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Re:How the Biggest Plane Would Supersize Wind Energy by thsksbd on Saturday March 16, 2024 @02:27PM (#39728237)
Thats linear scaling [1] so its still scaling quadratically. Ax^2 + Bx is a quadratic, after all!

(Also, shouldn't the first order approx should neglect wind speed as a function of height?)

[1] actually worse. From Wiki entry for "Wind Gradient"

"Although the power law exponent approximation is convenient, it has no theoretical basis.[18] When the temperature profile is adiabatic, the wind speed should vary logarithmically with height,[19] Measurements over open terrain in 1961 showed good agreement with the logarithmic fit up to 100 m or so, with near constant average wind speed up through 1000 m.[20]"

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