lecture04

# lecture04 - Wind Energy II Air density Wind speed Wind...

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ENGRI 1290 1 Wind Energy II Air density Wind speed Wind power density

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ENGRI 1290 2 Lecture’s objectives Computing wind power density Learning what physical conditions change the air (volumetric mass) density Discovering why wind speed widely varies around the world and the USA
ENGRI 1290 3 Wind kinetic energy near a turbine A d A u M M d v u v Turbine A v A flow of air of mass M moves from upstream (u) to downstream (d) passing through a turbine at a velocity v. This flow can be seen as a stream of air limited by streamlines. The streamlines represent an imaginary pipe surrounding the flow. What is the kinetic energy of the air passing through the turbine ? 2 k 1 E Mv 2 Since we are trying to find the kinetic energy near the turbine we need to transform M using the turbine characteristics (A, v). First we use a local value for the air mass … 2 k 1 E Vv 2 Since the volume of air at the turbine is AL and L=vt we get 2 k 1 E Avt v 2 which we rewrite as 3 k 1 E Av t 2 upstream downstream

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