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Modelling the (α)-factor in a Pneumatic Bioreactor Using the Taguchi Approach

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The goal of this paper is to build a relationship for the prediction of (α)-factor based on the Taguchi approach. The tests have been carried out in an experimental pilot that comprises a rectangular tank of 84.6 L, fed with synthetic wastewater in the presence of air in order to preserve the biomass proliferation. The observations reveal that an increase of MLSS to 16 mg. L-1 reduces the (α)-factor from 0.79 to 0.1. The interpretation of the biological and the physical factors impacts on (α)-factor and this leads to elaborate a surface response RSM and multiple linear regression MLR models at a confidence level of 95%. The R2 of the MLR models has showed significant values of about ≥80%. It has been concluded that the limits of the operating conditions and the design geometry play a key role in the model's ability to explain the experimental change of (α)-factor.
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Activated Sludge; (α)-factor; Oxygen Transfer Coefficient; Taguchi Approach

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J. Henkel, P. Cornel, and M. Wagner, Oxygen Transfer In Activated Sludge – New Insights and Potentials for Cost Saving, Water Science and Technology, Vol. 63 (Issue 12): 3034-3038, June 2011.

R. Mineta, Z. Salehi, H. Yoshikawa, and Y. Kawase, Oxygen Transfer During Aerobic Biodegradation of Pollutants in a Dense Activated Sludge Slurry Bubble Column: Actual Volumetric Oxygen Transfer Coefficient and Oxygen Uptake Rate in P-Nitrophenol Degradation by Acclimated Waste Activated Sludge, Biochemical Engineering Journal, Vol. 53 (Issue 3): 266-274, February 2011.

E. Germain, F. Nelles, A. Drews, P. Pearce, M. Kraume, E. Reid, S. J. Judd, and T. Stephenson, Biomass Effects on Oxygen Transfer in Membrane Bioreactors, Water Research, Vol. 41 (Issue 5): 1038-1044, March 2007.

E. Pittoors, Y. Yaping Guo, and S. W. H. Van Hulle, Oxygen Transfer Model Development Based on Activated Sludge and Clean Water in Diffused Aerated Cylindrical Tanks, Chemical Engineering Journal, Vol. 243: 51-59, May 2014.

American Society of Civil Engineers (ASCE), Standard Guidelines for in-Process Oxygen Transfer Testing, 1996.

French Association for Standardization (NFEN), Wastewater Treatment Plants Part 15: Measurements of the Oxygen Transfer in Clean Water in Aeration Tanks of Activated Sludge Plants, NFEN-12255 15, 2004.

C. Duran, Y. Fayolle, Y. Pechaud, A. Cockx, and S. Gillot, Impact of Suspended Solids on the Activated Sludge Non-Newtonian Behaviour and on Oxygen Transfer in a Bubble Column, Chemical Engineering Science, Vol. 141: 154-165, February 2016.

B. Jin, P. H. Yin, and P. Lant, Hydrodynamics and Mass Transfer Coefficient in Three-Phase Air-Lift Reactors Containing Activated Sludge, Chemical Engineering and Processing: Process Intensification, Vol. 45 (Issue 7): 608-617, July 2006.

J. Krampe, and K. Krauth, Oxygen Transfer into Activated Sludge with High MLSS Concentrations, Water Science and Technology, Vol. 47 (Issue 11): 297-303, June 2003.

Makke, S., Keste, A., Gawande, S., Optimization of Design Parameters of Bellows Using Taguchi Method, (2017) International Review of Mechanical Engineering (IREME), 11 (10), pp. 743-747.

M. Kamali, M. Khalaj, M. E. V. Costa, I. Capela, and T. M. Aminabhavi, Optimization of Kraft Black Liquor Treatment Using Ultrasonically Synthesized Mesoporous Tenorite Nanomaterials Assisted by Taguchi Design, Chemical Engineering Journal, Vol. 401: 1385-8947, December 2020.

Gadhave, N., Gawande, S., Optimization of CI Engine Vibration Characteristics Operated on Jatropha Methyl Ester Using Taguchi and Multiple Regression Analysis, (2017) International Review of Mechanical Engineering (IREME), 11 (6), pp. 367-372.

Muslim, A., Ardy, S., Syaubari, S., Response Surface Methodology-Based Model and Optimization of CO2 Absorption Using Methyldiethanolamine Activated by Piperazine, (2017) International Review on Modelling and Simulations (IREMOS), 10 (4), pp. 296-302.

