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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2436
KINETIC MODEL ON THE PERFORMANCE OF AN ANAEROBIC BAFFLED
REACTOR FOR THE TREATMENT OF TEXTILE WASTEWATER
A. Bhuvaneswari
Assistant Professors, Department of Civil Engineering, Annamalai University, India.
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract - A laboratory-scale anaerobic baffledreactor(ABR)wasoperatedatmesophilictemperature(36°c)fortreatingthereal
time textile dye waste stream at five hydraulic times (HRT)s of 1.748, 1.165, 0.874, 0.699 and 0.582 days. Thereactorwasallowed
to operate at an OLR of 2.745 Kg COD/m3.day with a HRT of 1.748 days attained CODremovalefficiencywas91.67%. Theobjective
of the study was to formulate an improved mathematical model to describe textile wastewater treatment. In this study, the
mathematical model such as, first order kinetic (FOK), cubic polynomial (CP), Quadratic polynomial (QP) models were applied to
determine the substrate removal kinetic of anaerobic baffled reactor. Kinetic parameters were determined through linear
regression using the experimental data. The predicted COD concentrations were calculated using the kinetic constants. It was
found that these simulated data were in good agreement with the observed onesinFirstorderkinetic, cubicpolynomial,Quadratic
polynomial models. Furthermore, the correlation coefficient value (R2) obtained for the experimental and predicted effluent COD
concentration also confirmed the suitability of the kinetic model. The CP model fitted with the experimental values with highest
accuracy (R2 ranging between 0.9543 and 0.9999) followed by FOK and QP model. This showed that theCubicpolynomial modelis
a more applicable model for describing the kinetics of the organic removal in anaerobic baffled reactor for treating real time
textile dye wastewater.
Key Words: Anaerobic Baffled Reactor (ABR), Chemical Oxygen Demand, Degree of regression, Hydraulic retention time,
kinetic parameters, Textile wastewater.
1. INTRODUCTION
With the increasing deterioration of world water resources, configuring a technical and economic viable wastewater
treatment and recycle technology to satisfy the increasing complexity of wastewater and stringent environmental regulation
has been a great challenge over the past decades. Developing reliable technologies for wastewater treatment is of urgent
importance. In recent years anaerobic baffled reactor (ABR) treating wastewater effectively have received considerable
attention in the literature. It was indicated that ABR had become a promising alternative for wastewater treatment with great
further development potential. Among these reactors, the ABR was suggested by many researchers as a promising system for
treatment of industrial and municipal wastewaters (Kuscu and Sponza, 2005; Dama et al., 2002).Thedevelopment ofABRwas
undertaken which needed neither the sludge blanket nor the granular biomass by virtue of its configuration(Langenhoff etal.,
2000; Bodkhe, 2009). The most significant advantage of the ABR is its ability for partial separation of the acidogenesis and
methanogenesis phases longitudinally down the reactor without operational issues and costs related to the phased reactors
(Vossoughi et al., 2003; Wang et al., 2004). Process modelling is a useful tool for describing and predicting the performance of
anaerobic digestion systems (Jimenez et al., 2004). It seems that a combination of theoretical considerationsand experimental
findings can be used together in order to generate models with a more realistic fit (Noykova and Gyllenberg, 2000). Most
models are not operationally useful, because of their complexity and the uncertainties in selection and measurement of input
and output parameters crucial to effective simulation and prediction. Hence, modelling efforts often are based upon selected
fundamental principles and then generalized in order to enhance applied facility for process and design control (Siles et al.,
2008). There are different models for predicting the effluent substrate concentration in anaerobic treatment systems. In the
models of Grau, Contois, Chen &Hashimoto, Kincannon-StoverandFirst-orderkinetics,theeffluentsubstrateconcentration,Se,
is a function of the influent substrate concentration, Si. This is in contrast with the Monod model where Se is independent of Si.
Meanwhile these models also most frequently assume completely mixed and steady-state conditions (Malina and Pohland,
1992). In order to better understand the ABR operation and to describe reactor performance, attempts have been made to
model an ABR reactor (Xing et al., 1991).
Modelling is a valuable tool in both design and operation of biological treatment plants. In addition, modelling of
wastewater treatment plants can also be used for process optimizationandtestingofcontrol strategiestomeeteffluent quality
requirements at a reasonable cost. Hence, modelling helps to develop a better understanding of the treatment processes and
provides a significant potential for solving operational problems, as well as reducing operational costinbiological wastewater
treatment process. Moreover, model results can be evaluated for different operating data beforetransferringtheconceptsto a
full-scale plant (Yetilmezsoy K (2007). Development of kinetic models is a useful attemptin bothdesigningandoptimizationof
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2437
a particular treatment process by reducing laborious and complex experimental data to simple and convenient mathematical
expressions (Yetilmezsoy K (2007). Kinetic modelling-based studies give a good insight into reaction mechanisms andhelpto
describe several specific parameters for monitoring the system performance. Debik and Coskun (2009) have reported that
results of kinetic studies can also be used for predicting treatment efficiencies of full-scale reactors running under the same
operational conditions. For this purpose, the precise determination of kinetic coefficients and selection of appropriate
mathematical relationship between process variables are obligatory to increase the applicability of such a model (Bhunia P,
Ghangrekar MM, 2008). Therefore, the most appropriate kinetic model representing the extension of the experimental data
should be selected to recognize possible technical faults and to reduce operating costs of plants in the planning stage
(Yetilmezsoy K, Sapci-Zengin Z , 2009). In the present study, the several kinetic models available in literature three different
models such as the first order kinetics, cubic polynomial and quadratic polynomial models were applied to determine the
substrate removal kinetics of ABR using textile wastewater and verified the validity of the models by comparing the
experimental and predicted data at decreasing HRTs.
