Green Matrix Research Articles

Almost Periodic Solutions of Differential Equations with Generalized Piecewise Constant Delay

In this paper, we investigate differential equations with generalized piecewise constant delay, DEGPCD in short, and establish the existence and stability of a unique almost periodic solution that is exponentially stable. Our results are derived by utilizing the properties of the (μ1,μ2)-exponential dichotomy, Cauchy and Green matrices, a Gronwall-type inequality for DEGPCD, and the Banach fixed point theorem. We apply these findings to derive new criteria for the existence, uniqueness, and convergence dynamics of almost periodic solutions in both the linear inhomogeneous and quasilinear DEGPCD systems through the (μ1,μ2)-exponential dichotomy for difference equations. These results are novel and serve to recover, extend, and improve upon recent research.

Mangrove tree aerial root extract mediated green synthesis of Ag/Fe3O4/rGO nanocomposite and its application as a catalyst for one potsynthesis of 7-phenyl-6H,7H-benzo[4,5]imidazo[2,1-b]chromeno[4,3-d][1,3]thiazin-6-one derivatives.

In this study, we report the green preparation of magnetically separable Ag/Fe3O4/rGO nanocomposites using mangrove tree aerial root extract as a stabilising agent. The morphology, size, chemical composition, magnetic property and other characteristic parameters of synthesised Ag/Fe3O4/rGO nanocomposite were determined by analytical techniques like Fourier-transform infrared spectroscopy (FT-IR), X-ray diffraction (XRD), energy-dispersive X-ray spectroscopy (EDX), scanning electron microscopy (SEM),transmission electron microscopy (TEM) and vibrating sample magnetometer (VSM). The results proved that mangrove tree aerial root extract has the ability to reduce Ag+ ions, graphene oxide (GO) to Ag nanoparticle and reduced graphene oxide (rGO), respectively. The prepared Ag/Fe3O4/rGO nanocomposite was used successfully as a prompt catalyst for synthesis of 7-phenyl-6H,7H-benzo[4,5]imidazo[2,1-b]chromeno[4,3-d][1,3]thiazin-6-one derivatives by one-pot multi-component reaction of 4-hydroxycoumarin (10mmol), 2-mercaptobenzimidazole (10mmol) and different arylaldehyde (10mmol) in the presence of ethanol (10ml) as an eco-benign solvent at reflux condition. By utilising this protocol, we have constructed 7-phenyl-6H,7H-benzo[4,5]imidazo[2,1-b]chromeno[4,3-d][1,3]thiazin-6-one derivatives in good to excellent yield of 80-90%. This synthesis involves the formation of C-C, C-N and C-S bonds. The synthesised organic heterocyclic compounds were examined for the green matrix properties such as atom economy (AE), E-factor and product mass intensity (PMI). This green protocol is of big interest due to employing simple, non-toxic heterogeneous, separable, reusable Ag/Fe3O4/rGO as an eco-safe heterogeneous catalyst and environmentally benign ethanol as a green solvent without the use of any harmful mineral acid and toxic transition metal catalyst.

The subaqueous felsic volcanism from the Upper Member of the Cordón de Lila Complex, Antofagasta region, northern Chile

This contribution presents the study of an Ordovician subaqueous felsic succession, formed by the ~400 m-thick Upper Member of the Cordón de Lila Complex (CISL), northern Chile. From bottom to top, the succession starts with two dacitic sills that intruded into the sediments of the lowermost part of the Upper Member. Then, it is followed by a thick sedimentary deposit, two rhyolitic lavas, a volcanoclastic felsic breccia with pyroclastic clasts, and ends with a red rhyolitic lava. The first rhyolitic lava shows centimetric to metric folds with a north-northwestern vergence, evidence of flow in that direction. In the volcanoclastic breccia, an abundant pumice-and-fiamme-rich green matrix wraps around lithic clasts, giving the rock an eutaxitic texture at the outcrop scale. This matrix and texture evidence is characteristic of hot pyroclastic flows deposited under subaqueous conditions. The described section of the breccia is formed by four coarsening-up sequences, reflecting respectively four pulses of building up energy. The lack of internal erosional features points to a single and continuous explosive eruption. An accidental granite clast in the upper part of the breccia suggests a connection with a granitic body, possibly the Pingo-Pingo monzogranite. The geochemical character of the felsic succession is calc-alkaline. The tectonic setting diagram shows a within-plate setting for the succession. This suggests a shift from the arc position inferred for the Lower Member of the CISL to a forearc continental setting for the Upper Member of the CISL.

