830 
PROFESSOR 0. REYNOLDS ON CERTAIN DIMENSIONAL 
-_ \/l t H 1 
a — a 
' 11 s lh r> 
=t*K” a )> y 
,cV~u 
chf 
In a similar way we obtain from equation (121) 
d Vx 4s 3 cl r/1 , INI da 
: = --p i-J(r+r)r 
whence integrating 
and from (127) 
dx 
Px~Po 
7r" * dx r z j « dx 
Pi K I Jy r z \adx 
Px—Pn Ig 3 1 d?ct n 
- 7 O ' 
jPj 7t « oar 
d 2 « 
If be infinite Pi an d ta= 0. Therefore C. 2 =0 and 
clr 
Vx—p 0 .4 2 1 fpa 
^ 7 2 
jPj 7r a clx 
which result may be obtained directly from the value of p. : , Art. 82. 
From equation (128) 
Px—Po _8 S 2 ci —a! 
p l it r 3 ci 
8 CS 2 ci c — a 
7rr 3 a 
Putting ^ = K 2 a 2 and neglecting - ^ 
« da: 
d 3 « 
as compared with — 
p.r—Pi _ 2 o M d 2 / T 
Pj 7 t S ' t da; 2 \M 
8 ^ 
7r r 
V M a/ 
T 
M 
85 
7T 7 
5 a/S 
s a/ m“ a/ m 
a/S 
(128) 
(129) 
(130) 
(131) 
(132) 
(133) 
(134) 
* From an abstract of a paper read before tbe Royal Society by Professor Maxwell, in April, 1878 
(see ‘ Nature,’ May 9, 1878), I see that Professor Maxwell has obtained an expression for this inequality 