1.1 MATERIALS AND METHODS
1.1.1 Reactor Configuration
In the present study an experimental model ofAnaerobic baffledReactorwasfabricatedtoconductexperimentforreal
time waste streams of textile industry to evaluate the treatment efficiency under varying experimental conditions. The
experimental laboratory model was made up of Plexiglass. The size of the anaerobic baffled reactor was: length 50cm, width
24cm, depth 30cm and working volume of the reactor was 36 litres. A proper constructionofthebafflesallowedwastewaterto
flow through the sludge bed from bottom up. The model have five compartments and the distance of the upper edge of baffles
between the ascending and descending compartments from the water level was 3cm above the reactor's base at a 45° angle to
direct the flow evenly through the up-corners. The liquid flow is alternativelyupwards anddownwardsbetweencompartment
partitions. This produced effective mixing and contact between the wastewater and biosolids at the base of each up corners.
Sampling ports were used for drawing biological sludge and liquid samples. A variable speed Peristaltic Pump (PP -30) was
used to control flow rate. The schematic of the experimental setupisshownin Figure1.1.Thetreatmentprocessfor acclimation
was achieved by operating the plant with screened seed sludge drawn from the treatment facilities of Annamalai University.
The textile effluent was collected from M R S Dyeing private limited, Avinashi road, Tirupur, Tamil Nadu. The samples were
analyzed and characterized as per the Standard ProceduresgiveninAPHA,StandardMethodsfortheExaminationofWaterand
Wastewater, 21st Edition 2005. The textile wastewater was allowed to the reactor in gradual addition of20%,40%, 60%,80%
and 100%. After allowing 100% textile wastewater to the reactor, the COD removal efficiency was monitored.
Feed
Tank
Hanging
Baffle
3cm
2cm 8cm Standing
Baffle10cm
50 cm
Peristaltic
Pump
Effluent
Tank
Sampling
Port - I
Sampling
Port - II
Desludge
Gas
Collector
Gas
6cm
45
o
24cm
Fig. 1.1 Schematic of Anaerobic Baffled Reactor
1.2 Kinetic Modelling
Mathematical modelling and simulation studies find an important tool in the design of any process for its implementation and
control. In the present research an aerobic baffled reactor on continuous mode of operation was used. Scaling up this reactor
set up to industrial requirement is quite challenging in terms of design andcontrol.Itcanbeaccomplishedonlybydevelopinga
model for the COD (s) removal in terms of the independent variable ‘time’. In thisperceptivethefollowingmodelsweretried to
fit the experimental data.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2438
First Order Kinetics
kt
dt
ds

ie s=s0 e-kt
Cubic Polynomial
s= At3+Bt2+Ct+D
Quadratic Polynomial
s=at2+bt+c
Where
s = COD (mg/l)
s0 = Initial COD (mg/1)
t = Time (h)
k = constant of the FOK model (h-1)
A, B, C, D = cubic polynomial constants
a, b, c = quadratic polynomial constants
dt
ds
= substrate removal rate (mg/l. d)
2. EVALUATION OF PARAMETERS
The fitting of models and evaluation of the parameters k (FOK), A,B,C,D (CP) a, b, c (QP) was carried out using the CFTOOL kit
available in MATLAB 10 software.
2.1 Error analysis
Validation of any model to experimental data canbeaccomplished byestimatingtheerrorbetweenmodel simulatedvaluesand
experimental values with the latter as basis. In most of the cases errors are representedinpercentages.Inthepresentwork the
absolute error percentage is computed using the following equation and the overall error is calculated by calculating the
average of errors for all the data points.
Error percentage = 100 *
3. RESULTS AND DISCUSSION
Mathematical modelling of any process involves understanding the mechanism of the process and to develop a model
accordingly or vice versa (Bailey and Ollis, 2010).Themodel validationisalwaysaccomplished bycomparingthereal timedata
and model simulated finding by using error analysis. In the present investigation, the COD reduction was found at satisfactory
level with the following models reasonably.
 First Order Kinetics (FOK)
 Quadratic Polynomial (QP)
 Cubic Polynomial (CP)
The model parameters k value for FOK model, a, b and c for QP and A, B, C and D for CP model for the 25 experimental
runs are evaluated using cf tool kit in MATLAB 10 Software. The estimated parameters, validation of models (R2 values and
error analysis) are presented in the table 1 to 5. Also, the comparisonbetweentheexperimental andpredictedmodel,valuesof
the COD reduction for the 25 runs also been discussed. The modellinginvestigationwascarriedoutforthe3modelsmentioned
above using MATLAB software and MX EXCEL. The cftool kit in MATLAB software generated the models parameters of the
equations along with the R2 value. From the R2 values it was found that of FOK, CP and QP models fit the experimental COD
removal with reasonable accuracy. The estimated parameters for the 25 runs are presented in Table 1 to 5 along with the R2
values.