Thermal, mechanical, and morphological properties of oil palm cellulose nanofibril reinforced green epoxy nanocomposites

In this study, significant improvements in mechanical properties have been seen through the efficient inclusion of Oil Palm Cellulose Nanofibrils (CNF) as nano-fillers into green polymer matrices produced from biomass with a 28 % carbon content. The goal of the research was to make green epoxy nanocomposites utilizing solution blending process with acetone as the solvent with the different CNF loadings (0.1, 0.25, and 0.5 wt%). An ultrasonic bath was used in conjunction with mechanical stirring to guarantee that CNF was effectively dispersed throughout the green epoxy. The resultant nanocomposites underwent thorough evaluation, comparing them to unfilled green epoxy and evaluating their morphological, mechanical, and thermal behavior using a variety of instruments. Field-emission scanning electron microscopy (FE-SEM) was used to validate findings, which showed that the CNF were dispersed optimally inside the nanocomposites. The thermal degradation temperature (Td) of the nanocomposites showed a marginal decrement of 0.8 % in temperatures (from 348 °C to 345 °C), between unfilled green epoxy (neat) and 0.1 wt% of CNF loading. The mechanical test results, which showed a 13.3 % improvement in hardness and a 6.45 % rise in tensile strength when compared to unfilled green epoxy, were in line with previously published research. Overall, the outcomes showed that green nanocomposites have significantly improved in performance.

WATER BODIES EXTRACTION USING MATHEMATICAL MORPHOLOGY

The management of water resources is vital for maintaining the world’s ecosystems. Conventional methods of extracting water bodies remain very limited due to the complexity of the implementation. This leads to a reduction in the extraction precision. Our main objec- tive is to improve the detection of water bodies. We tested the accuracy of our method on the Sentinel-2 Dataset that contains images with different complexity levels and heterogeneous structures like shadows, roads, buildings, etc. This article presents an original method that implements the idea of separating the three-component RGB image matrices and then processing only the green matrix because it contains all water bodies with high precision. Our method is based mainly on the mathematical morphology. Firstly, we propose a simple and fast binary algorithm to detect the maximum of water bodies existing in the images. This step was carried out using the Hit-or-Miss Transform. The second step exploits applying the Top-Hat Transform to refine the segmentation result. By comparing our method with several currently used methods, we notice that our method improves the quality of segmentation and gives excellent results, which exceed 95% for all the metrics used to calculate the classification quality in the purview of remote sensing. The error obtained with our method remains less than 1 %. We can affirm that our method is very suitable for detecting bodies of water compared to all current methods.

Accurate Computations with Generalized Green Matrices

We consider generalized Green matrices that, in contrast to Green matrices, are not necessarily symmetric. In spite of the loss of symmetry, we show that they can preserve some nice properties of Green matrices. In particular, they admit a bidiagonal decomposition. Moreover, for convenient parameters, the bidiagonal decomposition can be obtained efficiently and with high relative accuracy and it can also be used to compute all eigenvalues, all singular values, the inverse, and the solution of some linear system of equations with high relative accuracy. Numerical examples illustrate the high accuracy of the performed computations using the bidiagonal decompositions. Finally, nonsingular and totally positive generalized Green matrices are characterized.

