Dimensionless Wave Number

Calculate common dimensionless and dimensional ocean wave numbers.

Ocean wave numbers include :

`kw = (2 pi) / L = 2 pi(fw) / c `
`fw = 1 / T `
`Ur = h l^2 / d^3 = (h/d)^3 / (l/d)^2 `
`H* = H / (g t^2) `
`d* = d / (g t^2) `

where :

kw = wave number (dimesion 1/length)
fw = wave frequency (dimension 1/time)
Ur = dimensionless Ursell number
H* = dimensionless wave height
d* = dimensionless water depth
L = wave length
f = wave frequency
c = wave celerity or propagation speed

Change Module :

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Dimensionless Number Calculation Module
Dimensionless Relative Roughness Number Calculation Module
Dimensionless Reynolds Number Calculation Module
Dimensionless Ursell Number Calculation Module
All

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More Dimensionless Number Modules

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Links : ±

CALCULATOR : Angular Or Circular Wave Number kw From Wave Length [FREE] ±

Calculate circular or angular wavenumber from wavelength.

The wavenumber can be used for ocean waves, sound waves and electromagentic waves. The wave number has dimensions 1 / length.

Tool Input

L : Wave Length

Tool Output

kw : Angular Or Circular Wave Number

CALCULATOR : Angular Or Circular Wave Number kw From Wave Frequency And Celerity [FREE] ±

Calculate circular or angular wavenumber from wave frequency and wave celerity or propoagtion velocity.

The wavenumber can be used for ocean waves, sound waves and electromagentic waves. The wave number has dimensions 1 / length. The frequency is the inverse of the wave period.

Tool Input

c : Wave Celerity Or Propagation Speed
fw : Wave Frequency

Tool Output

kw : Angular Or Circular Wave Number

CALCULATOR : Dimensionless Ocean Wave Numbers k f Ur HoD LoD H* d* (General Form) [FREE] ±

Calculate dimensionless ocean wave numbers kw, Ursell number Ur, wave frequency f, wave height over water depth ratio HoD, wave length over water depth ratio LoD, dimensionless wave height H*, and dimensionless water depth d*.

Tool Input

d : Water Depth
H : Wave Height
T : Wave Period
L : Wave Length

Tool Output

H* : Dimensionless Wave Height
H/L : Dimensionless Wave Height Over Wave Length Ratio
H/d : Dimensionless Wave Height Over Water Depth Ratio
L/d : Dimensionless Wave Length Over Water Depth Ratio
Ur : Dimensionless Ursell Number
d* : Dimensionless Water Depth
fw : Wave Frequency
kw : Wave Number

CALCULATOR : Dimensionless Ocean Wave Number kw Airy Stokes And Cnoidal Wave [FREE] ±

Calculate ocean wave numbers for Airy, Stokes and Cnoidal waves.

Ocean wave numbers include the wave number kw, Ursell number Ur, wave frequency f, wave height over water depth ratio HoD, wave length over water depth ratio LoD, dimensionless wave height H*, and dimensionless water depth d*.

Tool Input

wavetype : Wave Type
lttype : Wave Parameter Type
- Tu : User Defined Wave Period
- Lu : User Defined Wave Length
d : Water Depth
H : Wave Height

Tool Output

H* : Dimensionless Wave Height Number
L : Wave Length
T : Wave Period
Ur : Dimensionless Ursell Number
c : Wave Celerity
cvg : Convergence Check
d* : Dimensionless Water Depth Number
f : Wave Frequency
hod : Wave Height Over Water Depth Ratio
k : Wave Number
lod : Wave Length Over Water Depth Ratio
w : Wave Trough Height Above Seabed