Straight-Line Distance over which Wind Blows Calculator

✖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 Duration is how long the wind blows.ⓘ Wind Duration [t]			+10% -10%

✖Straight Line Distance over which Wind Blows is defined as total stretch of wind motion in a straight line influencing other parameters of the wave.ⓘ Straight-Line Distance over which Wind Blows [X]

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Formula

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Straight-Line Distance over which Wind Blows

Formula

`"X" = ("V"_{"f"}^2/"[g]")*5.23*10^-3*("[g]"*"t"/"V"_{"f"})^(3/2)`

Example

`"14.99991m"=(("6m/s")^2/"[g]")*5.23*10^-3*("[g]"*"51.9s"/"6m/s")^(3/2)`

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Download Estimating Marine and Coastal Winds Formulas PDF

Straight-Line Distance over which Wind Blows Solution

STEP 0: Pre-Calculation Summary

Formula Used

Straight Line Distance over which Wind Blows = (Friction Velocity^2/[g])*5.23*10^-3*([g]*Wind Duration/Friction Velocity)^(3/2)
X = (V_f^2/[g])*5.23*10^-3*([g]*t/V_f)^(3/2)
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Straight Line Distance over which Wind Blows - (Measured in Meter) - Straight Line Distance over which Wind Blows is defined as total stretch of wind motion in a straight line influencing other parameters of the wave.
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.
Wind Duration - (Measured in Second) - Wind Duration is how long the wind blows.

STEP 1: Convert Input(s) to Base Unit

Friction Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required
Wind Duration: 51.9 Second --> 51.9 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X = (V_f^2/[g])*5.23*10^-3*([g]*t/V_f)^(3/2) --> (6^2/[g])*5.23*10^-3*([g]*51.9/6)^(3/2)

Evaluating ... ...

X = 14.9999112205739

STEP 3: Convert Result to Output's Unit

14.9999112205739 Meter --> No Conversion Required

FINAL ANSWER

14.9999112205739 ≈ 14.99991 Meter <-- Straight Line Distance over which Wind Blows

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Estimating Marine and Coastal Winds » Wave Hindcasting and Forecasting » Straight-Line Distance over which Wind Blows

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology Karnataka (NITK), Surathkal

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< 9 Wave Hindcasting and Forecasting Calculators

Spectral Energy Density or Classical Moskowitz Spectrum

Go Spectral Energy Density = ((Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4)*exp(0.74*(Coriolis Frequency/Limiting Frequency)^-4)

Straight-Line Distance over which Wind Blows

Go Straight Line Distance over which Wind Blows = (Friction Velocity^2/[g])*5.23*10^-3*([g]*Wind Duration/Friction Velocity)^(3/2)

Wind Speed given Time required for Waves crossing Fetch under Wind Velocity

Go Wind Speed = ((77.23*Straight Line Distance over which Wind Blows^0.67)/(Time required for Waves crossing Fetch*[g]^0.33))^(1/0.34)

Straight-Line Distance given Time required for Waves Crossing Fetch under Wind Velocity

Go Straight Line Distance over which Wind Blows = ((Time required for Waves crossing Fetch*Wind Speed^0.34*[g]^0.33)/77.23)^(1/0.67)

Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited

Go Time required for Waves crossing Fetch = 77.23*(Straight Line Distance over which Wind Blows^0.67/(Wind Speed^0.34*[g]^0.33))

Spectral Energy Density

Go Spectral Energy Density = (Dimensionless Constant*([g]^2)*(Coriolis Frequency^-5))/(2*pi)^4

Water Depth for given Limiting Wave Period

Go Water Depth from Bed = [g]*(Limiting Wave Period/9.78)^(1/0.5)

Limiting Wave Period

Go Limiting Wave Period = 9.78*((Water Depth from Bed/[g])^0.5)

Drag Coefficient for Wind Speed at 10m Elevation

Go Drag Coefficient = 0.001*(1.1+(0.035*Wind Speed at Height of 10 m))

Straight-Line Distance over which Wind Blows Formula

Straight Line Distance over which Wind Blows = (Friction Velocity^2/[g])*5.23*10^-3*([g]*Wind Duration/Friction Velocity)^(3/2)
X = (V_f^2/[g])*5.23*10^-3*([g]*t/V_f)^(3/2)

What is Fetch Length?

In Oceanography wind fetch, also known as fetch length or simply fetch, is the length of water over which a given wind has blown without obstruction. Fetch, area of ocean or lake surface over which the wind blows in an essentially constant direction, thus generating waves. The term also is used as a synonym for fetch length, which is the horizontal distance over which wave-generating winds blow.

How to Calculate Straight-Line Distance over which Wind Blows?

Straight-Line Distance over which Wind Blows calculator uses Straight Line Distance over which Wind Blows = (Friction Velocity^2/[g])*5.23*10^-3*([g]*Wind Duration/Friction Velocity)^(3/2) to calculate the Straight Line Distance over which Wind Blows, The Straight-Line Distance over which Wind Blows formula is defined as from the equation of Wave Growth and Wind Duration is defined as the total stretch in a straight line for the waves to become fetch limited. Straight Line Distance over which Wind Blows is denoted by X symbol.

How to calculate Straight-Line Distance over which Wind Blows using this online calculator? To use this online calculator for Straight-Line Distance over which Wind Blows, enter Friction Velocity (V_f) & Wind Duration (t) and hit the calculate button. Here is how the Straight-Line Distance over which Wind Blows calculation can be explained with given input values -> 14.99991 = (6^2/[g])*5.23*10^-3*([g]*51.9/6)^(3/2).

FAQ

What is Straight-Line Distance over which Wind Blows?

The Straight-Line Distance over which Wind Blows formula is defined as from the equation of Wave Growth and Wind Duration is defined as the total stretch in a straight line for the waves to become fetch limited and is represented as X = (V_f^2/[g])*5.23*10^-3*([g]*t/V_f)^(3/2) or Straight Line Distance over which Wind Blows = (Friction Velocity^2/[g])*5.23*10^-3*([g]*Wind Duration/Friction Velocity)^(3/2). Friction velocity, also called Shear velocity, is a form by which a shear stress may be re-written in units of velocity & Wind Duration is how long the wind blows.

How to calculate Straight-Line Distance over which Wind Blows?

The Straight-Line Distance over which Wind Blows formula is defined as from the equation of Wave Growth and Wind Duration is defined as the total stretch in a straight line for the waves to become fetch limited is calculated using Straight Line Distance over which Wind Blows = (Friction Velocity^2/[g])*5.23*10^-3*([g]*Wind Duration/Friction Velocity)^(3/2). To calculate Straight-Line Distance over which Wind Blows, you need Friction Velocity (V_f) & Wind Duration (t). With our tool, you need to enter the respective value for Friction Velocity & Wind Duration 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 Straight Line Distance over which Wind Blows?

In this formula, Straight Line Distance over which Wind Blows uses Friction Velocity & Wind Duration. We can use 1 other way(s) to calculate the same, which is/are as follows -

Straight Line Distance over which Wind Blows = ((Time required for Waves crossing Fetch*Wind Speed^0.34*[g]^0.33)/77.23)^(1/0.67)

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