Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant Calculator

✖Von Kármán Constant is often used in turbulence modeling, for instance in boundary-layer meteorology to calculate fluxes of momentum, heat and moisture from the atmosphere to the land surface.ⓘ Von Kármán Constant [k]			+10% -10%
✖Height z above Surface where the Wind Speed is measured.ⓘ Height z above Surface [Z]			+10% -10%
✖Roughness Height of Surface is the height of the roughness of the surface.ⓘ Roughness Height of Surface [z₀]			+10% -10%
✖Universal Similarity Function characterizing the effects of Thermal Stratification.ⓘ Universal Similarity Function [φ]			+10% -10%
✖Parameter with Dimensions of Length that represent the relative strength of thermal stratification.ⓘ Parameter with Dimensions of Length [L]			+10% -10%

✖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 for Winds Influenced by Stability Effects given Von Karman Constant [C_D]

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Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant

Formula

`"C"_{"D"} = ("k"/(ln("Z"/"z"_{"0"})-"φ"*("Z"/"L")))^2`

Example

`"2.260241"=("0.4"/(ln("8m"/"6.1m")-"0.07"*("8m"/"110")))^2`

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Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
C_D = (k/(ln(Z/z₀)-φ*(Z/L)))^2
This formula uses 1 Functions, 6 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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.
Von Kármán Constant - Von Kármán Constant is often used in turbulence modeling, for instance in boundary-layer meteorology to calculate fluxes of momentum, heat and moisture from the atmosphere to the land surface.
Height z above Surface - (Measured in Meter) - Height z above Surface where the Wind Speed is measured.
Roughness Height of Surface - (Measured in Meter) - Roughness Height of Surface is the height of the roughness of the surface.
Universal Similarity Function - Universal Similarity Function characterizing the effects of Thermal Stratification.
Parameter with Dimensions of Length - Parameter with Dimensions of Length that represent the relative strength of thermal stratification.

STEP 1: Convert Input(s) to Base Unit

Von Kármán Constant: 0.4 --> No Conversion Required
Height z above Surface: 8 Meter --> 8 Meter No Conversion Required
Roughness Height of Surface: 6.1 Meter --> 6.1 Meter No Conversion Required
Universal Similarity Function: 0.07 --> No Conversion Required
Parameter with Dimensions of Length: 110 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_D = (k/(ln(Z/z₀)-φ*(Z/L)))^2 --> (0.4/(ln(8/6.1)-0.07*(8/110)))^2

Evaluating ... ...

C_D = 2.26024091542452

STEP 3: Convert Result to Output's Unit

2.26024091542452 --> No Conversion Required

FINAL ANSWER

2.26024091542452 ≈ 2.260241 <-- Coefficient of Drag

(Calculation completed in 00.004 seconds)

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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

Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant Formula

What is Geostrophic Wind?

The Geostrophic wind is a theoretical wind speed that results from a balance between the Coriolis force and the pressure-gradient force, concepts explored in greater detail in later readings.

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 Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant?

Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant calculator uses 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 to calculate the Coefficient of Drag, The Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant formula is defined as a dimensionless quantity used to quantify an object's drag or resistance in a fluid environment, such as air or water. Coefficient of Drag is denoted by C_D symbol.

How to calculate Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant using this online calculator? To use this online calculator for Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant, enter Von Kármán Constant (k), Height z above Surface (Z), Roughness Height of Surface (z₀), Universal Similarity Function (φ) & Parameter with Dimensions of Length (L) and hit the calculate button. Here is how the Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant calculation can be explained with given input values -> 2.260241 = (0.4/(ln(8/6.1)-0.07*(8/110)))^2.

FAQ

What is Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant?

The Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant formula is defined as a dimensionless quantity used to quantify an object's drag or resistance in a fluid environment, such as air or water and is represented as C_D = (k/(ln(Z/z₀)-φ*(Z/L)))^2 or 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. Von Kármán Constant is often used in turbulence modeling, for instance in boundary-layer meteorology to calculate fluxes of momentum, heat and moisture from the atmosphere to the land surface, Height z above Surface where the Wind Speed is measured, Roughness Height of Surface is the height of the roughness of the surface, Universal Similarity Function characterizing the effects of Thermal Stratification & Parameter with Dimensions of Length that represent the relative strength of thermal stratification.

How to calculate Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant?

The Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant formula is defined as a dimensionless quantity used to quantify an object's drag or resistance in a fluid environment, such as air or water is calculated using 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. To calculate Coefficient of Drag for Winds Influenced by Stability Effects given Von Karman Constant, you need Von Kármán Constant (k), Height z above Surface (Z), Roughness Height of Surface (z₀), Universal Similarity Function (φ) & Parameter with Dimensions of Length (L). With our tool, you need to enter the respective value for Von Kármán Constant, Height z above Surface, Roughness Height of Surface, Universal Similarity Function & Parameter with Dimensions of Length 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 Coefficient of Drag?

In this formula, Coefficient of Drag uses Von Kármán Constant, Height z above Surface, Roughness Height of Surface, Universal Similarity Function & Parameter with Dimensions of Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

Coefficient of Drag = (Friction Velocity/Wind Speed)^2

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