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

STEP 0: Pre-Calculation Summary
Formula Used
Time required for Waves crossing Fetch = 77.23*(Straight Line Distance over which Wind Blows^0.67/(Wind Speed^0.34*[g]^0.33))
tx,u = 77.23*(X^0.67/(U^0.34*[g]^0.33))
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Time required for Waves crossing Fetch - (Measured in Second) - Time required for Waves crossing Fetch under Wind Velocity to become Fetch Limited.
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.
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
Straight Line Distance over which Wind Blows: 15 Meter --> 15 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
tx,u = 77.23*(X^0.67/(U^0.34*[g]^0.33)) --> 77.23*(15^0.67/(4^0.34*[g]^0.33))
Evaluating ... ...
tx,u = 139.272367550324
STEP 3: Convert Result to Output's Unit
139.272367550324 Second --> No Conversion Required
FINAL ANSWER
139.272367550324 139.2724 Second <-- Time required for Waves crossing Fetch
(Calculation completed in 00.020 seconds)

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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))

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

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

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

Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited calculator uses Time required for Waves crossing Fetch = 77.23*(Straight Line Distance over which Wind Blows^0.67/(Wind Speed^0.34*[g]^0.33)) to calculate the Time required for Waves crossing Fetch, The Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited formula is defined as the overall time necessary for waves to become fetch limited. Time required for Waves crossing Fetch is denoted by tx,u symbol.

How to calculate Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited using this online calculator? To use this online calculator for Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited, enter Straight Line Distance over which Wind Blows (X) & Wind Speed (U) and hit the calculate button. Here is how the Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited calculation can be explained with given input values -> 139.2724 = 77.23*(15^0.67/(4^0.34*[g]^0.33)).

FAQ

What is Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited?
The Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited formula is defined as the overall time necessary for waves to become fetch limited and is represented as tx,u = 77.23*(X^0.67/(U^0.34*[g]^0.33)) or Time required for Waves crossing Fetch = 77.23*(Straight Line Distance over which Wind Blows^0.67/(Wind Speed^0.34*[g]^0.33)). 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 & 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 Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited?
The Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited formula is defined as the overall time necessary for waves to become fetch limited is calculated using Time required for Waves crossing Fetch = 77.23*(Straight Line Distance over which Wind Blows^0.67/(Wind Speed^0.34*[g]^0.33)). To calculate Time required for Waves Crossing Fetch under Wind Velocity to become Fetch Limited, you need Straight Line Distance over which Wind Blows (X) & Wind Speed (U). With our tool, you need to enter the respective value for Straight Line Distance over which Wind Blows & Wind Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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