194 ENVIRONMENTAL ENGINEERING
case that X = 4OOOmgL The hydraulic retention is then obtained by rearranging
Eq. (9.30):
- t=
0.5(300 - 30)(200 + 30)
= 0.129day = 3.1 h.
2(30) (4000)
The volume of the tank is then
V = fQ = 4000(0.129) = 516m3.
The sludge age is
= 3.8 days.
(4OOOmg/L)(0.129 day)
(0.5kgSS/kgBOD)(300 - 30) mgL
0, =
Since
kg sludge was Wday
kg sludge in aeration tank '
- 1
0,
_-
from Eq. (9.28)
= 543 kglday.
XV
0, 3.8
(4000) (5 16) ( lo3 Urn3) (1 / lo6 kg/mg)
XrQw = - - -
EXAMPLE 9.7. Using the same data as in the preceding example, what mixed liquor
solids concentration would be necessary to attain 95% BOD removal, or S = 15 ma?
The substrate removal velocity is
(2 day-') 15 mg/L
= 0.28 day-'
' = (0.5)(200 + 15) mg/L
and
300 - 15
X= = 7890mg/L.
(0.129)(0.28)
The sludge age would be
= 7.1 days.
1
(0.28)(0.5)
0, =
Higher removal efficiency requires more microorganisms in the aeration tank.
A simple batch settling test can be used to estimate the return sludge pumping
rates. After 30 min of settling, the solids in the cylinder are at a 55% concentration that
would be equal to the expected return sludge solids, or
HX
x, = -
h
(9.33)