192 
PROFESSOR 0. REYNOLDS ON THE THEORY OF LUBRICATION 
In order to render the applicat on of equations (35) and (38) clear, a particular case 
may be assumed. 
Let 
[X— 10~ 5 
which is the value for olive oil at a temperature of 70° Fahr., the unit of length being 
the inch, and that of force the lb. 
Let 
U = 60 (inches per sec.) 
/q= ’0003. 
Then from (35), the load in lbs. per square inch of lubricated surface is given by 
W 
—=107 On 3 
and from 38, the frictional resistance in lbs. per square inch is 
-=1-31 
a 
This seems to be about the extreme case of perfect lubrication between plane metal 
surfaces having what appears to be about the minimum value of h x . 
Section VI.— The Integration of the Equations for the Case of 
Cylindrical Surfaces. 
25. General Adaptation of the Equations. 
Fig. 17 represents a section of two circular cylindrical surfaces at right angles to 
the axes ; as in Art. 17 
J is the axis of the journal AB; 
I is the axis of the brass CD ; 
JO is the line of action of the load cutting the brass symmetrically, and 
B=JP 
R+a=IQ 
h =PQ 
A 0 =HG, the smallest section. 
JI=ca r- • ■ • (39) 
PJO=0 
l 
GJO = f”“ < / ) o 
P 1 JO = 0 1 . P, being the point of maximum pressure. 
