Zero-Moment Wave Height at Breaking Calculator

✖Local Depth refers to the vertical distance from a specified datum to the sea floor is a critical parameter in many coastal processes, wave transformation, sediment transport, and structure design.ⓘ Local Depth [d_l]

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✖Zero-Moment Wave Height used to describe the wave field is four times the standard deviation of the surface elevation, or four times the square root of the zeroth-order moment of the wave spectrum.ⓘ Zero-Moment Wave Height at Breaking [H_m0,b]

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Formula

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Zero-Moment Wave Height at Breaking

Formula

`"H"_{"m0,b"} = 0.6*"d"_{"l"}`

Example

`"12m"=0.6*"20.0m"`

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Zero-Moment Wave Height at Breaking Solution

STEP 0: Pre-Calculation Summary

Formula Used

Zero-Moment Wave Height = 0.6*Local Depth
H_m0,b = 0.6*d_l
This formula uses 2 Variables

Variables Used

Zero-Moment Wave Height - (Measured in Meter) - Zero-Moment Wave Height used to describe the wave field is four times the standard deviation of the surface elevation, or four times the square root of the zeroth-order moment of the wave spectrum.
Local Depth - (Measured in Meter) - Local Depth refers to the vertical distance from a specified datum to the sea floor is a critical parameter in many coastal processes, wave transformation, sediment transport, and structure design.

STEP 1: Convert Input(s) to Base Unit

Local Depth: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_m0,b = 0.6*d_l --> 0.6*20

Evaluating ... ...

H_m0,b = 12

STEP 3: Convert Result to Output's Unit

12 Meter --> No Conversion Required

FINAL ANSWER

12 Meter <-- Zero-Moment Wave Height

(Calculation completed in 00.004 seconds)

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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

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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

Zero-Moment Wave Height at Breaking Formula

Zero-Moment Wave Height = 0.6*Local Depth
H_m0,b = 0.6*d_l

What is Breaker Index?

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 Zero-Moment Wave Height at Breaking?

Zero-Moment Wave Height at Breaking calculator uses Zero-Moment Wave Height = 0.6*Local Depth to calculate the Zero-Moment Wave Height, The Zero-Moment Wave Height at Breaking formula is defined as the wave height (trough to crest) of the highest third of the waves is four times the standard deviation of the surface elevation – or equivalently as four times the square root of the zeroth-order moment (area) of the wave spectrum. Zero-Moment Wave Height is denoted by H_m0,b symbol.

How to calculate Zero-Moment Wave Height at Breaking using this online calculator? To use this online calculator for Zero-Moment Wave Height at Breaking, enter Local Depth (d_l) and hit the calculate button. Here is how the Zero-Moment Wave Height at Breaking calculation can be explained with given input values -> 12 = 0.6*20.

FAQ

What is Zero-Moment Wave Height at Breaking?

The Zero-Moment Wave Height at Breaking formula is defined as the wave height (trough to crest) of the highest third of the waves is four times the standard deviation of the surface elevation – or equivalently as four times the square root of the zeroth-order moment (area) of the wave spectrum and is represented as H_m0,b = 0.6*d_l or Zero-Moment Wave Height = 0.6*Local Depth. Local Depth refers to the vertical distance from a specified datum to the sea floor is a critical parameter in many coastal processes, wave transformation, sediment transport, and structure design.

How to calculate Zero-Moment Wave Height at Breaking?

The Zero-Moment Wave Height at Breaking formula is defined as the wave height (trough to crest) of the highest third of the waves is four times the standard deviation of the surface elevation – or equivalently as four times the square root of the zeroth-order moment (area) of the wave spectrum is calculated using Zero-Moment Wave Height = 0.6*Local Depth. To calculate Zero-Moment Wave Height at Breaking, you need Local Depth (d_l). With our tool, you need to enter the respective value for Local Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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