From which:
13,200 47,500
------- + ------- = 13,800
2.56x x
x = 3.805
and 2.56x = 9.740
The discharge is:
For the 16-in. pipe, 1.396 x 3.805 = 5.31 cu. ft. per sec.;
and, for the 10-in. pipe, 0.5454 x 9.74 = 5.31 cu. ft. per sec.
The question arose as to whether or not the particles of bran in the water traveled as fast as the water flowed. It was also desired to check by observation the relative velocities in the two pipes, as above deduced.
Test No. 2.—To determine these points, a second test was made, on March 31st, 1908, twenty days after the first one. In this test, green aniline, red potassium permanganate, and bran were used. An observer was placed at the end of the 10-in. line at B (Fig. 2), and, by letting a small quantity of water run from a relief-valve there, he was able to note the time of the appearance of the colors and the bran.
The green was started in the upper end of the 10-in. pipe, at A (Fig. 2), at 8.30 A.M. It appeared at B in 22 min., and at E in 3 hours and 52 min.
The red was started at 8.45 A.M. It reached B in 21-1/2 min., but it was so faded that the time of its appearance at E could not be noted exactly.
The bran was started at 9.00 A.M. It reached B in 22 min., and appeared at E in 3 hours and 51 min.