Fetch Length given Scaling Parameter Calculator

✖Wind Speed at Height of 10 m refers to the average speed of the wind measured at a height of 10 meters above ground level.ⓘ Wind Speed at Height of 10 m [V₁₀]			+10% -10%
✖Dimensionless Scaling Parameter is a value used in mathematical or scientific models to scale or normalize variables without units. It is used in the JONSWAP spectrum for fetch-limited seas.ⓘ Dimensionless Scaling Parameter [α]			+10% -10%

✖Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.ⓘ Fetch Length given Scaling Parameter [F_l]

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Fetch Length given Scaling Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g]
F_l = (V₁₀^2*((α/0.076)^-(1/0.22)))/[g]
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Fetch Length - (Measured in Meter) - Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.
Wind Speed at Height of 10 m - (Measured in Meter per Second) - Wind Speed at Height of 10 m refers to the average speed of the wind measured at a height of 10 meters above ground level.
Dimensionless Scaling Parameter - Dimensionless Scaling Parameter is a value used in mathematical or scientific models to scale or normalize variables without units. It is used in the JONSWAP spectrum for fetch-limited seas.

STEP 1: Convert Input(s) to Base Unit

Wind Speed at Height of 10 m: 22 Meter per Second --> 22 Meter per Second No Conversion Required
Dimensionless Scaling Parameter: 0.1538 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_l = (V₁₀^2*((α/0.076)^-(1/0.22)))/[g] --> (22^2*((0.1538/0.076)^-(1/0.22)))/[g]

Evaluating ... ...

F_l = 2.0033958163034

STEP 3: Convert Result to Output's Unit

2.0033958163034 Meter --> No Conversion Required

FINAL ANSWER

2.0033958163034 ≈ 2.003396 Meter <-- Fetch Length

(Calculation completed in 00.020 seconds)

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< Parametric Spectrum Models Calculators

JONSWAP Spectrum for Fetch-limited Seas

LaTeX Go Frequency Energy Spectrum = ((Dimensionless Scaling Parameter*[g]^2)/((2*pi)^4*Wave Frequency^5))*(exp(-1.25*(Wave Frequency/Frequency at Spectral Peak)^-4)*Peak Enhancement Factor)^exp(-((Wave Frequency/Frequency at Spectral Peak)-1)^2/(2*Standard Deviation^2))

Fetch Length given Frequency at Spectral Peak

LaTeX Go Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2

Frequency at Spectral Peak

LaTeX Go Frequency at Spectral Peak = 3.5*(([g]^2*Fetch Length)/Wind Speed at Height of 10 m^3)^-0.33

Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water

LaTeX Go Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5

Fetch Length given Scaling Parameter Formula

LaTeX Go

Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g]
F_l = (V₁₀^2*((α/0.076)^-(1/0.22)))/[g]

What are the Characteristics of Progressive Waves?

A progressive wave is formed due to continuous vibration of the particles of the medium.
The wave travels with a certain velocity.
There is a flow of energy in the direction of the wave.
No particles in the medium are at rest.
The amplitude of all the particles is the same.

How to Calculate Fetch Length given Scaling Parameter?

Fetch Length given Scaling Parameter calculator uses Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g] to calculate the Fetch Length, The Fetch Length given Scaling Parameter formula is defined as the length of water over which a given wind has blown without obstruction, calculated using scaling parameter. Fetch Length is denoted by F_l symbol.

How to calculate Fetch Length given Scaling Parameter using this online calculator? To use this online calculator for Fetch Length given Scaling Parameter, enter Wind Speed at Height of 10 m (V₁₀) & Dimensionless Scaling Parameter (α) and hit the calculate button. Here is how the Fetch Length given Scaling Parameter calculation can be explained with given input values -> 2.003396 = (22^2*((0.1538/0.076)^-(1/0.22)))/[g].

FAQ

What is Fetch Length given Scaling Parameter?

The Fetch Length given Scaling Parameter formula is defined as the length of water over which a given wind has blown without obstruction, calculated using scaling parameter and is represented as F_l = (V₁₀^2*((α/0.076)^-(1/0.22)))/[g] or Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g]. Wind Speed at Height of 10 m refers to the average speed of the wind measured at a height of 10 meters above ground level & Dimensionless Scaling Parameter is a value used in mathematical or scientific models to scale or normalize variables without units. It is used in the JONSWAP spectrum for fetch-limited seas.

How to calculate Fetch Length given Scaling Parameter?

The Fetch Length given Scaling Parameter formula is defined as the length of water over which a given wind has blown without obstruction, calculated using scaling parameter is calculated using Fetch Length = (Wind Speed at Height of 10 m^2*((Dimensionless Scaling Parameter/0.076)^-(1/0.22)))/[g]. To calculate Fetch Length given Scaling Parameter, you need Wind Speed at Height of 10 m (V₁₀) & Dimensionless Scaling Parameter (α). With our tool, you need to enter the respective value for Wind Speed at Height of 10 m & Dimensionless Scaling Parameter 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 Fetch Length?

In this formula, Fetch Length uses Wind Speed at Height of 10 m & Dimensionless Scaling Parameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Fetch Length = ((Wind Speed at Height of 10 m^3)*((Frequency at Spectral Peak/3.5)^-(1/0.33)))/[g]^2

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