224 
PROFESSOR 0. REYNOLDS ON THE THEORY OF LUBRICATION 
For a Jirst Approximation as long as c is small . 
Equations (94), (89), (91), and (95) are used to determine c, <£ c , for the experi¬ 
ments in Table I. (Tower), these being made with brass No. 1. 
Putting as in equation (124) 
J = 2R 2 
equation (94) gives 
//=-!• 37 K ,n, 
and by equation (150) 
fi 
— '004658 
NV0W3T m 
1 + 002 L' 
(152) 
From equation (152) the values of f' to a first approximation have been calculated, 
using the values of T m given in Table III. These are given as in Table IV. 
L' 
N 
f 
(/,') 
/■/ 
fi 
c 
a 
0i 
Table IV.—Olive Oil, Brass No. 1. 
Length of the journal. 6 inches. 
Chord of the arc of contact of the brass. 3’92 inches. 
Radius of the journal. .... . .... 2 inches. 
Temperature of the oil bath. 90° Eahr. 
„ surrounding objects. 60° Fahr. (assumed'. 
Difference in radii of brass and journal at 60°. 0‘0006 inch (deduced). 
Effect of necking or variations in radius to increase friction .... D25. 
the nominal load in lbs. per square inch, being the total load divided by 24. 
the number of revolutions per minute. 
the nominal friction in lbs, per square inch from Table I. in Mr. Tower’s first Report (see Art. 34). 
the nominal friction calculated by complete approximation for c = 5 (see Art. 40, equation (159;). 
the nominal friction calculated to a second approximation, equation (154). 
the nominal friction calculated to a first approximation, equation (152). 
the ratio of the distance between the centres of the brass and journal to the difference in the radii, equation (153). 
the difference in the radii of the brass and journal (see equation (157) ). 
the angular distance from the middle of the arc of contact of the point of maximum pressure, equation (91). 
the angular distance from the middle of the arc of contact of the point of nearest approach (see equation (89)). 
the rise in temperature of the film of oil owing to the friction, equation (120). 
N. 
100 
150 
200 
250 
300 
350 
400 
450 
T w Eahr. 
3-45 
5-83 
8-13 
10-02 
11-77 
13-26 
14’46 
15-37 
L' = 415 < 
(/,') 
fi 
°a 
<h 
’00154 
•498 
•300 
•67 
•00162 
•580 
(•57) 
•360 
•578 
•0017 
-7° 0' 0" 
•622 
(•65) 
•414 
•520 
•00178 
-7° 0' 0" 
•705 
•460 
•487 
•00182 
•787 
•504 
•457 
•00187 
•870 
•544 
•436 
•00191 
•995 
//•108 
•589 
•413 
•00194 
, TT 
l * 1_ 2 
— 42° 0' 0" 
- 42° 0' 0" 
•• 
•• 
•• 
L'= 363 < 
r/' 
(//) 
fi 
C 
a 
<Pi 
•233 
•472 
(•498) 
•314 
•520 
•00151 
- 7° 0' 0" 
•580 
•378 
•462 
•00161 
•616 
•434 
•408 
■00168 
•689 
•482 
•380 
•00171 
•725 
•526 
•357 
•O0177 
•798 
•573 
•340 
•00181 
•907 
fP 920 
•616 
•312 
•001S3 
. TT 
L 0fl ~2 
- 42° O' 0" 
1 
•< 
•• 
