Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime

Contiene ilustraciones

Autores:: Castilla Caballero, Deyler Rafael
Martínez Castro, Valentina
Colina Márquez, Jose
Machuca Martínez, Fiderman
Medina Guerrero, Astrid

Tipo de recurso:

Fecha de publicación:: 2025

Institución:: Universidad Tecnológica de Bolívar

Repositorio:: Repositorio Institucional UTB

Idioma:: eng

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dc.title.none.fl_str_mv	Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime
title	Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime
spellingShingle	Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime 660 - Ingeniería química Fotocatalysis Photocatalytic reactor Modeling Falling-film photoreactor Solar radiation Phenol degradation Turbulent regime Reactores fotocatalíticos Fenómenos de transporte Fotocatálisis solar Reactores de película descendente Radiación solar Turbulencia (Dinámica de fluidos) Photocatalytic reactors Transport phenomena Solar photocatalysis Falling-film reactors Solar radiation Turbulence (Fluid dynamics) 2. Ingeniería y Tecnología ODS 6: Agua limpia y saneamiento. Garantizar la disponibilidad y la gestión sostenible del agua y el saneamiento para todos ODS 9: Industria, innovación e infraestructura. Construir infraestructuras resilientes, promover la industrialización inclusiva y sostenible y fomentar la innovación
title_short	Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime
title_full	Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime
title_fullStr	Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime
title_full_unstemmed	Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime
title_sort	Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime
dc.creator.fl_str_mv	Castilla Caballero, Deyler Rafael Martínez Castro, Valentina Colina Márquez, Jose Machuca Martínez, Fiderman Medina Guerrero, Astrid
dc.contributor.author.none.fl_str_mv	Castilla Caballero, Deyler Rafael Martínez Castro, Valentina Colina Márquez, Jose Machuca Martínez, Fiderman Medina Guerrero, Astrid
dc.contributor.researchgroup.none.fl_str_mv	Grupo de Investigación Sistemas Ambientales e Hidráulicos (GISAH)
dc.contributor.seedbeds.none.fl_str_mv	Semillero de Investigación en Reacciones y Procesos Fisicoquímicos para Remediación Ambiental
dc.subject.ddc.none.fl_str_mv	660 - Ingeniería química
topic	660 - Ingeniería química Fotocatalysis Photocatalytic reactor Modeling Falling-film photoreactor Solar radiation Phenol degradation Turbulent regime Reactores fotocatalíticos Fenómenos de transporte Fotocatálisis solar Reactores de película descendente Radiación solar Turbulencia (Dinámica de fluidos) Photocatalytic reactors Transport phenomena Solar photocatalysis Falling-film reactors Solar radiation Turbulence (Fluid dynamics) 2. Ingeniería y Tecnología ODS 6: Agua limpia y saneamiento. Garantizar la disponibilidad y la gestión sostenible del agua y el saneamiento para todos ODS 9: Industria, innovación e infraestructura. Construir infraestructuras resilientes, promover la industrialización inclusiva y sostenible y fomentar la innovación
dc.subject.proposal.none.fl_str_mv	Fotocatalysis Photocatalytic reactor Modeling Falling-film photoreactor Solar radiation Phenol degradation Turbulent regime
dc.subject.lemb.none.fl_str_mv	Reactores fotocatalíticos Fenómenos de transporte Fotocatálisis solar Reactores de película descendente Radiación solar Turbulencia (Dinámica de fluidos) Photocatalytic reactors Transport phenomena Solar photocatalysis Falling-film reactors Solar radiation Turbulence (Fluid dynamics)
dc.subject.ocde.none.fl_str_mv	2. Ingeniería y Tecnología
dc.subject.ods.none.fl_str_mv	ODS 6: Agua limpia y saneamiento. Garantizar la disponibilidad y la gestión sostenible del agua y el saneamiento para todos ODS 9: Industria, innovación e infraestructura. Construir infraestructuras resilientes, promover la industrialización inclusiva y sostenible y fomentar la innovación
