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23 pages, 1078 KiB  
Review
Chemical Modification Methods for Inulin- and Agavin-Type Fructans: Synthesis, Characterization, and Biofunctional Activity: A Review
by Dafne I. Díaz-Ramos, Maribel Jiménez-Fernández, Oscar García-Barradas, Rosa Isela Ortiz-Basurto and Benoit Fouconnier
Molecules 2025, 30(13), 2672; https://doi.org/10.3390/molecules30132672 - 20 Jun 2025
Viewed by 565
Abstract
Inulin and agavin fructans have been widely used in the food industry as fat substitutes, wall materials, and prebiotics, among other applications. Chemical modifications offer several advantages, from enhancing functional properties to broadening industrial applications, making them a key area of research in [...] Read more.
Inulin and agavin fructans have been widely used in the food industry as fat substitutes, wall materials, and prebiotics, among other applications. Chemical modifications offer several advantages, from enhancing functional properties to broadening industrial applications, making them a key area of research in biotechnology, nutrition, and food science. This review examines the chemical modifications of fructans, specifically the inulin and agavin types. It describes the most commonly used methods, their characteristics, and their impact on the physicochemical, functional, and prebiotic properties of fructans. Additionally, it explores the interactions underlying these changes. Modifications enhance, extend, or generate new biological properties and activities. While most yield positive outcomes, challenges remain, including a deeper understanding of the structure–bioactivity relationships and further toxicity assessments, particularly in agavins. These insights aim to guide future research and innovation in the field. Full article
(This article belongs to the Special Issue Chemistry of Food: From Molecules to Processing)
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16 pages, 5386 KiB  
Article
Evaluation of the Acoustic Noise Inside the Main Steam Line of a BWR/5 Nuclear Reactor
by Arturo Ocampo Ramirez, Luis Héctor Hernández Gómez, Alejandro Núñez Carrera, Alejandra Armenta Molina, Dayvis Fernández Valdés, Felipe Escalona Cambray and Marcos Adrián Guzmán Escalona
Appl. Sci. 2025, 15(7), 3974; https://doi.org/10.3390/app15073974 - 3 Apr 2025
Cited by 1 | Viewed by 440
Abstract
The pressure fluctuation and the acoustic power generated inside the main steam line (MSL) of a BWR nuclear power plant were estimated. For this purpose, a model with a scale of 1:8 (branch–main steam line ratio) was considered. A methodology with a low [...] Read more.
The pressure fluctuation and the acoustic power generated inside the main steam line (MSL) of a BWR nuclear power plant were estimated. For this purpose, a model with a scale of 1:8 (branch–main steam line ratio) was considered. A methodology with a low computational cost was proposed in this case. It is based on the fluid–structure interaction (one-way type), using computational fluid dynamics, the finite element method, and MATLAB R2023a code. It was possible to obtain the acoustic response generated inside the MSL for different operating conditions using these three tools. These results were used to develop a prediction model with a scale of 1:8. It was validated with experimental data. The frequency of the first mode of acoustic resonance was close to 195 Hz and the peak pressure was between 1590 Pa and 1568 Pa for the experimental and numerical models, respectively. For this case, the conditions were the original license thermal operating. Finally, the predictions of the results for the pressure in conditions of extended power uprate (110% and 120%) were 1890 Pa and 2240 Pa, respectively. Full article
(This article belongs to the Section Energy Science and Technology)
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18 pages, 5516 KiB  
Article
Performance Analysis of a Parabolic Trough Collector with Photovoltaic—Thermal Generation: Case Study and Parametric Study
by Benjamín Chavarría-Domínguez, Susana Estefany De León-Aldaco, Mario Ponce-Silva, Nicolás Velázquez-Limón, Jesús Armando Aguilar-Jiménez, Fernando Chavarría-Domínguez, Ernesto Raúl Rodríguez-García, Heriberto Adamas-Pérez, Ricardo Eliu Lozoya-Ponce and Eligio Flores-Rodriguez
Energies 2025, 18(2), 356; https://doi.org/10.3390/en18020356 - 15 Jan 2025
Viewed by 2175
Abstract
This study presents a mathematical model of a parabolic trough solar collector with photovoltaic cells integrated into its solar receiver. A case study is presented, utilizing meteorological data obtained from the localities of Cuernavaca and Mexicali in Mexico. The results demonstrate moderately variable [...] Read more.
