By Osborne Reynolds
Comprises papers of which the writer contributed the 1st half basically: I. [pt. 1] at the conception of the steam-engine indicator and the blunders in indicator diagrams; [pt. 2] Experiments at the steam-engine indicator, via A. W. Brightmore: v. 2, p. [163]-202. II. [pt. 1] at the mechanical similar of warmth; [pt. 2] On an experimental choice of the mechanical an identical of the suggest particular warmth of water among 32 [degrees] and 212 [degrees] F., made within the Whitworth engineering laboratory, Owens collage, on Professor Osborne Reynolds' technique, via W. H. Moorby: v. 2, p. [601]-733. 6 pl.
Vol. three issued additionally individually for the Royal society of London.
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The property differs from the property of strength or that of resisting stress various degrees by matter in respect to the limits to the limits depend on the physical condition of the matter and which strength, have no existence in the medium. This difference as regards limits, however, does not affect the correspondence, in character, between the property of possessed in conduction of momentum by the medium and the property of sustaining stress in matter. The magnitude of stress being nothing more nor less than a measure of the intensity of the flux of the component of momentum, in the direction of the stress across the surface on which the stress acts, if the intensity of defined to be the intensity of the flux of momentum conducted, as distinct from that conveyed by the motion of the mass across the surface, the notation used for the expression of the stresses stress at a point in on a surface matter becomes applicable is for the expression of the components of ON THE SUB-MECHANICS OF THE UNIVERSE.
14. between the different modes Moving Surface. i In the equations (5) to (11) the surfaces of the element of space (BS or dxdydz) are steady, and in equations (3) and (4) the closed surface over which the summation is taken is also steady the 8 being covered by the 2. If, however, the motion of every point of the surface be taken into account possible to sum the results of equations (7), (8), (9) over the space enclosed by a surface in any manner of continuous motion. it is Putting u, v, w for the component velocities of the surface at the point then the component motions of the entity represented by Q relative to the surface at this point are respectively x, y, z, u and although u, v v, w w, w are only defined at the surface, since the motion of this continuous, u, v, may be taken as continuous function of x, y, z Then the rate of convection across the throughout the enclosed space.
22 momentum [24 conducted, as distinct from that conveyed, in a purely-mechanical- Thus medium. PXX> Pyx> PZX> Pxyt Pyy> Pzy> PXZ> Pyz> PZZ) the expressions, used by Rankine for the component intensities of the stress, in which the exchange of momentum is in the direction indicated by the is across the surface perpendicular to the direction indicated first the suffix, may be defined to express the intensities of the rates of by conduction of the components of momentum in which the momentum is in the direction indicated by the second suffix and is conducted in the direction second suffix and indicated by the Whence, at first suffix.
