Friction Velocity given Wind Stress Calculator

✖Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water.ⓘ Wind Stress [τ_o]			+10% -10%
✖Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.ⓘ Density of Air [ρ]			+10% -10%
✖Water Density is mass per unit of water.ⓘ Water Density [ρ_Water]			+10% -10%

✖Friction velocity, also called Shear velocity, is a form by which a shear stress may be re-written in units of velocity.ⓘ Friction Velocity given Wind Stress [V_f]

⎘ Copy

👎

Formula

✖

Friction Velocity given Wind Stress

Formula

`"V"_{"f"} = sqrt("τ"_{"o"}/("ρ"/"ρ"_{"Water"}))`

Example

`"34.06014m/s"=sqrt("1.5Pa"/("1.293kg/m³"/"1000kg/m³"))`

Calculator

LaTeX

Reset

👍

Download Meteorology and Wave Climate Formulas PDF

Friction Velocity given Wind Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Friction Velocity = sqrt(Wind Stress/(Density of Air/Water Density))
V_f = sqrt(τ_o/(ρ/ρ_Water))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Wind Stress - (Measured in Pascal) - Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water.
Density of Air - (Measured in Kilogram per Cubic Meter) - Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.

STEP 1: Convert Input(s) to Base Unit

Wind Stress: 1.5 Pascal --> 1.5 Pascal No Conversion Required
Density of Air: 1.293 Kilogram per Cubic Meter --> 1.293 Kilogram per Cubic Meter No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = sqrt(τ_o/(ρ/ρ_Water)) --> sqrt(1.5/(1.293/1000))

Evaluating ... ...

V_f = 34.0601351645086

STEP 3: Convert Result to Output's Unit

34.0601351645086 Meter per Second --> No Conversion Required

FINAL ANSWER

34.0601351645086 ≈ 34.06014 Meter per Second <-- Friction Velocity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Meteorology and Wave Climate » Estimating Marine and Coastal Winds » Friction Velocity given Wind Stress

Credits

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

Rithik Agrawal has verified this Calculator and 400+ more calculators!

< 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

Friction Velocity given Wind Stress Formula

Friction Velocity = sqrt(Wind Stress/(Density of Air/Water Density))
V_f = sqrt(τ_o/(ρ/ρ_Water))

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 Friction Velocity given Wind Stress?

Friction Velocity given Wind Stress calculator uses Friction Velocity = sqrt(Wind Stress/(Density of Air/Water Density)) to calculate the Friction Velocity, The Friction Velocity given Wind Stress formula is defined as the form by which shear stress may be re-written in units of velocity. Friction Velocity is denoted by V_f symbol.

How to calculate Friction Velocity given Wind Stress using this online calculator? To use this online calculator for Friction Velocity given Wind Stress, enter Wind Stress (τ_o), Density of Air (ρ) & Water Density (ρ_Water) and hit the calculate button. Here is how the Friction Velocity given Wind Stress calculation can be explained with given input values -> 34.06014 = sqrt(1.5/(1.293/1000)).

FAQ

What is Friction Velocity given Wind Stress?

The Friction Velocity given Wind Stress formula is defined as the form by which shear stress may be re-written in units of velocity and is represented as V_f = sqrt(τ_o/(ρ/ρ_Water)) or Friction Velocity = sqrt(Wind Stress/(Density of Air/Water Density)). Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water, Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure & Water Density is mass per unit of water.

How to calculate Friction Velocity given Wind Stress?

The Friction Velocity given Wind Stress formula is defined as the form by which shear stress may be re-written in units of velocity is calculated using Friction Velocity = sqrt(Wind Stress/(Density of Air/Water Density)). To calculate Friction Velocity given Wind Stress, you need Wind Stress (τ_o), Density of Air (ρ) & Water Density (ρ_Water). With our tool, you need to enter the respective value for Wind Stress, Density of Air & Water Density 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 Friction Velocity?

In this formula, Friction Velocity uses Wind Stress, Density of Air & Water Density. We can use 3 other way(s) to calculate the same, which is/are as follows -

Friction Velocity = Von Kármán Constant*(Wind Speed/(ln(Height z above Surface/Roughness Height of Surface)))
Friction Velocity = (Height of Boundary Layer*Coriolis Frequency)/Dimensionless Constant
Friction Velocity = 0.0275*Geostrophic Wind Speed

Home

FREE PDFs

🔍 Search