Wave Height at Incipient Breaking given Breaker Height Index Calculator

✖Breaker Height Index is the ratio of wave height and still water depth at the shore face location where waves start breaking.ⓘ Breaker Height Index [Ω_b]			+10% -10%
✖Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.ⓘ Deep-Water Wavelength [λ_o]			+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 given Breaker Height Index [H_b]

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Wave Height at Incipient Breaking given Breaker Height Index

Formula

`"H"_{"b"} = "Ω"_{"b"}*"λ"_{"o"}`

Example

`"17.85m"="2.55"*"7m"`

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Wave Height at Incipient Breaking given Breaker Height Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height at Incipient Breaking = Breaker Height Index*Deep-Water Wavelength
H_b = Ω_b*λ_o
This formula uses 3 Variables

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.
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.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.

STEP 1: Convert Input(s) to Base Unit

Breaker Height Index: 2.55 --> No Conversion Required
Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_b = Ω_b*λ_o --> 2.55*7

Evaluating ... ...

H_b = 17.85

STEP 3: Convert Result to Output's Unit

17.85 Meter --> No Conversion Required

FINAL ANSWER

17.85 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

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((Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Functions of Beach Slope B-Breaker Depth Index)))

Breaker Depth Index given Wave Period

Go Breaker Depth Index = Functions of Beach Slope B-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*(Functions of Beach Slope B-Breaker Depth Index)/Functions of Beach Slope A

Semi-Empirical Relationship for Breaker Height Index from Linear Wave Theory

Go Breaker Height Index = 0.56*(Equivalent Unrefracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5)

Equivalent Unrefracted Deepwater Wave Height given Breaker Height Index from Linear Wave Theory

Go Equivalent Unrefracted Deepwater Wave Height = Deep-Water Wavelength*(Breaker Height Index/0.56)^(-5)

Deepwater Wavelength given Breaker Height Index from Linear Wave Theory

Go Deep-Water Wavelength = Equivalent Unrefracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5)

Water Depth at 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 Root Mean Square Wave Height

Go Local Depth = Root Mean Square Wave Height/0.42

Root Mean Square Wave Height at Breaking

Go Root Mean Square Wave Height = 0.42*Local Depth

Local Depth given Zero Moment Wave Height

Go Local Depth = Zero-Moment Wave Height/0.6

Zero-Moment Wave Height at Breaking

Go Zero-Moment Wave Height = 0.6*Local Depth

Wave Height at Incipient Breaking given Breaker Height Index Formula

Wave Height at Incipient Breaking = Breaker Height Index*Deep-Water Wavelength
H_b = Ω_b*λ_o

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 Wave Height at Incipient Breaking given Breaker Height Index?

Wave Height at Incipient Breaking given Breaker Height Index calculator uses Wave Height at Incipient Breaking = Breaker Height Index*Deep-Water Wavelength to calculate the Wave Height at Incipient Breaking, The Wave Height at Incipient Breaking given Breaker Height Index formula is defined as the height of a wave at the point of incipient breaking, which is when the wave begins to break given the ratio of the breaking wave height (H_b) to the water depth at the breaking point. Wave Height at Incipient Breaking is denoted by H_b symbol.

How to calculate Wave Height at Incipient Breaking given Breaker Height Index using this online calculator? To use this online calculator for Wave Height at Incipient Breaking given Breaker Height Index, enter Breaker Height Index (Ω_b) & Deep-Water Wavelength (λ_o) and hit the calculate button. Here is how the Wave Height at Incipient Breaking given Breaker Height Index calculation can be explained with given input values -> 17.78 = 2.55*7.

FAQ

What is Wave Height at Incipient Breaking given Breaker Height Index?

The Wave Height at Incipient Breaking given Breaker Height Index formula is defined as the height of a wave at the point of incipient breaking, which is when the wave begins to break given the ratio of the breaking wave height (H_b) to the water depth at the breaking point and is represented as H_b = Ω_b*λ_o or Wave Height at Incipient Breaking = Breaker Height Index*Deep-Water Wavelength. Breaker Height Index is the ratio of wave height and still water depth at the shore face location where waves start breaking & Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.

How to calculate Wave Height at Incipient Breaking given Breaker Height Index?

The Wave Height at Incipient Breaking given Breaker Height Index formula is defined as the height of a wave at the point of incipient breaking, which is when the wave begins to break given the ratio of the breaking wave height (H_b) to the water depth at the breaking point is calculated using Wave Height at Incipient Breaking = Breaker Height Index*Deep-Water Wavelength. To calculate Wave Height at Incipient Breaking given Breaker Height Index, you need Breaker Height Index (Ω_b) & Deep-Water Wavelength (λ_o). With our tool, you need to enter the respective value for Breaker Height Index & Deep-Water Wavelength 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 Breaker Height Index & Deep-Water Wavelength. 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 = [g]*Wave Period for Breaker Index^2*(Functions of Beach Slope B-Breaker Depth Index)/Functions of Beach Slope A

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