Wind Stress given Friction Velocity Calculator

✖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 [V_f]			+10% -10%

✖Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water.ⓘ Wind Stress given Friction Velocity [τ_o]

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Wind Stress given Friction Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wind Stress = (Density of Air/Water Density)*Friction Velocity^2
τ_o = (ρ/ρ_Water)*V_f^2
This formula uses 4 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Friction Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_o = (ρ/ρ_Water)*V_f^2 --> (1.293/1000)*6^2

Evaluating ... ...

τ_o = 0.046548

STEP 3: Convert Result to Output's Unit

0.046548 Pascal --> No Conversion Required

FINAL ANSWER

0.046548 Pascal <-- Wind Stress

(Calculation completed in 00.017 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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 Stress given Friction Velocity Formula

LaTeX Go

Wind Stress = (Density of Air/Water Density)*Friction Velocity^2
τ_o = (ρ/ρ_Water)*V_f^2

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 Stress given Friction Velocity?

Wind Stress given Friction Velocity calculator uses Wind Stress = (Density of Air/Water Density)*Friction Velocity^2 to calculate the Wind Stress, The Wind Stress given Friction Velocity formula is defined as shear stress exerted by the wind on the surface of large bodies of water – such as oceans, seas, estuaries and lakes. Wind Stress is denoted by τ_o symbol.

How to calculate Wind Stress given Friction Velocity using this online calculator? To use this online calculator for Wind Stress given Friction Velocity, enter Density of Air (ρ), Water Density (ρ_Water) & Friction Velocity (V_f) and hit the calculate button. Here is how the Wind Stress given Friction Velocity calculation can be explained with given input values -> 0.046548 = (1.293/1000)*6^2.

FAQ

What is Wind Stress given Friction Velocity?

The Wind Stress given Friction Velocity formula is defined as shear stress exerted by the wind on the surface of large bodies of water – such as oceans, seas, estuaries and lakes and is represented as τ_o = (ρ/ρ_Water)*V_f^2 or Wind Stress = (Density of Air/Water Density)*Friction Velocity^2. 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 & Friction Velocity, also called shear velocity, is a form by which a shear stress may be re-written in units of velocity.

How to calculate Wind Stress given Friction Velocity?

The Wind Stress given Friction Velocity formula is defined as shear stress exerted by the wind on the surface of large bodies of water – such as oceans, seas, estuaries and lakes is calculated using Wind Stress = (Density of Air/Water Density)*Friction Velocity^2. To calculate Wind Stress given Friction Velocity, you need Density of Air (ρ), Water Density (ρ_Water) & Friction Velocity (V_f). With our tool, you need to enter the respective value for Density of Air, Water Density & Friction Velocity 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 Stress?

In this formula, Wind Stress uses Density of Air, Water Density & Friction Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Wind Stress = Coefficient of Drag*(Density of Air/Water Density)*Wind Speed^2
Wind Stress = Coefficient of Drag to 10m Reference Level*Wind Speed^2

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