Гидродинамика

CONTENTS 485 § 33. Cavity in the shape of an ellipsoid of revolution . . Solution of ihe Problem When"^ Friction of the Li ­ quid is Taken Into Acco­ un t § 34. Differential equations of the problem and the for ­ mula f o r hydrodynamlcal pressure . . . . . . . . § 35. Helmholtz's problem of os ­ cillations about a fixed axis of a sphere filled with a viscous liquid § 36. Helmholtz's problem of oscillations about a fixed axis of a sphere filled with a viscous liquid § 37. Solution of the problem of § 27 when friction Is taken into account § 38. Theorem of the ultimate motion of a cavity of ar ­ bitrary shape after the lapse of a very long- period of time Summary Solution of a Problem in Hydrostatics Summary A Modification of Kirch- iioff's Malhod of Deter­ mining a Two dimensional Motion of a Fluid, Given a Constant Velocity Along an Unknown Stream-Line. § 1. A brief review of litera ­ ture on the subject . . . § 2. A statement of Kircbhoff's method § 3. A statement of the author's method 203 § 4. Efflux of a fluid f r om ves ­ sels bounded by t w o infi­ nite symmetrical flat walls. 211 § 5. Impact of an Infinite stream against a symmetrical wed ­ g e of which the axis Is In the direction of f l ow . , . 218 § 6. Efflux from vessels boun ­ ded by two Infinite unsym- metrlcal flat walls. . . . 223 § 7. Impact of an infinite stream against a scalene wedge unsymmetrically placed with respect to the flow . 234 § 8. Impact of a jet against an equilateral wedge placed symmetrically with respect t o the jet 241 § 9. Impact of two jets stri ­ king- against each other . 246 § 10. Impact of a flow of infi ­ nite width against a plate placed at t h e free surface . 253 § 11, Efflux of a fluid through the bottom of a vessel of infinite w i d t h and of finite height and closed on top. 259 § 12. On the impact of an infi ­ nite stream against an angle plate, the fluid im- ping-lng- on the plate along the edge 263 § 13. Efflux from a vessel of finite width and of infinite length 273 § 14. Impact of a stream boun ­ ded by two parallel walls against an equilateral wed­ g e placed symmetrically with respect to the flow . 281 ^ 15. Impact of an infinite stream against a rectangular ves- 134 147 147 153 159 166 174 182 187 194 195 195 198