Wave Height at Incipient Breaking using Beach Slope Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Hb = [g]*Tb^2*(b-γb)/a
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
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.
Breaker Depth Index - Breaker Depth Index is commonly used to define the wave height at breaking.
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.
STEP 1: Convert Input(s) to Base Unit
Wave Period for Breaker Index: 8.06 Second --> 8.06 Second No Conversion Required
Empirically determined Functions of Beach Slope B: 1.56 --> No Conversion Required
Breaker Depth Index: 0.32 --> No Conversion Required
Empirically determined Functions of Beach Slope A: 43.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hb = [g]*Tb^2*(b-γb)/a --> [g]*8.06^2*(1.56-0.32)/43.8
Evaluating ... ...
Hb = 18.0359213937352
STEP 3: Convert Result to Output's Unit
18.0359213937352 Meter --> No Conversion Required
FINAL ANSWER
18.0359213937352 18.03592 Meter <-- Wave Height at Incipient Breaking
(Calculation completed in 00.004 seconds)

Credits

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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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

Wave Height at Incipient Breaking using Beach Slope Formula

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
Hb = [g]*Tb^2*(b-γb)/a

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 shore face location where waves start breaking.

How to Calculate Wave Height at Incipient Breaking using Beach Slope?

Wave Height at Incipient Breaking using Beach Slope calculator uses 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 to calculate the Wave Height at Incipient Breaking, The Wave Height at Incipient Breaking using Beach Slope is defined as the maximum wave height before waves start to break due to the beach slope. Wave Height at Incipient Breaking is denoted by Hb symbol.

How to calculate Wave Height at Incipient Breaking using Beach Slope using this online calculator? To use this online calculator for Wave Height at Incipient Breaking using Beach Slope, enter Wave Period for Breaker Index (Tb), Empirically determined Functions of Beach Slope B (b), Breaker Depth Index b) & Empirically determined Functions of Beach Slope A (a) and hit the calculate button. Here is how the Wave Height at Incipient Breaking using Beach Slope calculation can be explained with given input values -> 18.03592 = [g]*8.06^2*(1.56-0.32)/43.8.

FAQ

What is Wave Height at Incipient Breaking using Beach Slope?
The Wave Height at Incipient Breaking using Beach Slope is defined as the maximum wave height before waves start to break due to the beach slope and is represented as Hb = [g]*Tb^2*(b-γb)/a or 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. 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, Empirically determined Functions of Beach Slope B empirically establish correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates, Breaker Depth Index is commonly used to define the wave height at breaking & Empirically determined Functions of Beach Slope A empirically establish correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates.
How to calculate Wave Height at Incipient Breaking using Beach Slope?
The Wave Height at Incipient Breaking using Beach Slope is defined as the maximum wave height before waves start to break due to the beach slope is calculated using 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. To calculate Wave Height at Incipient Breaking using Beach Slope, you need Wave Period for Breaker Index (Tb), Empirically determined Functions of Beach Slope B (b), Breaker Depth Index b) & Empirically determined Functions of Beach Slope A (a). With our tool, you need to enter the respective value for Wave Period for Breaker Index, Empirically determined Functions of Beach Slope B, Breaker Depth Index & Empirically determined Functions of Beach Slope A 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 Wave Period for Breaker Index, Empirically determined Functions of Beach Slope B, Breaker Depth Index & Empirically determined Functions of Beach Slope A. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Wave Height at Incipient Breaking = Breaker Depth Index*Water Depth at Breaking
  • Wave Height at Incipient Breaking = Breaker Height Index*Deep-Water Wavelength
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