Analytical and hybrid-neuro-differential approaches for describing contaminant removal from aqueous systems

Keywords: Analytical solution, Mass transfer, Pollutant, Wastewater

Abstract

In this study, both analytical and hybrid-neuro-differential formulations were developed for describing the contaminant removal from wastewater by adsorption. The sorption isotherm, expressed as a straight-line equation (single segment or piecewise function) or artificial neural network (ANN), was coupled to the balance equations describing the pollutant transfer in adsorbent and wastewater phases, and their contact interface. The resulting wastewater adsorption remediation model (WARM) is valid for both batch and continuous operations, does not consider a dominant internal or external resistance to mass transfer or instantaneously equilibrated adsorbent, and has an analytical solution when a straight-line isotherm is used. The applicability of current model was tested in the analysis of two experimental datasets from literature describing the removal of the anionic dye direct red 23 (DR23) by graphene oxide (GO) and 4-nitrophenol (4NP) on calcium alginate-multiwall carbon nanotube beads (CAMCNB), where internal and external mass transfer coefficients and sorption isotherm parameters were simultaneously estimated by nonlinear regression. The analytical and hybrid-neuro-differential formulations were further compared with a numerical one where the WARM was coupled to Langmuir isotherm. Besides, the model was also used to explore different scenarios for continuous operation with all tested isotherms. It was demonstrated that the proposed formulations based on straight-line and ANN isotherms achieved a good reproduction of both dynamic and equilibrium experimental data, with similar fitness indices to that obtained with other non-linear equilibrium models.

References

Aggelopoulos, C.A. (2022). Recent advances of cold plasma technology for water and soil remediation: A critical review. Chemical Engineering Journal 428, 131657. https://doi.org/10.1016/j.cej.2021.131657

Ahmed, M., Mavukkandy, M.O., Giwa, A., Elektorowicz, M., Katsou, E., Khelifi, O., Naddeo, V. and Hasan, S.W. (2022). Recent developments in hazardous pollutants removal from wastewater and water reuse within a circular economy. NPJ Clean Water 5, 12.

Ashrafi, S.D., Safari, G.H., Sharafi, K., Kamani, H. and Jaafari, J. (2021). Adsorption of 4-Nitrophenol on calcium alginate-multiwall carbon nanotube beads: Modeling, kinetics, equilibriums and reusability studies. International Journal of Biological Macromolecules 185, 66-76. https://doi.org/10.1016/j.ijbiomac.2021.06.081

Ayouch, I., Barrak, I., Kassab, Z., El Achaby, M., Barhoun, A. and Draoui, K. (2020). Impact of the drying process on the efficiency of alginate beads for cadmium removal from water: Kinetic, isotherm and thermodynamic study. Environmental Technology and Innovation 20, 101157. https://doi.org/10.1016/j.eti.2020.101157

Biswas, S. and Mishra, U. (2015). Continuous fixed-bed column study and adsorption modeling: removal of lead ion from aqueous solution by charcoal originated from chemical carbonization of rubber wood sawdust. Journal of Chemistry, Article ID 907379. http://dx.doi.org/10.1155/2015/907379

Castillo-Santos, K., Ruiz-López, I.I., Rodríguez-Jiménez, G.C., Carrillo-Ahumada, J. and García-Alvarado, M.A. (2017). Analysis of mass transfer equations during solid-liquid extraction and its application for vanilla extraction kinetics modeling. Journal of Food Engineering 192, 36-44. http://dx.doi.org/10.1016/j.jfoodeng.2016.07.020

Chowdhury, S. and Saha, P.D. (2013). Artificial neural network (ANN) modeling of adsorption of methylene blue by NaOH-modified rice husk in a fixed-bed column system. Environmental Science and Pollution Research 20, 1050-1058. https://doi.org/10.1007/s11356-012-0912-2

Chowdhury, Z.Z., Zain, S.M., Rashid, A.K., Rafique, R.F. and Khalid, K. (2013). Breakthrough curve analysis for column dynamics sorption of Mn(ii) ions from wastewater by using mangostana garcinia peel-based granular-activated carbon. Journal of Chemistry, Article ID 959761. http://dx.doi.org/10.1155/2013/959761

Fagundez, J.L.S., Netto, M.S., Dotto, G.L. and Salau, N.P.G. (2021). A new method of developing ANN-isotherm hybrid models for the determination of thermodynamic parameters in the adsorption of ions Ag+, Co2+ and Cu2+ onto zeolites ZSM-5, HY, and 4A. Journal of Environmental Chemical Engineering 9, 106126. https://doi.org/10.1016/j.jece.2021.106126

Fadzail, F., Hasan, M., Ibrahim, N., Mokhtar, Z., Yekti, A., Asih, P. and Syafiuddin, A. (2022). Adsorption of diclofenac sodium using low-cost activated carbon in a fixed-bed column. Biointerface Research in Applied Chemistry 12, 8042-8056. https://doi.org/10.33263/BRIAC126.80428056

García-González, R., Gómez-Espinosa, R.M., Ávila-Pérez, P., Garcia-Gaitán, B., García-Rivas, J.L. and Zavala-Arce, R.E. (2016). Biosorption study of Cu2+ onto the chitosan-cellulose cryogel. Revista Mexicana de Ingeniería Química 15, 311-322.

