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

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

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GoWind Speed at Height z above Surface Formula

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Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature. Check FAQs

U = (\frac{V f}{k}) \cdot (\ln (\frac{Z}{z 0}) - φ \cdot (\frac{Z}{L}))

U - Wind Speed?V_f - Friction Velocity?k - Von Kármán Constant?Z - Height z above Surface?z₀ - Roughness Height of Surface?φ - Universal Similarity Function?L - Parameter with Dimensions of Length?

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

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Here is how the Wind Speed at Height above Surface in form of near Surface Wind Profile equation looks like with Values.

Here is how the Wind Speed at Height above Surface in form of near Surface Wind Profile equation looks like with Units.

Here is how the Wind Speed at Height above Surface in form of near Surface Wind Profile equation looks like.

3.9909 = (\frac{6}{0.4}) \cdot (\ln (\frac{8}{6.1}) - 0.07 \cdot (\frac{8}{110}))

3.9909m/s = (\frac{6m/s}{0.4}) \cdot (\ln (\frac{8m}{6.1m}) - 0.07 \cdot (\frac{8m}{110}))

3.9909 = (\frac{6}{0.4}) \cdot (\ln (\frac{8}{6.1}) - 0.07 \cdot (\frac{8}{110}))

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

Follow our step by step solution on how to calculate Wind Speed at Height above Surface in form of near Surface Wind Profile?

FIRST Step Consider the formula

U = (\frac{V f}{k}) \cdot (\ln (\frac{Z}{z 0}) - φ \cdot (\frac{Z}{L}))

Next Step Substitute values of Variables

∴

U = (\frac{6m/s}{0.4}) \cdot (\ln (\frac{8m}{6.1m}) - 0.07 \cdot (\frac{8m}{110}))

Next Step Prepare to Evaluate

∴

U = (\frac{6}{0.4}) \cdot (\ln (\frac{8}{6.1}) - 0.07 \cdot (\frac{8}{110}))

Next Step Evaluate

∴

U = 3.99092792114492m/s

LAST Step Rounding Answer

∴

U = 3.9909m/s

Wind Speed at Height above Surface in form of near Surface Wind Profile Formula Elements

Variables

Functions

Wind Speed

Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.

Symbol: U

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Friction Velocity

Friction Velocity, also called shear velocity, is a form by which a shear stress may be re-written in units of velocity.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

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.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Height z above Surface

Height z above Surface where the Wind Speed is measured.

Symbol: Z

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Roughness Height of Surface

Roughness Height of Surface is the height of the roughness of the surface.

Symbol: z₀

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Universal Similarity Function

Universal Similarity Function characterizing the effects of Thermal Stratification.

Symbol: φ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Parameter with Dimensions of Length

Parameter with Dimensions of Length that represent the relative strength of thermal stratification.

Symbol: L

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

ln

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Credits

Creator Image

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Formula and 2000+ more formulas!

Verifier Image

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Formula and 1700+ more formulas!

Other Formulas to find Wind Speed

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

U = \frac{V 10}{{(\frac{10}{Z})}^{\frac{1}{7}}}

Go Wind Speed at Height z above Surface

U = (\frac{V f}{k}) \cdot \ln (\frac{Z}{z 0})

Other formulas in Estimating Marine and Coastal Winds category

Go Wind Speed at Standard 10-m Reference Level

V 10 = U \cdot {(\frac{10}{Z})}^{\frac{1}{7}}

Go Height z above Surface given Standard Reference Wind Speed

Z = \frac{10}{{(\frac{V 10}{U})}^{7}}

See More

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Wind Speed at Height above Surface in form of near Surface Wind Profile using this online evaluator? To use this online evaluator for Wind Speed at Height above Surface in form of near Surface Wind Profile, enter Friction Velocity (V_f), 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.

FAQs on Wind Speed at Height above Surface in form of near Surface Wind Profile

What is the formula to find Wind Speed at Height above Surface in form of near Surface Wind Profile?

The formula of Wind Speed at Height above Surface in form of near Surface Wind Profile is expressed as 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)). Here is an example- 3.990928 = (6/0.4)*(ln(8/6.1)-0.07*(8/110)).

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

With Friction Velocity (V_f), Von Kármán Constant (k), Height z above Surface (Z), Roughness Height of Surface (z₀), Universal Similarity Function (φ) & Parameter with Dimensions of Length (L) we can find Wind Speed at Height above Surface in form of near Surface Wind Profile using the 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)). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Wind Speed?

Here are the different ways to Calculate Wind Speed-

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)

Can the Wind Speed at Height above Surface in form of near Surface Wind Profile be negative?

No, the Wind Speed at Height above Surface in form of near Surface Wind Profile, measured in Speed cannot be negative.

Which unit is used to measure 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 is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Wind Speed at Height above Surface in form of near Surface Wind Profile can be measured.

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