description	Contiene ilustraciones
publishDate	2025
dc.date.accessioned.none.fl_str_mv	2025-09-17T20:36:02Z
dc.date.issued.none.fl_str_mv	2025-09-11
dc.date.available.none.fl_str_mv	2027-09-11
dc.type.none.fl_str_mv	Artículo de revista
dc.type.coar.fl_str_mv	http://purl.org/coar/resource_type/c_2df8fbb1
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dc.type.content.none.fl_str_mv	Text
dc.type.version.none.fl_str_mv	info:eu-repo/semantics/publishedVersion
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dc.identifier.citation.none.fl_str_mv	Castilla-Caballero, D., Martínez-Castro, V., Colina-Márquez, J., Machuca-Martínez, F., & Medina-Guerrero, A. (2025). Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime. Applied Catalysis A: General, 708, 120562. https://doi.org/10.1016/J.APCATA.2025.120562
dc.identifier.issn.none.fl_str_mv	1873-3875
dc.identifier.uri.none.fl_str_mv	https://hdl.handle.net/20.500.12585/14193
dc.identifier.doi.none.fl_str_mv	10.1016/J.APCATA.2025.120562
identifier_str_mv	Castilla-Caballero, D., Martínez-Castro, V., Colina-Márquez, J., Machuca-Martínez, F., & Medina-Guerrero, A. (2025). Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime. Applied Catalysis A: General, 708, 120562. https://doi.org/10.1016/J.APCATA.2025.120562 1873-3875 10.1016/J.APCATA.2025.120562
url	https://hdl.handle.net/20.500.12585/14193
dc.language.iso.none.fl_str_mv	eng
language	eng
dc.relation.references.none.fl_str_mv	X. Li et al. Chem. Catal. (2022) L. Wang et al. Environ. Res. (2025) R. Binjhade et al. J. Environ. Chem. Eng. (2022) Q. Wang et al. Chem. Eng. J. (2025) J. Yang et al. Green. Energy Environ. (2024) J.Q. Chen et al. Mol. Catal. (2025) M. Ahtasham Iqbal et al. Environ. Res. (2024) M. Hmoudah et al. J. Water Process Eng. (2025) B. Boga et al. J. Environ. Chem. Eng. (2024) I. Grčić et al. J. Environ. Chem. Eng. (2023) O. Samuel et al. J. Clean. Prod. (2023) S.M. Fouad et al. Case Stud. Chem. Environ. Eng. (2023) M. Muscetta et al. J. Environ. Chem. Eng. (2024) J. Colina-Marquez et al. Appl. Math. Model (2016) B. Stephan et al. Chem. Eng. J. (2011) R. Acosta-Herazo et al. Chem. Eng. J. (2019) M.A. Mueses et al. Chem. Eng. J. (2013) A. Cabrera Reina et al. Appl. Catal. B (2015) M. Díaz et al. J. Photochem. Photobiol. A Chem. (2009) R.R. Chowdhury et al. J. Photochem. Photobiol. A Chem. (2011) D. Olivo-Alanís et al. Appl. Catal. B (2022) M.A. Mueses et al. Chem. Eng. J. (2013) C. Nchikou et al. Chem. Eng. J. (2025) J. Moreno-SanSegundo et al. Chem. Eng. J. (2020) J.C.G. Da Silva et al. Chem. Eng. Res. Des. (2023) A. Yusuf et al. Chem. Eng. Sci. (2023) J.O.B. Lira et al. Chem. Eng. Process. Process. Intensif. (2020) A. Yusuf et al. Chem. Eng. Sci. (2021) G. Palmisano et al. Chem. Eng. J. (2015) H. Khorasanizadeh et al. Renew. Sustain. Energy Rev. (2016) J. Zeng et al. Chem. Eng. Sci. (2022) I. a Mudawwar et al. Int. J. Multiph. Flow. (1986) P.G. Kosky Int. J. Heat. Mass Transf. (1971) W. Ambrosini et al. Int. J. Multiph. Flow. (2002) E. Da Riva et al. Int. J. Heat. Mass Transf. (2012) C.S. Turchi et al. J. Catal. (1990) J. Marugán et al. Appl. Catal. B (2008) G. Li Puma et al. Appl. Catal. B (2010) C. Minero et al. Appl. Catal. B (2006) I. Prabha et al. Mater. Sci. Semicond. Process (2014) L.S. Lasdon et al. Comput. Chem. Eng. (1983) L.S. Lasdon et al. Comput. Chem. Eng. (1983) G. Palmisano et al. Chem. Eng. J. (2015) H. Ueda et al. Int. J. Heat. Mass Transf. (1977)
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dc.format.extent.none.fl_str_mv	1 página
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dc.coverage.temporal.none.fl_str_mv	Colombia, el mundo/2016-presente
dc.publisher.none.fl_str_mv	Applied Catalysis A: General
publisher.none.fl_str_mv	Applied Catalysis A: General
institution	Universidad Tecnológica de Bolívar
