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T = Tension on umbilical UT = Tangential component of fluid speed in the cable frame of reference CT = Tangential drag coefficient of cable w = virtual cable unit weight CN = Normal drag coefficient of cable UN = Normal component of fluid speed in the cable frame of reference UB = 3rd component of fluid speed in the cable frame of reference (zero in 2-D) s = Cable scope from the free end For further treatment on the methods used in the simulation, please refer to the references on this website. Initial Conditions To save processing time, the steady-state (constant-velocity) solution for the cable geometry is calculated using the two differential equations below. The two equations are integrated along the cable scope s starting with initial conditions dT/ds = 0, and T & Phi given by the endpoint loads on the cable.Note that the rates of change of tension and cable angle are dependent on only one variable (cable angle).

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