Performance Evaluation of Benzyl Alcohol Oxidation with tert-Butyl Hydroperoxide to Benzaldehyde Using the Response Surface Methodology, Artificial Neural Network, and Adaptive Neuro-Fuzzy Inference System Model.

The adaptive neuro-fuzzy inference system (ANFIS), central composite experimental design (CCD)-response surface methodology (RSM), and artificial neural network (ANN) are used to model the oxidation of benzyl alcohol using the tert-butyl hydroperoxide (TBHP) oxidant to selectively yield benzaldehyde over a mesoporous ceria-zirconia catalyst. Characterization reveals that the produced catalyst has hysteresis loops, a sponge-like structure, and structurally induced reactivity. Three independent variables were taken into consideration while analyzing the ANN, RSM, and ANFIS models: the amount of catalyst (A), reaction temperature (B), and reaction time (C). With the application of optimum conditions, along with a constant (45 mmol) TBHP oxidant amount, (30 mmol) benzyl alcohol amount, and rigorous refluxing of 450 rpm, a maximum optimal benzaldehyde yield of 98.4% was obtained. To examine the acceptability of the models, further sensitivity studies including statistical error functions, analysis of variance (ANOVA) results, and the lack-of-fit test, among others, were employed. The obtained results show that the ANFIS model is the most suited to predicting benzaldehyde yield, followed by RSM. Green chemistry matrix calculations for the reaction reveal lower values of the E-factor (1.57), mass intensity (MI, 2.57), and mass productivity (MP, 38%), which are highly desirable for green and sustainable reactions. Therefore, utilizing a ceria-zirconia catalyst synthesized via the inverse micelle method for the oxidation of benzyl alcohol provides a green and sustainable methodology for the synthesis of benzaldehyde under mild conditions.

Viscoelasticity and impact behaviour of green epoxy bio-composites made of date palm leaflets

Natural fibres can replace traditional synthetic fibre composites in applications for which sustainability is a critical aspect. Elghas date palm leaflets in their natural state and with handwoven fabric reinforcements—the latter from customary and regional carpet productions—are included into new bio-based composites that are produced and characterized in this work. The two classes of bio-composites have the same weight fraction in terms of reinforcement. The date palm leaflets reinforcements are dispersed in a green resin matrix. Bio-composites reinforced with leaflets tree have twice the static bending strength than those with leaflets fabric reinforcements. The viscoelastic behaviour of those bio-composites shows an opposite trend, with the laminates reinforced with leaflets fabric being the least sensitive. For an impact energy of 3 J, the strength of bio-composites with leaflets fabric is double than the analogous value shown by bio-composites with leaflets tree. The impact strength however increases by 4.7 times for lower impact energies of 1 J. The results shown here further demonstrate the possibility of developing bio-composites from agro-industrial products, waste, and local textile traditions for secondary structural applications.

A Novel Green Sample Pretreatment Method Column-Free Matrix Solid-Phase Dispersion Extraction: Application in a High-Performance Liquid Chromatography Experiment for Undergraduate Chemistry

A Novel Green Sample Pretreatment Method Column-Free Matrix Solid-Phase Dispersion Extraction: Application in a High-Performance Liquid Chromatography Experiment for Undergraduate Chemistry

Polyamide and deep eutectic solvent assisted matrix solid-phase dispersion microextraction for strong hydrophobic compounds

This paper proposes a simple, efficient, and green matrix solid-phase dispersion microextraction (MSPDM) method that uses polyamide as a dispersant and deep eutectic solvent (DES) as an eluant to extract terpenoids and alkaloid compounds from linderae radix. The main extraction parameters, including the amount of dispersant, grinding time, molar ratio of the DES components, type of dispersant, and type of DES, were optimized using single-factor experiments. The response surface methodology and the Box–Behnken design were used for further optimization. Satisfactory linearity (R2 > 0.999), precision (0.018%–2.215%), and accuracy (recovery >80%) were acquired for all target analytes. The results indicate that the developed method is promising and sustainable for extracting active ingredients from natural products.

Corrosion Behaviour of Commonly Used Epoxy Resin Coated Agro Based Industrial Reinforcements

bstract: In this integrated study, the project aims to develop a novel hybrid green metal matrix composite using stir casting, reinforcing aluminum alloy with Waste materials such as Waste Carbonized Eggshells (WCE), Cow Dung Ash (CDA), Snail Shell Ash (SSA), and Bamboo Leaf Ash (BLA) The experiment incorporates various organic-inorganic mixed coatings, including vinyltrimethoxysilane (VMS), [3-(methacryloxy)propyl] trimethoxy silane (MPMS), and (3-glycidoxyproyl) trimethoxy silane (GPMS), combined with tetraethoxysilane (TEOS), to enhance corrosion resistance. Potentiodynamic polarization curves, SEM images, and salt spray tests are employed to assess coating durability against corrosion. Results indicate significant reductions in corrosion flow with VMS and MPMS coatings, particularly with a 15-20% TEOS ratio, showcasing optimal corrosion resistance against salt spray. This innovative approach combines material recycling and advanced coating techniques to produce a sustainable composite with improved mechanical properties and corrosion resistance.

Polymeric monolithic columns based on natural wood for rapid purification of targeted protein

With multiscale hierarchical structure, wood is suitable for a range of high-value applications, especially as a chromatographic matrix. Here, we have aimed to provide a weak anion-exchange polymeric monolithic column based on natural wood with high permeability and stability for effectively separating the targeted protein. The wood-polymeric monolithic column was synthesized by in situ polymerization of glycidyl methacrylate and ethylene glycol dimethacrylate in wood, and coupled with diethylaminoethyl hydrochloride. The wood-polymeric monolithic column can be integrated with fast-protein liquid chromatography for large-scale protein purification. According to the results, the wood-polymeric monolithic column showed high hydrophilicity, permeability and stability. Separation experiments verified that the wood-polymeric monolithic column could purify the targeted protein (spike protein of SARS-COV-2 and ovalbumin) from the mixed proteins by ion exchange, and the static adsorption capacity was 33.04 mg mL−1 and the dynamic adsorption capacity was 24.51 mg mL−1. In addition, the wood-polymerized monolithic column had good stability, and a negligible decrease in the dynamic adsorption capacity after 20 cycles. This wood-polymerized monolithic column can provide a novel, efficient, and green matrix for monolithic chromatographic columns.

Computation of quasiseparable representations of Green matrices

The well-known Asplund theorem states that the inverse of a (possibly one-sided) band matrix A is a Green matrix. In accordance with quasiseparable theory, such a matrix admits a quasiseparable representation in its rank-structured part. Based on this idea, we derive algorithms that compute a quasiseparable representation of A−1 with linear complexity.Many inversion algorithms for band matrices exist in the literature. However, algorithms based on a computation of the rank structure performed theoretically via the Asplund theorem appear for the first time in this paper. Numerical experiments confirm complexity estimates and offer insight into stability properties.

Estimates of Green matrix entries of selfadjoint unbounded block Jacobi matrices

In a wide class of block Jacobi matrices, the norms of Green matrix (resolvent) entries are estimated. This estimate depends on the rate of growth of the norms of the off-diagonal entries and on the distance from the spectral parameter to the essential spectrum if the latter is nonempty. The sharpness of this estimate is shown by an example.

Shaping sustainable pathways: Enhancing mechanical properties of biocomposite through tannic acid treatment of flax fabrics

