Brard 
Density of a normal doublet distribution over the free vortex 
sheet pay 
Vortex filament on yas 
Velocity potentials generated by the normal doublet distri- 
bution on >a f respectively 
—w 
Velocity i duced inside D. by the vortex family (D. ; ae 
TT ®) 
nm (3 Rea in Sections V, VI and VII. 
> => 
Velocity potential defined inside D. such that Ve - V' “VP. 
(Sections VI and VII) 
4. DYNAMICS 
Mass density of the fluid 
Exterior force per unit mass : F =vll 
ag, Ya 
Additional exterior force inside D, if —) 7 08, B= = 
Hydrodynamic pressure 
Hydrodynamic force exerted by the flow on an element pes 
of a bound vortex sheet or on an element of arc of a vortex 
filament which does not move with the fluid 
System_of hydrodynamic forces exerted on the vortex sheet 
(es 
€ 
System of hydrodynamic forces exerted on the hull 
System of inertial forces inside D. 
System of complementary forces pF db. inside D. 
System of forces - pe) wad (M) on du. 
M, 
System of forces -pT (M) ie (M) roe (M) 
System of forces due to the added masses when there exists 
no vortex sheet 
1276 
