120
8 Experimental Validation of the Model Developed …
Step 3:
From the biomass balance for the suspended growth at steady state.
Y a J avg
pX
b s
b t
−
1
θc
+
Y kS w
K +S w
− b d = 0
i.e.,
a J avg(calculated2) =
X
1
θ c
+bd−
Y kS w
K +S w
(Y b s / pb t )
(8.6)
Step 4: If “aJ avg (calculated)1 ” = “aJ avg (calculated)2 ”, then V = Q
*
θ
If “aJ avg (calculated)1 ” = “aJ avg (calculated)2 ”, then aJavg (calculated)2 can be considered as the next assumed value and revised value of ‘P’ can be obtained from Eq. (8.1).
Then, ‘P c ’ can be calculated again from Eq. (8.5) and aJ avg (calculated)2 can be calculated from Eq. (8.6). The iteration process from Step 1 to Step 4 will be continued
till the requisite condition gets satisfied in Step 4.
Finally, it can be established that “aJ avg (calculated)1 ” = “aJ avg (calculated)2 ”, and then,
the volume of the reactor V = Q
*
θ revised .
8.5.2 Determination of Surface Area of Aeration Basin (V)
The surface area to be provided = (1 − p)V
∗ a
(8.7)
p =
V − V d
V
(8.8)
V bioreactor empty-bed liquid volume (m
3 ),
V d liquid volume displaced by the media (m
3 ), i.e., media volume.
Hence, V d can be calculated for any value of p. At the same time, surface area
required can be determined from Eq. 8.7.
8.5.3 Oxygen Requirements
Oxygen is required in the aerobic hybrid bioreactor for the endogenous respiration
of the biomass in the system.
The oxygen requirement O 2 is given by,
O 2 =
Q(S 0 − S W )
f
− 1.42Q w X r