Breaker Depth Index given Wave Period Solution

STEP 0: Pre-Calculation Summary
Formula Used
Breaker Depth Index = Empirically determined Functions of Beach Slope B-Empirically determined Functions of Beach Slope A*(Wave Height at Incipient Breaking/([g]*Wave Period for Breaker Index^2))
γb = b-a*(Hb/([g]*Tb^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 commonly used to define the wave height at breaking.
Empirically determined Functions of Beach Slope B - Empirically determined Functions of Beach Slope B empirically establish correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates.
Empirically determined Functions of Beach Slope A - Empirically determined Functions of Beach Slope A empirically establish 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 is defined as the point that wave height is maximum.
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
Empirically determined Functions of Beach Slope B: 1.56 --> No Conversion Required
Empirically determined 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: 8.06 Second --> 8.06 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γb = b-a*(Hb/([g]*Tb^2)) --> 1.56-43.8*(18/([g]*8.06^2))
Evaluating ... ...
γb = 0.322469656374033
STEP 3: Convert Result to Output's Unit
0.322469656374033 --> No Conversion Required
FINAL ANSWER
0.322469656374033 0.32247 <-- Breaker Depth Index
(Calculation completed in 00.004 seconds)

Credits

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((Empirically determined Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Empirically determined Functions of Beach Slope B-Breaker Depth Index)))
Breaker Depth Index given Wave Period
Go Breaker Depth Index = Empirically determined Functions of Beach Slope B-Empirically determined 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*(Empirically determined Functions of Beach Slope B-Breaker Depth Index)/Empirically determined Functions of Beach Slope A
Semi-Empirical relationship for Breaker Height Index from Linear Wave Theory
Go Breaker Height Index = 0.56*(Equivalent Un-refracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5)
Equivalent Un-refracted Deepwater Wave Height given Breaker Height Index from Linear Wave Theory
Go Equivalent Un-refracted Deepwater Wave Height = Deep-Water Wavelength*(Breaker Height Index/0.56)^(-5)
Deepwater Wave Length given Breaker Height Index from Linear Wave Theory
Go Deep-Water Wavelength = Equivalent Un-refracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5)
Water Depth 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 Zero-moment Wave Height at Breaking
Go Local Depth = Zero-moment Wave Height at Breaking/0.6
Zero-moment Wave Height at Breaking
Go Zero-moment Wave Height at Breaking = 0.6*Local Depth
Local Depth given Root-mean-square Wave Height at Breaking
Go Local Depth = RMS of all measured Wave Heights/0.42
Root-mean-square Wave Height at Breaking
Go RMS of all measured Wave Heights = 0.42*Local Depth

Breaker Depth Index given Wave Period Formula

Breaker Depth Index = Empirically determined Functions of Beach Slope B-Empirically determined Functions of Beach Slope A*(Wave Height at Incipient Breaking/([g]*Wave Period for Breaker Index^2))
γb = b-a*(Hb/([g]*Tb^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.

How to Calculate Breaker Depth Index given Wave Period?

Breaker Depth Index given Wave Period calculator uses Breaker Depth Index = Empirically determined Functions of Beach Slope B-Empirically determined Functions of Beach Slope A*(Wave Height at Incipient Breaking/([g]*Wave Period for Breaker Index^2)) to calculate the Breaker Depth Index, Breaker Depth Index given Wave Period is defined as ratio between height of wave and water depth in which wave breaks. Breaker Depth Index is denoted by γb 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 Empirically determined Functions of Beach Slope B (b), Empirically determined Functions of Beach Slope A (a), Wave Height at Incipient Breaking (Hb) & Wave Period for Breaker Index (Tb) 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]*8.06^2)).

FAQ

What is Breaker Depth Index given Wave Period?
Breaker Depth Index given Wave Period is defined as ratio between height of wave and water depth in which wave breaks and is represented as γb = b-a*(Hb/([g]*Tb^2)) or Breaker Depth Index = Empirically determined Functions of Beach Slope B-Empirically determined Functions of Beach Slope A*(Wave Height at Incipient Breaking/([g]*Wave Period for Breaker Index^2)). Empirically determined Functions of Beach Slope B empirically establish correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates, Empirically determined Functions of Beach Slope A empirically establish correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates, Wave Height at Incipient Breaking is defined as the point that wave height is maximum & 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?
Breaker Depth Index given Wave Period is defined as ratio between height of wave and water depth in which wave breaks is calculated using Breaker Depth Index = Empirically determined Functions of Beach Slope B-Empirically determined 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 Empirically determined Functions of Beach Slope B (b), Empirically determined Functions of Beach Slope A (a), Wave Height at Incipient Breaking (Hb) & Wave Period for Breaker Index (Tb). With our tool, you need to enter the respective value for Empirically determined Functions of Beach Slope B, Empirically determined 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 Empirically determined Functions of Beach Slope B, Empirically determined 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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