Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio Calculator

✖Breaker Height-to-Water Depth Ratio, For fully developed waves breaking over a nearly horizontal bottom, breaker height and depth are also direct functions of Deepwater wavelength.ⓘ Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio [HD_ratio]

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Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio

Formula

`"HD"_{"ratio"} = 0.75+(25*"m")-(112*"m"^2)+(3870*"m"^3)`

Example

`"1.23616"=0.75+(25*"0.02")-(112*("0.02")^2)+(3870*("0.02")^3)`

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Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Breaker Height-to-Water Depth Ratio = 0.75+(25*Wave Slope)-(112*Wave Slope^2)+(3870*Wave Slope^3)
HD_ratio = 0.75+(25*m)-(112*m^2)+(3870*m^3)
This formula uses 2 Variables

Variables Used

Breaker Height-to-Water Depth Ratio - Breaker Height-to-Water Depth Ratio, For fully developed waves breaking over a nearly horizontal bottom, breaker height and depth are also direct functions of Deepwater wavelength.
Wave Slope - Wave Slope refers to the rate of change of wave height or wave steepness over a distance.

STEP 1: Convert Input(s) to Base Unit

Wave Slope: 0.02 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

HD_ratio = 0.75+(25*m)-(112*m^2)+(3870*m^3) --> 0.75+(25*0.02)-(112*0.02^2)+(3870*0.02^3)

Evaluating ... ...

HD_ratio = 1.23616

STEP 3: Convert Result to Output's Unit

1.23616 --> No Conversion Required

FINAL ANSWER

1.23616 <-- Breaker Height-to-Water Depth Ratio

(Calculation completed in 00.004 seconds)

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< 17 Solitary Wave Calculators

Wave Height of Unbroken Wave in Water of Finite Depth

Go Height of The Wave = Water Depth from Bed*(((0.141063*(Length of Water Wave/Water Depth from Bed))+(0.0095721*(Length of Water Wave/Water Depth from Bed)^2)+(0.0077829*(Length of Water Wave/Water Depth from Bed)^3))/(1+(0.078834*(Length of Water Wave/Water Depth from Bed))+(0.0317567*(Length of Water Wave/Water Depth from Bed)^2)+(0.0093407*(Length of Water Wave/Water Depth from Bed)^3)))*Solitary Wave Amplitude

Water Surface above Bottom

Go Water Surface Ordinate = Water Depth from Bed+Height of The Wave*(sech(sqrt((3/4)*(Height of The Wave/Water Depth from Bed^3))*(Spatial (Progressive Wave)-(Celerity of The Wave*Temporal (Progressive Wave)))))^2

Maximum Velocity of Solitary Wave

Go Maximum Velocity of Solitary Wave = (Celerity of The Wave*Function of H/d as N)/(1+cos(Function of H/d as M*Elevation above the Bottom/Water Depth from Bed))

Water Depth Given Total Wave Energy per Unit Crest Width of Solitary Wave

Go Water Depth from Bed = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of The Wave^(3/2)))^(2/3)

Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave

Go Height of The Wave = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Water Depth from Bed^(3/2)))^(2/3)

Total Wave Energy per Unit Crest Width of Solitary Wave

Go Total Wave Energy per Unit Crest Width = (8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of The Wave^(3/2)*Water Depth from Bed^(3/2)

Water Surface above Bottom given Pressure Beneath Solitary Wave

Go Ordinate of the Water Surface = (Pressure Under Wave/(Density of Salt Water*[g]))+Elevation above the Bottom

Elevation above Bottom given Pressure Beneath Solitary Wave

Go Elevation above the Bottom = Ordinate of the Water Surface-(Pressure Under Wave/(Density of Salt Water*[g]))

Pressure Beneath Solitary Wave

Go Pressure Under Wave = Density of Salt Water*[g]*(Ordinate of the Water Surface-Elevation above the Bottom)

Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory

Go Water Wave Length = Water Depth from Bed*(21.5*exp(-1.87*(Height of The Wave/Water Depth from Bed)))

Celerity of Solitary Wave

Go Celerity of The Wave = sqrt([g]*(Height of The Wave+Water Depth from Bed))

Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio

Go Breaker Height-to-Water Depth Ratio = 0.75+(25*Wave Slope)-(112*Wave Slope^2)+(3870*Wave Slope^3)

Wave Height given Celerity of Solitary Wave

Go Height of The Wave = (Celerity of The Wave^2/[g])-Water Depth from Bed

Water Depth Given Celerity of Solitary Wave

Go Water Depth from Bed = (Celerity of The Wave^2/[g])-Height of The Wave

Water Depth Given Volume of Water within Wave above Still Water Level

Go Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of The Wave))^(1/3)

Volume of Water above Still Water Level per Unit Crest Width

Go Volume of Water per Unit Crest Width = ((16/3)*Water Depth from Bed^3*Height of The Wave)^0.5

Wave Height Given Volume of Water within Wave above Still Water Level

Go Height of The Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3)

Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio Formula

Breaker Height-to-Water Depth Ratio = 0.75+(25*Wave Slope)-(112*Wave Slope^2)+(3870*Wave Slope^3)
HD_ratio = 0.75+(25*m)-(112*m^2)+(3870*m^3)

What are the Characteristics of Progressive Waves?

A progressive wave is formed due to continuous vibration of the particles of the medium.
The wave travels with a certain velocity.
There is a flow of energy in the direction of the wave.
No particles in the medium are at rest.
The amplitude of all the particles is the same.

How to Calculate Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio?

Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio calculator uses Breaker Height-to-Water Depth Ratio = 0.75+(25*Wave Slope)-(112*Wave Slope^2)+(3870*Wave Slope^3) to calculate the Breaker Height-to-Water Depth Ratio, The Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio is defined as tests of single solitary waves on slopes from m=0.01 to m=0.2 (SPM 1984). Breaker Height-to-Water Depth Ratio is denoted by HD_ratio symbol.

How to calculate Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio using this online calculator? To use this online calculator for Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio, enter Wave Slope (m) and hit the calculate button. Here is how the Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio calculation can be explained with given input values -> 1.23616 = 0.75+(25*0.02)-(112*0.02^2)+(3870*0.02^3).

FAQ

What is Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio?

The Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio is defined as tests of single solitary waves on slopes from m=0.01 to m=0.2 (SPM 1984) and is represented as HD_ratio = 0.75+(25*m)-(112*m^2)+(3870*m^3) or Breaker Height-to-Water Depth Ratio = 0.75+(25*Wave Slope)-(112*Wave Slope^2)+(3870*Wave Slope^3). Wave Slope refers to the rate of change of wave height or wave steepness over a distance.

How to calculate Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio?

The Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio is defined as tests of single solitary waves on slopes from m=0.01 to m=0.2 (SPM 1984) is calculated using Breaker Height-to-Water Depth Ratio = 0.75+(25*Wave Slope)-(112*Wave Slope^2)+(3870*Wave Slope^3). To calculate Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio, you need Wave Slope (m). With our tool, you need to enter the respective value for Wave Slope 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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