## artigos científicos

##### Comparison of lumping methods to adaptive characterization in representing phase equilibria of hydrocarbon mixtures using PC-SAFT EOS.

OLIVEIRA, FELLIPE C. ; LAGE, PAULO L.C. ; COUTO, PAULO. Comparison of lumping methods to adaptive characterization in representing phase equilibria of hydrocarbon mixtures using PC-SAFT EOS. CHEMICAL ENGINEERING SCIENCE, v. 1, p. 119066, 2023.

##### Stochastic model of organizational state transitions in a turbulentpipeflow.

JÄCKEL, R. ; MAGACHO, B. ; OWOLABI, B. ; Moriconi, L. ; DENNIS, D. J. C. ; LOUREIRO, J. B. R. . Stochastic model of organizational state transitions in a turbulent pipe flow. Physical Review Fluids, v. 8, p. 01-13, 2023.

##### Modeling the reactive flow of semi-continuous mixtures by the adaptive characterization method.

ROCHA, Daniele C. ; Lage, Paulo L.C. . Modeling the reactive flow of semi-continuous mixtures by the adaptive characterization method. CHEMICAL ENGINEERING SCIENCE, v. 267, p. 118336, 2023.

##### Effects of pore size and pore connectivity on trapped gas saturation.

DIAS, CAROLINE H. ; ELER, FELIPE M. ; CORDEIRO, CARLOS ; RAMIREZ, MATEUS G. ; SOARES, JOSÉ A. ; NUNES, DENISE ; LIMA, MAIRA C.O. ; COUTO, PAULO . Effects of pore size and pore connectivity on trapped gas saturation. Journal Of Hydrology And Hydromechanics, v. 71, p. 11-21, 2023.

##### Double multiple-relaxation-time model of lattice-Boltzmann magnetohydrodynamics at low magnetic Reynolds numbers.

MAGACHO, B. ; TAVARES, H. S. ; Moriconi, L. ; LOUREIRO, J. B. R. . Double multiple-relaxation-time model of lattice-Boltzmann magnetohydrodynamics at low magnetic Reynolds numbers. PHYSICS OF FLUIDS, v. 35, p. 013610, 2023

##### Coherent organizational states in turbulent pipe flow at moderate Reynolds numbers.

JÄCKEL, R. ; MAGACHO, B. ; OWOLABI, B. E. ; MORICONI, L. ; DENNIS, D. J. C. ; LOUREIRO, J. B. R. . Coherent organizational states in turbulent pipe flow at moderate Reynolds numbers. PHYSICS OF FLUIDS, v. 35, p. 045127, 2023.

##### Integral Transforms with Single Domain Formulation for Transient Three-Dimensional Conjugated Heat Transfer.

SOUSA, A. H. ; Lisboa, K.M. ; C.P. NAVEIRA-COTTA ; COTTA, R. M. . Integral Transforms with Single Domain Formulation for Transient Three-Dimensional Conjugated Heat Transfer. HEAT TRANSFER ENGINEERING, v. 45, p. 1-26, 2023.

##### Unified Integral Transforms and Non-Classical Eigenvalue Problems in Heat and Mass Transfer.

Cotta, Renato M. ; Knupp, D.C. ; LISBOA, KLEBER ; NAVEIRA, C. P. ; QUARESMA, JOÃO NAZARENO NONATO ; SPHAIER, LEANDRO A . Unified Integral Transforms and Non-Classical Eigenvalue Problems in Heat and Mass Transfer. JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, v. 145, p. 010801-1, 2023.

##### Slug flows of gas and shear-thinning fluids in horizontal pipes.

BAUNGARTNER, R. ; GONÇALVES, G.F.N. ; Loureiro, J.B.R. ; Silva Freire, A.P.. Slug flows of gas and shear-thinning fluids in horizontal pipes. INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, v. 1, p. 104473, 2023.

##### Flow dynamics and mixing past pairs of confined microfluidic cylinders.

ZHANG, SHIGANG ; HAN, YUANG ; LACASSAGNE, TOM ; CAGNEY, NEIL ; NAVEIRA-COTTA, CAROLINA P. ; BALABANI, STAVROULA ; TIWARI, MANISH K. . Flow dynamics and mixing past pairs of confined microfluidic cylinders. CHEMICAL ENGINEERING SCIENCE, v. 267, p. 118349, 2023.

