Wave Number for Steady Two-dimensional Waves Calculator

✖Deep Water Wavelength of Coast refers to the wavelength of ocean waves as they propagate through water depths that are considered deep relative to the wave height.ⓘ Deep Water Wavelength of Coast [λ^'']

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✖Wave Number for Water Wave represents the spatial frequency of a wave, indicating how many wavelengths occur in a given distance.ⓘ Wave Number for Steady Two-dimensional Waves [k]

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Formula

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Wave Number for Steady Two-dimensional Waves

Formula

`"k" = (2*pi)/"λ"^{"''"}`

Example

`"0.269665"=(2*pi)/"23.3m"`

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Wave Number for Steady Two-dimensional Waves Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Number for Water Wave = (2*pi)/Deep Water Wavelength of Coast
k = (2*pi)/λ^''
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Wave Number for Water Wave - Wave Number for Water Wave represents the spatial frequency of a wave, indicating how many wavelengths occur in a given distance.
Deep Water Wavelength of Coast - (Measured in Meter) - Deep Water Wavelength of Coast refers to the wavelength of ocean waves as they propagate through water depths that are considered deep relative to the wave height.

STEP 1: Convert Input(s) to Base Unit

Deep Water Wavelength of Coast: 23.3 Meter --> 23.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (2*pi)/λ^'' --> (2*pi)/23.3

Evaluating ... ...

k = 0.269664605458351

STEP 3: Convert Result to Output's Unit

0.269664605458351 --> No Conversion Required

FINAL ANSWER

0.269664605458351 ≈ 0.269665 <-- Wave Number for Water Wave

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surface Gravity Waves » Linear Dispersion Relation of Linear Wave » Wave Number for Steady Two-dimensional Waves

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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

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< 12 Linear Dispersion Relation of Linear Wave Calculators

Velocity of Propagation in Linear Dispersion Relation given Wavelength

Go Velocity of Propagation = sqrt(([g]*Coastal Mean Depth*tanh(2*pi*Coastal Mean Depth/Deep Water Wavelength of Coast))/(2*pi*Coastal Mean Depth/Deep Water Wavelength of Coast))

Guo Formula of Linear Dispersion Relation for Wave Number

Go Wave Number for Water Wave = ((Angular Frequency of Wave^2*Coastal Mean Depth)/[g])*(1-exp(-(Angular Frequency of Wave*sqrt(Coastal Mean Depth/[g])^(5/2))^(-2/5)))/Coastal Mean Depth

Guo Formula of Linear Dispersion Relation

Go Linear Dispersion Relation = (Wave Angular Frequency^2*Coastal Mean Depth/[g])*(1-exp(-(Wave Angular Frequency*sqrt(Coastal Mean Depth/[g])^(5/2))^(-2/5)))

Velocity of Propagation in Linear Dispersion Relation

Go Velocity of Propagation = sqrt(([g]*Coastal Mean Depth*tanh(Wave Number for Water Wave*Coastal Mean Depth))/(Wave Number for Water Wave*Coastal Mean Depth))

Wave Number of Convenient Empirical Explicit Approximation

Go Wave Number for Water Wave = (Angular Frequency of Wave^2/[g])*(coth((Angular Frequency of Wave*sqrt(Coastal Mean Depth/[g])^(3/2))^(2/3)))

Radian Frequency of Wave

Go Angular Frequency of Wave = sqrt([g]*Wave Number for Water Wave*tanh(Wave Number for Water Wave*Coastal Mean Depth))

Dimensionless Wave Speed

Go Wave Speed = Propagation Velocity/sqrt([g]*Coastal Mean Depth)

Wave Number for Steady Two-dimensional Waves

Go Wave Number for Water Wave = (2*pi)/Deep Water Wavelength of Coast

Wavelength given Wave Number

Go Deep Water Wavelength of Coast = (2*pi)/Wave Number for Water Wave

Relative Wavelength

Go Relative Wavelength = Deep-Water Wavelength/Coastal Mean Depth

Wave period given Radian Frequency of Waves

Go Wave Period = 2*pi/Wave Angular Frequency

Radian Frequency of Waves

Go Wave Angular Frequency = 2*pi/Wave Period

Wave Number for Steady Two-dimensional Waves Formula

Wave Number for Water Wave = (2*pi)/Deep Water Wavelength of Coast
k = (2*pi)/λ^''

What is Wavelength?

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire. In wireless systems, this length is usually specified in meters (m), centimeters (cm) or millimeters (mm).

How to Calculate Wave Number for Steady Two-dimensional Waves?

Wave Number for Steady Two-dimensional Waves calculator uses Wave Number for Water Wave = (2*pi)/Deep Water Wavelength of Coast to calculate the Wave Number for Water Wave, The Wave Number for Steady Two-dimensional Waves is defined as the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Wave Number for Water Wave is denoted by k symbol.

How to calculate Wave Number for Steady Two-dimensional Waves using this online calculator? To use this online calculator for Wave Number for Steady Two-dimensional Waves, enter Deep Water Wavelength of Coast (λ^'') and hit the calculate button. Here is how the Wave Number for Steady Two-dimensional Waves calculation can be explained with given input values -> 0.269665 = (2*pi)/23.3.

FAQ

What is Wave Number for Steady Two-dimensional Waves?

The Wave Number for Steady Two-dimensional Waves is defined as the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance and is represented as k = (2*pi)/λ^'' or Wave Number for Water Wave = (2*pi)/Deep Water Wavelength of Coast. Deep Water Wavelength of Coast refers to the wavelength of ocean waves as they propagate through water depths that are considered deep relative to the wave height.

How to calculate Wave Number for Steady Two-dimensional Waves?

The Wave Number for Steady Two-dimensional Waves is defined as the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance is calculated using Wave Number for Water Wave = (2*pi)/Deep Water Wavelength of Coast. To calculate Wave Number for Steady Two-dimensional Waves, you need Deep Water Wavelength of Coast (λ^''). With our tool, you need to enter the respective value for Deep Water Wavelength of Coast 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 Wave Number for Water Wave?

In this formula, Wave Number for Water Wave uses Deep Water Wavelength of Coast. We can use 2 other way(s) to calculate the same, which is/are as follows -

Wave Number for Water Wave = (Angular Frequency of Wave^2/[g])*(coth((Angular Frequency of Wave*sqrt(Coastal Mean Depth/[g])^(3/2))^(2/3)))
Wave Number for Water Wave = ((Angular Frequency of Wave^2*Coastal Mean Depth)/[g])*(1-exp(-(Angular Frequency of Wave*sqrt(Coastal Mean Depth/[g])^(5/2))^(-2/5)))/Coastal Mean Depth

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