27-30 WATER AND WASTEWATER ENGINEERING
Tank Volume. The volume of the digester tank may be estimated with the following equation
(WEF, 1998):
QX F
XkP SRT
i
dv
()
()
PS
1/
V
(27-14)
where
volume
V
of aerobic digester, m
3
Q average flowrate to digester, m
3
/ d
X
i
influent suspended solids, mg/L
F
PS
fraction of influent BOD that is raw primary solids
S digester influent BOD, mg/L
X digester suspended solids, mg/L
k
d
reaction rate constant, d
1
P
v
volatile fraction of digester suspended solids
SRT solids retention time, d
The term F
PS
can be ignored if primary sludge is not included in the sludge load to the digester.
Representative values for k
d
range linearly from 0.02 d
1
at 10 C to 0.14 d
1
at 25 C for waste
activated sludge (U.S. EPA, 1979). Bench-scale or pilot-scale studies are recommended to obtain
site-specific decay coefficients.
Feed Solids Concentration. Thickening prior to aerobic digestion provides the following
advantages: longer SRTs, smaller digester volume, easier process control, higher ox
ygen input per
unit volume, and increased levels of volatile solids destruction. However, feed solids concentrations
greater than 3.5 to 4 percent will impede mixing and adequate dissolved oxygen levels (Metcalf &
Eddy, 2003). Solids concentrations greater than 4 percent are not recommended
.
Oxygen Requirements. The oxygen concentration in the digester should be maintained at
1 mg/L. The m ass of oxygen required for complete oxidation of cell tissue and nitrification
is about 2.3 kg/kg of cells. Oxidation of the BOD in primary sludge varies from 1.6 to 1.9 kg of
oxygen/kg of BOD oxidized (Metcalf & Eddy, 2003).
Energy for Mixing.
Coarse bubble diffusers are recommended. Plugging is a problem with
either coarse or fine bubble diffusers. This is especially the case when periodic settling is used
so supernatant can be removed. Air flow rates between 0.02 and 0.04 m
3
of air/min · m
3
of liquid
volume ensure adequate mixing. The amount of air required to maintain the DO level usually
exceeds this flow rate. Diffused aeration has advantages over mechanical mixing in cold climates
because the compressed air adds heat to the s ystem, and overall heat loss is less
because of a
smaller degree of surface disturbance.
Mechanical aerators are sized at 20 to 40 kW/10
3
m
3
of liquid volume. Submerged turbines
and jet aerators have also been used for mixing and aeration.
Mixing is difficult for concentrations greater than 3.5 percent. If polymers are used in the
thickening process, a greater amount of unit energy may be required for mixing.
Supernatant. The supernatant is returned
to the head end of the plant. The aerobic digestion
process produces a low-strength supernatant ( Table 27-11 ). The true loading from the supernatant
is not the total BOD
5
b ut the filtered BOD
5
because the solids are in the endogenous stage of
respiration. In addition, the flow rate is generally less than 1 percent of the influent plant flow.