González-López, M.E., Laureano-Anzaldo, C.M., Pérez-Fonseca, A.A., Arellano, M. and Robledo-Ortiz, J.R. (2021). A discussion on linear and non-linear forms of Thomas equation for fixed-bed adsorption column modeling. Revista Mexicana de Ingeniería Química 20, 875-884. https://doi.org/10.24275/rmiq/Fen2337

Hernández-Abreu, A.B., Álvarez-Torrellas, S., Águeda, V.I., Larriba, M., Delgado, J.A., Calvo, P.A., García, J. (2020). New insights from modelling and estimation of mass transfer parameters in fixed-bed adsorption of bisphenol A onto carbon materials. Journal of Contaminant Hydrology 228, 103566. https://doi.org/10.1016/j.jconhyd.2019.103566

Hernández-Osorio, M.A., Ochoa-Velasco., C.E., García-Alvarado, M.A., Escobedo-Morales, A. and Ruiz-López, I.I. (2020). Sequential synthesis of PID controllers based on LQR method. Revista Mexicana de Ingeniería Química 19, 913-928. https://doi.org/10.24275/rmiq/Sim814

Konicki, W., Aleksandrzak, M., Moszyński, D. and Mijowska, E. (2017). Adsorption of anionic azo-dyes from aqueous solutions onto graphene oxide: Equilibrium, kinetic and thermodynamic studies. Journal of Colloid and Interface Science 496, 188-200. https://doi.org/10.1016/j.jcis.2017.02.031

Leo-Avelino, G., Urrea-Garcia, G.R., Gómez-Rodríguez, J., Pérez-Correa, S. and Aguilar-Uscanga, M.G. (2021). Natural Mexican Clinoptilolite for ethanol dehydration: adsorption-regeneration experimental parameter determination and scaling-up at Pilot Plant. Revista Mexicana de Ingeniería Química 20, Proc2358. https://doi.org/10.24275/rmiq/Proc2358

Marzban, N., Mohed, A., Filonenko, S., Hosseini, S.H., Nouri, M.J., Libra, J.A., Farru, G. (2021). Intelligent modeling and experimental study on methylene blue adsorption by sodium alginate-kaolin beads. International Journal of Biological Macromolecules 186, 79-91.

Mendoza-Castillo, D.I., Reynel-Ávila, H.E., Sánchez-Ruiz, F.J., Trejo-Valencia, R., Jaime-Leal, J.E. and Bonilla-Petriciolet, A. (2018). Insights and pitfalls of artificial neural network modeling of competitive multi-metallic adsorption data. Journal of Molecular Liquids 251, 15-27. https://doi.org/10.1016/j.molliq.2017.12.030

Obón, J.M., Angosto, J.M., González-Soto, F. and Ascua, A. (2022). Prototyping a spinning adsorber submerged filter for continuous removal of wastewater contaminants. Journal of Water Process Engineering 45, 102515. https://doi.org/10.1016/j.jwpe.2021.102515

Ogata, K. (2010). Modern Control Engineering. Fifth Edition. Prentice Hall, U.S.A.

Panis, C., Candiotto, L.Z.P., Gaboardi, S.C., Gurzenda, S., Cruz, J., Castro, M. and Lemos, B. (2022). Widespread pesticide contamination of drinking water and impact on cancer risk in Brazil. Environmental International, 107321. https://doi.org/10.1016/j.envint.2022.107321

Picetti, R., Deeney, M., Pastorino, S., Miller, M.R., Shah, A., Leon, D.A., Dangour, A.D. and Green, R. (2022). Nitrate and nitrite contamination in drinking water and cancer risk: A systematic review with meta-analysis. Environmental Research 210, 112988. https://doi.org/10.1016/j.envres.2022.112988

Promraksa, A., Siripitana, C., Rakmak, N. and Chusri, N. (2020). Modeling of supercritical CO2 extraction of palm oil and tocopherols based on volumetric axial dispersion. The Journal of Supercritical Fluids 166, 105021. https://doi.org/10.1016/j.supflu.2020.105021

Qiao, J., Xiong, Y. (2021). Electrochemical oxidation technology: A review of its application in high-efficiency treatment of wastewater containing persistent organic pollutants. Journal of Water Process Engineering 44, 102308. https://doi.org/10.1016/j.jwpe.2021.102308