Table.1 shows the comparison of the R2 value among the first order kinetics, cubic polynomial and quadratic
polynomial. In the first order kinetics constant (k (h-1)) ranges between 0.0239 and 0.0749 and the R2 value ranges between
0.9429 and 0.9734. The cubic polynomial indicate the constants and A, B, C and D andtheR2 valuewiththemaximumof0.9969
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2439
and minimum of 0.9803. The quadratic polynomial has three constants, namely a, b and c and the R2 having a range between
0.9591 and 0.9885. Table.2 shows the comparison of the R2 value among the first order kinetics, cubic polynomial and
quadratic polynomial. In the first order kinetics constant (k (h-1)) ranges between 0.02451 and 0.0584 and theR2 valueranges
between 0.9436 and 0.9804. The cubic polynomial indicate the constants and A, B, C and D and the R2 value withthe maximum
of 0.9995 and minimum of 0.9728. The quadratic polynomial has three constants, namely a, b and c and the R2 having a range
between 0.9684 and 0.9932. Table.3 shows the comparison of the R2 value amongthefirstorderkinetics,cubicpolynomial and
quadratic polynomial. In the first order kinetics constant (k (h-1))rangesbetween0.02482and0.06161andtheR2 valueranges
between 0.9395 and 0.9681. The cubic polynomial indicate the constants and A, B, C and D and the R2 value withthe maximum
of 0.998 and minimum of 0.9834. The quadratic polynomial has three constants, namely a, b and c and the R2 having a range
between 0.9776 and 0.9933.
Table.4 shows the comparison of the R2 value among the first order kinetics, cubic polynomial and quadratic
polynomial. In the first order kinetics constant (k (h-1)) ranges between 0.0501 and 0.07113 and the R2 value ranges between
0.9535 and 0.9909. The cubic polynomial indicate the constants and A, B, C and D andtheR2 valuewiththemaximumof0.9976
and minimum of 0.9816. The quadratic polynomial has three constants, namely a, b and c and the R2 having a range between
0.981 and 0.9955. Table.5 shows the comparison of the R2 value among the first order kinetics,cubicpolynomial andquadratic
polynomial. In the first order kinetics constant (k (h-1)) ranges between 0.05343 and 0.115 and the R2 value ranges between
0.936 and 0.9998. The cubic polynomial indicate the constants and A, B, C and D and the R2 value with the maximum of 0.9999
and minimum of 0.9243. The quadratic polynomial has three constants, namely a, b and c and the R2 having a range between
0.9523 and 0.9987.
Table: 1 Model parameters for ABR treating textile wastewater for an average influent COD of 2912 mg/l (Without
adding of Co-substrate)
Run
No.
First Order Kinetics
Cubic Polynomial Quadratic Polynomial
k (h-1) R2 A B C D R2 a b c R2
1 0.0239 0.9544 0.05027 -2.754 -18.19 2955 0.9969 0.4134 -67.96 3069 0.9794
2 0.03947 0.9734 0.1105 -2.914 -65.67 2682 0.9936 1.726 -114.3 2757 0.984
3 0.0377 0.9468 -0.11 2.45 -85.42 2625 0.9903 -0.8482 -61.32 2604 0.9885
4 0.04749 0.9476 0.6996 -15.19 -56.93 3436 0.9803 3.704 -182.9 3550 0.9591
5 0.04567 0.9429 0.7682 -18.08 -9.189 3009 0.9952 -0.7937 -103.9 3071 0.9822
Table: 2 Model parameters for ABR treating textile wastewater for an average influent COD of 3224 mg/l (Without
adding co-substrate)
Run
No.
First Order
Kinetics Cubic Polynomial Quadratic Polynomial
K(h-1) R2 A B C D R2 a b c R2
6 0.02451 0.9649 0.02993 -1.674 -39.42 3459 0.9977 0.2116 -69.05 3527 0.9932
7 0.0358 0.9526 0.1089 -5.214 -9.286 3022 0.9984 -0.6399 -57.2 3095 0.9909
8 0.0424 0.9436 0.2951 -9.702 -23.77 3239 0.9995 -0.8482 -88.46 3296 0.9922
9 0.05605 0.9452 0.2881 -1.852 -157.7 3071 0.9728 5.926 -209.5 3118 0.9684
10 0.0584 0.9804 0.9053 -14.97 -104.2 3407 0.999 5.397 -215.8 3480 0.9861
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2440
Table: 3 Model parameters for ABR treating textile wastewater for an average influent COD of 4200 mg/l (Addition
of Co-substrate 1 g/l Glucose)
Run
No.
First Order
Kinetics
Cubic Polynomial Quadratic Polynomial
K(h-1) R2 A B C D R2 a b c R2
11 0.02482 0.9395 -0.0046 0.2682 -79.71 4274 0.9857 -0.02646 -75.08 4263 0.9857
12 0.04346 0.962 0.1957 -6.791 -67.46 4088 0.988 1.429 -153.6 4220 0.9776
13 0.05797 0.9681 0.6192 -15.5 -99.59 4583 0.998 3.08 -235.3 4701 0.9863
14 0.05247 0.9409 0.4938 -13.33 -79.68 4289 0.9834 0 -168.6 4369 0.9782
15 0.06161 0.9554 0.5624 -14.8 -79.08 4004 0.9962 -2.143 -148.4 4050 0.9933
Table: 4 Model parameters for ABR treating textile wastewater for an average influent COD of 4576 mg/l (Addition
of Co-substrate 2 g/l Glucose)
Run
No.
First Order
Kinetics
Cubic Polynomial Quadratic Polynomial
K(h-1) R2 A B C D R2 a b c R2
16 0.03922 0.9909 0.002338 1.222 -149.1 4736 0.9922 1.369 -151.4 4742 0.9955
17 0.0501 0.9543 0.303 -11.54 -40 4530 0.9976 1.19 -173.3 4733 0.981
18 0.06637 0.987 0.06366 2.456 -260.2 4881 0.9816 4.366 -274.2 4893 0.9925
19 0.05585 0.9556 -0.0823 2.434 -184.3 4189 0.9884 0.2116 -169.5 4175 0.9882
20 0.07113 0.9535 1.084 -23.67 -106 4551 0.9962 0.7143 -239.7 4639 0.9895
Table: 5 Model parameters for ABR treating textile wastewater for an average influent COD of 4774 mg/l (Addition
of Co-substrate 3 g/l Glucose)
4. CONCLUSION
Textile wastewater could be effectively treated using an ABR. By conducting experiments at the HRTs of1.748days,it
was found that the maximum COD removal efficiency of 91.67%. In order to test the validity of the model the results obtained
from the experimental effluent COD values were compared with the predicted values obtained from the models. From the
obtained high statistical quality of the modelling (R2=0.9543 and 0.9999 for CP model, between experimental and predicted
Run
No.
