1. Engineering
  2. Mechanical Engineering
  3. wind energy obtain a crude estimate of the maximum power...

Question: wind energy obtain a crude estimate of the maximum power...

Question details

Wind Energy: Obtain a crude estimate of the maximum power that a simple windmill can extract from the wind. Do this by first deriving a formula for the (macroscopic) kinetic energy of a cylinder of air moving at speed U and having density ρ that passes through a windmill rotor disc of diameter D in a time At. Dividing this kinetic energy by At yields an estimate of the maximum wind power that can be delivered. What effect does doubling the blade diameter have on the power extracted? How about doubling the wind speed? Substitute some reasonable numerical values (obtained, e.g., online) for p, U, and D to obtain a quantitative estimate of the maximum power that a single windmill could deliver. Please give your answer in both watts (W) and horsepower (hp). Noting that windmills are typically only 30% efficient and that a city of 1 million people requires 1000 MW of power, how many windmills would be required to power the city? What can you conclude about using wind power alone to meet the energy needs of modern urban society? 4.

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution