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

✖Volume of Water per Unit Crest Width is the volume of water within the wave per unit of crest width.ⓘ Volume of Water per Unit Crest Width [V]			+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 Given Volume of Water within Wave above Still Water Level [H_w]

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Formula

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

Formula

`"H"_{"w"} = "V"^2/((16/3)*"D"_{"w"}^3)`

Example

`"14m"=("2608.448m²")^2/((16/3)*("45m")^3)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Height of The Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3)
H_w = V^2/((16/3)*D_w^3)
This formula uses 3 Variables

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.
Volume of Water per Unit Crest Width - (Measured in Square Meter) - Volume of Water per Unit Crest Width is the volume of water within the wave per unit of crest width.
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

Volume of Water per Unit Crest Width: 2608.448 Square Meter --> 2608.448 Square 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 = V^2/((16/3)*D_w^3) --> 2608.448^2/((16/3)*45^3)

Evaluating ... ...

H_w = 14.0000019932181

STEP 3: Convert Result to Output's Unit

14.0000019932181 Meter --> No Conversion Required

FINAL ANSWER

14.0000019932181 ≈ 14 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 Given Volume of Water within Wave above Still Water Level

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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 Given Volume of Water within Wave above Still Water Level Formula

Height of The Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3)
H_w = V^2/((16/3)*D_w^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 Given Volume of Water within Wave above Still Water Level?

Wave Height Given Volume of Water within Wave above Still Water Level calculator uses Height of The Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3) to calculate the Height of The Wave, The Wave Height Given Volume of Water within Wave above Still Water Level 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 Given Volume of Water within Wave above Still Water Level using this online calculator? To use this online calculator for Wave Height Given Volume of Water within Wave above Still Water Level, enter Volume of Water per Unit Crest Width (V) & Water Depth from Bed (D_w) and hit the calculate button. Here is how the Wave Height Given Volume of Water within Wave above Still Water Level calculation can be explained with given input values -> 14 = 2608.448^2/((16/3)*45^3).

FAQ

What is Wave Height Given Volume of Water within Wave above Still Water Level?

The Wave Height Given Volume of Water within Wave above Still Water Level 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 = V^2/((16/3)*D_w^3) or Height of The Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3). Volume of Water per Unit Crest Width is the volume of water within the wave per unit of crest width & 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 Given Volume of Water within Wave above Still Water Level?

The Wave Height Given Volume of Water within Wave above Still Water Level 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 = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3). To calculate Wave Height Given Volume of Water within Wave above Still Water Level, you need Volume of Water per Unit Crest Width (V) & Water Depth from Bed (D_w). With our tool, you need to enter the respective value for Volume of Water per Unit Crest Width & 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 Volume of Water per Unit Crest Width & Water Depth from Bed. We can use 3 other way(s) to calculate the same, which is/are as follows -

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