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*(Functions of Beach Slope B-Breaker Depth Index)/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 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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Wave Period for Breaker Index: 8 Second --> 8 Second No Conversion Required
Functions of Beach Slope B: 1.56 --> No Conversion Required
Breaker Depth Index: 0.32 --> No Conversion Required
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]*8^2*(1.56-0.32)/43.8
Evaluating ... ...
Hb = 17.7683959817352
STEP 3: Convert Result to Output's Unit
17.7683959817352 Meter --> No Conversion Required
FINAL ANSWER
17.7683959817352 17.7684 Meter <-- Wave Height at Incipient Breaking
(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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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 Height at Incipient Breaking using Beach Slope Formula

​LaTeX ​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
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*(Functions of Beach Slope B-Breaker Depth Index)/Functions of Beach Slope A to calculate the Wave Height at Incipient Breaking, The Wave Height at Incipient Breaking using Beach Slope formula 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), Functions of Beach Slope B (b), Breaker Depth Index b) & 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]*8^2*(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 formula 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*(Functions of Beach Slope B-Breaker Depth Index)/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, 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 & 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.
How to calculate Wave Height at Incipient Breaking using Beach Slope?
The Wave Height at Incipient Breaking using Beach Slope formula 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*(Functions of Beach Slope B-Breaker Depth Index)/Functions of Beach Slope A. To calculate Wave Height at Incipient Breaking using Beach Slope, you need Wave Period for Breaker Index (Tb), Functions of Beach Slope B (b), Breaker Depth Index b) & Functions of Beach Slope A (a). With our tool, you need to enter the respective value for Wave Period for Breaker Index, Functions of Beach Slope B, Breaker Depth Index & 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, Functions of Beach Slope B, Breaker Depth Index & 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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