C_Tl

-

thrust loading coefficient; C_Tl=T/(1/2ρV₀²zcl)

C_Tn

-

thrust loading coefficient based on waterjet nozzle area A_n

D

-

diameter of blade circle

D

-

hydrodynamic drag

e

-

non-dimensional eccentricity; e=a/R

ē_φ

-

unit normal vector along blade orbit

ī

-

unit normal vector in direction of heading

K_Fy

-

transverse force coefficient; K_Fy=F_y/(ρD⁴n²)

K_Q

-

torque coefficient; K_Q=Q/(ρD⁵n²)

K_T

-

thrust coefficient; K_T=T/(ρD⁴n²)

J

-

advance ratio; J (or Λ)=V₀/(nD)

L

-

hydrodynamic lift

l

-

span of blade

n

-

propulsor rotation rate

R

-

radius of blade circle

T

-

total thrust by propulsor

t

-

maximum thickness of profile

V_a

-

speed of advance

V_R

-

resultant velocity kinematic

V₀

-

free stream velocity

z

-

number of blades

α_F

-

kinematic angle of inflow relative to (horizontal) x-axis

β

-

geometric pitch angle

β₀

-

hydrodynamic pitch angle without effect of induced velocities

ΔU_a

-

local increase in axial velocity due to thrust production

η₀

-

open water efficiency

λ

-

velocity ratio; λ=V₀/(ωR)

ρ

-

mass density of water

φ

-

blade orbit angular position

ω

-

angular rotation rate [rad/s]