356 Canon Moseley on the steady Flow of a Liquid. 



But by equation (13), 



v = v €-v r and Y=v e-v n ; 



[9^C^ E -8 7 R-1) + 4R/X l ]- 



(28) 



. utjWtfk*** (29) 



L9^ (63YR " 37R " 1) + 4mi J 3 



The discharge per V in cubic metres from a horizontal pipe. 

 By equation (16), 



Q= 3^ 9[1 _ (1+ ^ )e _ yK] . 

 .-. Q= M8y)*«g*A*R>(tf»-yB-l) _ 



7 l9^ (63VR_3 ^ R - 1) + 4m '] : 



H — m& — + ^TJ 



If, as before, we suppose the work with which the water finally 

 leaves the pipe to have been already accumulated in it when it 

 arrived at the third water-gange in M. Darcy's experiments, and 

 if h be taken to represent the difference of the heights of the 

 first and third gauges, then, applying the above formula to M. 

 Darcy's experiments, we must assume U^O, which is equivalent 

 to neglecting the first term in the denominator of equation (30) . 

 In this case, therefore, 



Q = it */2 . w^KeyK-y K-l^h* > < ^ ^ 

 1 y^Jfi 



Substituting the numerical values of 7r, w, g and reducing, 



«,__ 65 W-^i' (S3, 



In the cases in which 7 may be assumed = 2 # 25, 



Q, = 2-7664i^- a ^ B - 1 ) R ***. - . . (34) 



Xl 3 /3 



