Geoscience Reference
In-Depth Information
QX QX
VX
+
su
X
wa
ee
r
=−
Y
−
K
(24.58)
d
The net specific growth rate can be determined using
1
θ
c
r
X
su
=−
Y
−
K
(24.59)
d
The term
r
su
can be computed from the following equation:
Q
V
SS
SS
−
θ
(
)
=
o
r
=
−
(24.60)
su
o
where
S
o
= Substrate concentration in influent (mg/L).
S
= Substrate concentration in effluent (mg/L).
S
o
-
S
= Mass concentration of substrate utilized (mg/L).
θ = Hydraulic retention time.
24.7.1.13 Effluent Microorganism and Substrate Concentrations
The mass concentration of microorganisms
X
in the aeration basin can be computed from the fol-
lowing equation:
(
)
(
)
θ
θ
YS
−
S
SS
KK
µ
−
c
o
mo
dc
X
=
)
=
(2 4.61)
(
(
)
1
+
K
θ
1
+
θ
dc
Aeration basin volume can be computed from the following equation:
(
)
θ
QY SS
XK
−
c
o
V
=
(24.62)
(
)
1
+
θ
dc
The substrate concentration in effluent
S
can be determined by the following equation:
(
)
KK
Yk
1
+
θ
s
d
c
S
=
(24.63)
(
)
−
θ
−
K
1
c
d
where
S
= Effluent substrate (soluble BOD) concentration (mg/L).
K
s
= Half-velocity constant, substrate concentration at one-half the maximum growth rate
(mg / L).
K
d
= Endogenous decay coefficient (per day).
θ
c
= Mean cell residence time based on solids in the tank (day).
Y
= Maximum yield coefficient over finite period of log growth (mg/mg).
k
= Maximum rate of substrate utilization per unit mass of microorganism per day.
Observed yield in the system can be determined by using the following equation:
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