##### Integral Transform Solution of Porous Medium Models for Heat Sinks Subject to Periodic Heat Loads.

(LISBOA, KLEBER MARQUES ; PINHEIRO, ISABELA FLORINDO ; COTTA, RENATO MACHADO. Integral Transform Solution of Porous Medium Models for Heat Sinks Subject to Periodic Heat Loads. Journal of Heat Transfer, v. 145, p. 042701, 2023).

##### Integral Transforms with Single Domain Formulation for Transient Three-Dimensional Conjugated Heat Transfer.

(SOUSA, A. H. R. ; LISBÔA, K. M. ; Naveira-Cotta, Carolina P. ; Cotta, Renato M.. Integral Transforms with Single Domain Formulation for Transient Three-Dimensional Conjugated Heat Transfer. Heat Transfer Engineering, v. 145, p. 1-26, 2023).

##### Double multiple-relaxation-time model of lattice-Boltzmann magnetohydrodynamics at low magnetic Reynolds numbers.

(MAGACHO, B. ; TAVARES, H. S. ; MORICONI, L. ; LOUREIRO, J. B. R.. Double multiple-relaxation-time model of lattice-Boltzmann magnetohydrodynamics at low magnetic Reynolds numbers. PHYSICS OF FLUIDS, v. 35, p. 013610, 2023).

##### Modeling the reactive flow of semi-continuous mixtures by the adaptive characterization method.

(ROCHA, Daniele C. ; Lage, Paulo L.C. . Modeling the reactive flow of semi-continuous mixtures by the adaptive characterization method. CHEMICAL ENGINEERING SCIENCE, v. 267, p. 118336, 2023).

##### Statistics of extreme turbulent circulation events from multifractality breaking.

(MORICONI, L.; PEREIRA, R.M. . Statistics of extreme turbulent circulation events from multifractality breaking. PHYSICAL REVIEW E, v. 106, p. 054121, 2022).##### Impacts of Mineralogy on Rock Petrophysical and Hydraulic Properties.

(LIMA, M. C. O.; PONTEDEIRO, E. M. B. D.; RAMIREZ, M. G.; FAVORETO, J.; GENUCHTEN, M. T. V.; BORGHI, L.; COUTO, PAULO; RAOOF, A. . Impacts of Mineralogy on Rock Petrophysical and Hydraulic Properties. TRANSPORT IN POROUS MEDIA, v. 1, p. 1, 2022).##### The DuQMoGeM application to the numerical modeling of liquid-liquid columns.

(ATHMANI, KHALED ; LAGE, PAULO LARANJEIRA DA CUNHA ; HASSEINE, ABDELMALEK . The DuQMoGeM application to the numerical modeling of liquid-liquid columns. CHEMICAL ENGINEERING SCIENCE, v. 257, p. 117721, 2022).##### Eddy-viscous modeling and the topology of extreme circulation events in three-dimensional turbulence

(APOLINÁRIO, G.B. ; MORICONI, L**.**; PEREIRA, R.M. ; VALADÃO, V.J. . Eddy-viscous modeling and the topology of extreme circulation events in three-dimensional turbulence. PHYSICS LETTERS A, v. 449C, p. 128360, 2022).

##### Experimental study of gas-lift systems with inclined gas jets.

(GUERRA, L.A.O. ; TEMER, B.O. ; Loureiro, J.B.R. ; Silva Freire, A.P. . Experimental study of gas-lift systems with inclined gas jets. JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, v. 216, p. 110749, 2022).##### **Circulation Statistics and the Mutually Excluding Behavior of Turbulent Vortex Structures.**

(MORICONI, L.; PEREIRA, R. M. ; VALADÃO, V. J. . Circulation statistics and the mutually excluding behavior of turbulent vortex structures. PHYSICAL REVIEW E, v. 106, p. L023101, 2022).
##### Top-down model of calcium carbonate scale formation in turbulent pipe flows.

(MORICONI, L.; NASCIMENTO, T. ; DE SOUZA, B.G.B. ; LOUREIRO, J.B.R. . Top-down model of calcium carbonate scale formation in turbulent pipe flows. Thermal Science and Engineering Progress, v. 28, p. 101141, 2022).##### Effects of carbonated water injection on the pore system of a carbonate rock (coquina).

(SILVEIRA, T. M. G. ; HOERLLE, F. O. ; ROCHA, A. ; LIMA, M. C. O. ; RAMIREZ, M. G. ; PONTEDEIRO, E. M. B. D. ; GENUCHTEN, M. T. V. ; CRUZ, D. O. A. ; COUTO, PAULO. Effects of carbonated water injection on the pore system of a carbonate rock (coquina). Journal Of Hydrology And Hydromechanics, v. 2, p. 1-10, 2022).##### Experimental parametric analysis of biodiesel synthesis in microreactors using waste cooking oil (WCO) in ethilic route.

(PAIZ, SAXON ; COSTA JUNIOR, JOSÉ MARTIM ; PONTES, PÉRICLES CRISIRON ; DA C. G. DE CARVALHO, JULIANA DAMASCENO ; DE MORAES, DIEGO BUSSON ; DE SOUZA, CRISTIANE GIMENES ; NAVEIRA-COTTA, CAROLINA PALMA. Experimental parametric analysis of biodiesel synthesis in microreactors using waste cooking oil (WCO) in ethilic route. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 44, p. 179, 2022).##### Three-dimensional transient flow in heterogeneous reservoirs: Integral transform solution of a generalized point-source problem.

(PELISOLI, L. O. ; COTTA, R. M. ; CAROLINA P. NAVEIRA-COTTA ; COUTO, P. . Three-dimensional transient flow in heterogeneous reservoirs: Integral transform solution of a generalized point-source problem. JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, v. 211, p. 109976, 2022).##### The effects of swirl vanes and a vortex stabilizer on the dynamic flow field in a cyclonic separator.

##### Phenomenology of bubble breakup and coalescence in sudden expansions and contractions in vertical pipes.

(ROSERO, C.M.P. ; CELIS, G.E.O. ; Loureiro, J.B.R. ; Silva Freire,**A.P. Phenomenology of bubble breakup and coalescence in sudden expansions and contractions in vertical pipes. INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, v. 146, p. 103840, 2022.).**

##### Experimental and modeling studies of density and viscosity behavior of a live fluid due to CO 2 injection at reservoir condition.

(SANTOS, DAVID C.; LAMIM, MARINA N.; COSTA, DANIELA S.; MEHL, ANA; COUTO, PAULO; PAREDES, MÁRCIO L. L. . Experimental and modeling studies of density and viscosity behavior of a live fluid due to CO 2 injection at reservoir condition. Oil & Gas Science and Technology ¿ Revue d¿IFP Energies nouvelles, v. 76, p. 45, 2021).##### Pore-merging methodology for reactive transport and mineral dissolution in pore-network models.

(ESTEVES, BARBARA F.; LAGE, PAULO L.C.; COUTO, PAULO; KOVSCEK, ANTHONY R. . Pore-merging methodology for reactive transport and mineral dissolution in pore-network models. ADVANCES IN WATER RESOURCES, v. 155, p. 104014, 2021).##### Evaluation of capillary end effect in water-oil permeability tests using multiple flow rates technique.

(SANTOS, I. C. A. B. A.; ELER, F. M.; NUNES, D. S. S.; Couto, P.. EVALUATION OF CAPILLARY END EFFECT IN WATER-OIL PERMEABILITY TESTS USING MULTIPLE FLOW RATES TECHNIQUE. BRAZILIAN JOURNAL OF PETROLEUM AND GAS, v. 14, p. 259-267, 2021).##### Leveraging the entropy generation minimization and designed porous media for the optimization of heat sinks employed in low-grade waste heat harvesting.

(LISBOA, KLEBER MARQUES ; ZOTIN, JOSÉ LUIZ ZANON ; NAVEIRA-COTTA, CAROLINA P**.**; COTTA, RENATO MACHADO . Leveraging the entropy generation minimization and designed porous media for the optimization of heat sinks employed in low-grade waste heat harvesting. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, v. 181, p. 121850, 2021).

##### Engineering mechanobiology through organoids-on-chip: A strategy to boost therapeutics.

(CHARELLI, LETÍCIA E. ; FERREIRA, JOÃO P. D. ; NAVEIRA’COTTA, CAROLINA P**.**; BALBINO, TIAGO A. . Engineering mechanobiology through organoids-on-chip: A strategy to boost therapeutics. Journal of Tissue Engineering and Regenerative Medicine, v. 1, p. 1-10, 2021).

##### Improved Lumped Model for Freezing of a Supercooled Water Droplet.

(ANJOS, E. B. ; NAVEIRA-COTTA, CAROLINA P ; Tiwari, M. K. ; COTTA, RENATO M. ; CARVALHO, I. S. . Improved Lumped Model for Freezing of a Supercooled Water Droplet. JOURNAL OF ENGINEERING MATHEMATICS, v. 1, p. 1-10, 2021).##### Minimal surfaces unveiled from the statistics of turbulent circulation fluctuations.

(MORICONI, L.. Minimal surfaces unveiled from the statistics of turbulent circulation fluctuations. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, v. 118, p. e2117968118, 2021).##### Multifractality Breaking from Bounded Random Measures.

(MORICONI, L. Multifractality Breaking from Bounded Random Measures. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics (Online) (Cessou em 2000. Cont. ISSN 1550-2376 Physical, v. 103, p. 062137, 2021).##### Hydrodynamic decay of decorated quantum vortex rings.

(MORICONI, L.. Hydrodynamic decay of decorated quantum vortex rings. PHYSICS LETTERS, v. 404, p. 127409, 2021).##### Top-down model of calcium carbonate scale formation in turbulent pipe flows.

(Moriconi, L. ; NASCIMENTO, T. ; SOUZA, B.G. B. DE ; Loureiro, J.B.R. . Top-down model of calcium carbonate scale formation in turbulent pipe flows. Thermal Science and Engineering Progress, v. 21, p. 101141, 2021).##### Breakup and coalescence of large and small bubbles in sudden expansions and contractions in vertical pipes.

##### Approximation error model (AEM) approach with hybrid methods in the forward-inverse analysis of the transesterification reaction in 3D-microreactors.

(P.C. Pontes, J.M. Costa Junior, C. P. Naveira-Cotta & M. K. Tiwari. Inverse Problems in Science and Engineering, v. 1, p. 1-27, 2021).##### Hybrid integral transform analysis of supercooled droplets solidification.

(CARVALHO, I. S.; COTTA, R. M.; NAVEIRA-COTTA, CAROLINA P; Tiwari, M. K. Proceedings of The Royal Society A-Mathematical Physical and Engineering Sciences, v. 477, p. 1-10, 2021).##### Continuous-mode encapsulation of human stem cell spheroids using droplet-based glass-capillary microfluidic device for 3D bioprinting technology.

(MESQUITA, C. ; CHARELLI, L. ; BAPTISTA, L. ; NAVEIRA-COTTA, CAROLINA P ; BALBINO, T. A. Biochemical Engineering Journal, v. 174, p. 108122, 2021).##### Density of n-Heptane + n-Dodecane and Carbon Dioxide + n-Heptane + n-Dodecane Mixtures up to 70 MPa from (293.15 to 363.15) K.

(David C. Santos, Isaque S. Gonçalves, Ana Mehl, Paulo Couto, and Márcio L. L. Paredes. Density of n-Heptane + n-Dodecane and Carbon Dioxide + n-Heptane + n-Dodecane Mixtures up to 70 MPa from (293.15 to 363.15) K. Journal of Chemical & Engineering Data 2021, 66, 3, 1305-1318)##### A física estatística da turbulência.

##### Analysis of the membrane effects on the energy efficiency of water desalination in a direct contact membrane distillation (DCMD) system with heat recovery.

(Lisboa, Kleber M. ; MORAES, D. B. ; Naveira-Cotta, C.P**.**; COTTA, RENATO M. . Analysis of the membrane effects on the energy efficiency of water desalination in a direct contact membrane distillation (DCMD) system with heat recovery. APPLIED THERMAL ENGINEERING, v. 182, p. 116063, 2021).

##### Vortex gas modeling of turbulent circulation statistics

(G. B. Apolinário, L. Moriconi, R. M. Pereira and V. J. Valadã. Vortex gas modeling of turbulent circulation statistics. PHYSICAL REVIEW E 102, 041102(R) (2020)).##### Analyze of scanning electron microscope images using deep learning for calcium carbonate polymorph detection

(Caio Marcellos, Elvis do Amaral Soares, Danilo Naiff, Gustavo Pires, Fábio Ramos, Juliana Braga Rodrigues Loureiro, Amaro Gomes Barreto Jr..Analyze of scanning electron microscope images using deep learning for calcium carbonate polymorph detection. Rio Oil & Gas Expo And Conference, 2020. | ISSN 2525-7579 )##### **Magnetic dissipation of near-wall turbulent coherent structures in magnetohydrodynamic pipe flows**

(MORICONI, L.. Magnetic dissipation of near-wall turbulent coherent structures in magnetohydrodynamic pipe flows. PHYSICAL REVIEW E, v. 101, p. 043111, 2020.)
##### Breakup and coalescence of large and small bubbles in sudden expansions and contractions in vertical pipes

##### Shot noise multifractal model for turbulent pseudo-dissipation

(Gabriel B. Apolinário and Luca Moriconi. Shot noise multifractal model for turbulent pseudo-dissipation. Journal of Statistical Mechanics: Theory and Experiment. PAPER: Classical statistical mechanics, equilibrium and non-equilibrium. Online at stacks.iop.org/JSTAT/2020/073208).##### Transient three-dimensional heat conduction in heterogeneous media: Integral transforms and single domain formulation

(Anderson P. de Almeida, Carolina P. Naveira-Cottaa, Renato M. Cotta. Transient three-dimensional heat conduction in heterogeneous media: Integral transforms and single domain formulation. International Communications in Heat and Mass Transfer 117 (2020) 104792).##### Mathematical Parameters of the COVID-19 Epidemic in Brazil and Evaluation of the Impact of Different Public Health Measures

(Renato M. Cotta, Carolina P. Naveira-Cotta and Pierre Magal. Mathematical Parameters of the COVID-19 Epidemic in Brazil and Evaluation of the Impact of Different Public Health Measures. Biology 2020, 9, 220; doi:10.3390/biology9080220).##### Estimation of slip flow parameters in microscale conjugated heat transfer problems

(Géssica R. Silva, Diego C. Knupp, Carolina P. Naveira‑Cotta, Renato M. Cotta,Antônio J. Silva Neto. Estimation of slip flow parameters in microscale conjugated heat transfer problems. Journal of the Brazilian Society of Mechanical Sciences and Engineering (2020) 42:263).##### Integral transform analysis of radionuclide transport in variably saturated media using a physical non-equilibrium model: application to solid waste leaching at a uranium mining installation

(Renato M. Cotta, Carolina P. Naveira-Cotta, Martinus T. Van Genuchten, Jian Su & João N.N. Quaresma. Integral transform analysis of radionuclide transport in variably saturated media using a physical non-equilibrium model: application to solid waste leaching at a uranium mining installation. An Acad Bras Cienc (2020) 92(1): e20190427 DOI 10.1590/0001-3765202020190427.)##### Petrophysical Correlations for the Permeability of Coquinas (Carbonate Rocks)

(M. C. O. Lima, E. M. Pontedeiro, M. Ramirez, A. Boyd, M. Th. van Genuchten, L. Borghi, P. Couto, A. Raoof. Petrophysical Correlations for the Permeability of Coquinas (Carbonate Rocks). Transport in Porous Media (2020) 135:287–308 httpss://doi.org/10.1007/s11242-020-01474-1).##### Pore-network modeling of single-phase reactive transport and dissolution pattern evaluation

