604 



INDEX. 



Surface disturbance of a stream, 393, 



395, 401, 404, 450, 451, 455 

 Surfaces of discontinuity, 100 



instability of, 389, 391 

 Surface-tension, 442 

 Surface-waves, 370 

 Symmetry, hydrokinetic, 181 



Tangential stress, 1, 509 



Tension, surface-, 442 



Terminal velocity of sphere in viscous 

 fluid, 533 



Tidal waves, 266 

 friction, 499 



Tide-generating forces, 364 



Tides, canal theory of, 286, 287, 289, 290 

 change of phase by friction, 501 

 equilibrium theory of, 365 

 of second order, 300 

 on open sheets of water, 301, 303, 



304, 312, 314, 320 

 on rotating sheet of water, 331, 341 

 on rotating globe, 343, 348, 355, 356 

 retardation of spring-, 502 



Torsional oscillations of a sphere, effect 

 of viscosity on, 563, 567 



Trochoidal waves, 411, 414 



Tube, flow of viscous liquid through 

 a, 520 



Turbulent flow of a liquid, 573 



Velocity-potential, 18, 40, 56 



due to a vortex, 233 

 Vena contracta, 27, 106 

 Vibrations of a cylindrical jet, 457, 459 

 of a spherical globule, 461 

 of gas in spherical envelope, 483, 



487, 488 

 Viscosity, 508 



coefficients of, 512, 513 

 effect of, on sound-waves, 570 



on vibrations of a liquid 



globe, 564 



on water-waves, 544, 545 

 Viscous fluid, problems of steady mo- 

 tion, 519 



problems of oscillatory motion, 538, 

 559 



Viscous fluid, motion of, when inertia 



can be neglected, 526, 528 

 Vortex, elliptic, 251 



spherical, 264 

 Vortex-filament, 223 

 Vortex-line, 222 

 Vortex-pair, 246 

 Vortex-ring, 257 

 Vortex-sheet, 234 

 Vortices, in curved stratum of fluid, 253 



persistence of in frictionless fluid, 

 224 



rectilinear, 243 



circular, 254 



Wave-resistance, 383 



Waves, effect of oil on, 552 



Waves due to gravity and cohesion, 



combined, 445 

 Waves due to inequalities in the bed 



of a stream, 407 

 Waves, capillary, 443 

 Waves in uniform canal, general theory 



of, 429 



(triangular section), 426, 429, 432 

 Waves, effect of viscosity on, 544, 545 

 Waves, 'long,' 271, 277, 282 



in canal of variable section, 291, 294 

 of finite amplitude, 297 

 of expansion, 464 



Waves of permanent type, 409, 418, 421 

 Waves on open sheets of water, 301, 



304, 311, 312 



on a spherical sheet, 314, 319 

 on the common surface of two fluids, 



385, 446 



on the common surface of two cur- 

 rents, 388, 391, 448 

 Waves, Gerstner's, 412, 416 

 Waves produced by surface-disturbance 

 of a stream, 393, 395, 401, 404, 

 450, 451, 455 

 Waves, Ship-, 403 

 Wave, 'solitary,' 418 

 Wind, effect of, on stability of a water- 

 surface, 389, 449 

 operation of, in generating waves, 551 



CAMBRIDGE: PRINTED BY j. & c. F. CLAY, AT THE UNIVERSITY PRESS. 



