Wave Steepness Calculator

✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height [H]			+10% -10%
✖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]

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Formula

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Wave Steepness

Formula

`"ε"_{"s"} = "H"/"λ"`

Example

`"0.11194"="3m"/"26.8m"`

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Wave Steepness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Steepness = Wave Height/Wavelength
ε_s = H/λ
This formula uses 3 Variables

Variables Used

Wave Steepness - Wave Steepness is defined as the ratio of wave height H to the wavelength λ.
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.

STEP 1: Convert Input(s) to Base Unit

Wave Height: 3 Meter --> 3 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_s = H/λ --> 3/26.8

Evaluating ... ...

ε_s = 0.111940298507463

STEP 3: Convert Result to Output's Unit

0.111940298507463 --> No Conversion Required

FINAL ANSWER

0.111940298507463 ≈ 0.11194 <-- Wave Steepness

(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!

< 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

Wave Steepness Formula

Wave Steepness = Wave Height/Wavelength
ε_s = H/λ

What are Water waves ?

Wave, a ridge or swell on the surface of a body of water, normally having a forward motion distinct from the oscillatory motion of the particles that successively compose it.

How to Calculate Wave Steepness?

Wave Steepness calculator uses Wave Steepness = Wave Height/Wavelength to calculate the Wave Steepness, Wave Steepness is defined as the ratio of wave height H to the wavelength λ. The wave properties are made dimensionless using the wavenumber. Wave Steepness is denoted by ε_s symbol.

How to calculate Wave Steepness using this online calculator? To use this online calculator for Wave Steepness, enter Wave Height (H) & Wavelength (λ) and hit the calculate button. Here is how the Wave Steepness calculation can be explained with given input values -> 0.11194 = 3/26.8.

FAQ

What is Wave Steepness?

Wave Steepness is defined as the ratio of wave height H to the wavelength λ. The wave properties are made dimensionless using the wavenumber and is represented as ε_s = H/λ or Wave Steepness = Wave Height/Wavelength. Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough & Wavelength can be defined as the distance between two successive crests or troughs of a wave.

How to calculate Wave Steepness?

Wave Steepness is defined as the ratio of wave height H to the wavelength λ. The wave properties are made dimensionless using the wavenumber is calculated using Wave Steepness = Wave Height/Wavelength. To calculate Wave Steepness, you need Wave Height (H) & Wavelength (λ). With our tool, you need to enter the respective value for Wave Height & Wavelength 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 Wave Steepness?

In this formula, Wave Steepness uses Wave Height & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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