Гидродинамика

483 CONTEJfTS Editorial Preface 9 § 6. E f f e c t of mo t i o n o f t h e A Case of Motion of cavity on the m o t i o n o f a Liquid Lamina dne to c o n t a i n e d w i t h m . v n e r K a q Velocity potential of t h e ^ liquid in the c a s e w h e n t h e ummary 4 . r o t a t i n g . R e l a t i v e of Two Balls of velocity of the l i q u i d a n d Which One is Floating in a its maximum . . . . . . 35 Liquid 15 § 7. Hydrodynamical p r e s s u r e Summary 20 of the liquid w i t h i n t h e Of the Motion of a Rigid cavity 41 Body Having- Cavities Motion of a Rigid Body Haying «.r О Cavities Filled with a Liquid. . 43 ruiedwith a Homogeneous Limiirl 01 § Statement of t h e p r o b l e m . T ' Possibility of r e s o l v i n g t h e C h a p t e r I. A u x i l i a r y T h e o - m o t i o n o f t h e s y s t e m u n - o i i r i consideration i n t o t h e § 1. Velocity circulation. Sto- a b o u t . t h e c e n t r e kes s Iheorem г j x, cj « ^ , _ of gravity and t h e m o t i o n § 2. Prmcipal contour and prin- of translation 43 cipal circulation. Helm- hote's theorem 27 § Formulae f o r t h e p r o j e c t l - § 3. Thomson's theorem . . . 31 p r i n c i p a l m o - § 4. Representation b y surface m o m e n t u m of t h e Integrals of the sum of ele- ^^e l i q u i d c o n - mentary works of momenta talned within 44 of particles of a liquid con- § 10. Differential e q u a t i o n s of talned in slnglyconnected motion of a b o d y h a v i n g and in multiplyconnected cavities filled w i t h l i q u i d cavities . . . . . . . . 32 masses, In the c a s e of m u l - Motion of a Liquid Filling tlply-connected c a v i t i e s . 48. a Cavity Within a Moving Neumann's method 52 Rigid Body 34 § Derivation b y N e u m a n n ' s § 5. Velocity potential of par- method of the d i f f e r e n t i a l t i d e s of a liquid moving equations of t h e p r e c e d i n g within a stationary cavity. 34 paragraph . . . . . . . 52