Brard 
—} 
! 
The vortex family (D. , 2.) + (2 ,—) 
i 
The new vortex distribution (5.1) will be chosen so that the 
velocity 
= maneaiet 20 (a 
V"(M) =*eurl ff B00 500 + curl =f — =r aD, (M') 
D 
2 : (5. 4) 
be identically null inside D, Inside Dj; We is the velocity of a 
fictitious fluid motion due td a certain free Thc dl Son per unit mass 
(determined in Section VI). One has : 
eur! Vi" Somng inside D.. (5.5) 
E at 
MUR eS) igh eee D. (5. 6) 
is obviously equivalent to the condition 
yy (Ma) = 0 on Ee (5. 6") 
The fictitious fluid motion defined by V' is one of the fluid 
motions which could exist inside the vessel bounded by by’ ; if the 
body were at rest. 
(5. 6') means that 
1 T'(M') es | pM’) 
curl ee ED aaE )= - curl a M. eri he dD.(M )on PDN 
1210 