Barbara F. Esteves, Paulo L.C. Lage, Paulo Couto, Anthony R. Kovscek. Pore-network modeling of single-phase reactive transport and dissolution pattern evaluation. Advances in Water Resources 145 (2020) 103741).##### Wettability Alteration by Carbonated Brine Injection and Its Impact on Pore-Scale Multiphase Flow for Carbon Capture and Storage and Enhanced Oil Recovery in a Carbonate Reservoir

(Santiago Drexler, Fernanda Hoerlle,William Godoy, Austin Boyd and Paulo Couto. Wettability Alteration by Carbonated Brine Injection and Its Impact on Pore-Scale Multiphase Flow for Carbon Capture and Storage and Enhanced Oil Recovery in a Carbonate Reservoir. LRAP/COPPE, Universidade Federal do Rio de Janeiro, Rio de Janeiro 21941-594, Brazil, 2020).##### HYPROP measurements of the unsaturated hydraulic properties of a carbonate rock sample

(Tatiana Lipovetsky a, Luwen Zhuang, Wenceslau G. Teixeira, Austin Boyd, Elizabeth May Pontedeiro, Luca Moriconi, José L.D. Alves, Paulo Couto, Martinus Th. van Genuchten. HYPROP measurements of the unsaturated hydraulic properties of a carbonate rock sample. Journal of Hydrology 591 (2020) 125706).##### **Integral transform analysis of convective heat transfer within wavy walls channels**

##### **Estimation of Slip Flow Parameters in Micro-scale Conjugated Heat Transfer Problem**

(SILVA, G. R. ; KNUPP, D. C. ; Naveira-Cotta, Carolina P. ; Cotta, Renato M. ; SILVA NETO, A. J. . Estimation of Slip Flow Parameters in Micro-scale Conjugated Heat Transfer Problem. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 42, p. 1-16, 2020.)
##### **Effect of Mixed Convection on Laminar Vortex Breakdown in a Cylindrical Enclosure with a Rotating Bottom Plate**

(QUARESMA, J.N.N. ; CRUZ, C. ; CAGNEY, N. ; Cotta, Renato M. ; BALABANI, S. . Effect of Mixed Convection on Laminar Vortex Breakdown in a Cylindrical Enclosure with a Rotating Bottom Plate. INTERNATIONAL JOURNAL OF THERMAL SCIENCES, v. 156, p. 1-14, 2020.)
##### **Conjugate Heat Transfer: Analysis Via Integral Transforms and Eigenvalue Problems**

(KNUPP, D. C. ; Cotta, Renato M. ; Naveira-Cotta, Carolina P. . Conjugate Heat Transfer: Analysis Via Integral Transforms and Eigenvalue Problems. Journal of Engineering Physics and Thermophysics, p. 65-77, 2020.)
##### **The solution of continuous kinetic lumping models using the adaptive characterization method**

(ROCHA, Daniele C. ; Lage, Paulo L.C. . The solution of continuous kinetic lumping models using the adaptive characterization method. AICHE JOURNAL, v. 66, p. e16758, 2020.)
##### **Effect of CO2 on the dynamic and equilibrium interfacial tension between crude oil and formation brine for a deepwater Pre-salt field**

(DREXLER, S. G. ; CORREIA, E. L. ; JERDY, A. C. ; CAVADAS, L. A. ; COUTO, PAULO . Effect of CO2 on the dynamic and equilibrium interfacial tension between crude oil and formation brine for a deepwater Pre-salt field. JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, v. 190, p. 107095, 2020.)
##### **Hydrocylone for oil-water separations with high oil content: Comparison between CFD simulations and experimental data**

(ARAUJO, C. A. O. ; SCHEID, C. M. ; LOUREIRO, JULIANA B.R. ; KLEIN, T. S. ; MEDRONHO, R. A. . Hydrocylone for oil-water separations with high oil content: Comparison between CFD simulations and experimental data. JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, v. 187, p. 106788, 2020.)
##### **Conjugate Heat Transfer: Analysis Via Integral Transforms and Eigenvalue Problems**

(Knupp, D.C. ; COTTA, R. M. ; Naveira-Cotta, Carolina P**.**. Conjugate Heat Transfer: Analysis Via Integral Transforms and Eigenvalue Problems. Journal of Engineering Physics and Thermophysics, v. 93, p. 65-77, 2020.)