Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory Calculator

✖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.ⓘ Height of The Wave [H_w]			+10% -10%

✖Water Wave Length is the horizontal distance between corresponding points on two successive waves.ⓘ Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory [L_w]

⎘ Copy

👎

Formula

✖

Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory

Formula

`"L"_{"w"} = "D"_{"w"}*(21.5*exp(-1.87*("H"_{"w"}/"D"_{"w"})))`

Example

`"540.7395m"="45m"*(21.5*exp(-1.87*("14m"/"45m")))`

Calculator

LaTeX

Reset

👍

Download Coastal and Ocean Engineering Formula PDF PDF Image

Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Wave Length = Water Depth from Bed*(21.5*exp(-1.87*(Height of The Wave/Water Depth from Bed)))
L_w = D_w*(21.5*exp(-1.87*(H_w/D_w)))
This formula uses 1 Functions, 3 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Water Wave Length - (Measured in Meter) - Water Wave Length is the horizontal distance between corresponding points on two successive waves.
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.
Height of The Wave - (Measured in Meter) - Height of The Wave is the difference between the elevations of a crest and a neighboring trough.

STEP 1: Convert Input(s) to Base Unit

Water Depth from Bed: 45 Meter --> 45 Meter No Conversion Required
Height of The Wave: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_w = D_w*(21.5*exp(-1.87*(H_w/D_w))) --> 45*(21.5*exp(-1.87*(14/45)))

Evaluating ... ...

L_w = 540.739499976878

STEP 3: Convert Result to Output's Unit

540.739499976878 Meter --> No Conversion Required

FINAL ANSWER

540.739499976878 ≈ 540.7395 Meter <-- Water Wave Length

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Solitary Wave » Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory

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!

< 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)

Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory Formula

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

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 Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory?

Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory calculator uses Water Wave Length = Water Depth from Bed*(21.5*exp(-1.87*(Height of The Wave/Water Depth from Bed))) to calculate the Water Wave Length, The Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space. Water Wave Length is denoted by L_w symbol.

How to calculate Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory using this online calculator? To use this online calculator for Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory, enter Water Depth from Bed (D_w) & Height of The Wave (H_w) and hit the calculate button. Here is how the Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory calculation can be explained with given input values -> 540.7395 = 45*(21.5*exp(-1.87*(14/45))).

FAQ

What is Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory?

The Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space and is represented as L_w = D_w*(21.5*exp(-1.87*(H_w/D_w))) or Water Wave Length = Water Depth from Bed*(21.5*exp(-1.87*(Height of The Wave/Water Depth from Bed))). Water depth from bed means the depth as measured from the water level to the bottom of the considered water body & Height of The Wave is the difference between the elevations of a crest and a neighboring trough.

How to calculate Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory?

The Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space is calculated using Water Wave Length = Water Depth from Bed*(21.5*exp(-1.87*(Height of The Wave/Water Depth from Bed))). To calculate Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory, you need Water Depth from Bed (D_w) & Height of The Wave (H_w). With our tool, you need to enter the respective value for Water Depth from Bed & Height of The Wave and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search