This study presents a mathematical model of a parabolic trough solar collector with photovoltaic cells integrated into its solar receiver. A case study is presented, utilizing meteorological data obtained from the localities of Cuernavaca and Mexicali in Mexico. The results demonstrate moderately variable electrical and thermal energy production for Cuernavaca (387.93 kWh to 239.38 kWh and 1036.11 kWh to 641.26 kWh, respectively). In contrast, the production of electrical and thermal energy in Mexicali exhibited considerably greater fluctuations (515.16 kWh to 177.69 kWh and 1424.39 kWh to 448.88 kWh, respectively). Furthermore, a parametric study is presented, which analyzes the impact of solar receiver geometry and mass flow on the model’s behavior. The results demonstrate that the pipe length exerts the most significant influence on the electrical and thermal power output (1.21 kW to 2.22 kW and 3.7 kW to 6.9 kW, respectively). Additionally, the diameter has an impact on the thermal power output (5.23 kW to 7.1 kW) and the electrical and thermal efficiency (0.18 to 0.15 and 0.54 to 0.74, respectively). Modifying the mass flow facilitates the enhancement of electrical power and efficiency (1.54 kW to 1.72 kW and 0.16 to 0.18, respectively) while concurrently preventing a significant reduction in thermal power and efficiency (5.4 kW to 5.3 kW and 0.56 to 0.55, respectively). A script with the developed model is provided. Full article
(This article belongs to the Special Issue Renewable Energy Power Generation and Power Demand Side Management)
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11 pages, 2683 KiB  
Article
Increasing SBA-15 Amphoteric Properties by Direct Zr Addition During Synthesis
by Romeo Hernández, José Escobar, José G. Pacheco, José G. Torres, David S. García, Zenaida Guerra, Paz del Ángel, María C. Barrera and Durvel de la Cruz
Catalysts 2024, 14(12), 928; https://doi.org/10.3390/catal14120928 - 16 Dec 2024
Viewed by 1063
Abstract
Strategies followed to improve SBA-15 surface (essentially inert) included modifications by adding acidic or basic (or both) species during or after silica synthesis. Amphoteric properties are especially important, as some reactions (alcohol dehydration, for instance) require both types of sites to efficiently take [...] Read more.
Strategies followed to improve SBA-15 surface (essentially inert) included modifications by adding acidic or basic (or both) species during or after silica synthesis. Amphoteric properties are especially important, as some reactions (alcohol dehydration, for instance) require both types of sites to efficiently take place. In this work, single Zr (nominal 3, 5, and 10 wt%, as ZrOCl2•8H2O) direct addition during SBA-15 synthesis was used to impart amphoteric characteristics (as determined by NH3 and CO2 TPD) to mesostructured SiO2 matrices. Additional materials characterization included textural (N2 physisorption) and structural (XRD, FTIR, and UV–Vis spectroscopies, and HRTEM as well) studies. Actual solids composition was also determined (EDS). The degree of Zr incorporation into mesoporous silica was enhanced with nominal content in binary formulations, although not necessarily integrated into SBA-15 walls forming Zr-O-Si linkages. It seemed that single ZrO2 domains (framework and extra-framework) could provide suitable amphoteric properties by significantly increasing the number and strength of both acid and basic sites (especially formulations containing nominal 5 wt% Zr), as to those over mesostructured silica matrices. Also, potentially deleterious strong acid sites were avoided. The binary oxides present great potential to be applied in reactions requiring vicinal acid–base pairs (alcohol dehydration, for instance). Full article
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15 pages, 2495 KiB  
Article
Synthesis Characterization and Physicochemical Properties of Rigid Alicyclic Polyimide Films Based on Bicyclo[2.2.2]oct-7-ene-2,3,5,6-tetracarboxylic Dianhydride
by José Manuel Pérez-Francisco, Carla Aguilar-Lugo, Larissa Alexandrova, María O. Gonzalez-Diaz, Rita Sulub-Sulub, María Isabel Loría-Bastarrachea and Manuel Aguilar-Vega
Polymers 2024, 16(22), 3188; https://doi.org/10.3390/polym16223188 - 16 Nov 2024
Viewed by 1594
Abstract
Four polyimides based on bicyclo[2.2.2]oct-7-ene-2,3,5,6-tetracarboxylic dianhydride (BTD), BTD-MIMA, BTD-HFA, BTD-FND, and BTD-TPM, with different rigid substituted diamines were synthesized. The chemical structure of the polyimides was corroborated by 1H NMR spectroscopy. These polyimides were soluble in organic solvents and presented molecular [...] Read more.
