Wind Speed at Height above Surface in form of near Surface Wind Profile Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
U = (Vf/k)*(ln(Z/z0)-φ*(Z/L))
This formula uses 1 Functions, 7 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.
Universal Similarity Function - Universal Similarity Function characterizing the effects of Thermal Stratification.
Parameter with Dimensions of Length - Parameter with Dimensions of Length that represent the relative strength of thermal stratification.
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
Universal Similarity Function: 0.07 --> No Conversion Required
Parameter with Dimensions of Length: 110 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
U = (Vf/k)*(ln(Z/z0)-φ*(Z/L)) --> (6/0.4)*(ln(8/6.1)-0.07*(8/110))
Evaluating ... ...
U = 3.99092792114492
STEP 3: Convert Result to Output's Unit
3.99092792114492 Meter per Second --> No Conversion Required
FINAL ANSWER
3.99092792114492 3.990928 Meter per Second <-- Wind Speed
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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NSS College of Engineering (NSSCE), Palakkad
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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 above Surface in form of near Surface Wind Profile Formula

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))
U = (Vf/k)*(ln(Z/z0)-φ*(Z/L))

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.

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 10 m above the ground for every grid point of the model (ca. every 80 km). Generally, the actually observed wind velocity at 10 m above ground is a little bit lower than the modelled one.

How to Calculate Wind Speed at Height above Surface in form of near Surface Wind Profile?

Wind Speed at Height above Surface in form of near Surface Wind Profile calculator uses 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)) to calculate the Wind Speed, The Wind Speed at Height above Surface in form of near Surface Wind Profile formula is defined as a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature at any height above the surface. Wind Speed is denoted by U symbol.

How to calculate Wind Speed at Height above Surface in form of near Surface Wind Profile using this online calculator? To use this online calculator for Wind Speed at Height above Surface in form of near Surface Wind Profile, enter Friction Velocity (Vf), Von Kármán Constant (k), Height z above Surface (Z), Roughness Height of Surface (z0), Universal Similarity Function (φ) & Parameter with Dimensions of Length (L) and hit the calculate button. Here is how the Wind Speed at Height above Surface in form of near Surface Wind Profile calculation can be explained with given input values -> 3.990928 = (6/0.4)*(ln(8/6.1)-0.07*(8/110)).

FAQ

What is Wind Speed at Height above Surface in form of near Surface Wind Profile?
The Wind Speed at Height above Surface in form of near Surface Wind Profile formula is defined as a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature at any height above the surface and is represented as U = (Vf/k)*(ln(Z/z0)-φ*(Z/L)) or 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)). 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, Universal Similarity Function characterizing the effects of Thermal Stratification & Parameter with Dimensions of Length that represent the relative strength of thermal stratification.
How to calculate Wind Speed at Height above Surface in form of near Surface Wind Profile?
The Wind Speed at Height above Surface in form of near Surface Wind Profile formula is defined as a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature at any height above the surface is calculated using 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)). To calculate Wind Speed at Height above Surface in form of near Surface Wind Profile, you need Friction Velocity (Vf), Von Kármán Constant (k), Height z above Surface (Z), Roughness Height of Surface (z0), Universal Similarity Function (φ) & Parameter with Dimensions of Length (L). With our tool, you need to enter the respective value for Friction Velocity, Von Kármán Constant, Height z above Surface, Roughness Height of Surface, Universal Similarity Function & Parameter with Dimensions of Length 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, Universal Similarity Function & Parameter with Dimensions of Length. 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 = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface)
  • Wind Speed = sqrt(Wind Stress/Coefficient of Drag to 10m Reference Level)
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