Vortex Theory for Bodies Moving tn Water 
ar Intensity of a flat vortex tube on pan the width of the tube 
being do. 
— 
aT, dT oa? 
3. GEOMETRY AND KINEMATICS 
‘ys 
Hull surface 
D. “ dD: Interior, exterior of ye respectively 
D, Domain occupied by the real fluide : DLC D. 
—- 
V Absolute velocity of a fluid point 
— 
Ve Relative velocity of a fluid point : velocity with respect to 
axes moving with 
ae Velocity of a point fixed with respect to the moving axes 
Q, Angular velocity of the moving axes 
2, Surface supporting a free vortex sheet 
= 
5 Incident velocity on ya) 
qd, op Velocity potentials : V =VOif curl V=0, ie 2MP. 
o = curl Vv 
ae = curl Ms 
B (with or without accents) : line on di along which u is at- 
tached to), 
—_ 
wa Velocity induced by the bound vortices 
a 
Vi Velocity induced by the free vortices 
> 
cs Vector ~I on Ly 
ar, a on‘2a, 
m Density of a normal doublet distribution over the hull suniice, 
L275 