Four polyimides based on bicyclo[2.2.2]oct-7-ene-2,3,5,6-tetracarboxylic dianhydride (BTD), BTD-MIMA, BTD-HFA, BTD-FND, and BTD-TPM, with different rigid substituted diamines were synthesized. The chemical structure of the polyimides was corroborated by 1H NMR spectroscopy. These polyimides were soluble in organic solvents and presented molecular weights (Mn) between 39 and 70 KDa. BTD-MIMA, BTD-HFA, BTD-FND, and BTD-TPM showed thermal stability above 400 °C. These polyimides also presented high glass transition temperatures between 272 and 355 °C. The alicyclic moiety increased solubility compared with other rigid polyimides. Membrane films from BTD-MIMA and BTD-HFA exhibited the highest gas permeability compared to BTD-FND and BTD-TPM. The introduction of ortho-substituents in BTD-MIMA or bulky –CF3 groups in BTD-HFA, in combination with the alicyclic dianhydride fragment, prevented chain packing and enhanced macromolecular chain rigidity. In turn, there was a shift toward higher gas permeability coefficients for BTD-MIMA and BTD-HFA, with a moderate loss of CO2/N2 and CO2/CH4 selectivity, and they presented similar selectivities to those of other reported polyimides with alicyclic BTD moieties containing asymmetric fragments. Full article
(This article belongs to the Special Issue Polymer Thin Films and Their Applications)
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16 pages, 3662 KiB  
Article
Synthesis and Characterization of SiO2 Nanoparticles for Application as Nanoadsorbent to Clean Wastewater
by Nora Elizondo-Villarreal, Eleazar Gandara-Martínez, Manuel García-Méndez, Miguel Gracia-Pinilla, Ana María Guzmán-Hernández, Víctor M. Castaño and Cristian Gómez-Rodríguez
Coatings 2024, 14(7), 919; https://doi.org/10.3390/coatings14070919 - 22 Jul 2024
Cited by 8 | Viewed by 5222
Abstract
By way of the sol–gel chemical synthesis method, it is possible to synthesize SiO2 nanoparticles with a defined specific particle size, a surface area, and a defined crystal structure that can be effectively used as a nanoadsorbent to remove various organic dyes. [...] Read more.
By way of the sol–gel chemical synthesis method, it is possible to synthesize SiO2 nanoparticles with a defined specific particle size, a surface area, and a defined crystal structure that can be effectively used as a nanoadsorbent to remove various organic dyes. SiO2 nanoparticles were synthesized by the sol–gel method using sodium silicate (Na2SiO3) by a green method without using a tetraethyl orthosilicate (TEOS) precursor, which is very expensive and highly toxic. This sol–gel process involves the formation of a colloidal suspension (sol) and solid gelation to form a network in a continuous liquid phase (gel). In addition, it requires controlled atmospheres. XRD indicates the presence of an amorphous phase with a diffraction angle of 2θ = 23°, associated with SiO2. UV-Vis spectroscopy reveals an absorbance value in the region of 200 nm to 300 nm, associated with SiO2 nanoparticles. The application as a nanoadsorbent to remove dyes was measured, and it was found that the nanoparticles with the best performance were those that were synthesized with pH 7, showing a 97% removal with 20 mg of SiO2 nanoparticles in 60 min. Therefore, SiO2 nanoparticles can be used as a nanoadsorbent, using a low-cost and scalable method for application to remove methylene blue in an aqueous medium. Full article
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13 pages, 2259 KiB  
Article
La-Modified SBA-15 Prepared by Direct Synthesis: Importance of Determining Actual Composition
by Gloribel Morales Hernández, José Escobar, José G. Pacheco Sosa, Mario A. Guzmán Cruz, José G. Torres Torres, Paz del Ángel Vicente, María C. Barrera, Carlos E. Santolalla Vargas and Hermicenda Pérez Vidal
Catalysts 2024, 14(7), 436; https://doi.org/10.3390/catal14070436 - 8 Jul 2024
Cited by 2 | Viewed by 1305
Abstract
Lanthanum (La) integration (at various nominal contents) in SBA-15 prepared under acidic medium was intended from corresponding direct nitrate addition during mesoporous silica formation. Materials were impregnated with Pt (1.5 wt%) and studied through several textural (N2 physisorption), structural (XRD, TG-DTG), and [...] Read more.
