# Hydrodynamics

University Press, 1916 - 708 pages

### Contents

 TIDAL WAVES 1 Equation of energy 8 40 41 CHAPTER IV 60 PROBLEMS 62 81 82 Twodimensional form of Bordas mouthpiece 88 87 89
 241 384 18 19 399 247 401 249 407 Integration of the equations when a velocitypotential exists pressure 416 252 253 419 257 432 260 261 441

 76 77 95 92 97 130 98 86 109 100 101 129 Streamlines of a circular disk Translation and rotation of a plane 137 112 143 114 115 149 124 158 131 171 136 178 319 186 142 189 191 193 146 196 148 149 203 153 209 154 155 215 157 223 Circular vortices Potential and streamfunction of an isolated vortex 231 166 238 125 264 Oscil 274 355 277 free and forced waves Effect 294 205 206 307 281284 327 222 223 337 556 342 228 352 17 357 231 232 361 235 367
 126 445 268 455 272 462 275 468 291 495 294 502 301 517 303 523 309 310 543 312 313 551 318 557 321 564 322 565 328 572 330 576 335 583 337 586 339 593 341 601 stability 608 348 349 615 354 628 pendulum 633 360 639 362 363 647 367 368 659 CHAPTER XII 669 376 677 384 694 LIST OF AUTHORS CITED 702 On Tidegenerating forces 703 2629 706

### Popular passages

Page 621 - The second condition of wave motion is to be observed when the velocity of the wind acting on the smooth water has increased to two miles an hour. Small waves then begin to rise uniformly over the whole surface of the water; these are waves of the second order, and cover the water with considerable regularity. Capillary waves disappear from the ridges of these waves, but are to be found sheltered in the hollows between them, and on the anterior slopes of these waves. The regularity of the distribution...
Page 620 - A gentle zephyr flitting along the surface from point to point, may be observed to destroy the perfection of the mirror for a moment, and on departing, the surface remains polished as before ; if the air have a velocity of about a mile an hour, the surface of the water becomes less capable of distinct reflexion, and on observing it in such a condition, it is to be noticed that the diminution of this reflecting power is owing to the presence of those minute corrugations of the superficial film which...
Page 665 - On the Resistance of Plane Surfaces in a Uniform Current of Air,
Page 620 - ... in. per sec.) does not sensibly disturb the smoothness of the reflecting surface. A gentle zephyr flitting along the surface from point to point, may be observed to destroy the perfection of the mirror for a moment, and on departing, the surface remains polished as before ; if the air have a velocity of about a mile an hour, the surface of the water becomes less capable of distinct...
Page 445 - A steel globe of the same dimensions, without mutual gravitation of its parts, could scarcely oscillate so rapidly, since the velocity of plane waves of distortion in steel is only about 10,140 feet per second, at which rate a space equal to the earth's diameter would not be travelled in less than 1 h.
Page 621 - ... remarkable ; they begin with about an inch of amplitude, and a couple of inches long ; they enlarge as the velocity or duration of the wave increases ; by and by conterminal waves unite ; the ridges increase, and if the wind increase the waves become cusped, and are regular waves of the second order. They continue enlarging their dimensions; and the depth to which they produce the agitation increasing simultaneously with their magnitude, the surface becomes extensively covered with waves of nearly...
Page 375 - ... and therefore that the phase in question travels over the surface with a constant acceleration. The meaning of this somewhat remarkable result will appear presently (Art. 240). The series in (14) is virtually identical with one (usually designated by M*} which occurs in the theory of Fresnel's diffraction-integrals.
Page 1 - The fundamental property of a fluid is that it cannot be in equilibrium in a state of stress such that the mutual action between two adjacent parts is oblique to the common surface.
Page 192 - TO, , m2, ... are in the present problem equal to the fluxes xo , x0', • • • across the sections of the respective tubes, so that (10) corresponds to the form T0 of the * Maxwell, Electricity and Magnetism, Art. 573. •f The theorem of this paragraph was given by Kirchhoff, ie ante p. 52. See also Sir W. Thomson, "On the Forces experienced by Solids immersed in a Moving Liquid,
Page 369 - It has often been noticed that when an isolated group of waves, of sensibly the same length, is advancing over relatively deep water, the velocity of the group as a whole is less than that of the individual waves composing it. If attention be fixed on a particular wave, it is seen to advance through the group, gradually dying out as it approaches the front...