The Steam Engine Considered As a Thermodynamic Machine: a Treatise On the ...

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The Steam Engine Considered As a Thermodynamic Machine: a Treatise On the ...
James H James Henry Cotterill
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- t Q ) cos e.
t-t^OP Fig. 85.
Such a cycle is called an Harmonic Cycle, and in all periodic changes is of fundamental importance. The diagram graphically represents such a cycle, in the same way as Zeuner's Valve Diagram shows the position of a slide valve for any position of the crank ; the motion of a slide valve indeed is properly described as an " harmonic motion." The second circle below represents temperatures below the mean, occurring when $ is greater than 90° and less than 180°.
As a
...necessary consequence of the surface cycle, as will be seen presently, particles at any distance y from the surface go through a similar cycle, but the changes are smaller and occur later the greater y. In the figure the cycle at o, a point such that Oo = y, is represented by two circles constructed on a line aoa inclined at an angle /?, the diameters (d) of these circles representing the half-range of temperature at o on the same scale that A ( = D) represents the half-range at 0.
The value of fi is proportional to y, and we shall write P - my where m is a quantity to be found presently, and the diameters J, D are connected by the equation Art.


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