Lanthanum (La) integration (at various nominal contents) in SBA-15 prepared under acidic medium was intended from corresponding direct nitrate addition during mesoporous silica formation. Materials were impregnated with Pt (1.5 wt%) and studied through several textural (N2 physisorption), structural (XRD, TG-DTG), and surface (FTIR, STEM-HAADF, SEM-EDS, NH3, and CO2 TPD) instrumental techniques. Pt-impregnated solids were tested in phenol hydrodeoxygenation (HDO, T = 250 °C, 3.2 MPa, batch reactor, n-decane as solvent). Catalytic activity (in pseudo-first-order kinetic constant, kHDO basis) was not directly related to Pt dispersion, which was not determined by nominal rare earth content. Determining the actual composition of modified SBA-15 materials is crucial in reaching sound conclusions regarding their physicochemical properties, especially when La modifier is directly added during mesoporous matrix formation, where efficient interaction among constituents could be difficult to get. Otherwise, results from some characterization techniques (N2 physisorption and FTIR, for instance) could be misleading and even contradictory. Indeed, extant modifier precursors, when under SBA-15 synthesis conditions, could affect the properties of prepared materials even though they were absent in obtained formulations. Performing simple compositional analysis could eliminate uncertainties regarding the role of various modifiers on characteristics of final catalysts. However, several groups have failed in doing so. Full article
(This article belongs to the Section Catalytic Materials)
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32 pages, 10240 KiB  
Review
A Review of the Modeling of Parabolic Trough Solar Collectors Coupled to Solar Receivers with Photovoltaic/Thermal Generation
by Benjamín Chavarría-Domínguez, Susana Estefany De León-Aldaco, Nicolás Velázquez-Limón, Mario Ponce-Silva, Jesús Armando Aguilar-Jiménez and Fernando Chavarría-Domínguez
Energies 2024, 17(7), 1582; https://doi.org/10.3390/en17071582 - 26 Mar 2024
Cited by 6 | Viewed by 3037
Abstract
This paper is a summary of the last ten years of work on the study of parabolic trough collectors (PTCs) and compound parabolic collectors (CPCs) coupled to photovoltaic and thermal solar receiver collectors (SCR-PVTs). While reviewing the state of the art, numerous review [...] Read more.
This paper is a summary of the last ten years of work on the study of parabolic trough collectors (PTCs) and compound parabolic collectors (CPCs) coupled to photovoltaic and thermal solar receiver collectors (SCR-PVTs). While reviewing the state of the art, numerous review papers were found that focused on conventional solar receiver collector (SRC) technology for solar thermal generation. However, there is a lack of review papers summarizing SRC-PVT hybrid technology for solar electric/thermal generation, which would be beneficial for researchers interested in this area of research. This paper provides a review of SRC-PVT hybrid technologies. The theoretical foundations for analyzing and modeling PTC and CPC concentrators coupled to SRC-PVT are described, with an emphasis on modeling through thermal resistances and energy balances. Additionally, this section provides a concise overview of previous studies that have addressed the modeling of PTC and CPC collectors coupled to SCR-PVT, as well as experimental information useful for the validation of new mathematical models of SRC-PVT. Full article
(This article belongs to the Special Issue Optical Electronics and Solar Energy Technologies)
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16 pages, 3019 KiB  
Article
Parametric Mathematical Model of the Electrochemical Degradation of 2-Chlorophenol in a Flow-by Reactor under Batch Recirculation Mode
by Alejandro Regalado-Méndez, Guadalupe Ramos-Hernández, Reyna Natividad, Mario E. Cordero, Luis Zárate, Edson E. Robles-Gómez, Hugo Pérez-Pastenes and Ever Peralta-Reyes
Water 2023, 15(24), 4276; https://doi.org/10.3390/w15244276 - 14 Dec 2023
Cited by 2 | Viewed by 1979
Abstract
2-Chlorophenol (2-CP) is a dangerous organic contaminant found in wastewater. In this work, 2.5 L of a 2-CP solution (1 mol/m3) was electrochemically treated in a flow-by reactor equipped with two boron-doped diamond electrodes (BDD) under batch recirculation mode for a [...] Read more.
