60 Canon Moseley on the steady Flow of a Liquid. 



The Discharge when the Maximum Velocity is not given. 



The preceding Table serves to verify equation (63), in which 

 the maximum velocity Vq is supposed to be given by experiment, 

 and the discharge Q determined from it. It affords no verifica- 

 tion of equation (64), in which Vq is not supposed to be given, 

 but the discharge Q determined from the form and dimensions 

 of the channel, the slope, and the nature of the surface. The dif- 

 ficulty of the latter verification lies in the indeterminateness of 



the nature of the surface as represented by XJ. 



Verification of Formula.~~lt may nevertheless be verified by 

 dividing by one another the discharges from the same channel 

 corresponding to two different depths c^ and Cg of the stream as 

 given by theory and by experiment ; XJ will be eliminated by this 

 division from the formula representing this division. Let the 

 discharges be represented by Q^^ and Q^^; then, by equation 

 (64), 



h + 2c, 



Qc, \h + '^cj \cj 



^^ 2bc. 

 e6+2c2 — - — ^ <-! 

 + "Zcc 



(68) 



■-2 



Applying this formula to experiments 3 and 13, Series 2, 

 5 = 1-812, Ci = -2773, C2=-1102; 



2^^i 2bc 



^^'■^ 2bc^ 



.'.by theory, 

 by experiment, 



^— ^-1 = -01898; 



U-M36^,.0,^ 



Q., -307 



Similarly, by comparing experiments 12 and 8, Series 2,^ 

 5 = 1-812, Ci = -2773, c,= -2095,' 

 we have by theory, 



%i =1.4702;' 



