OF TWO CONFINED STREAMS OF WATER. 811 
(e) The formula 
_ (v, sin 6)? + (v, cos 6 
athe feet 
2g 
loss 
gives results which, except in one or two particular cases, are totally 
unreliable. 
(f) Where the volumes Q, and Q, to be discharged by the two streams are 
known, and where the ratio m of their areas may be modified as required, 
the value of m for minimum loss is given by the relationship 
9 
m= Le ta ey 
(g) Where both streams are similar and each sufiers the same deviation 0, the 
area of the combined streams being equal to the combined areas of the 
impinging streams, the loss is substantially the same as in an elbow of 
uniform section and with the same angle of deviation. 
The foregoing experimental work has been carried out in the Engineering Depart- 
ment of University College, Dundee, and the author would express his indebtedness 
to Messrs J. A. Hoop and J. Mecuie for much valuable assistance in carrying out 
the experiments. 
TRANS. ROY. SOC. EDIN., VOL. XLVIIL, PART IV. (NO. 28). [17 
