Wave Height at Breaking Point given Breaking Wave Calculator

✖Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.ⓘ Deep-Water Wavelength [λ_o]			+10% -10%
✖Beach Slope refers to the incline or gradient of the shoreline, determining the rate at which the beach elevation changes horizontally with distance from the water.ⓘ Beach Slope [β]			+10% -10%
✖Breaking Wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.ⓘ Breaking Wave [ξ]			+10% -10%

✖The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.ⓘ Wave Height at Breaking Point given Breaking Wave [H_w]

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Wave Height at Breaking Point given Breaking Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2
H_w = (λ_o*β^2)/ξ^2
This formula uses 4 Variables

Variables Used

Wave Height for Surface Gravity Waves - (Measured in Meter) - The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.
Beach Slope - (Measured in Radian) - Beach Slope refers to the incline or gradient of the shoreline, determining the rate at which the beach elevation changes horizontally with distance from the water.
Breaking Wave - Breaking Wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.

STEP 1: Convert Input(s) to Base Unit

Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required
Beach Slope: 0.15 Radian --> 0.15 Radian No Conversion Required
Breaking Wave: 0.229 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_w = (λ_o*β^2)/ξ^2 --> (7*0.15^2)/0.229^2

Evaluating ... ...

H_w = 3.00337522167769

STEP 3: Convert Result to Output's Unit

3.00337522167769 Meter --> No Conversion Required

FINAL ANSWER

3.00337522167769 ≈ 3.003375 Meter <-- Wave Height for Surface Gravity Waves

(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 M Naveen

National Institute of Technology (NIT), Warangal

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< Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient

LaTeX Go Shoaling Coefficient = (tanh(Wave Number for Water Wave*Coastal Mean Depth)*(1+(2*Wave Number for Water Wave*Coastal Mean Depth/sinh(2*Wave Number for Water Wave*Coastal Mean Depth))))^-0.5

Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient

LaTeX Go Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)

Refraction Coefficient

LaTeX Go Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays)

Distance between Two Rays at General Point

LaTeX Go Distance Between Two Rays = Distance Between Two Rays at Deepwater/Refraction Coefficient^2

Wave Height at Breaking Point given Breaking Wave Formula

LaTeX Go

Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2
H_w = (λ_o*β^2)/ξ^2

What is Breaking Wave?

In fluid dynamics, a breaking wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur that causes large amounts of wave energy to be transformed into turbulent kinetic energy.

How to Calculate Wave Height at Breaking Point given Breaking Wave?

Wave Height at Breaking Point given Breaking Wave calculator uses Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2 to calculate the Wave Height for Surface Gravity Waves, The Wave Height at Breaking Point given Breaking Wave formula is defined as the difference between crest elevations and neighboring troughs. Wave height is a term used by mariners and in coastal, ocean and naval engineering. Wave Height for Surface Gravity Waves is denoted by H_w symbol.

How to calculate Wave Height at Breaking Point given Breaking Wave using this online calculator? To use this online calculator for Wave Height at Breaking Point given Breaking Wave, enter Deep-Water Wavelength (λ_o), Beach Slope (β) & Breaking Wave (ξ) and hit the calculate button. Here is how the Wave Height at Breaking Point given Breaking Wave calculation can be explained with given input values -> 3.9375 = (7*0.15^2)/0.229^2.

FAQ

What is Wave Height at Breaking Point given Breaking Wave?

The Wave Height at Breaking Point given Breaking Wave formula is defined as the difference between crest elevations and neighboring troughs. Wave height is a term used by mariners and in coastal, ocean and naval engineering and is represented as H_w = (λ_o*β^2)/ξ^2 or Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2. Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave, Beach Slope refers to the incline or gradient of the shoreline, determining the rate at which the beach elevation changes horizontally with distance from the water & Breaking Wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.

How to calculate Wave Height at Breaking Point given Breaking Wave?

The Wave Height at Breaking Point given Breaking Wave formula is defined as the difference between crest elevations and neighboring troughs. Wave height is a term used by mariners and in coastal, ocean and naval engineering is calculated using Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2. To calculate Wave Height at Breaking Point given Breaking Wave, you need Deep-Water Wavelength (λ_o), Beach Slope (β) & Breaking Wave (ξ). With our tool, you need to enter the respective value for Deep-Water Wavelength, Beach Slope & Breaking Wave 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 for Surface Gravity Waves?

In this formula, Wave Height for Surface Gravity Waves uses Deep-Water Wavelength, Beach Slope & Breaking Wave. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient

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