Shape Factor for Higher Frequency Component Calculator

✖Shape Factor for Higher Frequency Component is the component of six parameter wave spectrum developed by Ochi and Hubble (1976).ⓘ Shape Factor for Higher Frequency Component [λ₂]

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Shape Factor for Higher Frequency Component

Formula

`"λ"_{"2"} = 1.82*exp(-0.027*"H"_{"s"})`

Example

`"0.314691"=1.82*exp(-0.027*"65m")`

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Shape Factor for Higher Frequency Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shape Factor for Higher Frequency Component = 1.82*exp(-0.027*Significant Wave Height)
λ₂ = 1.82*exp(-0.027*H_s)
This formula uses 1 Functions, 2 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Shape Factor for Higher Frequency Component - Shape Factor for Higher Frequency Component is the component of six parameter wave spectrum developed by Ochi and Hubble (1976).
Significant Wave Height - (Measured in Meter) - Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.

STEP 1: Convert Input(s) to Base Unit

Significant Wave Height: 65 Meter --> 65 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ₂ = 1.82*exp(-0.027*H_s) --> 1.82*exp(-0.027*65)

Evaluating ... ...

λ₂ = 0.314691180970924

STEP 3: Convert Result to Output's Unit

0.314691180970924 --> No Conversion Required

FINAL ANSWER

0.314691180970924 ≈ 0.314691 <-- Shape Factor for Higher Frequency Component

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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< 19 Parametric Spectrum Models Calculators

JONSWAP Spectrum for Fetch-limited Seas

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))

Frequency of Spectral Peak

Go Frequency at Spectral Peak = ([g]*18.8*(([g]*Fetch Length)/Wind Speed at Height of 10 m^2)^-0.33)/(2*pi*Wind Speed at Height of 10 m)

Frequency of Spectral Peak Given Wind Speed

Go Frequency at Spectral Peak = ([g]*(Controlling Parameter for the Angular Distribution/11.5)^(-1/2.5))/(2*pi*Wind Speed at Height of 10 m)

Wind Speed given Maximum Controlling Parameter for Angular Distribution

Go Wind Speed at Height of 10 m = [g]*(Controlling Parameter for the Angular Distribution/11.5)^(-1/2.5)/(2*pi*Frequency at Spectral Peak)

Maximum Controlling Parameter for Angular Distribution

Go Controlling Parameter for the Angular Distribution = 11.5*((2*pi*Frequency at Spectral Peak*Wind Speed at Height of 10 m)/[g])^-2.5

Wind Speed at Elevation 10m above Sea Surface given Scaling Parameter

Go Wind Speed at Height of 10 m = ((Fetch Length*[g])/(Dimensionless Scaling Parameter/0.076)^(-1/0.22))^0.5

Fetch Length given Scaling Parameter

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

Scaling Parameter

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

Dimensionless Time

Go Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity

Significant Wave Height given Significant Wave Height of Lower and Higher frequency Components

Go Significant Wave Height = sqrt(Significant Wave Height 1^2+Significant Wave Height 2^2)

Significant Wave Height of Higher Frequency Component

Go Significant Wave Height 2 = sqrt(Significant Wave Height^2-Significant Wave Height 1^2)

Significant Wave Height of Lower Frequency Component

Go Significant Wave Height 1 = sqrt(Significant Wave Height^2-Significant Wave Height 2^2)

Fetch Length given Frequency at Spectral Peak

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

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

Shape Factor for Higher Frequency Component

Go Shape Factor for Higher Frequency Component = 1.82*exp(-0.027*Significant Wave Height)

Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak

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

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

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

Weighing Factor for Angular Frequency greater than One

Go Weighing Factor for Angular Frequency = 1-0.5*(2-Coast Wave Angular Frequency)^2

Weighing Factor for Angular Frequency Lesser than or Equal to One

Go Weighing Factor = 0.5*Wave Angular Frequency^2

Shape Factor for Higher Frequency Component Formula

Shape Factor for Higher Frequency Component = 1.82*exp(-0.027*Significant Wave Height)
λ₂ = 1.82*exp(-0.027*H_s)

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 Shape Factor for Higher Frequency Component?

Shape Factor for Higher Frequency Component calculator uses Shape Factor for Higher Frequency Component = 1.82*exp(-0.027*Significant Wave Height) to calculate the Shape Factor for Higher Frequency Component, The Shape Factor for Higher Frequency Component is defined as the value that is affected by an object's shape but is independent of its dimensions. Shape Factor for Higher Frequency Component is denoted by λ₂ symbol.

How to calculate Shape Factor for Higher Frequency Component using this online calculator? To use this online calculator for Shape Factor for Higher Frequency Component, enter Significant Wave Height (H_s) and hit the calculate button. Here is how the Shape Factor for Higher Frequency Component calculation can be explained with given input values -> 0.314691 = 1.82*exp(-0.027*65).

FAQ

What is Shape Factor for Higher Frequency Component?

The Shape Factor for Higher Frequency Component is defined as the value that is affected by an object's shape but is independent of its dimensions and is represented as λ₂ = 1.82*exp(-0.027*H_s) or Shape Factor for Higher Frequency Component = 1.82*exp(-0.027*Significant Wave Height). Significant Wave Height is defined traditionally as the mean wave height of the highest third of the waves.

How to calculate Shape Factor for Higher Frequency Component?

The Shape Factor for Higher Frequency Component is defined as the value that is affected by an object's shape but is independent of its dimensions is calculated using Shape Factor for Higher Frequency Component = 1.82*exp(-0.027*Significant Wave Height). To calculate Shape Factor for Higher Frequency Component, you need Significant Wave Height (H_s). With our tool, you need to enter the respective value for Significant Wave Height 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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