Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory Calculator

✖Equivalent Unrefracted Deepwater Wave Height (EDWH) is a parameter used particularly in wave behaviour and breakwater design, defined in relation to the Breaker Height Index from Linear Wave Theory.ⓘ Equivalent Unrefracted Deepwater Wave Height [H'_o]			+10% -10%
✖Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.ⓘ Deep-Water Wavelength [λ_o]			+10% -10%

✖Breaker Height Index is the ratio of wave height and still water depth at the shore face location where waves start breaking.ⓘ Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory [Ω_b]

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Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory Solution

STEP 0: Pre-Calculation Summary

Formula Used

Breaker Height Index = 0.56*(Equivalent Unrefracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5)
Ω_b = 0.56*(H'_o/λ_o)^(-1/5)
This formula uses 3 Variables

Variables Used

Breaker Height Index - Breaker Height Index is the ratio of wave height and still water depth at the shore face location where waves start breaking.
Equivalent Unrefracted Deepwater Wave Height - (Measured in Meter) - Equivalent Unrefracted Deepwater Wave Height (EDWH) is a parameter used particularly in wave behaviour and breakwater design, defined in relation to the Breaker Height Index from Linear Wave Theory.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.

STEP 1: Convert Input(s) to Base Unit

Equivalent Unrefracted Deepwater Wave Height: 0.00364 Meter --> 0.00364 Meter No Conversion Required
Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ω_b = 0.56*(H'_o/λ_o)^(-1/5) --> 0.56*(0.00364/7)^(-1/5)

Evaluating ... ...

Ω_b = 2.54089874237172

STEP 3: Convert Result to Output's Unit

2.54089874237172 --> No Conversion Required

FINAL ANSWER

2.54089874237172 ≈ 2.540899 <-- Breaker Height Index

(Calculation completed in 00.020 seconds)

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< Breaker Index Calculators

Water Depth at Breaking given Breaker Depth Index

LaTeX Go Water Depth at Breaking = (Wave Height at Incipient Breaking/Breaker Depth Index)

Wave Height at Incipient Breaking given Breaker Depth Index

LaTeX Go Wave Height at Incipient Breaking = Breaker Depth Index*Water Depth at Breaking

Breaker Depth Index

LaTeX Go Breaker Depth Index = Wave Height at Incipient Breaking/Water Depth at Breaking

Breaker Height Index

LaTeX Go Breaker Height Index = Wave Height at Incipient Breaking/Deep-Water Wavelength

Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory Formula

LaTeX Go

Breaker Height Index = 0.56*(Equivalent Unrefracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5)
Ω_b = 0.56*(H'_o/λ_o)^(-1/5)

What is Breaker Index?

The Breaker Index is defined as the ratio between the height of a wave and the water depth in which the wave breaks. or The ratio of wave height and still water depth at the shore face location where waves start breaking.

How to Calculate Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory?

Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory calculator uses Breaker Height Index = 0.56*(Equivalent Unrefracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5) to calculate the Breaker Height Index, The Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory formula is defined as estimating the location on the shoreface where wave breaking occurs based on empirical formulas where the Breaker Height Index is the ratio of the wave height at breaking, to the water depth at the breakpoint. Breaker Height Index is denoted by Ω_b symbol.

How to calculate Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory using this online calculator? To use this online calculator for Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory, enter Equivalent Unrefracted Deepwater Wave Height (H'_o) & Deep-Water Wavelength (λ_o) and hit the calculate button. Here is how the Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory calculation can be explained with given input values -> 2.540899 = 0.56*(0.00364/7)^(-1/5).

FAQ

What is Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory?

The Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory formula is defined as estimating the location on the shoreface where wave breaking occurs based on empirical formulas where the Breaker Height Index is the ratio of the wave height at breaking, to the water depth at the breakpoint and is represented as Ω_b = 0.56*(H'_o/λ_o)^(-1/5) or Breaker Height Index = 0.56*(Equivalent Unrefracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5). Equivalent Unrefracted Deepwater Wave Height (EDWH) is a parameter used particularly in wave behaviour and breakwater design, defined in relation to the Breaker Height Index from Linear Wave Theory & Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.

How to calculate Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory?

The Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory formula is defined as estimating the location on the shoreface where wave breaking occurs based on empirical formulas where the Breaker Height Index is the ratio of the wave height at breaking, to the water depth at the breakpoint is calculated using Breaker Height Index = 0.56*(Equivalent Unrefracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5). To calculate Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory, you need Equivalent Unrefracted Deepwater Wave Height (H'_o) & Deep-Water Wavelength (λ_o). With our tool, you need to enter the respective value for Equivalent Unrefracted Deepwater Wave Height & Deep-Water 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 Breaker Height Index?

In this formula, Breaker Height Index uses Equivalent Unrefracted Deepwater Wave Height & Deep-Water Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

Breaker Height Index = Wave Height at Incipient Breaking/Deep-Water Wavelength

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