A. Bhargav, K. S. Min, L.Wen Feng, J. Y. H. Fuh, and V. Rosa, Taguchi's Methods to Optimise the Properties and Bioactivity of 3D Printed Polycaprolactone/Mineral Trioxide Aggregate Scaffold: Theoretical Predictions and Experimental Validation, Journal of Biomedical Materials Research, Vol. 108 (Issue 3): 1-9, May 2019.

Yerrawar, R., Arakerimath, R., Taguchi Based Grey Relational Analysis Methodology for Semi Active Suspension System Using MR Damper, (2017) International Review of Mechanical Engineering (IREME), 11 (9), pp. 666-672.

Alrashdan, M., Quality and Damping Factors Optimization Using Taguchi Methods in Cantilever Beam Based Piezoelectric Micro-Power Generator for Cardiac Pacemaker Applications, (2020) International Review on Modelling and Simulations (IREMOS), 13 (2), pp. 74-84.

H. Aguedal, A. Iddou, and J. Locs, Optimization of the Adsorption Process of Bezaktiv Turquoise Blue «VG» Textile Dye onto Diatomite Using the Taguchi Method, Key Engineering Materials, Vol. 762: 81-86, February 2018.

M. Tramsek, and A. Gorsek, Determination of the Process Parameters Relative Influence on KLa Value Using Taguchi Design Methodology, Journal of Industrial and Engineering Chemistry, Vol. 13 (Issue 7): 1054-1061, December 2007.

L. Shu et al., Process optimization in a stirred tank bioreactor based on CFD-Taguchi method: A case study, Journal of Cleaner Production, Vol. 230, pp. 1074–1084, 2019.

J. Boog, J. Nivala, Thomas Kalbacher, M. Van Afferden, and R. A. Müller, Do Wastewater Pollutants Impact Oxygen Transfer in Aerated Horizontal Flow Wetlands, Chemical Engineering Journal, Vol. 383: 123-173, March 2020.

M. A. EL Aissaoui El Meliani, A. Debab, and A. Benhamou, Prediction and Modeling of the Coefficient (KLa) by Respirometry in an Activated Sludge Bioreactor, African Review of Science, Technology and Development, Vol. 4 (Issue 1): 39-45, January 2019.

M. A. El Aissaoui El Meliani, A. Debab, M. Khelladi, and A. Benhamou. Effects of Aeration on Biological Purification by Activated Sludge, June 2019. ⟨hal-02061442⟩

J. Rodier, J. P. Broutin, P. Chambon, H. Champsaur, and L. Rodi, Water Analysis (Dunod, 2009).

J. A. Muller, and W. C. Boyle, Oxygen Transfer Under Process Conditions, Journal (Water Pollution Control Federation), Vol. 60 (Issue 3): 332-341, March 1988.

J. A. Mueller, W. C. Boyle, and H. J. Pöpel, Aeration: Principle and Practice. In: Water Quality Management (CRC Press, 2002).

H. Benmoussa, W. Elfalleh, S. He, M. Romdhane, A. Benhamou, and R. Chawech, Microwave Hydrodiffusion and Gravity for Rapid Extraction of Essential Oil from Tunisian Cumin (Cuminum Cyminum L.) Seeds: Optimization by Response Surface Methodology, Industrial Crops and Products, Vol. 124: 633-642, November 2018.

M. Sadrzadeh, T. Mohammadi, Sea water desalination using electrodialysis, Desalination Vol. 221 (Issue 1-3), 440-447, 2008.

R. Herrmann-Heber, S. F. Reinecke, and U. Hampel, Dynamic aeration for improved oxygen mass transfer in the wastewater treatment process, Chemical Engineering Journal, Vol. 386: 1385-8947, April 2020.

S. Fahim, K. Dimitrov, P. Vauchel, F. Gancel, G. Delaplace, P. Jacques, and I. Nikov, Oxygen Transfer in Three Phase Inverse Fluidized Bed Bioreactor During Biosurfactant Production by Bacillus Subtilis, Biochemical Engineering Journal, Vol. 76: 70-76, July 2013.

P. Painmanakul, J. Wachirasak, M. Jamnongwong, and G. Hebrard, Theoretical Prediction of Volumetric Mass Transfer Coefficient (KLa) for Designing an Aeration Tank, Engineering journal, Vol. 13 (Issue 3): 13–28, September 2009.

G. A. Baquero‐Rodriguez, J. A. Lara‐Borrero, D. Nolasco, D. Rosso, Review of the Factors Affecting Modelling Oxygen Transfer by Fine‐Pore Diffusers in Activated Sludge, Water Environment Research, February 2019.


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