816 
PROFESSOR 0. REYNOLDS ON CERTAIN DIMENSIONAL 
n 
a/ 
A i+ mX i/i(b+ mX Abkf; 
s ) \ P dx 
+v^{ Ml ^(;) + c X3 A 
/(fi+vAWh)ht. 
• m 
in which. 
A depends only on the shape of the tube and is ^ for a flat tube, 
/'(- ) is of the order - when - is zero and is finite when - is infinite, 
W s s s 
( c\ f c\ c c 
-j and fJ - j are unity when - is zero and zero when - is infinite, and 
\ ail( i aie zero w ^ en ~ i s zero and unity when - is infinite; all the func¬ 
tions varying continuously between the limits here ascribed. 
Also X, depends on the nature of the surface but not upon the nature of the gas, 
while \o and X 3 may depend both upon the gas and the surface. 
Putting 
L(t) = V 
and 
„ / c 
A H+™ ^ 1/1 7 +^/3 7 
1 r 
GipiAfAAbl Y{s) +X ^) + ^ 
we have for the general form of the equation of transpiration 
<m) 
"I 
J 
( 100 ) 
n =- c V?R)?t- 
¥A-)~ 
S ) T dx 
( 101 ) 
Section X. —Verification op the General Equation of Transpiration. 
103. In this section the general equation obtained in Section IX. is applied to the 
particular cases of transpiration which have been the subject of experiments. It w r ill 
thus appear how I was led to infer the results, and thence to make the experiments. 
A summary of the experimental results has already been given in Art. 9, but for 
the immediate purposes the results may be stated as follows :— 
Experimental results. 
I. The law of corresponding results at corresponding densities, shown by the fitting 
of the logarithmic homologues. (See Arts. 28 and 40.) 
II. The gradual manner in which the results varied as the density increased, 