2-Chlorophenol (2-CP) is a dangerous organic contaminant found in wastewater. In this work, 2.5 L of a 2-CP solution (1 mol/m3) was electrochemically treated in a flow-by reactor equipped with two boron-doped diamond electrodes (BDD) under batch recirculation mode for a period for 4 h, a current density of 0.14 A/cm2, a volumetric flow rate of 1 L/min, and pH = 7.3. In this work, a parametric mathematical model of the degradation efficiency of 2-CP was developed using an axial dispersion model and a continuous stirred tank for the flow-by reactor (FBR), which was constructed using a shell mass balance considering the dispersion and convection terms and the reservoir tank (CST), which was constructed using a mass balance of 2-CP. The parametric mathematic model of the electrochemical degradation of 2-chlorophenol was numerically resolved by employing the software package COMSOL Multiphysics® V. 5.3, where a mass transfer equation for diluted species and a global differential equation represents the FBR and CST, respectively. The results indicate that the parametric mathematical model proposed in this research fits the experimental results, and this is supported by the index performance values such as the determination coefficient (R2 = 0.9831), the mean square error (MSE = 0.0307), and the reduced root-mean-square error (RMSE = 0.1754). Moreover, the degradation efficiency of 2-CP estimated by the proposed model achieves 99.06%, whereas the experimental degradation efficiency reached 99.99%, a comparative error of 0.93%. This corroborates the predictive ability of the developed mathematical model and the effectiveness of the employed electrooxidation process. Finally, a 0.143 USD/L total operating cost for the electrochemical plant was estimated. Full article
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12 pages, 3967 KiB  
Communication
Synthesis and Characterization of Bi4Ti3O12 Nanoparticles Obtained via Pulsed Laser Ablation in Liquids
by Linda Viviana García-Quiñonez, Dario Colorado-Garrido, Adolfo Collado-Hernández, Daniel Arturo Acuña-Leal, Guadalupe Alan Castillo-Rodríguez, Daniel Fernández-González, Eduardo Martínez-Guerra, María Isabel Mendívil-Palma and Cristian Gomez-Rodríguez
Materials 2023, 16(23), 7451; https://doi.org/10.3390/ma16237451 - 30 Nov 2023
Cited by 2 | Viewed by 1704
Abstract
Bismuth titanate (BTO) nanoparticles were obtained by pulsed laser ablation in liquid media (PLAL). Distilled water, ethanol, isopropanol, and acetone were used as media for laser ablation experiments, in which the colloidal solutions were obtained. Laser ablation was carried out using the second [...] Read more.
Bismuth titanate (BTO) nanoparticles were obtained by pulsed laser ablation in liquid media (PLAL). Distilled water, ethanol, isopropanol, and acetone were used as media for laser ablation experiments, in which the colloidal solutions were obtained. Laser ablation was carried out using the second harmonic and fundamental wavelength of a pulsed Nd:YAG laser (532 nm and 1064 nm, respectively) with laser fluences of 25 and 12 mJ/cm2, respectively. Transmission electron microscopy was utilized for morphological characterization. BTO nanoparticles obtained have spherical shapes with orthorhombic structure and the average size distribution depended on the liquid media nature. In alcohols, BTO NPs were spherical with a carbon layer around them. X-ray diffraction, UV-Vis absorption spectra, and X-ray photoelectron spectroscopy were used to confirm the structural, optical, and elemental properties of the ablated products. The presented results show that PLAL is a viable technique for the synthesis of high-quality BTO nanoparticles with enhanced optical properties for possible applications in photocatalysis. Full article
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18 pages, 6138 KiB  
Article
Photocatalytic Degradation of Methylene Blue by Magnetic Opal/Fe3O4 Colloidal Crystals under Visible Light Irradiation
by Abraham Jorge Carmona-Carmona, Enrique Sánchez Mora, Jesús Ivan Peña Flores, César Márquez-Beltrán, María Dolores Castañeda-Antonio, Marlén Alexis González-Reyna, María Concepción Barrera, Khashayar Misaghian, Jesús Eduardo Lugo and Miller Toledo-Solano
Photochem 2023, 3(4), 390-407; https://doi.org/10.3390/photochem3040024 - 8 Oct 2023
Cited by 7 | Viewed by 3137
Abstract
In this study, opal–magnetite photocatalysts based on SiO2 artificial opal crystals infiltrated with different concentrations of Fe3O4 nanoparticles (NPs) were synthesized using a combination of lateral infiltration and co-assembly methods. By adjusting the concentration of Fe3O4 [...] Read more.
