Rate of Momentum Transfer at Standard Reference Height for Winds Calculator

✖Coefficient of Drag to 10m Reference Level is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.ⓘ Coefficient of Drag to 10m Reference Level [C_DZ]			+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 [U]			+10% -10%

✖Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water.ⓘ Rate of Momentum Transfer at Standard Reference Height for Winds [τ_o]

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Formula

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Rate of Momentum Transfer at Standard Reference Height for Winds

Formula

τ o = C DZ \cdot U^{2}

Example

1.5 Pa = 0.09375 \cdot {4 m/s}^{2}

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Rate of Momentum Transfer at Standard Reference Height for Winds Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wind Stress = Coefficient of Drag to 10m Reference Level*Wind Speed^2
τ_o = C_DZ*U^2
This formula uses 3 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.
Coefficient of Drag to 10m Reference Level - Coefficient of Drag to 10m Reference Level is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Drag to 10m Reference Level: 0.09375 --> No Conversion Required
Wind Speed: 4 Meter per Second --> 4 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_o = C_DZ*U^2 --> 0.09375*4^2

Evaluating ... ...

τ_o = 1.5

STEP 3: Convert Result to Output's Unit

1.5 Pascal --> No Conversion Required

FINAL ANSWER

1.5 Pascal <-- Wind Stress

(Calculation completed in 00.020 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

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

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 Formula

Wind Stress = Coefficient of Drag to 10m Reference Level*Wind Speed^2
τ_o = C_DZ*U^2

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 Rate of Momentum Transfer at Standard Reference Height for Winds?

Rate of Momentum Transfer at Standard Reference Height for Winds calculator uses Wind Stress = Coefficient of Drag to 10m Reference Level*Wind Speed^2 to calculate the Wind Stress, The Rate of Momentum Transfer at Standard Reference Height for Winds formula is defined as at International Standard Reference Height 10-m above surface and thus, height above surface z notation is dropped from wind speed but assigned to Coefficient of drag. Wind Stress is denoted by τ_o symbol.

How to calculate Rate of Momentum Transfer at Standard Reference Height for Winds using this online calculator? To use this online calculator for Rate of Momentum Transfer at Standard Reference Height for Winds, enter Coefficient of Drag to 10m Reference Level (C_DZ) & Wind Speed (U) and hit the calculate button. Here is how the Rate of Momentum Transfer at Standard Reference Height for Winds calculation can be explained with given input values -> 1.5 = 0.09375*4^2.

FAQ

What is Rate of Momentum Transfer at Standard Reference Height for Winds?

The Rate of Momentum Transfer at Standard Reference Height for Winds formula is defined as at International Standard Reference Height 10-m above surface and thus, height above surface z notation is dropped from wind speed but assigned to Coefficient of drag and is represented as τ_o = C_DZ*U^2 or Wind Stress = Coefficient of Drag to 10m Reference Level*Wind Speed^2. Coefficient of Drag to 10m Reference Level is used to quantify the drag or resistance of an object in a fluid environment, such as air or water & Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.

How to calculate Rate of Momentum Transfer at Standard Reference Height for Winds?

The Rate of Momentum Transfer at Standard Reference Height for Winds formula is defined as at International Standard Reference Height 10-m above surface and thus, height above surface z notation is dropped from wind speed but assigned to Coefficient of drag is calculated using Wind Stress = Coefficient of Drag to 10m Reference Level*Wind Speed^2. To calculate Rate of Momentum Transfer at Standard Reference Height for Winds, you need Coefficient of Drag to 10m Reference Level (C_DZ) & Wind Speed (U). With our tool, you need to enter the respective value for Coefficient of Drag to 10m Reference Level & Wind Speed 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 Coefficient of Drag to 10m Reference Level & Wind Speed. 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 = (Density of Air/Water Density)*Friction Velocity^2

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