Biocomposites developed using natural fibers serve as a sustainable alternative to synthetic composite materials. However, narrowing the performance gap between synthetic composites and biocomposites requires serious efforts. A promising approach is the modification of natural fibers using various chemical treatments. This paper investigates the potential of tannic acid (TA) treatment as a sustainable approach to enhance mechanical performance and reduce moisture absorption of flax fabric-reinforced biocomposites. The methodology involves the treatment of flax woven fabric with tannic acid, a naturally occurring polyphenolic compound, followed by the fabrication of biocomposite using a green epoxy matrix. The variables studied during treatment are TA concentration and processing time. Characterization of untreated and treated flax fabric and its composites was done using various analytical techniques such as FTIR spectroscopy, moisture absorption and mechanical testing (tensile strength, flexural strength, and impact resistance). FTIR spectroscopy of TA-treated flax confirmed attachment of aromatic rings and carbon double bond formation, thus serving for properties enhancement. The mechanical characterization of composites showed that properties are enhanced up to an optimum limit of concentration and processing time i.e., 1 % concentration and 30 min of processing. Moisture absorption of the TA-treated composite also reduced significantly as compared to untreated composites. These findings contribute towards the advancement in sustainable biocomposites and pave the way for their utilization in various applications.

Production of bacterial nanocellulose as green adsorbent matrix using distillery wastes for dye removal: a combined approach for waste management and pollution mitigation

Production of bacterial nanocellulose as green adsorbent matrix using distillery wastes for dye removal: a combined approach for waste management and pollution mitigation

A comparative study on green synthesis and characterization of Mn doped ZnO nanocomposite for antibacterial and photocatalytic applications

Biological and green synthesis of nanomaterial is a superior choice over chemical and physical methods due to nanoscale attributes implanted in a green chemistry matrix, have sparked a lot of interest for their potential uses in a variety of sectors. This research investigates the growing relevance of nanocomposites manufactured using ecologically friendly, green technologies. The transition to green synthesis correlates with the worldwide drive for environmentally sound procedures, limiting the use of traditional harsh synthetic techniques. Herein, manganese was decorated on ZnO NPs via reducing agent of Withania-extract and confirmed by UV-spectrophotometry with highest peak at 1:2 ratio precursors, and having lower bandgap energy (3.3 eV). XRD showed the sharp peaks and confirms the formation of nanoparticles, having particle size in range of 11–14 nm. SEM confirmed amorphous tetragonal structure while EDX spectroscopy showed the presence of Zn and Mn in all composition. Green synthesized Mn-decorated ZnO-NPs screened against bacterial strains and exhibited excellent antimicrobial activities against gram-negative and gram-positive bacteria. To check further, applicability of synthesized Mn-decorated Zn nanocomposites, their photocatalytic activity against toxic water pollutants (methylene blue (MB) dye) were also investigated and results showed that 53.8% degradation of MB was done successfully. Furthermore, the installation of green chemistry in synthesizing nanocomposites by using plant extract matrix optimizes antibacterial characteristics, antioxidant and biodegradability, helping to build sustainable green Mn decorated ZnO nanomaterial. This work, explains how biologically friendly Mn-doped ZnO nanocomposites can help reduce the environmental impact of traditional packaging materials. Based on these findings, it was determined that nanocomposites derived from biological resources should be produced on a wide scale to eradicate environmental and water contaminants through degradation.

Green photocatalytic mixed matrix membranes for simultaneous arsenic photo-oxidation and water recovery via membrane distillation

This work proposes an innovative integration of Membrane Distillation (MD) and photo-oxidation for a continuous recovery of water from arsenic (As) contaminated solutions coupled with the oxidation of arsenite (As(III)) into arsenate (As(V)). Polyvinylidene fluoride (PVDF) mixed matrix membranes (MMMs) containing titanium dioxide nanoparticles (TiO2 NPs) as photocatalyst were developed. A systematic study elucidated the effect of TiO2 NPs on membranes’ morphology prepared via non-solvent-induced phase separation (NIPS) using triethyl phosphate (TEP) as a green solvent for PVDF solubilization. Vacuum membrane distillation (VMD) tests carried out by irradiating the MMMs with ultraviolet (UV) radiation demonstrated the possibility of recovering up to 80 % of the water from As-contaminated synthetic and real multi-ions aqueous solutions from Sila Massif (Italy). The distillate was recovered at a rate of 6.9–7.2 kg·m−2·h−1 (feed inlet temperature of 60 °C), while the presence of 7 wt% of TiO2 in PVDF membranes enabled the photo-oxidation of 95 % of the As(III) to As(V) at a first order kinetic constant of 0.0106 min−1. After 5 cycles of As-remediation experiments, post-hoc mechanical testing on the membrane suggested the emergence of polymer embrittlement induced by UV radiation (total irradiation time of 7.5 h), highlighting the urgent need for developing photocatalytic membranes with long-term stability.Overall, this study elucidates at laboratory scale the performance of a coupled and continuous Membrane Distillation (MD) and photo-oxidation system for arsenic (As) remediation, employing microporous hydrophobic green membranes doped with a photocatalyst.

