OF TWO CONFINED STREAMS OF WATER. 809 
The following table indicates how this best value of m varies with 6 and with the ratio 
fae to ©, :— 
Value of Q, +Q,. 
6. 
1 2 4 6 8 10 12 
5° 1:31 1:50 1°85 2°25 2°65 3°05 3°45 
10° 1:50 1:80 2°35, 2°90 3°40 4:00 4:60 
15 1°65 1-95 2°65 3°45 4:05 4:75 5°35 
20° 1°80 2°20 3 00 3°80 4°50 5°30 6:10* 
30° 2°10 2-60 3°50 4-50 5°40 6:40* 7:°30* 
45° 2°55 3°15 4:25 5:50 6-70* 7°80* S907 
* Obtained by extrapolation. 
while the loss of energy, expressed as a fraction of oe with the best value of m is given 
in the following table :— 
Value of Q, + Q,. 
6. 
1 2 4 6 8 10 12 
5° 13 18 | 27 35 “42 “47 51 
10° 29 29 43 53 60 67 71 
15° 28 36 ‘53 64 ‘71 ‘78 83 
20° 33 “43 “60 val 79 "85 -91* 
30° “41 53 72 "82 9] Q7* 1:02* 
45° 53 68 “88 97 1:04* 1:10* 1°14* 
| 
* Obtained by extrapolation. 
A comparison of these results with those obtained by an application of the formula 
(v, sin 6)? + (v, cos 8 — 
loss = We foot-lbs. per 1b. 
29 
shows that over a range of values of m from 1 to 6, of 6 from 10° to 30°, and of v, from 
v, to 4v,, this formula gives results which may be anywhere between twenty times too 
small and ten times too large. In particular cases the two results may be approxi- 
mately the same, but for general application this formula is quite valueless. 
5. Loss at Impact oF Two SimiLtar STREAMS, BOTH OF WHICH UNDERGO 
THE SAME DEVIATION OF DIRECTION. 
The experiments were extended to cover the case of two equal streams impinging 
at an angle 0, forming a single stream of twice the area and the same mean velocity 
