AND ITS APPLICATION TO MR. B. TOWER’S EXPERIMENTS. 
211 
Putting 
H—H 1 =gT*Q.(112) 
where q is a constant depending on the relative values of T — T 0 and T m , also on how 
far the metal of the journal assists the oil in carrying out heat. 
On substituting the values of H 1; H 3 , Q, it appears 
T = = 
-A- m - 
/U 
3JDSg7qU 
110 
B=12JC' 
+ B 
. . (112a) 
There does not appear to be any reason to assume any of the quantities in the 
denominator to be functions of the temperature except h x . By equation (42) 
K—a{l-\-c sin (<f^—<f> 0 )} 
Equation (112a) may thus have the form 
T =— 
-A- m - 
/ 
A (l + ET,„) + 
Where 
A=3JDSg , a 0 (l -j-c sin (4>i—<f> 0 )} 
• (H3) 
■ (H4) 
This shows that A is a function of the load, increasing as the first power and 
diminishing as the second power, but the experiment show the effects of these terms 
are small, and A is constant except for extreme loads. 
33. The Formula for Temperature and Friction, and the Interpretation of the Constants. 
From equation (8), Section II. 
-ccr-iy 
r—Po 
....... (115) 
C=0221 (for olive oil) j 
From equations (109) and (11 0) 
a=(a 0 +m/){l+E(T-T 0 )}.(116) 
or approximately since E(T 1 —T 0 ) is small 
a — (a Q -j -ml)eI T ~' Vl ' ) .(117) 
2 e 2 
