Wind Stress given Friction Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wind Stress = (Density of Air/Water Density)*Friction Velocity^2
τo = (ρ/ρWater)*Vf^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
τo = (ρ/ρWater)*Vf^2 --> (1.293/1000)*6^2
Evaluating ... ...
τo = 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 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg
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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

Wind Stress given Friction Velocity Formula

Wind Stress = (Density of Air/Water Density)*Friction Velocity^2
τo = (ρ/ρWater)*Vf^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 τo 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 Water) & Friction Velocity (Vf) 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 τo = (ρ/ρWater)*Vf^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 Water) & Friction Velocity (Vf). 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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