Maximum Wave Period Calculator

✖Coefficient Eckman represents the change of ebb tidal energy flux across the ocean bar between natural and channel conditions.ⓘ Coefficient Eckman [Δ]			+10% -10%
✖Mean Wave Period is the mean of all wave periods in a time-series representing a certain sea state.ⓘ Mean Wave Period [T']			+10% -10%

✖Maximum Wave Period is defined as the wave period associated with the most energetic waves in the total wave spectrum at a specific point.ⓘ Maximum Wave Period [T_max]

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Formula

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Maximum Wave Period

Formula

`"T"_{"max"} = "Δ"*"T'"`

Example

`"85.8s"="33"*"2.6s"`

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Maximum Wave Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Wave Period = Coefficient Eckman*Mean Wave Period
T_max = Δ*T'
This formula uses 3 Variables

Variables Used

Maximum Wave Period - (Measured in Second) - Maximum Wave Period is defined as the wave period associated with the most energetic waves in the total wave spectrum at a specific point.
Coefficient Eckman - Coefficient Eckman represents the change of ebb tidal energy flux across the ocean bar between natural and channel conditions.
Mean Wave Period - (Measured in Second) - Mean Wave Period is the mean of all wave periods in a time-series representing a certain sea state.

STEP 1: Convert Input(s) to Base Unit

Coefficient Eckman: 33 --> No Conversion Required
Mean Wave Period: 2.6 Second --> 2.6 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_max = Δ*T' --> 33*2.6

Evaluating ... ...

T_max = 85.8

STEP 3: Convert Result to Output's Unit

85.8 Second --> No Conversion Required

FINAL ANSWER

85.8 Second <-- Maximum Wave Period

(Calculation completed in 00.004 seconds)

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Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 12 Wave Period Distribution and Wave Spectrum Calculators

Equilibrium Form of PM Spectrum for Fully-Developed Seas

Go Frequency Energy Spectrum = ((0.0081*[g]^2)/((2*pi)^4*Wave Frequency^5))*exp(-0.24*((2*pi*Wind Speed*Wave Frequency)/[g])^-4)

Most Probable Maximum Wave Period

Go Maximum Wave Period = 2*sqrt(1+Spectral Width^2)/1+sqrt(1+(16*Spectral Width^2/pi*Wave Height^2))

Probability Density of Wave Period

Go Probability = 2.7*(Wave Period^3/Mean Wave Period)*exp(-0.675*(Wave Period/Mean Wave Period)^4)

Wave Component Amplitude

Go Wave Amplitude = sqrt(0.5*sqrt(Coefficient of Wave Component Amplitude^2+Coefficient of Wave Component Amplitude bn^2))

Spectral Bandwidth

Go Spectral Width = sqrt(1-(Moment of Wave Spectrum 2^2/(Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 4)))

Spectral Width

Go Spectral Width = sqrt((Zero-th Moment of Wave Spectrum*Moment of Wave Spectrum 2/Moment of Wave Spectrum 1^2)-1)

Mean Zero-upcrossing Period

Go Mean Zero-upcrossing Period = 2*pi*sqrt(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 2)

Relative Phase given coefficients

Go Relative Phase = atanh(Coefficient of Wave Component Amplitude bn/Coefficient of Wave Component Amplitude)

Mean Crest Period

Go Wave Crest Period = 2*pi*(Moment of Wave Spectrum 2/Moment of Wave Spectrum 4)

Mean Wave Period

Go Wave Period = 2*pi*(Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1)

Normal Distribution with Wave Period

Go Wave Period = Zero-th Moment of Wave Spectrum/Moment of Wave Spectrum 1

Maximum Wave Period

Go Maximum Wave Period = Coefficient Eckman*Mean Wave Period

Maximum Wave Period Formula

Maximum Wave Period = Coefficient Eckman*Mean Wave Period
T_max = Δ*T'

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.

What is the definition of wave spectrum?

Wave Spectrum is a concept used to describe the distribution of energy among waves of different period. Wave speed increases with wave length, so distant storms may be detected by the increase of energy in long period waves.

How to Calculate Maximum Wave Period?

Maximum Wave Period calculator uses Maximum Wave Period = Coefficient Eckman*Mean Wave Period to calculate the Maximum Wave Period, Maximum Wave Period is defined as the wave period associated with the most energetic waves in the total wave spectrum at a specific point. Wave regimes that are dominated by wind waves tend to have smaller peak wave periods, and regimes that are dominated by swell tend to have larger peak wave periods. Maximum Wave Period is denoted by T_max symbol.

How to calculate Maximum Wave Period using this online calculator? To use this online calculator for Maximum Wave Period, enter Coefficient Eckman (Δ) & Mean Wave Period (T') and hit the calculate button. Here is how the Maximum Wave Period calculation can be explained with given input values -> 85.8 = 33*2.6.

FAQ

What is Maximum Wave Period?

Maximum Wave Period is defined as the wave period associated with the most energetic waves in the total wave spectrum at a specific point. Wave regimes that are dominated by wind waves tend to have smaller peak wave periods, and regimes that are dominated by swell tend to have larger peak wave periods and is represented as T_max = Δ*T' or Maximum Wave Period = Coefficient Eckman*Mean Wave Period. Coefficient Eckman represents the change of ebb tidal energy flux across the ocean bar between natural and channel conditions & Mean Wave Period is the mean of all wave periods in a time-series representing a certain sea state.

How to calculate Maximum Wave Period?

Maximum Wave Period is defined as the wave period associated with the most energetic waves in the total wave spectrum at a specific point. Wave regimes that are dominated by wind waves tend to have smaller peak wave periods, and regimes that are dominated by swell tend to have larger peak wave periods is calculated using Maximum Wave Period = Coefficient Eckman*Mean Wave Period. To calculate Maximum Wave Period, you need Coefficient Eckman (Δ) & Mean Wave Period (T'). With our tool, you need to enter the respective value for Coefficient Eckman & Mean Wave Period 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 Maximum Wave Period?

In this formula, Maximum Wave Period uses Coefficient Eckman & Mean Wave Period. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Wave Period = 2*sqrt(1+Spectral Width^2)/1+sqrt(1+(16*Spectral Width^2/pi*Wave Height^2))

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