108
8 Experimental Validation of the Model Developed …
8.2 Methodology for Experimental Validation
Firstly, the kinetic coefficients required as inputs for running the mathematical model
were determined experimentally at laboratory. The technical process for the determination of kinetic coefficients from the semi-batch study is demonstrated below.
After finding out the kinetic coefficients from semi-batch study, the mathematical
model for hybrid bioreactor was validated with the data available from continuous
study for both synthetic carbonaceous and real municipal wastewater. Thereafter, the
experimental effluent COD concentrations have been plotted with respect to those
predicted from the model to examine the accuracy of the developed model.
8.2.1 Determination of Kinetic Coefficients for Synthetic
Carbonaceous Wastewater Treatment
8.2.1.1 Determination of K s and µ max (Ref. Sect. 4.2, Chapter 4)
Specific growth rate μ is calculated from the expression
μ =
X hybrid 2 − X hybrid 1
X hybrid 1
θ
as shown in Table 8.1.
In order to determine the half-saturation constant (K s ) and maximum specific
growth rate (μ max ) for synthetic carbonaceous wastewater treatment in the hybrid
bioreactor system, μ was plotted along Y-axis against S w plotted in X-axis as shown
in Fig. 8.1 of Annexure VI-a. A vertical intercept equals μ max /2, is drawn intersecting
the “μ” versus “S w ” curve at a point, wherefrom a perpendicular can be drawn to get
the value of “K s ” as shown in Fig. 8.1.
It is evident from Fig. 8.1 of Annexure VI-a, μ max = 0.35 h
−1 =8.4 day
−1 ,
K s =40 mg/l=0.040 mg/cc.
8.2.1.2 Determination of K and Y
In order to determine the k, substrate mass balance in hybrid bioreactor at steady-state
condition was considered. As a result, from the model equation of substrate mass
balance, different values of Xθ S w /{(S 0 − S w )(K s + S w )} were plotted against θ /(S 0
− S w ) corresponding to different hydraulic retention times, and different MLSS and
COD concentrations (Ref. Sect. 3.2, Chapter 3).
Now, the values of θ /(S 0 − S w ) and Xθ S w /{(S 0 − S w )(K s + S w )} are shown in
Fig.8.2.
Accordingly, a best-fit line was drawn for this scatter diagram as shown in Fig. 8.2
with a relationship y = −0.046x + 0.086. Considering p = 0.93, the value of k was
8 Experimental Validation of the Model Developed …
8.2 Methodology for Experimental Validation
Firstly, the kinetic coefficients required as inputs for running the mathematical model
were determined experimentally at laboratory. The technical process for the determination of kinetic coefficients from the semi-batch study is demonstrated below.
After finding out the kinetic coefficients from semi-batch study, the mathematical
model for hybrid bioreactor was validated with the data available from continuous
study for both synthetic carbonaceous and real municipal wastewater. Thereafter, the
experimental effluent COD concentrations have been plotted with respect to those
predicted from the model to examine the accuracy of the developed model.
8.2.1 Determination of Kinetic Coefficients for Synthetic
Carbonaceous Wastewater Treatment
8.2.1.1 Determination of K s and µ max (Ref. Sect. 4.2, Chapter 4)
Specific growth rate μ is calculated from the expression
μ =
X hybrid 2 − X hybrid 1
X hybrid 1
θ
as shown in Table 8.1.
In order to determine the half-saturation constant (K s ) and maximum specific
growth rate (μ max ) for synthetic carbonaceous wastewater treatment in the hybrid
bioreactor system, μ was plotted along Y-axis against S w plotted in X-axis as shown
in Fig. 8.1 of Annexure VI-a. A vertical intercept equals μ max /2, is drawn intersecting
the “μ” versus “S w ” curve at a point, wherefrom a perpendicular can be drawn to get
the value of “K s ” as shown in Fig. 8.1.
It is evident from Fig. 8.1 of Annexure VI-a, μ max = 0.35 h
−1 =8.4 day
−1 ,
K s =40 mg/l=0.040 mg/cc.
8.2.1.2 Determination of K and Y
In order to determine the k, substrate mass balance in hybrid bioreactor at steady-state
condition was considered. As a result, from the model equation of substrate mass
balance, different values of Xθ S w /{(S 0 − S w )(K s + S w )} were plotted against θ /(S 0
− S w ) corresponding to different hydraulic retention times, and different MLSS and
COD concentrations (Ref. Sect. 3.2, Chapter 3).
Now, the values of θ /(S 0 − S w ) and Xθ S w /{(S 0 − S w )(K s + S w )} are shown in
Fig.8.2.
Accordingly, a best-fit line was drawn for this scatter diagram as shown in Fig. 8.2
with a relationship y = −0.046x + 0.086. Considering p = 0.93, the value of k was