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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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 00.020 seconds)

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

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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National Institute of Technology Karnataka (NITK), Surathkal

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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

Wave Period given Breaker Depth Index Formula

LaTeX 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)))
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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