Water Depth for Maximum Wave Steepness of Waves Travelling Calculator

✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Wave Steepness is defined as the ratio of wave height H to the wavelength λ.ⓘ Wave Steepness [ε_s]			+10% -10%

✖Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth for Maximum Wave Steepness of Waves Travelling [d]

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Formula

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Water Depth for Maximum Wave Steepness of Waves Travelling

Formula

`"d" = "λ"*atanh("ε"_{"s"}/0.142)/(2*pi)`

Example

`"0.914909m"="26.8m"*atanh("0.03"/0.142)/(2*pi)`

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Water Depth for Maximum Wave Steepness of Waves Travelling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi)
d = λ*atanh(ε_s/0.142)/(2*pi)
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tanh - The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh)., tanh(Number)
atanh - The inverse hyperbolic tangent function returns the value whose hyperbolic tangent is a number., atanh(Number)

Variables Used

Water Depth - (Measured in Meter) - Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Wave Steepness - Wave Steepness is defined as the ratio of wave height H to the wavelength λ.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Wave Steepness: 0.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = λ*atanh(ε_s/0.142)/(2*pi) --> 26.8*atanh(0.03/0.142)/(2*pi)

Evaluating ... ...

d = 0.914908733851497

STEP 3: Convert Result to Output's Unit

0.914908733851497 Meter --> No Conversion Required

FINAL ANSWER

0.914908733851497 ≈ 0.914909 Meter <-- Water Depth

(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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< 18 Wave Parameters Calculators

Major Horizontal Semi-Axis given wavelength, Wave Height and Water Depth

Go Horizontal Semi-axis of Water Particle = (Wave Height/2)*(cosh(2*pi*(Distance above the Bottom)/Wavelength))/sinh(2*pi*Water Depth/Wavelength)

Minor Vertical Semi-Axis given Wavelength, Wave Height and Water Depth

Go Vertical Semi-Axis = (Wave Height/2)*(sinh(2*pi*(Distance above the Bottom)/Wavelength))/sinh(2*pi*Water Depth/Wavelength)

Eckart's Equation for Wavelength

Go Wavelength = (([g]*Wave Period^2/2*pi)*sqrt(tanh(4*pi^2*Water Depth)/Wave Period^2*[g]))

Water Depth for Maximum Wave Steepness of Waves Travelling

Go Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi)

Wavelength for Maximum Wave Steepness

Go Wavelength = 2*pi*Water Depth/atanh(Wave Steepness/0.142)

Maximum Wave Steepness for Waves Travelling

Go Wave Steepness = 0.142*tanh(2*pi*Water Depth/Wavelength)

Wave Amplitude given Elevation of Water Surface Relative to SWL

Go Wave Amplitude = Elevation of Water Surface/cos(Theta)

Elevation of Water Surface Relative to SWL

Go Elevation of Water Surface = Wave Amplitude*cos(Theta)

Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber

Go Celerity of The Wave = Wave Angular Frequency/Wave Number

Radian Frequency given Wave Celerity

Go Wave Angular Frequency = Celerity of The Wave*Wave Number

Wave Number given Wave Celerity

Go Wave Number = Wave Angular Frequency/Celerity of The Wave

Phase Velocity or Wave Celerity

Go Celerity of The Wave = Wavelength/Wave Period

Angular of Radian Frequency of Wave

Go Wave Angular Frequency = 2*pi/Wave Period

Wave Steepness

Go Wave Steepness = Wave Height/Wavelength

Wave number given wavelength

Go Wave Number = 2*pi/Wavelength

Wave Height given Maximum Wave Steepness Limit by Michell

Go Wave Height = Wavelength*0.142

Wavelength given Maximum Wave Steepness Limit by Michell

Go Wavelength = Wave Height/0.142

Wave Amplitude

Go Wave Amplitude = Wave Height/2

Water Depth for Maximum Wave Steepness of Waves Travelling Formula

Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi)
d = λ*atanh(ε_s/0.142)/(2*pi)

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 Water Depth for Maximum Wave Steepness of Waves Travelling?

Water Depth for Maximum Wave Steepness of Waves Travelling calculator uses Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi) to calculate the Water Depth, The Water Depth for Maximum Wave Steepness of Waves Travelling formula is defined as the depths less than Lo/2 is known measurement is the process of measuring and monitoring the depth of water. It is carried out using a water depth meter, which allows the user to collect large amounts of data with minimal time and effort. Water Depth is denoted by d symbol.

How to calculate Water Depth for Maximum Wave Steepness of Waves Travelling using this online calculator? To use this online calculator for Water Depth for Maximum Wave Steepness of Waves Travelling, enter Wavelength (λ) & Wave Steepness (ε_s) and hit the calculate button. Here is how the Water Depth for Maximum Wave Steepness of Waves Travelling calculation can be explained with given input values -> 0.914909 = 26.8*atanh(0.03/0.142)/(2*pi).

FAQ

What is Water Depth for Maximum Wave Steepness of Waves Travelling?

The Water Depth for Maximum Wave Steepness of Waves Travelling formula is defined as the depths less than Lo/2 is known measurement is the process of measuring and monitoring the depth of water. It is carried out using a water depth meter, which allows the user to collect large amounts of data with minimal time and effort and is represented as d = λ*atanh(ε_s/0.142)/(2*pi) or Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi). Wavelength can be defined as the distance between two successive crests or troughs of a wave & Wave Steepness is defined as the ratio of wave height H to the wavelength λ.

How to calculate Water Depth for Maximum Wave Steepness of Waves Travelling?

The Water Depth for Maximum Wave Steepness of Waves Travelling formula is defined as the depths less than Lo/2 is known measurement is the process of measuring and monitoring the depth of water. It is carried out using a water depth meter, which allows the user to collect large amounts of data with minimal time and effort is calculated using Water Depth = Wavelength*atanh(Wave Steepness/0.142)/(2*pi). To calculate Water Depth for Maximum Wave Steepness of Waves Travelling, you need Wavelength (λ) & Wave Steepness (ε_s). With our tool, you need to enter the respective value for Wavelength & Wave Steepness 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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