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Engineering ToolBox > Wind Shear

Wind is slowed at the surface by trees and obstructions

Wind moving across the Earth's surface is slowed by obstructions like buildings, trees and similar and the wind velocity increases with altitude.

The wind shear can be expressed as

v / vo = (h / ho)α (1)

where

v = the velocity at height h (m/s)

vo = the velocity at height ho (m/s)

α = the wind shear exponent

The wind shear exponent varies with the terrain.

Terrain Wind Shear Exponent
Open water 0.1
Smooth, level, grass-covered 0.15
Row crops 0.2
Low bushes with a few trees 0.2
Heavy trees 0.25
Several buildings 0.25
Hilly, mountainous terrain 0.25

Example - Wind Velocity at Terrain with Several Buildings

If the wind velocity at level 10 m is measured to 5 m/s, the wind velocity at level 40 m can estimated by transforming (1) to

v = (h / ho)α vo (1b)

Substituting with values

v = (40 / 10)0.2 5

    = 6.6 m/s

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