Wave Height given wave steepness Calculator

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

✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height given wave steepness [H]

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Formula

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Wave Height given wave steepness

Formula

`"H" = "ε"_{"s"}*"λ"`

Example

`"0.804m"="0.03"*"26.8m"`

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Wave Height given wave steepness Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
Wave Steepness - Wave Steepness is defined as the ratio of wave height H to the wavelength λ.
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 Steepness: 0.03 --> No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = ε_s*λ --> 0.03*26.8

Evaluating ... ...

H = 0.804

STEP 3: Convert Result to Output's Unit

0.804 Meter --> No Conversion Required

FINAL ANSWER

0.804 Meter <-- Wave Height

(Calculation completed in 00.004 seconds)

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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

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< 20 Wave Height Calculators

Wave Height for Horizontal Fluid Particle Displacements

Go Wave Height = -Fluid Particle Displacements*(4*pi*Wavelength)*(cosh(2*pi*Water Depth/Wavelength))/([g]*Wave Period^2)*((cosh(2*pi*(Distance above the Bottom)/Wavelength)))*sin(Phase Angle)

Wave Height for Vertical Fluid Particle Displacements

Go Wave Height = Fluid Particle Displacements*(4*pi*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period^2*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))

Wave Height for Vertical Component of Local Fluid Velocity

Go Wave Height = (Vertical Component of Velocity*2*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period*sinh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))

Wave Height for Horizontal Component of Local Fluid Velocity

Go Wave Height = Water Particle Velocity*2*Wavelength*cosh(2*pi*Depth of Water Wave/Wavelength)/([g]*Wave Period*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))

Wave height for local fluid particle acceleration of vertical component

Go Wave Height = -(Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)))

Wave height for local fluid particle acceleration of horizontal component

Go Wave Height = Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))

Wave Height for simplified horizontal fluid particle displacements

Go Wave Height = -Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle)

Wave Height for simplified vertical fluid particle displacements

Go Wave Height = Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)

Wave height for major horizontal semi-axis given wavelength and wave height

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

Wave height for minor vertical semi-axis given wavelength, wave height and water depth

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

Wave Height represented by Rayleigh Distribution

Go Individual Wave Height = (2*Wave Height/Root Mean Square Wave Height^2)*exp(-(Wave Height^2/Root Mean Square Wave Height^2))

Wave Height represented by Rayleigh Distribution under Narrow Band Condition

Go Individual Wave Height = 1-exp(-Wave Height^2/Root Mean Square Wave Height^2)

Mean Wave Period given Maximum Wave Period

Go Mean Wave Period = Maximum Wave Period/Coefficient Eckman

Wave Height given wave steepness

Go Wave Height = Wave Steepness*Wavelength

Wavelength given wave steepness

Go Wavelength = Wave Height/Wave Steepness

Significant Wave Height given Wave Period for North Sea

Go Significant Wave Height = (Wave Period/3.94)^1/0.376

Maximum Wave Height

Go Maximum Wave Height = 1.86*Significant Wave Height

Wave Height given Wave Period for Mediterranean Sea

Go Wave Height = ((Wave Period-4)/2)^(1/0.7)

Wave Height given Wave Amplitude

Go Wave Height = 2*Wave Amplitude

Wave Height given Wave Period for North Atlantic Ocean

Go Wave Height = Wave Period/2.5

Wave Height given wave steepness Formula

Wave Height = Wave Steepness*Wavelength
H = ε_s*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. Water waves are considered oscillatory or nearly oscillatory if the motion described by the water particles is circular orbits that are closed or nearly closed for each wave period.

How to Calculate Wave Height given wave steepness?

Wave Height given wave steepness calculator uses Wave Height = Wave Steepness*Wavelength to calculate the Wave Height, The Wave Height given wave steepness is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Wave Height is denoted by H symbol.

How to calculate Wave Height given wave steepness using this online calculator? To use this online calculator for Wave Height given wave steepness, enter Wave Steepness (ε_s) & Wavelength (λ) and hit the calculate button. Here is how the Wave Height given wave steepness calculation can be explained with given input values -> 0.804 = 0.03*26.8.

FAQ

What is Wave Height given wave steepness?

The Wave Height given wave steepness is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H = ε_s*λ or Wave Height = Wave Steepness*Wavelength. Wave Steepness is defined as the ratio of wave height H to the wavelength λ & Wavelength can be defined as the distance between two successive crests or troughs of a wave.

How to calculate Wave Height given wave steepness?

The Wave Height given wave steepness is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Wave Height = Wave Steepness*Wavelength. To calculate Wave Height given wave steepness, you need Wave Steepness (ε_s) & Wavelength (λ). With our tool, you need to enter the respective value for Wave Steepness & 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 Height?

In this formula, Wave Height uses Wave Steepness & Wavelength. We can use 13 other way(s) to calculate the same, which is/are as follows -

Wave Height = 2*Wave Amplitude
Wave Height = -Fluid Particle Displacements*(4*pi*Wavelength)*(cosh(2*pi*Water Depth/Wavelength))/([g]*Wave Period^2)*((cosh(2*pi*(Distance above the Bottom)/Wavelength)))*sin(Phase Angle)
Wave Height = Fluid Particle Displacements*(4*pi*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period^2*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))
Wave Height = Water Particle Velocity*2*Wavelength*cosh(2*pi*Depth of Water Wave/Wavelength)/([g]*Wave Period*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))
Wave Height = (Vertical Component of Velocity*2*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period*sinh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))
Wave Height = Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))
Wave Height = -(Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)))
Wave Height = Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)
Wave Height = -Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle)
Wave Height = Vertical Semi-Axis*2*sinh(2*pi*Depth of Water Wave/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)
Wave Height = Horizontal Semi-axis of water particle*2*sinh(2*pi*Depth of Water Wave/Wavelength)/cosh(2*pi*(Distance above the Bottom)/Wavelength)
Wave Height = ((Wave Period-4)/2)^(1/0.7)
Wave Height = Wave Period/2.5

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