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

✖Total Wave Energy per unit crest width is the transport and capture of energy by ocean surface waves. The energy is then used for useful work.ⓘ Total Wave Energy per Unit Crest Width [E]			+10% -10%
✖The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water.ⓘ Density of Salt Water [ρ_s]			+10% -10%
✖Water depth from bed means the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth from Bed [D_w]			+10% -10%

✖Height of The Wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave [H_w]

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

Formula

`"H"_{"w"} = ("E"/((8/(3*sqrt(3)))*"ρ"_{"s"}*"[g]"*"D"_{"w"}^(3/2)))^(2/3)`

Example

`"13.81953m"=("2.4E^8J/m"/((8/(3*sqrt(3)))*"1025kg/m³"*"[g]"*("45m")^(3/2)))^(2/3)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
H_w = (E/((8/(3*sqrt(3)))*ρ_s*[g]*D_w^(3/2)))^(2/3)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Height of The Wave - (Measured in Meter) - Height of The Wave is the difference between the elevations of a crest and a neighboring trough.
Total Wave Energy per Unit Crest Width - (Measured in Joule per Meter) - Total Wave Energy per unit crest width is the transport and capture of energy by ocean surface waves. The energy is then used for useful work.
Density of Salt Water - (Measured in Kilogram per Cubic Meter) - The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water.
Water Depth from Bed - (Measured in Meter) - Water depth from bed means the depth as measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

Total Wave Energy per Unit Crest Width: 240000000 Joule per Meter --> 240000000 Joule per Meter No Conversion Required
Density of Salt Water: 1025 Kilogram per Cubic Meter --> 1025 Kilogram per Cubic Meter No Conversion Required
Water Depth from Bed: 45 Meter --> 45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_w = (E/((8/(3*sqrt(3)))*ρ_s*[g]*D_w^(3/2)))^(2/3) --> (240000000/((8/(3*sqrt(3)))*1025*[g]*45^(3/2)))^(2/3)

Evaluating ... ...

H_w = 13.8195282108665

STEP 3: Convert Result to Output's Unit

13.8195282108665 Meter --> No Conversion Required

FINAL ANSWER

13.8195282108665 ≈ 13.81953 Meter <-- Height of The Wave

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Solitary Wave » Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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)

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

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)
H_w = (E/((8/(3*sqrt(3)))*ρ_s*[g]*D_w^(3/2)))^(2/3)

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

Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave calculator uses 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) to calculate the Height of The Wave, The Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Height of The Wave is denoted by H_w symbol.

How to calculate Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave using this online calculator? To use this online calculator for Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave, enter Total Wave Energy per Unit Crest Width (E), Density of Salt Water (ρ_s) & Water Depth from Bed (D_w) and hit the calculate button. Here is how the Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave calculation can be explained with given input values -> 13.81953 = (240000000/((8/(3*sqrt(3)))*1025*[g]*45^(3/2)))^(2/3).

FAQ

What is Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave?

The Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H_w = (E/((8/(3*sqrt(3)))*ρ_s*[g]*D_w^(3/2)))^(2/3) or 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 is the transport and capture of energy by ocean surface waves. The energy is then used for useful work, The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water & Water depth from bed means the depth as measured from the water level to the bottom of the considered water body.

How to calculate Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave?

The Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using 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). To calculate Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave, you need Total Wave Energy per Unit Crest Width (E), Density of Salt Water (ρ_s) & Water Depth from Bed (D_w). With our tool, you need to enter the respective value for Total Wave Energy per Unit Crest Width, Density of Salt Water & Water Depth from Bed 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 Height of The Wave?

In this formula, Height of The Wave uses Total Wave Energy per Unit Crest Width, Density of Salt Water & Water Depth from Bed. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of The Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3)
Height of The Wave = (Celerity of The Wave^2/[g])-Water Depth from Bed
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

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