First Order
Kinetics
Cubic Polynomial Quadratic Polynomial
K(h-1) R2 A B C D R2 a b c R2
21 0.05343 0.9869 0.002338 2.346 -206.9 4843 0.9951 2.493 -209.2 4848 0.9951
22 0.07432 0.9943 -0.09785 8.973 -321.5 4636 0.9953 4.863 -278.4 4570 0.9938
23 0.09235 0.936 0.309 -4.887 -225.8 4683 0.9243 4.384 -293.6 4742 0.9523
24 0.09914 0.9998 -0.321 19.1 -466.2 4879 0.9999 10.43 -408.4 4842 0.9987
25 0.115 0.9986 -0.6475 28.09 -529.2 4619 0.9986 13.52 -449.4 4567 0.9966
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2441
values), it could be inferred that predicted results are in good agreement with the experimental data incaseofCP.Thisshowed
that the CP model is a more applicable model for describing the kinetics of the organic removal in anaerobic baffled reactor for
treating real time textile wastewater. Kinetic parameters were determined through linear regression using the experimental
data. It was found that these simulated data were in good agreement with the observed ones in the model, such as, Cubic
polynomial (CP). The obtained high statistical quality of the kinetic modelling (regression coefficient (R2) values between
experimental and simulated values of substrate concentration), confirmed the suitability of the models. The results indicated
that the kinetic models are capable of describing the bio-kinetic behaviour of the reactor.
REFERENCES
[1] American Public Health Association(APHA),theAmericanWater WorksAssociation(AWWA),andthe WaterEnvironment
Federation (WEF). 2005. Standards Methods for the Examination of Water and Wastewater. 21th, Washington. 1569.
[2] Bailey E James and David F. Ollis. 2010. Biochemical EngineeringFundamentals.Tata McGraw-Hill Edition,SecondEdition,
New Delhi.
[3] Bhunia P, Ghangrekar MM .2008. Analysis, evaluation, and optimization of kinetic parameters for performance appraisal
and design of UASB reactors. Bioresour Technol 99:2132–2140
[4] Bodkhe, S.Y. 2009. A modified anaerobic baffledreactor for municipal wastewater treatment. Journal of Environmental
Management, 90 (8):2488-2493.
[5] Dama, P., J. Bell, K.M. Foxon, C.J. Brouckaert, T.Huany, C.A. Buckley, V. Naidoo and D.C.Stuckey .2002.Pilot-scalestudyofan
anaerobicbaffled reactor for the treatment of domestic wastewater. Wat. Sci. Technol, 46 (9): 263-270.
[6] Debik E, Coskun T .2009. Use of the static granular bed reactor (SGBR) with anaerobic sludge to treat poultry
slaughterhouse wastewater and kinetic modeling. Bioresour Technol 100:2777–2782
[7] Jimenez, A.M., R. Borja and A. Martin .2004. Acomparative kinetic evaluation of the anaerobicdigestion of untreated
molasses and molassespreviously fermented with Penicillium decumbence in batch reactors. Biochemistry Engineering
Journal, 18:121–32.
[8] Kuscu, O.S. and D.T. Sponza .2005. Performance ofAnaerobic Baffled Reactor (ABR) treatingsynthetic wastewater
containing P-nitrophenol.Enzyme and Microbial Technology, 36: 888-895.
[9] Langenhoff, A.A.M., N. Intrachandra and D.C.Stuckey .2000. Treatment of dilute soluble and colloidal wastewaterusingan
anaerobic baffled reactor: Influence of hydraulic retention time. Water Res, 34 (4): 1307-1317.
[10] Malina, J.F. and F.G. Pohland .1992. Design of Anaerobic Processes for the Treatment of Industrial and Municipal Wastes,
1st. Ed.Published in the Western Hemisphere by Technomic Publishing Company, Inc, 41.
[11] Noykova, N. and M. Gyllenberg .2000. Sensivity analysis and parameter estimation in a model of anaerobic wastewater
treatment processes with substrate inhibition. Bioprocess Engineering, 23:343-349
[12] Siles, J.A., M.A. Mart´ın, A. Chica and R. Borja .2008. Kinetic modellingoftheanaerobicdigestionofwastewaterderivedfrom
the pressing of orange rind produced in orange juicemanufacturing. Chemical Engineering Journal,140: 145-156.
[13] Vossoughi, M., M.Shakeri and I. Alemzadeh .2003. Performance of anaerobic baffled reactortreatingsyntheticwastewater
influenced by decreasing COD/SO4 ratios., Chemical Engineering and Processing, 42: 811-816.
[14] Wang JL, Huang YH,Zhao X. 2004. Performance and characteristics of an anaerobic baffled reactor. Bioresour. Technol.
93:205-208.
[15] Xing, J., R. Boopathy and A. Tilche .1991. Model evaluation of hybrid anaerobic baffled reactor treating molasses
wastewater. Biomass and Bioenergy, 1 (5): 267-274.
[16] Yetilmezsoy K .2007. A new empirical model for the determination of the required retention time in hindered settling.
