Breaker Depth Index given Wave Period Calculator

✖Functions of Beach Slope B is an empirically determined parameter that establishes correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates.ⓘ Functions of Beach Slope B [b]			+10% -10%
✖Functions of Beach Slope A is an empirically determined parameter that establishes correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates.ⓘ Functions of Beach Slope A [a]			+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 [H_b]			+10% -10%
✖Wave Period for Breaker Index influences the breaker index in the surf wave zone, determining wave steepness and the likelihood of waves breaking, impacting surf quality and rideability.ⓘ Wave Period for Breaker Index [T_b]			+10% -10%

✖Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.ⓘ Breaker Depth Index given Wave Period [γ_b]

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Formula

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Breaker Depth Index given Wave Period

Formula

`"γ"_{"b"} = "b"-"a"*("H"_{"b"}/("[g]"*"T"_{"b"}^2))`

Example

`"0.303837"="1.56"-"43.8"*("18m"/("[g]"*("8s")^2))`

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Breaker Depth Index given Wave Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
γ_b = b-a*(H_b/([g]*T_b^2))
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Breaker Depth Index - Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.
Functions of Beach Slope B - Functions of Beach Slope B is an empirically determined parameter that establishes correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates.
Functions of Beach Slope A - Functions of Beach Slope A is an empirically determined parameter that establishes correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates.
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.
Wave Period for Breaker Index - (Measured in Second) - Wave Period for Breaker Index influences the breaker index in the surf wave zone, determining wave steepness and the likelihood of waves breaking, impacting surf quality and rideability.

STEP 1: Convert Input(s) to Base Unit

Functions of Beach Slope B: 1.56 --> No Conversion Required
Functions of Beach Slope A: 43.8 --> No Conversion Required
Wave Height at Incipient Breaking: 18 Meter --> 18 Meter No Conversion Required
Wave Period for Breaker Index: 8 Second --> 8 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_b = b-a*(H_b/([g]*T_b^2)) --> 1.56-43.8*(18/([g]*8^2))

Evaluating ... ...

γ_b = 0.303837090137815

STEP 3: Convert Result to Output's Unit

0.303837090137815 --> No Conversion Required

FINAL ANSWER

0.303837090137815 ≈ 0.303837 <-- Breaker Depth Index

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Surf Zone Waves » Breaker Index » Breaker Depth Index given Wave Period

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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

Breaker Depth Index given Wave Period Formula

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))
γ_b = b-a*(H_b/([g]*T_b^2))

What is Wave Period?

The Wave Period is the time it takes to complete one cycle. The standard unit of a wave period is in seconds, and it is inversely proportional to the frequency of a wave, which is the number of cycles of waves that occur in one second. In other words, the higher the frequency of a wave, the lower the wave period.

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 shoreface location where waves start breaking.

How to Calculate Breaker Depth Index given Wave Period?

Breaker Depth Index given Wave Period calculator uses 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)) to calculate the Breaker Depth Index, The Breaker Depth Index given Wave Period formula is defined as the ratio of the wave height at breaking, to the water depth at the breakpoint used to estimate the location on the shoreface where wave breaking occurs given wave period. Breaker Depth Index is denoted by γ_b symbol.

How to calculate Breaker Depth Index given Wave Period using this online calculator? To use this online calculator for Breaker Depth Index given Wave Period, enter Functions of Beach Slope B (b), Functions of Beach Slope A (a), Wave Height at Incipient Breaking (H_b) & Wave Period for Breaker Index (T_b) and hit the calculate button. Here is how the Breaker Depth Index given Wave Period calculation can be explained with given input values -> 0.32247 = 1.56-43.8*(18/([g]*8^2)).

FAQ

What is Breaker Depth Index given Wave Period?

The Breaker Depth Index given Wave Period formula is defined as the ratio of the wave height at breaking, to the water depth at the breakpoint used to estimate the location on the shoreface where wave breaking occurs given wave period and is represented as γ_b = b-a*(H_b/([g]*T_b^2)) or 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)). Functions of Beach Slope B is an empirically determined parameter that establishes correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates, Functions of Beach Slope A is an empirically determined parameter that establishes correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates, 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 Period for Breaker Index influences the breaker index in the surf wave zone, determining wave steepness and the likelihood of waves breaking, impacting surf quality and rideability.

How to calculate Breaker Depth Index given Wave Period?

The Breaker Depth Index given Wave Period formula is defined as the ratio of the wave height at breaking, to the water depth at the breakpoint used to estimate the location on the shoreface where wave breaking occurs given wave period is calculated using 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)). To calculate Breaker Depth Index given Wave Period, you need Functions of Beach Slope B (b), Functions of Beach Slope A (a), Wave Height at Incipient Breaking (H_b) & Wave Period for Breaker Index (T_b). With our tool, you need to enter the respective value for Functions of Beach Slope B, Functions of Beach Slope A, Wave Height at Incipient Breaking & Wave Period for Breaker Index 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 Depth Index?

In this formula, Breaker Depth Index uses Functions of Beach Slope B, Functions of Beach Slope A, Wave Height at Incipient Breaking & Wave Period for Breaker Index. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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