Wind Stress in Parametric Form Calculator

✖The Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.ⓘ Coefficient of Drag [C_D]			+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%
✖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.ⓘ Wind Stress in Parametric Form [τ_o]

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Wind Stress in Parametric Form Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wind Stress = Coefficient of Drag*(Density of Air/Water Density)*Wind Speed^2
τ_o = C_D*(ρ/ρ_Water)*U^2
This formula uses 5 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 - The Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or 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.
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: 0.01 --> 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
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_D*(ρ/ρ_Water)*U^2 --> 0.01*(1.293/1000)*4^2

Evaluating ... ...

τ_o = 0.00020688

STEP 3: Convert Result to Output's Unit

0.00020688 Pascal --> No Conversion Required

FINAL ANSWER

0.00020688 ≈ 0.000207 Pascal <-- Wind Stress

(Calculation completed in 00.004 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 in Parametric Form Formula

LaTeX Go

Wind Stress = Coefficient of Drag*(Density of Air/Water Density)*Wind Speed^2
τ_o = C_D*(ρ/ρ_Water)*U^2

What is 10 m wind?

Surface wind is the wind blowing near the Earth's surface. The wind 10 m 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 in Parametric Form?

Wind Stress in Parametric Form calculator uses Wind Stress = Coefficient of Drag*(Density of Air/Water Density)*Wind Speed^2 to calculate the Wind Stress, The Wind Stress in Parametric Form formula is defined as the 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 in Parametric Form using this online calculator? To use this online calculator for Wind Stress in Parametric Form, enter Coefficient of Drag (C_D), Density of Air (ρ), Water Density (ρ_Water) & Wind Speed (U) and hit the calculate button. Here is how the Wind Stress in Parametric Form calculation can be explained with given input values -> 0.000207 = 0.01*(1.293/1000)*4^2.

FAQ

What is Wind Stress in Parametric Form?

The Wind Stress in Parametric Form formula is defined as the 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 = C_D*(ρ/ρ_Water)*U^2 or Wind Stress = Coefficient of Drag*(Density of Air/Water Density)*Wind Speed^2. The Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or 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 & 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 Wind Stress in Parametric Form?

The Wind Stress in Parametric Form formula is defined as the 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 = Coefficient of Drag*(Density of Air/Water Density)*Wind Speed^2. To calculate Wind Stress in Parametric Form, you need Coefficient of Drag (C_D), Density of Air (ρ), Water Density (ρ_Water) & Wind Speed (U). With our tool, you need to enter the respective value for Coefficient of Drag, Density of Air, Water Density & 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, Density of Air, Water Density & Wind Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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