Free Surface Effects in Hull Propeller Interactton 
Bos Polar coordinates of propeller source point 
» Scale ratio 
v Kinematic viscosity of water 
v Summation index , Equation (B50) 
bn’ Relative field point coordinates , Equation (B36) 
pil; Gd Relative source point coordinates , Equation (B36) 
p Density of water 
o Source strength = Source output / 47 
o (x, z) Density of hull source distribution 
a(R, @) Density of propeller source distribution 
a(R) Circumferentially averaged value of o(R, 6) 
T Draft/half-length ratio , Equation (B36) 
ge Velocity potential of perturbation flow 
9x 7Fy, 58 Partial derivatives of ¢ 
eH Longitudinal flow induced by hull 
eP Axial flow induced by propeller 
e(N) N = 1, 2, 3, 4; Components of ¢,, Equation (B34) 
w Angular velocity of propeller = 27n 
Avi Displacement volume of hull 
REFERENCES 
_Note : - The following is a fairly complete list of recent publi- 
cations , not necessarily cited in our text , directly dealing with the 
subject of hull propeller interaction . References to older literature 
can be found in Dickmann's (1939) monograph . We hope that this list 
will serve as a useful handy reference to future workers in this field . 
AMTSBERG , H.: Investigations with axisymmetric bodies into the 
interaction between hull and propeller (in German), Jahrbucn 
STG 54, 117 - 152 (1960) 
AMTSBERG , H., and ARLT ,W.: Thrust deduction studies of bodies 
with bluff ends (in German) . Schiff and Hafen 17 , 786-790 
(1965). 
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