# Vertical Wind Profile - Power Law

## Description

The design of buildings must account for wind loads, and these are affected by wind shear. For engineering purposes, a power law wind speed profile may be defined by a formula that calculates the wind speed v2 at a certain height h2 in relation to an original height h1 and speed v1, assuming a power law vertical profile of wind speed function of the shear exponent α in turn depending on the site.

For neutral stability conditions, {\displaystyle \alpha } \alpha is approximately 1/7, or 0.143.

Related formulas## Variables

v | wind speed at height z (m/s) |

v_{r} | known wind speed at reference height z_r (m/s) |

z | height (m) |

z_{r} | reference height (m) |

α | shear exponent (depends on the site) (dimensionless) |