Phillip's equilibrium range of spectrum for fully developed sea in deep water Solution

STEP 0: Pre-Calculation Summary
Formula Used
Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5
Eω = b*[g]^2*ω^-5
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Phillip's Equilibrium Range of Spectrum - Phillip's Equilibrium Range of Spectrum for a fully developed sea in Deep water.
Constant B - Constant B is the number that has a fixed value in a given situation or universally or that is characteristic of some substance or instrument.
Wave Angular Frequency - (Measured in Radian per Second) - Wave Angular Frequency angular displacement of the wave per unit time. Its units are therefore degrees (or radians) per second.
STEP 1: Convert Input(s) to Base Unit
Constant B: 0.1 --> No Conversion Required
Wave Angular Frequency: 6.2 Radian per Second --> 6.2 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Eω = b*[g]^2*ω^-5 --> 0.1*[g]^2*6.2^-5
Evaluating ... ...
Eω = 0.00104974279780533
STEP 3: Convert Result to Output's Unit
0.00104974279780533 --> No Conversion Required
FINAL ANSWER
0.00104974279780533 0.00105 <-- Phillip's Equilibrium Range of Spectrum
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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National Institute of Technology (NIT), Warangal
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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)
Wind Speed at Elevation 10m above Sea Surface given Frequency at Spectral Peak
Go Wind Speed at Height of 10 m = ((Fetch Length*[g]^2)/(Frequency at Spectral Peak/3.5)^-(1/0.33))^(1/3)
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)
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 = 1-0.5*(2-Wave Angular Frequency)^2
Weighing Factor for angular frequency lesser than or equal to one
Go Weighing Factor = 0.5*Wave Angular Frequency^2

Phillip's equilibrium range of spectrum for fully developed sea in deep water Formula

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

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 Phillip's equilibrium range of spectrum for fully developed sea in deep water?

Phillip's equilibrium range of spectrum for fully developed sea in deep water calculator uses Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5 to calculate the Phillip's Equilibrium Range of Spectrum, The Phillip's equilibrium range of spectrum for fully developed sea in deep water is defined as the basis of most subsequent developments. Phillip's Equilibrium Range of Spectrum is denoted by Eω symbol.

How to calculate Phillip's equilibrium range of spectrum for fully developed sea in deep water using this online calculator? To use this online calculator for Phillip's equilibrium range of spectrum for fully developed sea in deep water, enter Constant B (b) & Wave Angular Frequency (ω) and hit the calculate button. Here is how the Phillip's equilibrium range of spectrum for fully developed sea in deep water calculation can be explained with given input values -> 0.00105 = 0.1*[g]^2*6.2^-5.

FAQ

What is Phillip's equilibrium range of spectrum for fully developed sea in deep water?
The Phillip's equilibrium range of spectrum for fully developed sea in deep water is defined as the basis of most subsequent developments and is represented as Eω = b*[g]^2*ω^-5 or Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5. Constant B is the number that has a fixed value in a given situation or universally or that is characteristic of some substance or instrument & Wave Angular Frequency angular displacement of the wave per unit time. Its units are therefore degrees (or radians) per second.
How to calculate Phillip's equilibrium range of spectrum for fully developed sea in deep water?
The Phillip's equilibrium range of spectrum for fully developed sea in deep water is defined as the basis of most subsequent developments is calculated using Phillip's Equilibrium Range of Spectrum = Constant B*[g]^2*Wave Angular Frequency^-5. To calculate Phillip's equilibrium range of spectrum for fully developed sea in deep water, you need Constant B (b) & Wave Angular Frequency (ω). With our tool, you need to enter the respective value for Constant B & Wave Angular Frequency 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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