Fresenius Environ Bul 16:674–684
[17] Yetilmezsoy K, Sapci-Zengin Z .2009. Stochastic modeling applicationsforthepredictionofCODremoval efficiencyofUASB
reactors treating diluted real cotton textile wastewater. Stochas Environ Res Risk Assess 23:13–26

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IRJET - Kinetic Model on the Performance of an Anaerobic Baffled Reactor for the Treatment of Textile Wastewater

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2436 KINETIC MODEL ON THE PERFORMANCE OF AN ANAEROBIC BAFFLED REACTOR FOR THE TREATMENT OF TEXTILE WASTEWATER A. Bhuvaneswari Assistant Professors, Department of Civil Engineering, Annamalai University, India. ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract - A laboratory-scale anaerobic baffledreactor(ABR)wasoperatedatmesophilictemperature(36°c)fortreatingthereal time textile dye waste stream at five hydraulic times (HRT)s of 1.748, 1.165, 0.874, 0.699 and 0.582 days. Thereactorwasallowed to operate at an OLR of 2.745 Kg COD/m3.day with a HRT of 1.748 days attained CODremovalefficiencywas91.67%. Theobjective of the study was to formulate an improved mathematical model to describe textile wastewater treatment. In this study, the mathematical model such as, first order kinetic (FOK), cubic polynomial (CP), Quadratic polynomial (QP) models were applied to determine the substrate removal kinetic of anaerobic baffled reactor. Kinetic parameters were determined through linear regression using the experimental data. The predicted COD concentrations were calculated using the kinetic constants. It was found that these simulated data were in good agreement with the observed onesinFirstorderkinetic, cubicpolynomial,Quadratic polynomial models. Furthermore, the correlation coefficient value (R2) obtained for the experimental and predicted effluent COD concentration also confirmed the suitability of the kinetic model. The CP model fitted with the experimental values with highest accuracy (R2 ranging between 0.9543 and 0.9999) followed by FOK and QP model. This showed that theCubicpolynomial modelis a more applicable model for describing the kinetics of the organic removal in anaerobic baffled reactor for treating real time textile dye wastewater. Key Words: Anaerobic Baffled Reactor (ABR), Chemical Oxygen Demand, Degree of regression, Hydraulic retention time, kinetic parameters, Textile wastewater. 1. INTRODUCTION With the increasing deterioration of world water resources, configuring a technical and economic viable wastewater treatment and recycle technology to satisfy the increasing complexity of wastewater and stringent environmental regulation has been a great challenge over the past decades. Developing reliable technologies for wastewater treatment is of urgent importance. In recent years anaerobic baffled reactor (ABR) treating wastewater effectively have received considerable attention in the literature. It was indicated that ABR had become a promising alternative for wastewater treatment with great further development potential. Among these reactors, the ABR was suggested by many researchers as a promising system for treatment of industrial and municipal wastewaters (Kuscu and Sponza, 2005; Dama et al., 2002).Thedevelopment ofABRwas undertaken which needed neither the sludge blanket nor the granular biomass by virtue of its configuration(Langenhoff etal., 2000; Bodkhe, 2009). The most significant advantage of the ABR is its ability for partial separation of the acidogenesis and methanogenesis phases longitudinally down the reactor without operational issues and costs related to the phased reactors (Vossoughi et al., 2003; Wang et al., 2004). Process modelling is a useful tool for describing and predicting the performance of anaerobic digestion systems (Jimenez et al., 2004). It seems that a combination of theoretical considerationsand experimental findings can be used together in order to generate models with a more realistic fit (Noykova and Gyllenberg, 2000). Most models are not operationally useful, because of their complexity and the uncertainties in selection and measurement of input and output parameters crucial to effective simulation and prediction. Hence, modelling efforts often are based upon selected fundamental principles and then generalized in order to enhance applied facility for process and design control (Siles et al., 2008). There are different models for predicting the effluent substrate concentration in anaerobic treatment systems. In the models of Grau, Contois, Chen &Hashimoto, Kincannon-StoverandFirst-orderkinetics,theeffluentsubstrateconcentration,Se, is a function of the influent substrate concentration, Si. This is in contrast with the Monod model where Se is independent of Si. Meanwhile these models also most frequently assume completely mixed and steady-state conditions (Malina and Pohland, 1992). In order to better understand the ABR operation and to describe reactor performance, attempts have been made to model an ABR reactor (Xing et al., 1991). Modelling is a valuable tool in both design and operation of biological treatment plants. In addition, modelling of wastewater treatment plants can also be used for process optimizationandtestingofcontrol strategiestomeeteffluent quality requirements at a reasonable cost. Hence, modelling helps to develop a better understanding of the treatment processes and provides a significant potential for solving operational problems, as well as reducing operational costinbiological wastewater treatment process. Moreover, model results can be evaluated for different operating data beforetransferringtheconceptsto a full-scale plant (Yetilmezsoy K (2007). Development of kinetic models is a useful attemptin bothdesigningandoptimizationof
