Wave Period given Breaker Depth Index Calculator

✖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%
✖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%
✖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%

✖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 given Breaker Depth Index [T_b]

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Formula

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Wave Period given Breaker Depth Index

Formula

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

Example

`"8.05197s"=sqrt(("43.8"*"18m")/("[g]"*("1.56"-"0.32")))`

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Wave Period given Breaker Depth Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.
Breaker Depth Index - Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.

STEP 1: Convert Input(s) to Base Unit

Functions of Beach Slope A: 43.8 --> No Conversion Required
Wave Height at Incipient Breaking: 18 Meter --> 18 Meter No Conversion Required
Functions of Beach Slope B: 1.56 --> No Conversion Required
Breaker Depth Index: 0.32 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_b = sqrt((a*H_b)/([g]*(b-γ_b))) --> sqrt((43.8*18)/([g]*(1.56-0.32)))

Evaluating ... ...

T_b = 8.05196961634633

STEP 3: Convert Result to Output's Unit

8.05196961634633 Second --> No Conversion Required

FINAL ANSWER

8.05196961634633 ≈ 8.05197 Second <-- Wave Period for Breaker Index

(Calculation completed in 00.004 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 Period given Breaker Depth Index Formula

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)))
T_b = sqrt((a*H_b)/([g]*(b-γ_b)))

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.

How to Calculate Wave Period given Breaker Depth Index?

Wave Period given Breaker Depth Index calculator uses 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))) to calculate the Wave Period for Breaker Index, The Wave Period given Breaker Depth Index formula is defined as the time it takes to complete one cycle, standard unit of 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. Wave Period for Breaker Index is denoted by T_b symbol.

How to calculate Wave Period given Breaker Depth Index using this online calculator? To use this online calculator for Wave Period given Breaker Depth Index, enter Functions of Beach Slope A (a), Wave Height at Incipient Breaking (H_b), Functions of Beach Slope B (b) & Breaker Depth Index (γ_b) and hit the calculate button. Here is how the Wave Period given Breaker Depth Index calculation can be explained with given input values -> 8.05197 = sqrt((43.8*18)/([g]*(1.56-0.32))).

FAQ

What is Wave Period given Breaker Depth Index?

The Wave Period given Breaker Depth Index formula is defined as the time it takes to complete one cycle, standard unit of 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 and is represented as T_b = sqrt((a*H_b)/([g]*(b-γ_b))) or 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))). 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, 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 & Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.

How to calculate Wave Period given Breaker Depth Index?

The Wave Period given Breaker Depth Index formula is defined as the time it takes to complete one cycle, standard unit of 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 is calculated using 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))). To calculate Wave Period given Breaker Depth Index, you need Functions of Beach Slope A (a), Wave Height at Incipient Breaking (H_b), Functions of Beach Slope B (b) & Breaker Depth Index (γ_b). With our tool, you need to enter the respective value for Functions of Beach Slope A, Wave Height at Incipient Breaking, Functions of Beach Slope B & Breaker Depth Index and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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