| CALC : Ocean : Wave 421 : Morison's Equation Wave Current Load Forces - Horizontal Velocity And Acceleration : Airy Stokes And Cnoidal Wave : Calculator
Description : Calculate the wave and current loading forces on a pipeline according to Morrisons's equation
Discussion : The wave and curent velocities and acceleration are calculated at the top of the pipe.
Options :
- Wave type : Airy, Stokes, Cnoidal or User defined amplitude
- Current type : One Seventh Power Law, Logarithmic Or User
Input Variables :
- Θ = Wave Phase Angle
- ρ = Fluid Density
- A = Horizontal Acceleration Amplitude
- C = Current Type
- Cd = Fluid Drag Coefficient
- Cl = Fluid Lift Coefficient
- Cm = Fluid Inertia Coefficient
- H = Ocean Wave Height
- OD = Pipe Outer Diameter Including Layers
- T = Ocean Wave Period
- U = Horizontal Velocity Amplitude
- Um = Reference Velocity
- W = Wave Type
- WL = Total Weight Per Unit Length
- d = Water Depth
- r = Seabed Roughness
- zc = Height Above Seabed
- zm = Reference Elevation
Output Variables :
- Aw = Horizontal Acceleration Phase
- Ft = Total Force Per Unit Length
- Fx = Horizontal Force Per Unit Length
- Fz = Vertical Force Per Unit Length
- Uc = Current Velocity
- Ut = Total Velocity
- Uw = Horizontal Velocity Phase
- cvg = Convergence Check
Calculation :
list( Uw , Aw , cvg ) = WaveU( H , d , T , Θ , zc , W , U , A )
If C = 1 : Power Law
Uc = Um ( zc / zm ) 1 / 7
Otherwise If C = 2 : Log Law
Uc = Um log( zc / r ) / log( zm / r )
Otherwise If C = 3 : User
Uc = Um
End of If Block
Ut = Uc + Uw
Fx = OD / 4 ρ ( 2 Cd Ut | Ut | + π OD Cm Aw )
Fz = 1 / 2 ρ OD Cl Ut 2 - WL
Ft = √( Fx 2 + Fz 2 )
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