In this study, opal–magnetite photocatalysts based on SiO2 artificial opal crystals infiltrated with different concentrations of Fe3O4 nanoparticles (NPs) were synthesized using a combination of lateral infiltration and co-assembly methods. By adjusting the concentration of Fe3O4 NPs in the SiO2 opal crystal, the energy band gap (Eg) was tuned to enable efficient degradation of methylene blue (MB) under visible light (410 nm and 575 nm). The photocatalytic process involved two stages: MB adsorption on the surface due to charge differences in the composite film and subsequent degradation through oxidative radicals on the catalyst’s surface. The developed material exhibited potential for applications in water remediation. Full article
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24 pages, 5396 KiB  
Article
Microstructural and Mechanical Characteristics of Alkali-Activated Binders Composed of Milled Fly Ash and Granulated Blast Furnace Slag with µ-Limestone Addition
by Francisco Vázquez-Rodríguez, Nora Elizondo, Myriam Montes-González, Cristian Gómez-Rodríguez, Yadira González-Carranza, Ana M. Guzmán and Edén A. Rodríguez
Materials 2023, 16(10), 3818; https://doi.org/10.3390/ma16103818 - 18 May 2023
Cited by 13 | Viewed by 2813
Abstract
Concrete is the most used construction material, needing large quantities of Portland cement. Unfortunately, Ordinary Portland Cement production is one of the main generators of CO2, which pollutes the atmosphere. Today, geopolymers are an emerging building material generated by the chemical [...] Read more.
Concrete is the most used construction material, needing large quantities of Portland cement. Unfortunately, Ordinary Portland Cement production is one of the main generators of CO2, which pollutes the atmosphere. Today, geopolymers are an emerging building material generated by the chemical activity of inorganic molecules without the Portland Cement addition. The most common alternative cementitious agents used in the cement industry are blast-furnace slag and fly ash. In the present work, the effect of 5 wt.% µ-limestone in mixtures of granulated blast-furnace slag and fly ash activated with sodium hydroxide (NaOH) at different concentrations was studied to evaluate the physical properties in the fresh and hardened states. The effect of µ-limestone was explored through XRD, SEM-EDS, atomic absorption, etc. The addition of µ-limestone increased the compressive strength reported values from 20 to 45 MPa at 28 days. It was found by atomic absorption that the CaCO3 of the μ-limestone dissolved in NaOH, precipitating Ca(OH)2 as the reaction product. SEM-EDS analysis showed a chemical interaction between C-A-S-H- and N-A-S-H-type gels with Ca(OH)2, forming (N, C)A-S-H- and C-(N)-A-S-H-type gels, improving mechanical performance and microstructural properties. The addition of μ-limestone appeared like a promising and cheap alternative for enhancing the properties of low-molarity alkaline cement since it helped exceed the 20 MPa strength recommended by current regulations for conventional cement. Full article
(This article belongs to the Special Issue Advanced Cement and Concrete Composites - Volume 2)
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22 pages, 484 KiB  
Article
Robust Statistic Estimation in Constrained Optimal Control Problems of Pollution Accumulation (Part II: Markovian Switchings)
by Beatris Adriana Escobedo-Trujillo, José Daniel López-Barrientos, Carmen Geraldi Higuera-Chan and Francisco Alejandro Alaffita-Hernández
Mathematics 2023, 11(4), 1045; https://doi.org/10.3390/math11041045 - 18 Feb 2023
Cited by 3 | Viewed by 2095
Abstract
This piece is a follow-up of the research started by the authors on the constrained optimal control problem applied to pollution accumulation. We consider a dynamic system governed by a diffusion process with multiple modes that depends on an unknown parameter. We will [...] Read more.