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2437 a particular treatment process by reducing laborious and complex experimental data to simple and convenient mathematical expressions (Yetilmezsoy K (2007). Kinetic modelling-based studies give a good insight into reaction mechanisms andhelpto describe several specific parameters for monitoring the system performance. Debik and Coskun (2009) have reported that results of kinetic studies can also be used for predicting treatment efficiencies of full-scale reactors running under the same operational conditions. For this purpose, the precise determination of kinetic coefficients and selection of appropriate mathematical relationship between process variables are obligatory to increase the applicability of such a model (Bhunia P, Ghangrekar MM, 2008). Therefore, the most appropriate kinetic model representing the extension of the experimental data should be selected to recognize possible technical faults and to reduce operating costs of plants in the planning stage (Yetilmezsoy K, Sapci-Zengin Z , 2009). In the present study, the several kinetic models available in literature three different models such as the first order kinetics, cubic polynomial and quadratic polynomial models were applied to determine the substrate removal kinetics of ABR using textile wastewater and verified the validity of the models by comparing the experimental and predicted data at decreasing HRTs. 1.1 MATERIALS AND METHODS 1.1.1 Reactor Configuration In the present study an experimental model ofAnaerobic baffledReactorwasfabricatedtoconductexperimentforreal time waste streams of textile industry to evaluate the treatment efficiency under varying experimental conditions. The experimental laboratory model was made up of Plexiglass. The size of the anaerobic baffled reactor was: length 50cm, width 24cm, depth 30cm and working volume of the reactor was 36 litres. A proper constructionofthebafflesallowedwastewaterto flow through the sludge bed from bottom up. The model have five compartments and the distance of the upper edge of baffles between the ascending and descending compartments from the water level was 3cm above the reactor's base at a 45° angle to direct the flow evenly through the up-corners. The liquid flow is alternativelyupwards anddownwardsbetweencompartment partitions. This produced effective mixing and contact between the wastewater and biosolids at the base of each up corners. Sampling ports were used for drawing biological sludge and liquid samples. A variable speed Peristaltic Pump (PP -30) was used to control flow rate. The schematic of the experimental setupisshownin Figure1.1.Thetreatmentprocessfor acclimation was achieved by operating the plant with screened seed sludge drawn from the treatment facilities of Annamalai University. The textile effluent was collected from M R S Dyeing private limited, Avinashi road, Tirupur, Tamil Nadu. The samples were analyzed and characterized as per the Standard ProceduresgiveninAPHA,StandardMethodsfortheExaminationofWaterand Wastewater, 21st Edition 2005. The textile wastewater was allowed to the reactor in gradual addition of20%,40%, 60%,80% and 100%. After allowing 100% textile wastewater to the reactor, the COD removal efficiency was monitored. Feed Tank Hanging Baffle 3cm 2cm 8cm Standing Baffle10cm 50 cm Peristaltic Pump Effluent Tank Sampling Port - I Sampling Port - II Desludge Gas Collector Gas 6cm 45 o 24cm Fig. 1.1 Schematic of Anaerobic Baffled Reactor 1.2 Kinetic Modelling Mathematical modelling and simulation studies find an important tool in the design of any process for its implementation and control. In the present research an aerobic baffled reactor on continuous mode of operation was used. Scaling up this reactor set up to industrial requirement is quite challenging in terms of design andcontrol.Itcanbeaccomplishedonlybydevelopinga model for the COD (s) removal in terms of the independent variable ‘time’. In thisperceptivethefollowingmodelsweretried to fit the experimental data.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2438 First Order Kinetics kt dt ds  ie s=s0 e-kt Cubic Polynomial s= At3+Bt2+Ct+D Quadratic Polynomial s=at2+bt+c Where s = COD (mg/l) s0 = Initial COD (mg/1) t = Time (h) k = constant of the FOK model (h-1) A, B, C, D = cubic polynomial constants a, b, c = quadratic polynomial constants dt ds = substrate removal rate (mg/l. d) 2. EVALUATION OF PARAMETERS The fitting of models and evaluation of the parameters k (FOK), A,B,C,D (CP) a, b, c (QP) was carried out using the CFTOOL kit available in MATLAB 10 software. 2.1 Error analysis Validation of any model to experimental data canbeaccomplished byestimatingtheerrorbetweenmodel simulatedvaluesand experimental values with the latter as basis. In most of the cases errors are representedinpercentages.Inthepresentwork the absolute error percentage is computed using the following equation and the overall error is calculated by calculating the average of errors for all the data points. Error percentage = 100 * 3. RESULTS AND DISCUSSION Mathematical modelling of any process involves understanding the mechanism of the process and to develop a model accordingly or vice versa (Bailey and Ollis, 2010).Themodel validationisalwaysaccomplished bycomparingthereal timedata and model simulated finding by using error analysis. In the present investigation, the COD reduction was found at satisfactory level with the following models reasonably.  