Wave Height given Wave Steepness Calculator

✖Wave Steepness is the ratio of wave height to wavelength in a wave train. It is a fundamental parameter used to understand and mitigate risks associated with waves in marine environments.ⓘ Wave Steepness [ε_s]			+10% -10%
✖Wavelength is the horizontal distance between successive crests (or troughs) of a wave. It provides crucial information about the size and shape of waves propagating in water bodies.ⓘ Wavelength [λ]			+10% -10%

✖Wave Height is the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. The average height of the highest third of the waves in a given wave dataset.ⓘ Wave Height given Wave Steepness [H]

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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 is the vertical distance between the trough (lowest point) and the crest (highest point) of a wave. The average height of the highest third of the waves in a given wave dataset.
Wave Steepness - Wave Steepness is the ratio of wave height to wavelength in a wave train. It is a fundamental parameter used to understand and mitigate risks associated with waves in marine environments.
Wavelength - (Measured in Meter) - Wavelength is the horizontal distance between successive crests (or troughs) of a wave. It provides crucial information about the size and shape of waves propagating in water bodies.

STEP 1: Convert Input(s) to Base Unit

Wave Steepness: 0.12 --> 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 --> 0.12*26.8

Evaluating ... ...

H = 3.216

STEP 3: Convert Result to Output's Unit

3.216 Meter --> No Conversion Required

FINAL ANSWER

3.216 Meter <-- Wave Height

(Calculation completed in 00.007 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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< Wave Height Calculators

Wave Height for Horizontal Fluid Particle Displacement

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

Wave Height for Vertical Fluid Particle Displacement

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

Wave Height given Wave Steepness

LaTeX Go Wave Height = Wave Steepness*Wavelength

Wave Height given Wave Amplitude

LaTeX Go Wave Height = 2*Wave Amplitude

Wave Height given Wave Steepness Formula

LaTeX Go

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 formula is defined as 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 = 0.12*26.8.

FAQ

What is Wave Height given Wave Steepness?

The Wave Height given Wave Steepness formula is defined as 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 the ratio of wave height to wavelength in a wave train. It is a fundamental parameter used to understand and mitigate risks associated with waves in marine environments & Wavelength is the horizontal distance between successive crests (or troughs) of a wave. It provides crucial information about the size and shape of waves propagating in water bodies.

How to calculate Wave Height given Wave Steepness?

The Wave Height given Wave Steepness formula is defined as 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 3 other way(s) to calculate the same, which is/are as follows -

Wave Height = 2*Wave Amplitude
Wave Height = Fluid Particle Displacement*(4*pi*Wavelength)*(cosh(2*pi*Water Depth/Wavelength))/([g]*Wave Period for Horizontal Fluid Particle^2)*((cosh(2*pi*(Distance above Bottom)/Wavelength)))*sin(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 Bottom)/Wavelength)*cos(Phase Angle))

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