Wind Speed at Height z above Surface Calculator

✖Friction Velocity, also called shear velocity, is a form by which a shear stress may be re-written in units of velocity.ⓘ Friction Velocity [V_f]			+10% -10%
✖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.ⓘ Von Kármán Constant [k]			+10% -10%
✖Height z above Surface where the Wind Speed is measured.ⓘ Height z above Surface [Z]			+10% -10%
✖Roughness Height of Surface is the height of the roughness of the surface.ⓘ Roughness Height of Surface [z₀]			+10% -10%

✖Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.ⓘ Wind Speed at Height z above Surface [U]

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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 = (V_f/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 = (V_f/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 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Estimating Marine and Coastal Winds Calculators

Wind Speed at Height z above Surface

LaTeX Go Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface)

Wind Speed at Height z above Surface given Standard Reference Wind Speed

LaTeX 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

LaTeX 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

LaTeX Go Height z above Surface = 10/(Wind Speed at Height of 10 m/Wind Speed)^7

Wind Speed at Height z above Surface Formula

LaTeX Go

Wind Speed = (Friction Velocity/Von Kármán Constant)*ln(Height z above Surface/Roughness Height of Surface)
U = (V_f/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 (V_f), 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 = (V_f/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 (V_f), 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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