Formula Used:
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The Height z above Surface calculation determines the height above a surface where wind speed is measured, based on the relationship between wind speed at a standard reference height (10 meters) and the actual wind speed at the desired height.
The calculator uses the formula:
Where:
Explanation: This formula models the wind profile in the atmospheric boundary layer, where wind speed increases with height following a power law relationship.
Details: Accurate height calculation is crucial for wind energy assessment, meteorological studies, and engineering applications where wind loads need to be estimated at different heights above the ground surface.
Tips: Enter wind speed at 10m height and actual wind speed in m/s. Both values must be positive numbers greater than zero for valid calculation.
Q1: Why is the exponent 7 used in this formula?
A: The exponent 7 represents the power law exponent that describes how wind speed changes with height in the atmospheric boundary layer under neutral stability conditions.
Q2: What are typical height z values?
A: Height z values typically range from a few meters to several hundred meters above the surface, depending on wind speed conditions and surface roughness.
Q3: When should this calculation be used?
A: This calculation is particularly useful in wind energy applications, meteorological modeling, and structural engineering where wind loads need to be estimated at different heights.
Q4: Are there limitations to this formula?
A: The formula assumes neutral atmospheric stability and may be less accurate under strongly stable or unstable conditions. It also assumes homogeneous terrain.
Q5: How does surface roughness affect the calculation?
A: Surface roughness influences the wind profile and may require adjustment of the power law exponent for more accurate results in specific terrain conditions.