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spelling	Castilla Caballero, Deyler Rafaelvirtual::6662-1Martínez Castro, ValentinaColina Márquez, JoseMachuca Martínez, FidermanMedina Guerrero, AstridGrupo de Investigación Sistemas Ambientales e Hidráulicos (GISAH)Semillero de Investigación en Reacciones y Procesos Fisicoquímicos para Remediación AmbientalColombia, el mundo/2016-presente2025-09-17T20:36:02Z2027-09-112025-09-11Castilla-Caballero, D., Martínez-Castro, V., Colina-Márquez, J., Machuca-Martínez, F., & Medina-Guerrero, A. (2025). Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime. Applied Catalysis A: General, 708, 120562. https://doi.org/10.1016/J.APCATA.2025.1205621873-3875https://hdl.handle.net/20.500.12585/1419310.1016/J.APCATA.2025.120562Contiene ilustracionesPhotocatalytic reactor modeling has always been a complex duty involving several phenomena that must be described with powerful and accurate mathematical tools. Most efforts have been focused on simulating systems under controlled conditions and simplifying some models to obtain practical but reliable solutions. In this study, a falling-film solar pilotscale photoreactor operated in turbulent regime is modeled for phenol degradation using the Generalized Reduced Gradient (GRG) method embedded in the MS Excel® environment. A Visual Basic code was developed to integrate this function with the equations corresponding to the transport phenomena, photons' emission and absorption models, mass balance, and kinetic expressions. The simulations were carried out considering different catalyst loads and radiation intensities, obtaining results with satisfactory agreement with experimental data of a TiO2-based slurry falling-film photoreactor operating with solar radiation and under a turbulent regime (R2=0.84 – 0.99). The model fitting improved with the empirical adjustment of the LVRPA exponent, exhibiting the strong dependence of this parameter on the radiation intensity. These results demonstrated that reliable simulationscan be carried out by adapting different tools of low-cost software like MS Excel® for potential full-scale applications of a falling-film solar photoreactor.Highlights Abstract Graphical Abstract Keywords Nomenclature 1. Introduction 2. Mathematical model of the falling-film reactor 3. Materials and methods 4. Results and discussion 5. Conclusions CRediT authorship contribution statement Declaration of Competing Interest Acknowledgments Appendix A. Supplementary material Data availability ReferencesControl de la contaminación de los recursos (agua, aire y suelo)Sostenibilidad ambiental aplicadaEl artículo presenta el modelado matemático de reactores fotocatalíticos de película descendente operando en régimen turbulento. La determinación de los parámetros cinéticos se realizó con el método del Gradiente Reducido Generalizado, a través de la programación en Visual Basic vinculado a MS Excel.Software requerido: Visual Basic de MS Excel1 páginaapplication/pdfengApplied Catalysis A: General© 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/embargoedAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)http://purl.org/coar/access_right/c_f1cf660 - Ingeniería químicaFotocatalysisPhotocatalytic reactorModelingFalling-film photoreactorSolar radiationPhenol degradationTurbulent regimeReactores fotocatalíticosFenómenos de transporteFotocatálisis solarReactores de película descendenteRadiación solarTurbulencia (Dinámica de fluidos)Photocatalytic reactorsTransport phenomenaSolar photocatalysisFalling-film reactorsSolar radiationTurbulence (Fluid dynamics)2. Ingeniería y TecnologíaODS 6: Agua limpia y saneamiento. Garantizar la disponibilidad y la gestión sostenible del agua y el saneamiento para todosODS 9: Industria, innovación e infraestructura. Construir infraestructuras resilientes, promover la industrialización inclusiva y sostenible y fomentar la innovaciónIncorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regimeArtículo de revistainfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/redcol/resource_type/ARTTextinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85X. Li et al. Chem. Catal. (2022)L. Wang et al. Environ. Res. (2025)R. Binjhade et al. J. Environ. Chem. Eng. (2022)Q. Wang et al. Chem. Eng. J. (2025)J. Yang et al. Green. Energy Environ. (2024)J.Q. Chen et al. Mol. Catal. (2025)M. Ahtasham Iqbal et al. Environ. Res. (2024)M. Hmoudah et al. J. Water Process Eng. (2025)B. Boga et al. J. Environ. Chem. Eng. (2024)I. Grčić et al. J. Environ. Chem. Eng. (2023)O. Samuel et al. J. Clean. Prod. (2023)S.M. Fouad et al. Case Stud. Chem. Environ. Eng. (2023)M. Muscetta et al. J. Environ. Chem. Eng. (2024)J. Colina-Marquez et al. Appl. Math. Model (2016)B. Stephan et al. Chem. Eng. J. (2011)R. Acosta-Herazo et al. Chem. Eng. J. (2019)M.A. Mueses et al. Chem. Eng. J. (2013)A. Cabrera Reina et al. Appl. Catal. B (2015)M. Díaz et al. J. Photochem. Photobiol. A Chem. (2009)R.R. Chowdhury et al. J. Photochem. Photobiol. A Chem. (2011)D. Olivo-Alanís et al. Appl. Catal. B (2022)M.A. Mueses et al. Chem. Eng. J. (2013)C. Nchikou et al. Chem. Eng. J. (2025)J. Moreno-SanSegundo et al. Chem. Eng. J. (2020)J.C.G. Da Silva et al. Chem. Eng. Res. Des. (2023)A. Yusuf et al. Chem. Eng. Sci. (2023)J.O.B. Lira et al. Chem. Eng. Process. Process. Intensif. (2020)A. Yusuf et al. Chem. Eng. Sci. (2021)G. Palmisano et al. Chem. Eng. J. (2015)H. Khorasanizadeh et al. Renew. Sustain. Energy Rev. (2016)J. Zeng et al. Chem. Eng. Sci. (2022)I. a Mudawwar et al. Int. J. Multiph. Flow. (1986)P.G. Kosky Int. J. Heat. Mass Transf. (1971)W. Ambrosini et al. Int. J. Multiph. Flow. (2002)E. Da Riva et al. Int. J. Heat. Mass Transf. (2012)C.S. Turchi et al. J. Catal. (1990)J. Marugán et al. Appl. Catal. B (2008)G. Li Puma et al. Appl. Catal. B (2010)C. Minero et al. Appl. Catal. B (2006)I. Prabha et al. Mater. Sci. Semicond. Process (2014)L.S. Lasdon et al. Comput. Chem. Eng. (1983)L.S. Lasdon et al. Comput. Chem. Eng. (1983)G. Palmisano et al. Chem. Eng. J. (2015)H. Ueda et al. Int. J. Heat. Mass Transf. (1977)Comunidad académica, ciudadanía global.Publication5fbeba6b-d550-4278-a9d9-94814f362fe0virtual::6662-15fbeba6b-d550-4278-a9d9-94814f362fe0virtual::6662-1LICENSElicense.txtlicense.txttext/plain; charset=utf-814837https://repositorio.utb.edu.co/bitstreams/dab42cfb-3e8e-4cbf-ac28-e3964e4d94d9/downloadb76e7a76e24cf2f94b3ce0ae5ed275d0MD51falseAnonymousREADORIGINALTrabajo para repositorio_GRG method in falling film photocatalytic reactors.pdfTrabajo para repositorio_GRG method in falling film photocatalytic reactors.pdfapplication/pdf104469https://repositorio.utb.edu.co/bitstreams/04f92dfb-c3ba-493b-bdb6-e02ece9d08b5/download6b23b5a3d8bc049ad40087b5fbef0dfcMD52trueAnonymousREADTEXTTrabajo para repositorio_GRG method in falling film photocatalytic reactors.pdf.txtTrabajo para repositorio_GRG method in falling film photocatalytic reactors.pdf.txtExtracted texttext/plain2532https://repositorio.utb.edu.co/bitstreams/86824541-0ca8-4f14-b57f-e647c0536d59/downloadeebe790cdf4fc8582a38b904351cad10MD53falseAnonymousREADTHUMBNAILTrabajo para repositorio_GRG method in falling film photocatalytic reactors.pdf.jpgTrabajo para repositorio_GRG method in falling film photocatalytic reactors.pdf.jpgGenerated Thumbnailimage/jpeg12748https://repositorio.utb.edu.co/bitstreams/b0343282-cfdd-4fda-b123-99508b060215/download0dd7d1a8ba1d128fea26a8717492ba9cMD54falseAnonymousREAD20.500.12585/14193oai:repositorio.utb.edu.co:20.500.12585/141932025-09-18 03:00:23.121https://creativecommons.org/licenses/by-nc-nd/4.0/© 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.open.accesshttps://repositorio.utb.edu.coRepositorio Digital Universidad Tecnológica de 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

Incorporation of the GRG-optimization method in the design and simulation of solar falling-film slurry photocatalytic reactors operated under turbulent regime

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