speed. To recharge, the braking system is used, and the vehicle slows down so that its speed is slightly less than the wind speed. The wind turbines are deployed. The wind turbines can generate electricity because there is a very slight wind speed relative to the vehicle. The battery is charged while the braking system prevents the vehicle from accelerating. When recharging is complete, the braking system is turned off, the wind turbines are retracted, and the vehicle accelerates under battery power, travelling at high speed until its battery is used up, when the cycle repeats.
The only difference here is that more wind turbines will be needed. For example, say that we want a speed of 1,000mph for one hour between charges, the wind speed is 15mph and we want the vehicle to travel at 14mph during recharging, with recharging taking one second. We will only have a wind speed relative to the vehicle of 1mph during battery charging, and we only have 1 second to get enough energy for 1 hour of travel at 1,000mph - so we will need a lot of wind turbines. The point is that any issues here are just practical ones: I don't see any violations of conservation of energy, for example, here.
This means that the average speed of a wind powered vehicle over a long course can, in principle, be as high as you like (ignoring Einstein's relativity), if the vehicle spends at least some time, which can be arbitrarily short, travelling below the wind speed - though this can be as close to the wind speed as you want. This does not mean that this is a requirement - merely that it should be trivially apparent that it is possible to do this.
Is any of the above contentious?
If I ever start making posts like "On the banning and partial banning of words!" then I view my life as less than worthless and I hope that my friends here would have a collection to pay for ninjas to be sent to my home to kill me*. (*=humanely)