Originally Posted by
ebaines
It can only work if the source of the wind is natural -if the wind speed > 0. Then sure - the windmill can get energy from the wind and convert it to electricity. But as I read the OP's post I assumed that he is asking whether the movement of air caused by the motion of the car could be used to power the car. And that's what can't possibly work. The calculations to show this are very straight-forward:
Assume as the car moves at velocity v the force of the wind on the windmill is F. Since power is equal to force times velocity, the power available that the windmill may be able to turn into electricity is Fv. Note that v equals both the speed of the car across the road and the speed of the air relative to the car. This power is converted to electrical energy by the windmill and generator, but suffers some amount of loss since no mechanism is 100% efficient. Some of the loss factors include turbulence in the air flow across the wind mill blades, friction in the gearing of the windmill and generator, inefficiencies within the generator in converting mechanical energy to electrical energy, resistance in the wiring, inefficiencies in the storage and recovery of electricity in the car batteries, ineffciencies in the conversion of electrical energy to mechanical in the car's electric motor, friction in the car's transmission, and friction of the car's tires against the road. The power available to move the car is therefore eFV, where e = the overall efficiency of the windmill and power train, and e is less than 1.
The power required to move the windmill against the air resistance F at speed v is FV. So the car requires a source of power equal rto FV in order for the windmill to generate power eFV. Since e<1, the power required to move the windmill against the wind is more than the power that is generated by the windmill. Therefore if you tried this on an electric car you would find that the car batteries are drained faster than if there was no windmill mounted on the car.
This can all be summed up by saying that you cannot construct a perpetual motion machine.