Treatise on the mechanical theory of heat and its applications to the steam-engine, etc. by McCulloh R. S. (Richard Sears) 1818-1894 & Making of America Project

Author:McCulloh, R. S. (Richard Sears), 1818-1894 & Making of America Project
Language: eng
Format: epub
Tags: Thermodynamics, Steam-engines
Publisher: New York, D. Van Nostrand
Published: 1876-03-25T05:00:00+00:00

MECHANICAL THEORY OF HEAT.

be represented by the closed Now, through its points I and ture, r and T, and the extre to the greatest and least values

be drawn which would give hypothesis, r and r' are the passing through the points b

area abed of the annexed figure.

d of highest and lowest tempera me points a and r, corresponding 0 and 0' of the function 0, we may always draw isothermal and adia-batic lines, forming a cycle <u' Carnot tangential at a, 1), c, d to the given cycle.

It is evident, upon mere inspec tion, that the area abed representing the external work is less than that of the circumscribed cycle of Car not. But it may be imagined that through the extreme points a, I), c, d other lines of transformation may a greater area or efficiency. By extremes of temperature ; no line nd d can therefore give for

so great a value as the isothermal line for which the factor r is the maximum and constant. And no line passing through d can give for

q' = f-'dQ

so small a value as the isothermal line for which the tenperature r' is the minimum.

It is also evident that the definite integral of d<t> in these equations is a maximum when 0 and </>' are constant and the tangential lines through « and c are consequently adiabatic.

Performing the integrations indicated in the preceding discussion, and reducing, we obtain for the efficiency of the cycle of Carnot, thus proved to be a maximum,

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.