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Pipeng Free Online Software : Angular Wave Number Calculators
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Pipeng : Angular Or Circular Wavenumber k Calculation Module

Angular Wave Number Calculators

Description : Angular wave number or circular wave number calculators.

Discussion : The wavenumber has dimensions per length or radians per length.

k = 2 π / L

where

L = wavelength
k = wavenumber

Alternatively it can be calculated by.

k = 2 π f / v

where

f = frequency
v = phase velocity
k = wavenumber

The phase velocity is the travelling speed of the wave, equal to the wavelength divided by the wave period. The wave number is applicable to ocean waves and electromagentic waves.

Calculator Tools In This Module:

CALC : Flow : Numbers 111 : Angular Or Circular Wavenumber #1 : User Defined Wave Length : Calculator
CALC : Flow : Numbers 112 : Angular Or Circular Wavenumber #2 : Calculated Ocean Wave Length : Calculator
CALC : Flow : Numbers 113 : Angular Or Circular Wavenumber #3 : User Defined Frequency And Velocity : Calculator


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Module List

CALC : Flow : Numbers 111 : Angular Or Circular Wavenumber #1 : User Defined Wave Length : Calculator

Description : Calculate the circular or angular wavenumber, user defined wavelength.

Discussion : The wave length is user defined.

Input Variables :

  • L = Ocean Wave Length

Output Variables :

  • k = Ocean Wave Number

Calculation :

k = 2 π / L

The calculation can also be used for electromagnetic waves. Substitute the electromagnetic wavelength for the ocean wavelength.

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CALC : Flow : Numbers 112 : Angular Or Circular Wavenumber #2 : Calculated Ocean Wave Length : Calculator

Description : Calculate the circular or angular wavenumber, calculated ocean wave length.

Discussion : The wavelength is calculated for ocean waves. Check that the convergence check value is close to or equal to one. The function working is not shown in the check calculations.

Options :

  • Wave type : Airy, Stokes or Cnoidal

Input Variables :

  • H = Ocean Wave Height
  • T = Ocean Wave Period
  • W = Wave Type
  • d = Water Depth

Output Variables :

  • L = Ocean Wave Length
  • cvg = Convergence Check
  • k = Ocean Wave Number

Calculation :

list( L , k , cvg ) = WaveNumber( H , d , T , W )

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CALC : Flow : Numbers 113 : Angular Or Circular Wavenumber #3 : User Defined Frequency And Velocity : Calculator

Description : Calculate the circular or angular wavenumber from wave frequency and wave phase velocity.

Discussion : The phase velocity is the travelling speed of the wave. The frequency is the inverse of thwe wave period. The frequency units can be set to wave period (s/rev seconds per revolution). Gotot he setup page to change the frequency units.

Input Variables :

  • c = Ocean Wave Celerity
  • f = Ocean Wave Frequency

Output Variables :

  • k = Ocean Wave Number

Calculation :

k = 2 π f / c

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