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 wavelength of a wave when the water depth is greater than half of its wavelength.ⓘ 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

Formula

`"Ω"_{"b"} = 0.56*("H'"_{"o"}/"λ"_{"o"})^(-1/5)`

Example

`"2.540899"=0.56*("0.00364m"/"7m")^(-1/5)`

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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 wavelength of a wave when the water depth is greater than half of its wavelength.

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 00.004 seconds)

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< 16 Breaker Index Calculators

Wave Period given Breaker Depth Index

Go Wave Period for Breaker Index = sqrt((Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Functions of Beach Slope B-Breaker Depth Index)))

Breaker Depth Index given Wave Period

Go Breaker Depth Index = Functions of Beach Slope B-Functions of Beach Slope A*(Wave Height at Incipient Breaking/([g]*Wave Period for Breaker Index^2))

Wave Height at Incipient Breaking using Beach Slope

Go Wave Height at Incipient Breaking = [g]*Wave Period for Breaker Index^2*(Functions of Beach Slope B-Breaker Depth Index)/Functions of Beach Slope A

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

Go Breaker Height Index = 0.56*(Equivalent Unrefracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5)

Equivalent Unrefracted Deepwater Wave Height given Breaker Height Index from Linear Wave Theory

Go Equivalent Unrefracted Deepwater Wave Height = Deep-Water Wavelength*(Breaker Height Index/0.56)^(-5)

Deepwater Wavelength given Breaker Height Index from Linear Wave Theory

Go Deep-Water Wavelength = Equivalent Unrefracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5)

Water Depth at Breaking given Breaker Depth Index

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

Wave Height at Incipient Breaking given Breaker Depth Index

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

Breaker Depth Index

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

Wave Height at Incipient Breaking given Breaker Height Index

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

Deepwater Wave Height given Breaker Height Index

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

Breaker Height Index

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

Local Depth given Root Mean Square Wave Height

Go Local Depth = Root Mean Square Wave Height/0.42

Root Mean Square Wave Height at Breaking

Go Root Mean Square Wave Height = 0.42*Local Depth

Local Depth given Zero Moment Wave Height

Go Local Depth = Zero-Moment Wave Height/0.6

Zero-Moment Wave Height at Breaking

Go Zero-Moment Wave Height = 0.6*Local Depth

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

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 wavelength of a wave when the water depth is greater than half of its wavelength.

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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