Wave Height at Incipient Breaking given Breaker Depth Index Calculator

✖Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.ⓘ Breaker Depth Index [γ_b]			+10% -10%
✖Water Depth at Breaking is the depth of water where ocean surface waves start to break as they approach the shore which depends on the wave climate and is therefore highly variable.ⓘ Water Depth at Breaking [d_b]			+10% -10%

✖Wave Height at Incipient Breaking refers to the height of the wave at the point where it starts breaking, often referred to as the breaker point.ⓘ Wave Height at Incipient Breaking given Breaker Depth Index [H_b]

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Formula

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Wave Height at Incipient Breaking given Breaker Depth Index

Formula

`"H"_{"b"} = "γ"_{"b"}*"d"_{"b"}`

Example

`"17.6m"="0.32"*"55m"`

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Wave Height at Incipient Breaking given Breaker Depth Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height at Incipient Breaking = Breaker Depth Index*Water Depth at Breaking
H_b = γ_b*d_b
This formula uses 3 Variables

Variables Used

Wave Height at Incipient Breaking - (Measured in Meter) - Wave Height at Incipient Breaking refers to the height of the wave at the point where it starts breaking, often referred to as the breaker point.
Breaker Depth Index - Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.
Water Depth at Breaking - (Measured in Meter) - Water Depth at Breaking is the depth of water where ocean surface waves start to break as they approach the shore which depends on the wave climate and is therefore highly variable.

STEP 1: Convert Input(s) to Base Unit

Breaker Depth Index: 0.32 --> No Conversion Required
Water Depth at Breaking: 55 Meter --> 55 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_b = γ_b*d_b --> 0.32*55

Evaluating ... ...

H_b = 17.6

STEP 3: Convert Result to Output's Unit

17.6 Meter --> No Conversion Required

FINAL ANSWER

17.6 Meter <-- Wave Height at Incipient Breaking

(Calculation completed in 00.009 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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

Wave Height at Incipient Breaking given Breaker Depth Index Formula

Wave Height at Incipient Breaking = Breaker Depth Index*Water Depth at Breaking
H_b = γ_b*d_b

What is Breaker Index?

Breaker Index is defined as the ratio between the height of a wave and the water depth in which the wave breaks.

How to Calculate Wave Height at Incipient Breaking given Breaker Depth Index?

Wave Height at Incipient Breaking given Breaker Depth Index calculator uses Wave Height at Incipient Breaking = Breaker Depth Index*Water Depth at Breaking to calculate the Wave Height at Incipient Breaking, The Wave Height at Incipient Breaking given Breaker Depth Index formula is defined as the height of a wave at the point of incipient breaking, which is when the wave begins to break given the ratio of the breaking wave height (H_b) to the water depth at the breaking point. Wave Height at Incipient Breaking is denoted by H_b symbol.

How to calculate Wave Height at Incipient Breaking given Breaker Depth Index using this online calculator? To use this online calculator for Wave Height at Incipient Breaking given Breaker Depth Index, enter Breaker Depth Index (γ_b) & Water Depth at Breaking (d_b) and hit the calculate button. Here is how the Wave Height at Incipient Breaking given Breaker Depth Index calculation can be explained with given input values -> 11 = 0.32*55.

FAQ

What is Wave Height at Incipient Breaking given Breaker Depth Index?

The Wave Height at Incipient Breaking given Breaker Depth Index formula is defined as the height of a wave at the point of incipient breaking, which is when the wave begins to break given the ratio of the breaking wave height (H_b) to the water depth at the breaking point and is represented as H_b = γ_b*d_b or Wave Height at Incipient Breaking = Breaker Depth Index*Water Depth at Breaking. Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint & Water Depth at Breaking is the depth of water where ocean surface waves start to break as they approach the shore which depends on the wave climate and is therefore highly variable.

How to calculate Wave Height at Incipient Breaking given Breaker Depth Index?

The Wave Height at Incipient Breaking given Breaker Depth Index formula is defined as the height of a wave at the point of incipient breaking, which is when the wave begins to break given the ratio of the breaking wave height (H_b) to the water depth at the breaking point is calculated using Wave Height at Incipient Breaking = Breaker Depth Index*Water Depth at Breaking. To calculate Wave Height at Incipient Breaking given Breaker Depth Index, you need Breaker Depth Index (γ_b) & Water Depth at Breaking (d_b). With our tool, you need to enter the respective value for Breaker Depth Index & Water Depth at Breaking 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 at Incipient Breaking?

In this formula, Wave Height at Incipient Breaking uses Breaker Depth Index & Water Depth at Breaking. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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