Deepwater Wave Height given Breaker Height Index Solution

STEP 0: Pre-Calculation Summary
Formula Used
Deep-Water Wavelength = Wave Height at Incipient Breaking/Breaker Height Index
λo = Hb/Ωb
This formula uses 3 Variables
Variables Used
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.
Wave Height at Incipient Breaking - (Measured in Meter) - Wave Height at Incipient Breaking is defined as the point that wave height is maximum.
Breaker Height Index - Breaker Height Index is the ratio of wave height and still water depth at the shore face location where waves start breaking.
STEP 1: Convert Input(s) to Base Unit
Wave Height at Incipient Breaking: 18 Meter --> 18 Meter No Conversion Required
Breaker Height Index: 2.57 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λo = Hbb --> 18/2.57
Evaluating ... ...
λo = 7.00389105058366
STEP 3: Convert Result to Output's Unit
7.00389105058366 Meter --> No Conversion Required
FINAL ANSWER
7.00389105058366 7.003891 Meter <-- Deep-Water Wavelength
(Calculation completed in 00.020 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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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

Deepwater Wave Height given Breaker Height Index Formula

Deep-Water Wavelength = Wave Height at Incipient Breaking/Breaker Height Index
λo = Hb/Ωb

What is Beach Slope?

The Beach Slope in the tailings industry refers to the surface slope of the tailings after being hydraulically or mechanical deposited from a point of discharge. This is the slope the tailings settle at after being discharged from the end of a pipe.

How to Calculate Deepwater Wave Height given Breaker Height Index?

Deepwater Wave Height given Breaker Height Index calculator uses Deep-Water Wavelength = Wave Height at Incipient Breaking/Breaker Height Index to calculate the Deep-Water Wavelength, The Deepwater Wave Height given Breaker Height Index is defined as a parameter influencing Breaker Depth Index that is commonly used to define the wave height at breaking. Deep-Water Wavelength is denoted by λo symbol.

How to calculate Deepwater Wave Height given Breaker Height Index using this online calculator? To use this online calculator for Deepwater Wave Height given Breaker Height Index, enter Wave Height at Incipient Breaking (Hb) & Breaker Height Index b) and hit the calculate button. Here is how the Deepwater Wave Height given Breaker Height Index calculation can be explained with given input values -> 7.003891 = 18/2.57.

FAQ

What is Deepwater Wave Height given Breaker Height Index?
The Deepwater Wave Height given Breaker Height Index is defined as a parameter influencing Breaker Depth Index that is commonly used to define the wave height at breaking and is represented as λo = Hbb or Deep-Water Wavelength = Wave Height at Incipient Breaking/Breaker Height Index. Wave Height at Incipient Breaking is defined as the point that wave height is maximum & Breaker Height Index is the ratio of wave height and still water depth at the shore face location where waves start breaking.
How to calculate Deepwater Wave Height given Breaker Height Index?
The Deepwater Wave Height given Breaker Height Index is defined as a parameter influencing Breaker Depth Index that is commonly used to define the wave height at breaking is calculated using Deep-Water Wavelength = Wave Height at Incipient Breaking/Breaker Height Index. To calculate Deepwater Wave Height given Breaker Height Index, you need Wave Height at Incipient Breaking (Hb) & Breaker Height Index b). With our tool, you need to enter the respective value for Wave Height at Incipient Breaking & Breaker Height 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 Deep-Water Wavelength?
In this formula, Deep-Water Wavelength uses Wave Height at Incipient Breaking & Breaker Height Index. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Deep-Water Wavelength = Equivalent Un-refracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5)
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