Wind Speed at Height z above Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface)
U = (Vf/k)*ln(Z/z0)
This formula uses 1 Functions, 5 Variables
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Wind Speed - (Measured in Meter per Second) - Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.
Friction Velocity - (Measured in Meter per Second) - Friction velocity, also called Shear velocity, is a form by which a shear stress may be re-written in units of velocity.
Von Kármán Constant - Von Kármán Constant is often used in turbulence modeling, for instance in boundary-layer meteorology to calculate fluxes of momentum, heat and moisture from the atmosphere to the land surface.
Height z above Surface - (Measured in Meter) - Height z above Surface where the Wind Speed is measured.
Roughness Height of Surface - (Measured in Meter) - Roughness Height of Surface is the height of the roughness of the surface.
STEP 1: Convert Input(s) to Base Unit
Friction Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required
Von Kármán Constant: 0.4 --> No Conversion Required
Height z above Surface: 8 Meter --> 8 Meter No Conversion Required
Roughness Height of Surface: 6.1 Meter --> 6.1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
U = (Vf/k)*ln(Z/z0) --> (6/0.4)*ln(8/6.1)
Evaluating ... ...
U = 4.06729155750856
STEP 3: Convert Result to Output's Unit
4.06729155750856 Meter per Second --> No Conversion Required
FINAL ANSWER
4.06729155750856 4.067292 Meter per Second <-- Wind Speed
(Calculation completed in 00.020 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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National Institute of Technology Karnataka (NITK), Surathkal
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24 Estimating Marine and Coastal Winds Calculators

Wind Speed at Height above Surface in form of near Surface Wind Profile
Go Wind Speed = (Friction Velocity/Von Kármán Constant)*(ln(Height z above Surface/Roughness Height of Surface)-Universal Similarity Function*(Height z above Surface/Parameter with Dimensions of Length))
Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant
Go Coefficient of Drag = (Von Kármán Constant/(ln(Height z above Surface/Roughness Height of Surface)-Universal Similarity Function*(Height z above Surface/Parameter with Dimensions of Length)))^2
Gradient of Atmospheric Pressure Orthogonal to Isobars given Gradient Wind Speed
Go Gradient of Atmospheric Pressure = (Gradient Wind Speed-(Gradient Wind Speed^2/(Coriolis Frequency*Radius of Curvature of Isobars)))/(1/(Density of Air*Coriolis Frequency))
Friction Velocity given Wind Speed at Height above Surface
Go Friction Velocity = Von Kármán Constant*(Wind Speed/(ln(Height z above Surface/Roughness Height of Surface)))
Wind Speed at Height z above Surface
Go Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface)
Wind Stress in Parametric Form
Go Wind Stress = Coefficient of Drag*(Density of Air/Water Density)*Wind Speed^2
Friction Velocity given Wind Stress
Go Friction Velocity = sqrt(Wind Stress/(Density of Air/Water Density))
Gradient of Atmospheric Pressure Orthogonal to Isobars
Go Gradient of Atmospheric Pressure = Geostrophic Wind Speed/(1/(Density of Air*Coriolis Frequency))
Geostrophic Wind Speed
Go Geostrophic Wind Speed = (1/(Density of Air*Coriolis Frequency))*Gradient of Atmospheric Pressure
Friction Velocity given Height of Boundary Layer in Non-Equatorial Regions
Go Friction Velocity = (Height of Boundary Layer*Coriolis Frequency)/Dimensionless Constant
Height of Boundary layer in Non-Equatorial Regions
Go Height of Boundary Layer = Dimensionless Constant*(Friction Velocity/Coriolis Frequency)
Wind Speed given Coefficient of Drag at 10-m Reference Level
Go Wind Speed = sqrt(Wind Stress/Coefficient of Drag to 10m Reference Level)
Wind Stress given Friction Velocity
Go Wind Stress = (Density of Air/Water Density)*Friction Velocity^2
Wind Speed at Height z above Surface given Standard Reference Wind Speed
Go Wind Speed = Wind Speed at Height of 10 m/(10/Height z above Surface)^(1/7)
Wind Speed at Standard 10-m Reference Level
Go Wind Speed at Height of 10 m = Wind Speed*(10/Height z above Surface)^(1/7)
Height z above Surface given Standard Reference Wind Speed
Go Height z above Surface = 10/(Wind Speed at Height of 10 m/Wind Speed)^7
Rate of Momentum Transfer at Standard Reference Height for Winds
Go Wind Stress = Coefficient of Drag to 10m Reference Level*Wind Speed^2
Coefficient of Drag at 10m Reference Level given Wind Stress
Go Coefficient of Drag to 10m Reference Level = Wind Stress/Wind Speed^2
Air-Sea Temperature Difference
Go Air-Sea Temperature Difference = (Air Temperature-Water Temperature)
Water Temperature given Air-Sea Temperature Difference
Go Water Temperature = Air Temperature-Air-Sea Temperature Difference
Air Temperature given Air-Sea Temperature Difference
Go Air Temperature = Air-Sea Temperature Difference+Water Temperature
Coefficient of Drag for Winds Influenced by Stability Effects
Go Coefficient of Drag = (Friction Velocity/Wind Speed)^2
Friction Velocity of Wind in Neutral Stratification as Function of Geostrophic Wind Speed
Go Friction Velocity = 0.0275*Geostrophic Wind Speed
Geostrophic Wind Speed given Friction Velocity in Neutral Stratification
Go Geostrophic Wind Speed = Friction Velocity/0.0275