Rangabhasyiyam, S., Anu, N., Giri Nandagopal, M.S. and Selvaraju, N. (2014). Relevance of isotherm models in biosorption of pollutants by agricultural byproducts. Journal of Environmental Chemical Engineering 2, 398-414. https://doi.org/10.1016/j.jece.2014.01.014

Rueda-Márquez, J.J., Levchuk, I., Ibañez, P.F. and Sillanpää, M. (2020). A critical review on application of photocatalysis for toxicity reduction of real wastewaters. Journal of Cleaner Production 258, 120694. https://doi.org/10.1016/j.jclepro.2020.120694

Shirazi, M.M.A. and Dumeé, L.F. (2022). Membrane distillation for sustainable wastewater treatment. Journal of Water Process Engineering 47, 102670.

Tejeda-Tovar, C., Bonilla-Mancilla, H., Villabona-Ortiz, A., Ortega-Toro, R. and Licares-Eguavil, J. (2021a). Effect of the adsorbent dose and initial contaminant concentration on the removal of Pb(II) in a solution using Opuntia ficus Indica shell. Revista Mexicana de Ingeniería Química 20, 555-568. https://doi.org/10.24275/rmiq/IA2134

Tejeda-Tovar, C., Villabona-Ortíz, A., Ortega-Toro, R., López-Génes, J. and Negrete-Palacio, A. (2021b). Elimination of cadmium (II) in aqueous solution using corn cob (Zea mays) in batch system: adsorption kinetics and equilibrium. Revista Mexicana de Ingeniería Química 20, 1059-1077. https://doi.org/10.24275/rmiq/IA2398

Thorpe, G.R. (2022). Modelling the rate of adsorption of carbon dioxide by wheat. Journal of Stored Products Research 97, 101970. https://doi.org/10.1016/j.jspr.2022.101970

Torres-Ramón, E., García-Rodríguez, C.M., Estévez-Sánchez, K.H., Ruiz-López, I.I., Rodríguez-Jiménez, G.C., Romero de la Vega, G. and García-Alvarado, M.A. (2021). Optimization of a coconut oil extraction process with supercritical CO2 considering economical and thermal variables. The Journal of Supercritical Fluids 170, 105160. https://doi.org/10.1016/j.supflu.2020.105160

Vargas-González, S., Núñez-Gómez, K.S., López-Sánchez, E., Tejero-Andrade, J.M., Ruiz-López, I.I. and García-Alvarado, M.A. (2021). Thermodynamic and mathematical analysis of modified Luikov’s equations for simultaneous heat and mass transfer. International Communications in Heat and Mass Transfer 120, 105003. https://doi.org/10.1016/j.icheatmasstransfer.2020.105003

Verduzco-Navarro, I.P., Jasso-Gastinel, C.F., Rios-Donato, N., Mendizábal, E. (2020a). Red dye 40 removal by fixed-bed columns packed with alginate-chitosan sulfate hydrogels. Revista Mexicana de Ingeniería Química 19, 1401-1411. https://doi.org/10.24275/rmiq/IA1123

Verduzco-Navarro, I.P., Rios-Donato, N., Jasso-Gastinel, C.F., Martínez-Gómez, A.d.J., Mendizábal, E. (2020b). Red dye 40 removal by fixed-bed columns packed with alginate-chitosan sulfate hydrogels. Polymers 12, 1401-1411. https://doi.org/10.3390/polym12102345

Villabona-Ortiz, A., Tejeda-Tovar, C.N. and Ortega-Toro, R. (2020). Modelling of the adsorption kinetics of chromium (VI) using waste biomaterials. Revista Mexicana de Ingeniería Química 19, 401-408. https://doi.org/10.24275/rmiq/IA650

Wang, Y., Wei, H., Wang, Y., Peng, C. and Dai, J. (2022). Chinese industrial water pollution and the prevention trends: An assessment based on environmental complaint reporting system (ECRS). Alexandria Engineering Journal 60, 5803-5812. https://doi.org/10.1016/j.aej.2021.04.015

Zhang, X. and Liu, Y. (2021). Concurrent removal of Cu(II), Co(II) and Ni(II) from wastewater by nanostructured layered sodium vanadosilicate: Competitive adsorption kinetics and mechanisms. Journal of Environmental Chemical Engineering 9, 105945. https://doi.org/10.1016/j.jece.2021.105945

Published
2022-09-17
How to Cite
Temoltzin-Lobatón, D., Estévez-Sánchez, K., Cruz-González, D., Ochoa-Velasco, C., & Ruiz-López, I. (2022). Analytical and hybrid-neuro-differential approaches for describing contaminant removal from aqueous systems. Revista Mexicana De Ingeniería Química, 21(3), IA2879. https://doi.org/10.24275/rmiq/IA2879
Section
Environmental Engineering