Proceedings of the Royal Society of London: Mathematical and physical sciences, Volume 94

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Harrison and Son, 1918
 

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Page 247 - ... the cross-sectional area of the corresponding filament. The counterpart of the rate of flow in this analogy — -the product of the cross-sectional area and the vorticity — is what is known in hydrodynamics as circulation. The circulation...
Page 297 - ... which this ray makes with the primary ray. We will suppose that % = 0 in the direction backwards along the primary ray, and that x = '!r al°ng the primary ray continued.
Page xiii - ... moreover, the unpleasant habit of being very apt to develop into cracks ; but with cordite, so far as my experience goes, the erosion is of a very different character. The eddy holes and long grooves are absent, and the erosion appears to consist in a simple washing away of the surface of the steel barrel. Cordite does not detonate ; at least, although I have made far more experiments on detonation with this explosive than with any other, I have never succeeded in detonating it.
Page 423 - D. (Note 2.) In this method the usual retarded potentials due to an element of charge moving in any assigned manner are developed in series, of which the first terms are the potentials of the element due to uniform motion with the velocity at the instant considered, whilst the succeeding terms are derived from them by definitely assigned operations, and involve the accelerations of various orders. The electric, magnetic, and mechanical forces on a second element of charge are derived by the usual...
Page 257 - ... a minute. This destructive storm was evidently a secondary, and was formed in conditions similar to those of the one above referred to. The weekly weather reports of the Meteorological Office do not give sufficient detailed information as to the rainfall accompanying this storm ; but as Mr Billett, in his memoir of the storm, quoted in the paper referred to, states that on the day of the storm " a severe thunderstorm swept the West of England and Wales from south of Devon to Cheshire and developed...
Page 137 - Roughly K may be taken as equal to \wd, where w represents the mean vertical component of velocity due to the turbulence, and d represents roughly the mean vertical distance through which any portion of the atmosphere is raised or lowered while it forms part of an eddy till the time when it breaks off from it, and mixes with the surroundings. This may he taken to be roughly equal to the diameter of a circular eddy.
Page 458 - ... laboratory experiment. (2) Similar results can be obtained with other gases. Hydrogen gives much less scattering than air, oxygen about the same, carbon dioxide decidedly more. (3) The scattered light in air and in all the other gases is blue — the blue of the sky, illustrating very directly the theory that attributes the blue of the sky to scattering by the molecules of air.* (4) The scattered light is almost completely polarised. [Note added April 19, 1918. — In examining the literature,...
Page 108 - Rydberg value 3'289 x 1015 sec."1 that there can be little doubt as to the identity of the two numbers.
Page 299 - The haze immediately surrounding a small source of light seen through a foggy medium is of relatively great intensity. And the cause is simply that the contributions from the various parts of a small obstacle agree in phase. But in general when R is great, so also is m, and | P \ varies rapidly and periodically with k along the spectrum. We might then be concerned mainly with the mean value of | P1 \. Now | P1 1 = (K - 1?
Page 327 - The universal demonstration given by him of the principle, a demonstration which in his day appeared completely satisfactory, is based purely on this assumption. And, what is still more noteworthy, it is hardly to be supposed that the principle in question could have been deduced from the more correct view — namely, that heat is motion, seeing that we are not yet in a position to establish that view on a completely scientific basis.

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