Wind Speed at Height z above Surface Formula

Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface)
U = (Vf/k)*ln(Z/z0)

What is 10m Wind?

Surface wind is the wind blowing near the Earth's surface. The wind 10m chart displays the modelled average wind vector in 10 m above the ground for every grid point of the model (ca. every 80 km). Generally, the actual observed wind velocity at 10 m above ground is a little bit lower than the modelled one.

What is Friction Velocity?

Shear velocity, also called friction velocity, is a form by which shear stress may be rewritten in units of velocity. It is useful as a method in fluid mechanics to compare true velocities, such as the velocity of a flow in a stream, to a velocity that relates shear between layers of flow.

How to Calculate Wind Speed at Height z above Surface?

Wind Speed at Height z above Surface calculator uses Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface) to calculate the Wind Speed, The Wind Speed at Height z above Surface formula is defined as quantity caused by air moving from high to low pressure, usually due to changes in temperature. Wind Speed is denoted by U symbol.

How to calculate Wind Speed at Height z above Surface using this online calculator? To use this online calculator for Wind Speed at Height z above Surface, enter Friction Velocity (Vf), Von Kármán Constant (k), Height z above Surface (Z) & Roughness Height of Surface (z0) and hit the calculate button. Here is how the Wind Speed at Height z above Surface calculation can be explained with given input values -> 4.067292 = (6/0.4)*ln(8/6.1).

FAQ

What is Wind Speed at Height z above Surface?
The Wind Speed at Height z above Surface formula is defined as quantity caused by air moving from high to low pressure, usually due to changes in temperature and is represented as U = (Vf/k)*ln(Z/z0) or Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface). Friction velocity, also called Shear velocity, is a form by which a shear stress may be re-written in units of velocity, Von Kármán Constant is often used in turbulence modeling, for instance in boundary-layer meteorology to calculate fluxes of momentum, heat and moisture from the atmosphere to the land surface, Height z above Surface where the Wind Speed is measured & Roughness Height of Surface is the height of the roughness of the surface.
How to calculate Wind Speed at Height z above Surface?
The Wind Speed at Height z above Surface formula is defined as quantity caused by air moving from high to low pressure, usually due to changes in temperature is calculated using Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface). To calculate Wind Speed at Height z above Surface, you need Friction Velocity (Vf), Von Kármán Constant (k), Height z above Surface (Z) & Roughness Height of Surface (z0). With our tool, you need to enter the respective value for Friction Velocity, Von Kármán Constant, Height z above Surface & Roughness Height of Surface and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wind Speed?
In this formula, Wind Speed uses Friction Velocity, Von Kármán Constant, Height z above Surface & Roughness Height of Surface. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Wind Speed = Wind Speed at Height of 10 m/(10/Height z above Surface)^(1/7)
  • Wind Speed = sqrt(Wind Stress/Coefficient of Drag to 10m Reference Level)
  • Wind Speed = (Friction Velocity/Von Kármán Constant)*(ln(Height z above Surface/Roughness Height of Surface)-Universal Similarity Function*(Height z above Surface/Parameter with Dimensions of Length))
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