Thermodynamics: An Engineering Approach 6th Edition, Yunus A. Cengel, Michael A.

Question

Thermodynamics: An Engineering Approach 6th Edition, Yunus A. Cengel, Michael A. Boles, problem 2-16, Two sites are being considered for wind power generation. In the first site, the wind blows steadily at 7 m/s for 3000 hours per year, whereas in the second site the wind blows at 10 m/s for 2000 hours per year. Assumming the wind velocity is negligible at other times for simplicity, determine which is a better site for wind power generation. Hint:Note that the mass flow rate of air is proportional to wind velocity.

Explanation / Answer

Power produced by a wind turbine at any given instant is proportional to the CUBE of the wind speed. This assumes COMMON air density, common blade sweep area, and common performance coefficient. Multiply the combination of time*windspeed^3. Compare and contrast. Which site has a greater value? 3000*7^3 = 1029000 2000*10^3 = 2000000 You want to use the second site. Energy (site 2)/Energy(site 1) = 0.5145.

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