Morphological and mechanical behavior of novel Al7075 (T6) + 3.5% SiC + 0.3% CR + 5.5% MoS2-based green hybrid composite: An experimental analysis and optimization via TOPSIS

In the current scenario, high-performance, economical, and eco-friendly materials are the main objectives for many researchers in the field of material science. Therefore, this article demonstrates the novel green HMMCs comprise Al7075-T6 as a base alloy matrix with three distinct reinforced particles (such as silicon carbide (SiC), crumb rubber (CR), and molybdenum disulfide (MoS2)) is effectively doped via stir casting technique for the lightweight applications in an automotive and avionics industries. Besides, the different range of process variables such as SiC, CR, and MoS2 along with stirring speed, stirring time, and pouring temperature are elected for the synthesis of green composites via Taguchi L18 mixed-level orthogonal array. The parametric analysis of synthesized green HMMCs in terms of impact strength (in J) and compressive strength (in MPa) is examined with the help of the Taguchi design of experimentation and pooled analysis of variance. Moreover, metallographic inspection is also done via optical microscope and SEM-EDS techniques. The proposed green hybrid sample (S3) capitulates a superior enhancement in its microstructure, impact strength (up to 62.66%), and compressive strength (up to 22.78%) as compared with base alloy composite (S0). Furthermore, Taguchi's experimental outcomes are compared and validated via the technique for order of preference by similarity to ideal solution algorithm for better validation of the impact strength and compressive strength of the Al-based green hybrid metal matrix composite (S3).

Green metal matrix composites: a multi-faceted study on Al alloy composites with egg shell powder and silicon carbide as reinforcements

This article is about Green Metal Matrix Composites (GMMCs) produced with aluminum alloys and reinforcements include silicon carbide and eggshell powder. The GMMCs offer a new approach to sustainable materials through the use of ecofriendly reinforcements. A novel class of composites results from a combination of silicon carbide, which has superior mechanical properties, and agricultural waste based eggshell powder. Furthermore, eggshell powder mainly comprised of calcium carbonate lowers its density as well as serves as long-term reinforcement. Silicon carbide enhances their mechanical properties in terms of strength and hardness respectively. This report involves a systematic study using mechanical testing and scanning electron microscopy to explain microstructural evolution and evaluate performance during mechanical loading. Further, wear resistance gives indications on suitability for different industrial applications. Variations in reinforcement contents were done so as to include 3–12% silicon carbide, and 2–8% eggshell powders in the aluminum alloys. Production strictly adhered to guidelines that controlled some variables such as stirring speed and duration which was aimed at achieving exact control. These cast composites were subjected to wear tests, tensile tests, and hardness tests as well as microstructural analysis. EDS-SEM results demonstrate successful incorporation of the reinforcements into the hybrid composites. Unveiling a surprising evenness of distribution of reinforcements throughout the Aluminum matrix through Microstructural examination is amazing. Unique wear behavior trends are presented here. The matrix alloys show mainly adhesive wear while the composites display abrasive wear mediated by reinforcements. This research proposes an eco-friendly method for metal matrix composites, thus advancing sustainable materials and offering hope for strong yet lightweight green materials suitable for aerospace, automotive and other engineering sectors.