226 
PROFESSOR 0. REYNOLDS ON THE THEORY OF LUBRICATION 
equation (94) gives 
V 
c— — 2'059— ; 
and by equation (150) 
c=-03116(l+ 1002L7^>“ t -.(153) 
Equation (153) gives the values of 
C. 
n r 
To obtain the value of n from the experiments, these values of ~ are substituted in 
the equation for f, retaining the squares of c, which obtained fiom equations (89) and 
(85), is 
/ S '=/i'(H-5c»).( 154 > 
whence, substituting the values of -^obtained from (153) we have 
lb* 
Therefore, choosing any experimental values of f , and subtracting the coi responding 
value of f' in Table IV., n is given by— 
. ( i55 ) 
In this experiment irregularities become important, and it has been necessaiy to 
calculate several values of n in this way and take the mean, which is 
n— 1'25 
(156) 
It has been shown (Art. 35) that necking might account for a value of n as great as 
1-33, while if there were no necking?* would still have a value m consequence of 
variations of a along the journal. 
Substituting this value of n in equations (148 and 153), 
a— -00077(1+-002 L>' 0222T “ 
c= -0487(1 + -002 L')^e 0665r ’ 
(157) 
from which equation the values of a and c have been calculated for Table 1\ .for all 
values of 1/ less than 415 lbs. These are all Mr. Tower’s experiments with olive oil, 
except those of which Mr. Tower has expressed himself doubtful as to the results. 