First Order Kinetics (FOK)  Quadratic Polynomial (QP)  Cubic Polynomial (CP) The model parameters k value for FOK model, a, b and c for QP and A, B, C and D for CP model for the 25 experimental runs are evaluated using cf tool kit in MATLAB 10 Software. The estimated parameters, validation of models (R2 values and error analysis) are presented in the table 1 to 5. Also, the comparisonbetweentheexperimental andpredictedmodel,valuesof the COD reduction for the 25 runs also been discussed. The modellinginvestigationwascarriedoutforthe3modelsmentioned above using MATLAB software and MX EXCEL. The cftool kit in MATLAB software generated the models parameters of the equations along with the R2 value. From the R2 values it was found that of FOK, CP and QP models fit the experimental COD removal with reasonable accuracy. The estimated parameters for the 25 runs are presented in Table 1 to 5 along with the R2 values. Table.1 shows the comparison of the R2 value among the first order kinetics, cubic polynomial and quadratic polynomial. In the first order kinetics constant (k (h-1)) ranges between 0.0239 and 0.0749 and the R2 value ranges between 0.9429 and 0.9734. The cubic polynomial indicate the constants and A, B, C and D andtheR2 valuewiththemaximumof0.9969
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2439 and minimum of 0.9803. The quadratic polynomial has three constants, namely a, b and c and the R2 having a range between 0.9591 and 0.9885. Table.2 shows the comparison of the R2 value among the first order kinetics, cubic polynomial and quadratic polynomial. In the first order kinetics constant (k (h-1)) ranges between 0.02451 and 0.0584 and theR2 valueranges between 0.9436 and 0.9804. The cubic polynomial indicate the constants and A, B, C and D and the R2 value withthe maximum of 0.9995 and minimum of 0.9728. The quadratic polynomial has three constants, namely a, b and c and the R2 having a range between 0.9684 and 0.9932. Table.3 shows the comparison of the R2 value amongthefirstorderkinetics,cubicpolynomial and quadratic polynomial. In the first order kinetics constant (k (h-1))rangesbetween0.02482and0.06161andtheR2 valueranges between 0.9395 and 0.9681. The cubic polynomial indicate the constants and A, B, C and D and the R2 value withthe maximum of 0.998 and minimum of 0.9834. The quadratic polynomial has three constants, namely a, b and c and the R2 having a range between 0.9776 and 0.9933. Table.4 shows the comparison of the R2 value among the first order kinetics, cubic polynomial and quadratic polynomial. In the first order kinetics constant (k (h-1)) ranges between 0.0501 and 0.07113 and the R2 value ranges between 0.9535 and 0.9909. The cubic polynomial indicate the constants and A, B, C and D andtheR2 valuewiththemaximumof0.9976 and minimum of 0.9816. The quadratic polynomial has three constants, namely a, b and c and the R2 having a range between 0.981 and 0.9955. Table.5 shows the comparison of the R2 value among the first order kinetics,cubicpolynomial andquadratic polynomial. In the first order kinetics constant (k (h-1)) ranges between 0.05343 and 0.115 and the R2 value ranges between 0.936 and 0.9998. The cubic polynomial indicate the constants and A, B, C and D and the R2 value with the maximum of 0.9999 and minimum of 0.9243. The quadratic polynomial has three constants, namely a, b and c and the R2 having a range between 0.9523 and 0.9987. Table: 1 Model parameters for ABR treating textile wastewater for an average influent COD of 2912 mg/l (Without adding of Co-substrate) Run No. First Order Kinetics Cubic Polynomial Quadratic Polynomial k (h-1) R2 A B C D R2 a b c R2 1 0.0239 0.9544 0.05027 -2.754 -18.19 2955 0.9969 0.4134 -67.96 3069 0.9794 2 0.03947 0.9734 0.1105 -2.914 -65.67 2682 0.9936 1.726 -114.3 2757 0.984 3 0.0377 0.9468 -0.11 2.45 -85.42 2625 0.9903 -0.8482 -61.32 2604 0.9885 4 0.04749 0.9476 0.6996 -15.19 -56.93 3436 0.9803 3.704 -182.9 3550 0.9591 5 0.04567 0.9429 0.7682 -18.08 -9.189 3009 0.9952 -0.7937 -103.9 3071 0.9822 Table: 2 Model parameters for ABR treating textile wastewater for an average influent COD of 3224 mg/l (Without adding co-substrate) Run No. First Order Kinetics Cubic Polynomial Quadratic Polynomial K(h-1) R2 A B C D R2 a b c R2 6 0.02451 0.9649 0.02993 -1.674 -39.42 3459 0.9977 0.2116 -69.05 3527 0.9932 7 0.0358 0.9526 0.1089 -5.214 -9.286 3022 0.9984 -0.6399 -57.2 3095 0.9909 8 0.0424 0.9436 0.2951 -9.702 -23.77 3239 0.9995 -0.8482 -88.46 3296 0.9922 9 0.05605 0.9452 0.2881 -1.852 -157.7 3071 0.9728 5.926 -209.5 3118 0.9684 10 0.0584 0.9804 0.9053 -14.97 -104.2 3407 0.999 5.397 -215.8 3480 0.9861
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2440 Table: 3 Model parameters for ABR treating textile wastewater for an average influent COD of 4200 mg/l (Addition of Co-substrate 1 g/l Glucose) Run No. First Order Kinetics Cubic Polynomial Quadratic Polynomial K(h-1) R2 A B C D R2 a b c R2 11 0.02482 0.9395 -0.0046 0.2682 -79.71 4274 0.9857 -0.02646 -75.08 4263 0.9857 12 0.04346 0.962 0.1957 -6.791 -67.46 4088 0.988 1.429 -153.6 4220 0.9776 13 0.05797 0.9681 0.6192 -15.5 -99.59 4583 0.998 3.08 -235.3 4701 0.9863 14 0.05247 0.9409 0.4938 -13.33 -79.68 4289 0.9834 0 -168.6 4369 0.9782 15 0.06161 0.9554 0.5624 -14.8 -79.08 4004 0.9962 -2.143 -148.4 4050 0.9933 Table: 4 Model parameters for ABR treating textile wastewater for an average influent COD of 4576 mg/l (Addition of Co-substrate 2 g/l Glucose) Run No. First Order Kinetics Cubic Polynomial Quadratic Polynomial K(h-1) R2 A B C D R2 a b c R2 16 0.03922 0.9909 0.002338 1.222 -149.1 4736 0.9922 1.369 -151.4 4742 0.9955 17 0.0501 0.9543 0.303 -11.54 -40 