EM 1110-2-1100 (Part II)
30 Apr 02
II-7-9. Definitions of Symbols
α
Angle a surface-piercing sloped plane forms with the horizontal [deg]
β
Angle between the breakwater and the radial distance from the breakwater tip to the
point where the diffraction coefficient (K!) is to be determined (Figure II-7-2) [deg]
∆d
Vessel drawdown [length]
Elongation in the mooring line [length]
∆ln
εn
Percent elongation in a mooring line
θ
Angle between the sailing line and the direction of wave propagation [deg]
θc
Angle of the current relative to the longitudinal axis of the vessel [deg]
θn
Angle a mooring line makes in the horizontal plane with the perpendicular to the
vessel [deg]
Kinematic viscosity of water [length2/time]
ν
Mass density of air [force-time2/length4]
ρa
Mass density of water (salt water = 1,025 kg/m3 or 2.0 slugs/ft3; fresh water =
ρw
1,000kg/m3 or 1.94 slugs/ft3) [force-time2/length4]
φ
Angle a mooring line makes in the vertical plane between the vessel and the dock
[deg]
φ
Phase angle by which a mass displacement lags the excitation displacement [deg]
A
Amplification factor (ratio of mass displacement to excitation displacement)
[dimensionless]
Projected area of a vessel above the waterline [length2]
A
Surface area of a bay or basin [length2]
Ab
Channel cross-sectional flow area of an inlet [length2]
Ac
Vessel's midsection wetted cross-sectional area [length2]
Am
Ap
Ar
Dimensionless ratio of the waterline length times the beam to the total projected
propeller area
b
Channel width [length]
B
Breakwater gap (Figure II-7-6} [length]
B
Structure crest width [length]
B
Vessel beam [length]
B!
Imaginary breakwater gap [length] (Figure II-7-6)
Harbor Hydrodynamics
II-7-87
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