140 ENVIRONMENTAL ENGINEERING
The rotational velocity is
2nm
ut = -
60 ’
where r = radius in feet and n = rpm, so that
The velocity differential between paddles and fluid is assumed to be 65% of ut, so that
v = 0.65vt = (0.65)(1.7) = 0.7Oft/s.
Total power input from Eq. (7.1) is
(1.9)( 16)(0.5 ft)(48 ft)( 1.94 lb-s2/ft3)(0.70 ft/~)~
2
P= = 243 ft-lb/S,
and, from Eq. (7.2), the velocity gradient is
ft/s
) = 10.5 ft,
243
= /( (lOO)(5O)(l6)(2.7’3 x
which is a little low. The time of flocculation is
- V (1OO)(50) (16)(7.48)(24)(60)
t=-= = 28.7 min,
Q (30)105
so that the Gf value is 1.8 x 104. This is within the accepted range.
SElTLlNG
When the flocs have been formed they must be separated from the water. This is
invariably done in gravity settling tanks that allow the heavier-than-water particles to
settle to the bottom. Settling tanks are designed to approximate uniform flow and to
minimize turbulence. Hence, the two critical elements of a settling tank are the entrance
and exit configurations. Figure 7-5 shows one type of entrance and exit configuration
used for distributing the flow entering and leaving the water treatment settling tank.
Alum sludge is not very biodegradable and will not decompose at the bottom of
the tank. After some time, usually several weeks, the accumulation of alum sludge
at the bottom of the tank is such that it must be removed. ’Qpically, the sludge exits
through a mud valve at the bottom and is wasted either into a sewer or to a sludge
holding and drying pond. In contrast to water treatment sludges, sludges collected in
wastewater treatment plants can remain in the bottom of the settling tanks only a matter
of hours before starting to produce odoriferous gases and floating some of the solids.
Settling tanks used in wastewater treatment are discussed in Chap. 9. The water leaving
a settling tank is essentially clear. Polishing is performed with a rapid sand filter.