4530 0.9976 1.19 -173.3 4733 0.981 18 0.06637 0.987 0.06366 2.456 -260.2 4881 0.9816 4.366 -274.2 4893 0.9925 19 0.05585 0.9556 -0.0823 2.434 -184.3 4189 0.9884 0.2116 -169.5 4175 0.9882 20 0.07113 0.9535 1.084 -23.67 -106 4551 0.9962 0.7143 -239.7 4639 0.9895 Table: 5 Model parameters for ABR treating textile wastewater for an average influent COD of 4774 mg/l (Addition of Co-substrate 3 g/l Glucose) 4. CONCLUSION Textile wastewater could be effectively treated using an ABR. By conducting experiments at the HRTs of1.748days,it was found that the maximum COD removal efficiency of 91.67%. In order to test the validity of the model the results obtained from the experimental effluent COD values were compared with the predicted values obtained from the models. From the obtained high statistical quality of the modelling (R2=0.9543 and 0.9999 for CP model, between experimental and predicted Run No. First Order Kinetics Cubic Polynomial Quadratic Polynomial K(h-1) R2 A B C D R2 a b c R2 21 0.05343 0.9869 0.002338 2.346 -206.9 4843 0.9951 2.493 -209.2 4848 0.9951 22 0.07432 0.9943 -0.09785 8.973 -321.5 4636 0.9953 4.863 -278.4 4570 0.9938 23 0.09235 0.936 0.309 -4.887 -225.8 4683 0.9243 4.384 -293.6 4742 0.9523 24 0.09914 0.9998 -0.321 19.1 -466.2 4879 0.9999 10.43 -408.4 4842 0.9987 25 0.115 0.9986 -0.6475 28.09 -529.2 4619 0.9986 13.52 -449.4 4567 0.9966
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 06 | June 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2441 values), it could be inferred that predicted results are in good agreement with the experimental data incaseofCP.Thisshowed that the CP model is a more applicable model for describing the kinetics of the organic removal in anaerobic baffled reactor for treating real time textile wastewater. Kinetic parameters were determined through linear regression using the experimental data. It was found that these simulated data were in good agreement with the observed ones in the model, such as, Cubic polynomial (CP). The obtained high statistical quality of the kinetic modelling (regression coefficient (R2) values between experimental and simulated values of substrate concentration), confirmed the suitability of the models. The results indicated that the kinetic models are capable of describing the bio-kinetic behaviour of the reactor. REFERENCES [1] American Public Health Association(APHA),theAmericanWater WorksAssociation(AWWA),andthe WaterEnvironment Federation (WEF). 2005. Standards Methods for the Examination of Water and Wastewater. 21th, Washington. 1569. [2] Bailey E James and David F. Ollis. 2010. Biochemical EngineeringFundamentals.Tata McGraw-Hill Edition,SecondEdition, New Delhi. [3] Bhunia P, Ghangrekar MM .2008. Analysis, evaluation, and optimization of kinetic parameters for performance appraisal and design of UASB reactors. Bioresour Technol 99:2132–2140 [4] Bodkhe, S.Y. 2009. A modified anaerobic baffledreactor for municipal wastewater treatment. Journal of Environmental Management, 90 (8):2488-2493. [5] Dama, P., J. Bell, K.M. Foxon, C.J. Brouckaert, T.Huany, C.A. Buckley, V. Naidoo and D.C.Stuckey .2002.Pilot-scalestudyofan anaerobicbaffled reactor for the treatment of domestic wastewater. Wat. Sci. Technol, 46 (9): 263-270. [6] Debik E, Coskun T .2009. Use of the static granular bed reactor (SGBR) with anaerobic sludge to treat poultry slaughterhouse wastewater and kinetic modeling. Bioresour Technol 100:2777–2782 [7] Jimenez, A.M., R. Borja and A. Martin .2004. Acomparative kinetic evaluation of the anaerobicdigestion of untreated molasses and molassespreviously fermented with Penicillium decumbence in batch reactors. Biochemistry Engineering Journal, 18:121–32. [8] Kuscu, O.S. and D.T. Sponza .2005. Performance ofAnaerobic Baffled Reactor (ABR) treatingsynthetic wastewater containing P-nitrophenol.Enzyme and Microbial Technology, 36: 888-895. [9] Langenhoff, A.A.M., N. Intrachandra and D.C.Stuckey .2000. Treatment of dilute soluble and colloidal wastewaterusingan anaerobic baffled reactor: Influence of hydraulic retention time. Water Res, 34 (4): 1307-1317. [10] Malina, J.F. and F.G. Pohland .1992. Design of Anaerobic Processes for the Treatment of Industrial and Municipal Wastes, 1st. Ed.Published in the Western Hemisphere by Technomic Publishing Company, Inc, 41. [11] Noykova, N. and M. Gyllenberg .2000. Sensivity analysis and parameter estimation in a model of anaerobic wastewater treatment processes with substrate inhibition. Bioprocess Engineering, 23:343-349 [12] Siles, J.A., M.A. Mart´ın, A. Chica and R. Borja .2008. Kinetic modellingoftheanaerobicdigestionofwastewaterderivedfrom the pressing of orange rind produced in orange juicemanufacturing. Chemical Engineering Journal,140: 145-156. [13] Vossoughi, M., M.Shakeri and I. Alemzadeh .2003. Performance of anaerobic baffled reactortreatingsyntheticwastewater influenced by decreasing COD/SO4 ratios., Chemical Engineering and Processing, 42: 811-816. [14] Wang JL, Huang YH,Zhao X. 2004. Performance and characteristics of an anaerobic baffled reactor. Bioresour. Technol. 93:205-208. [15] Xing, J., R. Boopathy and A. Tilche .1991. Model evaluation of hybrid anaerobic baffled reactor treating molasses wastewater. Biomass and Bioenergy, 1 (5): 267-274. [16] Yetilmezsoy K .2007. A new empirical model for the determination of the required retention time in hindered settling. Fresenius Environ Bul 16:674–684 [17] Yetilmezsoy K, Sapci-Zengin Z .2009. Stochastic modeling applicationsforthepredictionofCODremoval efficiencyofUASB reactors treating diluted real cotton textile wastewater. Stochas Environ Res Risk Assess 23:13–26