This piece is a follow-up of the research started by the authors on the constrained optimal control problem applied to pollution accumulation. We consider a dynamic system governed by a diffusion process with multiple modes that depends on an unknown parameter. We will study the components of the model and their restrictions and propose a scheme to solve the problem in which it is possible to determine (adaptive) policies that maximize a suitable discounted reward criterion using standard dynamic programming techniques in combination with discrete estimation methods for the unknown parameter. Finally, we develop a numerical example to illustrate our results with a particular case of the method of minimum least square error approximation. Full article
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19 pages, 622 KiB  
Article
Robust Statistic Estimation of Constrained Optimal Control Problems of Pollution Accumulation (Part I)
by Beatris Adriana Escobedo-Trujillo, José Daniel López-Barrientos, Carmen Geraldi Higuera-Chan and Francisco Alejandro Alaffita-Hernández
Mathematics 2023, 11(4), 923; https://doi.org/10.3390/math11040923 - 11 Feb 2023
Cited by 5 | Viewed by 2909
Abstract
In this paper, we study a constrained optimal control on pollution accumulation where the dynamic system was governed by a diffusion process that depends on unknown parameters, which need to be estimated. As the true values are unknown, we intended to determine (adaptive) [...] Read more.
In this paper, we study a constrained optimal control on pollution accumulation where the dynamic system was governed by a diffusion process that depends on unknown parameters, which need to be estimated. As the true values are unknown, we intended to determine (adaptive) policies that maximize a discounted reward criterion with constraints, that is, we used Lagrange multipliers to find optimal (adaptive) policies for the unconstrained version of the optimal control problem. In the present context, the dynamic system evolves as a diffusion process, and the cost function is to be minimized by another function (typically a constant), which plays the role of a constraint in the control model. We offer solutions to this problem using standard dynamic programming tools under the constrained discounted payoff criterion on an infinite horizon and the so-called principle of estimation and control. We used maximum likelihood estimators by means of a minimum least square error approximation in a pollution accumulation model to illustrate our results. One of the advantages of our approach compared to others is the intuition behind it: find optimal policies for an estimated version of the problem and let this estimation tend toward the real version of the problem. However, most risk analysts will not be as used to our methods as they are to, for instance, the model predictive control, MATLAB’s robust control toolbox, or the polynomial chaos expansion method, which have been used in the literature to address similar issues. Full article
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17 pages, 2024 KiB  
Article
The Application of Circular Footprint Formula in Bioenergy/Bioeconomy: Challenges, Case Study, and Comparison with Life Cycle Assessment Allocation Methods
by Antonio Carlos Farrapo, Thiago Teixeira Matheus, Ricardo Musule Lagunes, Remo Filleti, Fabio Yamaji and Diogo Aparecido Lopes Silva
Sustainability 2023, 15(3), 2339; https://doi.org/10.3390/su15032339 - 27 Jan 2023
Cited by 14 | Viewed by 4740
Abstract
Allocation methodological choices in Life Cycle Assessment (LCA) is a relevant issue for the Circular Bioeconomy context. The recent Product Environmental Footprint Guide from the European Commission includes the Circular Footprint Formula (CFF) as a new way to deal with energy recovery/recycling processes. [...] Read more.
Allocation methodological choices in Life Cycle Assessment (LCA) is a relevant issue for the Circular Bioeconomy context. The recent Product Environmental Footprint Guide from the European Commission includes the Circular Footprint Formula (CFF) as a new way to deal with energy recovery/recycling processes. This paper investigated CFF vs. other different LCA allocation methods in Brazilian briquette production. A cradle-to-gate LCA study was conducted considering 1 MJ of energy from recovered and dedicated Eucalyptus briquette production. Global Warming Potential (GWP) and Cumulative Energy Demand (CED) were selected as the impact categories to evaluate the allocation methods choice that influences the potential impacts. LCA results were compared regarding four allocation methods. Eucalyptus wood as a biomass supply scenario achieved impact results up to 4.3 kg CO2-eq. for GWP and 0.0272 MJ-eq. for CED. The recovery wood scenario presented LCA burdens reduction by up to 206% for GWP, however a 492% increase in the CED results. CFF provided the lowest results for both impact categories. However, the CFF method still doesn’t address particular aspects of circular bioenergy systems. Biomass and bioenergy LCA require further adjustments focusing on biochemical flows in the CFF calculation procedure to lead the development of innovative circular business models. Full article
(This article belongs to the Special Issue Circular Business Model Innovation for a Circular Bioeconomy)
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