Q
v = --- = 2.43;
a
[TEX: v = \frac{Q}{a} = 2.43;]
and
/ {½} \
n ( in v = n (r s)^ ) = 33.
\ /
[TEX: n\ (\text{in}\ v = n (r s)^\frac{1}{2}) = 33.]
The flume is of unplaned boards, rectangular, 2.67 wide × 2.83 deep, with
an inclination of 32 feet per mile. There are sharp curves, although these
were made as regular as practicable; the boiling action of the water
passing around these curves brought the flow line (Q = 32.8) nearly up to
the top of the sides; with a straight flume of the same size, the water
would have doubtless stood several inches lower.
Therefore:
a = 2.67 × 2.83 = 7.56 ;
a
r = -------------------- = 0.908 ;
2.83 + 2.67 + 2.83
[TEX: r = \frac{a}{2.83 + 2.67 + 2.83} = 0.908;]
32 1
s = ------ = ----- ;
5280 165
[TEX: s = \frac{32}{5280} = \frac{1}{165};]