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Ocean Wave Dimensionless Number
Calculate ocean wave dimensionless Keulegen Carpenter number, Ursell number and other wave numbers for Airy, Stokes and cnoidal waves. The Keulegan Carpenter number approximates the ratio of drag force to inertia force on a circular structure. `Kc = (V T) / (OOD) = V^2 / (A.OOD) `
`A = V / T ` where : Kc = Keulegan Carpenter number
V = velocity amplitude
T = oscillation period
OOD = structure outer diameter or characteristic length
A = approximate acceleration amplitude For small Keulegen-Carpenter numbers inertia forces dominate. At large Keulegen-Carpenter numbers drag forces dominate. The maximum horizontal wave velocity is calculated at zero degrees phase angle. Use the wave velocity reduction factor for structures which are not perpendicular to the wave velocity. The drag force over inertia force ratio varies with heading. The Ursell number is a measure of the non linearity of ocean waves. `Ur = (h l^2) / d^3 = (h/d)^3 / (l/d)^2 ` where : Ur = Ursell number
h = wave height
l = wave length
d = water depth The Airy wave is suitable for Ur < 1. Stokes wave should be used for Ur < 40. Cnoidal wave should be used for Ur > 40. Other ocean wave numbers include: `kw = (2 pi) / l = (2 pi fw) / c `
`fw = 1 / T `
`H^* = H / (g t^2) `
`d^* = d / (g t^2) ` where : kw = wave number (dimesion 1/length)
fw = wave frequency (dimension 1/time)
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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CALCULATOR : Ocean Wave Velocity Airy Stokes And Cnoidal Wave [FREE] ±
Calculate ocean wave length from wave period, or wave period from wave length for Airy, Stokes, and cnoidal waves. Either wave length can be calculated from wave period, or wave period can be calculated from wave length. Wave velocity and acceleration can be calculated at either the wave surface (varies with phase angle), the wave trough height, the seabed, or at a user defined height above the seabed. Use the Result Plot option to plot the wave profiles, wave velocity or wave acceleration versus phase angle. Tool Input- wavetype : Wave Type
- lttype : Wave Parameter Type
- Tu : User Defined Wave Period
- Lu : User Defined Wave Length
- phasetype : Phase Angle Type
- Θu : User Defined Phase Angle
- xu : User Defined Displacement
- tu : User Defined Time
- ztype : Height Above Seabed Type
- zhu : User Defined Height
- d : Water Depth
- H : Wave Height
Tool Output- Θ : Wave Phase Angle
- η : Wave Surface Relative To Mean Sea Level
- Ah : Wave Horizontal Acceleration
- Am : Wave Acceleration Magnitude
- Av : Wave Vertical Acceleration
- L : Wave Length
- T : Wave Period
- Vh : Wave Horizontal Velocity
- Vm : Wave Velocity Magnitude
- Vv : Wave Vertical Velocity
- c : Wave Celerity
- cvg : Convergence Check
- zh : Height Above Seabed
- zs : Wave Surface Height Above Seabed
- zw : Wave Trough Height Above Seabed
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CALCULATOR : Ocean Wave Keulegan Carpenter Number Airy Stokes And Cnoidal Wave [FREE] ±
Calculate ocean wave Keulegen Carpenter number from wave horizontal velocity and wave period for Airy, Stokes and cnoidal waves. The Keulegan Carpenter number approximates the ratio of drag force to inertia force on a circular structure. For small Keulegen-Carpenter numbers inertia forces dominate. At large Keulegen-Carpenter numbers drag forces dominate. The maximum horizontal wave velocity is calculated at zero degrees phase angle. Use the wave velocity reduction factor for structures which are not perpendicular to the wave velocity. The drag force over inertia force ratio varies with heading. Tool Input- wavetype : Wave Type
- lttype : Wave Parameter Type
- Tu : User Defined Wave Period
- Lu : User Defined Wave Length
- ztype : Height Above Seabed Type
- zhu : User Defined Height
- d : Water Depth
- H : Wave Height
- OOD : Pipeline Outer Diameter
Tool Output- Kc : Keulegan Carpenter Number
- L : Wave Length
- T : Wave Period
- c : Wave Celerity
- cvg : Convergence Check
- w : Wave Trough Height Above Seabed
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CALCULATOR : Ocean Wave Spreading And Velocity Reduction Factor [FREE] ±
Calculate wave spreading and velocity reduction factor from heading and spreading factor. A relative heading of zero degrees is parallel to the structure, or ninety degrees is perpendicular to the structure. Small spreading factor factors are suitable for locally generated short crested "choppy" waves with multiple superimposed wave directions. Large spreading factors are suitable for long range uni directional waves with long crests. Tool Input- sfactype : Shape Factor Type
- su : User Defined Spreading Factor
- rdtype : Velocity Reduction Factor Type
- Φ : Relative Wave Heading
Tool Output- Rdw : Wave Velocity Reduction Factor
- kw : Wave Shape kw Factor
- sf : Wave Shape Factor
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CALCULATOR : Ocean Wave Keulegan Carpenter Number User Defined Velocity [FREE] ±
Calculate ocean wave Keulegen Carpenter number from wave horizontal velocity and wave period. The Keulegan Carpenter number approximates the ratio of drag force to inertia force on a circular structure. For small Keulegen-Carpenter numbers inertia forces dominate. At large Keulegen-Carpenter numbers drag forces dominate. The maximum horizontal wave velocity occurs at zero degrees phase angle. Tool Input- T : Wave Period
- V : Wave Velocity Amplitude
- OOD : Pipe Outer Diameter (Including Coatings)
Tool Output- Kc : Dimensionless Keulegan Carpenter Number
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CALCULATOR : Ocean Wave Ursell Number [FREE] ±
Calculate ocean wave dimensionless Ursell number, dimensionless wave height and dimensionless water depth for Airy, Stokes or cnoidal waves. 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
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