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21 pages, 2400 KB  
Article
Numerical Investigation of Leakage Height and Protective Wall Effects on High-Pressure Hydrogen Dispersion and Jet Flames
by Xiaodong Wang, Kunqi Yang, Ying Wang, Xiaoyu Liang and Yibo Liu
Appl. Sci. 2026, 16(6), 2788; https://doi.org/10.3390/app16062788 - 13 Mar 2026
Abstract
High-pressure hydrogen leakage can induce severe fire hazards and destructive overpressures. While protective walls are commonly employed as standard safety measures, most existing studies focus on either the effect of leakage height or the presence of protective walls individually. Systematic investigations on their [...] Read more.
High-pressure hydrogen leakage can induce severe fire hazards and destructive overpressures. While protective walls are commonly employed as standard safety measures, most existing studies focus on either the effect of leakage height or the presence of protective walls individually. Systematic investigations on their combined influence remain limited, In contrast, the present study conducts a comprehensive analysis that explicitly considers the interaction between leakage height and the presence of protective walls, evaluating its subsequent effects on hydrogen dispersion, jet flame behavior and overpressure. A comprehensive investigation of this interaction is crucial for optimizing protective wall design and enhancing the safety of hydrogen facilities. Employing the Birch 1987 notional nozzle model, three-dimensional numerical simulations were performed to investigate the dispersion, jet flame morphology, and overpressure distribution of 35 MPa hydrogen leaks at varying heights. The results indicate that hydrogen jet flame reaches a peak temperature of approximately 2650 K within 1.1~1.2 m from the leakage orifice. Wall confinement promotes a broader accumulation of combustible gas clouds near the ground, thereby increasing the risk of delayed ignition. Low-altitude leaks generate near-ground jet flames, which bring the flame closer to the equipment and surrounding surface, potentially increasing local thermal exposure. Deterministic parametric analyses indicate that the installation of protective walls mitigates far-field overpressure by 76.5~89.5%. Crucially, as the leakage height approaches the wall height, the wall’s shielding effectiveness diminishes due to shock wave diffraction. These findings highlight that protective wall design must account for vertical leakage positioning to prevent localized safety failures. Full article
(This article belongs to the Section Energy Science and Technology)
16 pages, 2610 KB  
Article
Study on the Flow Characteristics and Energy Dissipation of Side Inlet/Outlet Structures
by Hai-Yan Lv, Ming-Jiang Liu, Qiang Long, Wang-Ru Wei and Jun Deng
Water 2026, 18(6), 678; https://doi.org/10.3390/w18060678 - 13 Mar 2026
Abstract
As a critical hydraulic component of pumped storage power stations, the side inlet/outlet directly affects unit efficiency, flow stability, and system safety. This study investigates the side inlet/outlet of a pumped storage power station using three-dimensional numerical simulations, focusing on the influence of [...] Read more.
As a critical hydraulic component of pumped storage power stations, the side inlet/outlet directly affects unit efficiency, flow stability, and system safety. This study investigates the side inlet/outlet of a pumped storage power station using three-dimensional numerical simulations, focusing on the influence of the diffuser length L on hydraulic performance, and further analyzes the underlying mechanisms of energy loss based on entropy production theory. The results indicate that, with increasing diffuser length L, the flow rates in individual channels gradually deviate from the design values, leading to an aggravated imbalance in flow distribution. In contrast, the velocity non-uniformity coefficient CV at the trash rack decreases, accompanied by a pronounced attenuation of recirculation and local flow separation, resulting in a more uniform and stable flow field. Moreover, increasing L improves the streamwise velocity uniformity within each channel, while the extent and intensity of the top recirculation zone are reduced, suppressing local flow separation. Quantitative analysis shows that when L increases from 65 m to 85 m, the total turbulent dissipation entropy production rate in the diffuser section increases linearly from 2732.32 W/K to 2842.32 W/K, whereas the direct dissipation entropy production rate increases from 0.41 W/K to 0.59 W/K. This indicates that turbulent dissipation entropy production plays a dominant role in the overall energy loss. Shorter diffusers tend to induce high-intensity local dissipation, whereas longer diffusers reduce local peak dissipation but increase the overall entropy production within the diffuser, reflecting a trade-off between local optimization and global energy loss. This study reveals the sensitivity and governing effects of diffuser length on the hydraulic characteristics of side inlet/outlets, providing a reference for geometry optimization and engineering design of similar hydraulic components. Full article
(This article belongs to the Section Hydraulics and Hydrodynamics)
35 pages, 18152 KB  
Article
Empirical Energy Dissipation Model for Variable-Slope Three-Section Stepped Spillways Validated Through Dimensional Analysis and CFD Simulation
by Luis Antonio Yataco-Pastor, Ana Cristina Ybaceta-Valdivia, Yoisdel Castillo Alvarez, Reinier Jiménez Borges, Luis Angel Iturralde Carrera, José R. García-Martínez and Juvenal Rodríguez-Reséndiz
Fluids 2026, 11(3), 78; https://doi.org/10.3390/fluids11030078 - 13 Mar 2026
Abstract
Energy dissipation in stepped weirs depends on the complex interaction between geometry, flow regime, and surface aeration. The research proposes a dimensionless empirical model (RE3T) to predict the overall energy dissipation in three-section stepped weirs with variable slopes. The formulation integrates dimensional analysis [...] Read more.
Energy dissipation in stepped weirs depends on the complex interaction between geometry, flow regime, and surface aeration. The research proposes a dimensionless empirical model (RE3T) to predict the overall energy dissipation in three-section stepped weirs with variable slopes. The formulation integrates dimensional analysis based on the Vaschy–Buckingham theorem, controlled physical experimentation, and three-dimensional numerical simulations using CFD employing the RANS–SST turbulence model implemented in ANSYS CFX. Eighteen numerical simulations were performed covering seven geometric configurations and four hydraulic inlet conditions, covering slug, transitional, and skimming flow regimes. The CFD model was previously validated by comparison with a physical scale model, obtaining a discrepancy of only 0.38% in relative energy dissipation. The validated dataset was then used to calibrate an empirical multiplicative correlation composed of eight dimensionless groups associated with sectional slopes, number of steps, overall geometric ratio, and upstream Froude number. The proposed model achieved a coefficient of determination R2 = 0.81, with relative errors generally less than 1% and a maximum deviation of 2.34%. The statistical indicators (RMSE, MAE, and bias) confirm the absence of significant systematic trends within the defined domain of validity. The results show that the Froude number and the slopes of the sections are the variables with the greatest influence on overall dissipation. The RE3T formulation is a physically consistent and computationally efficient predictive tool for the design and analysis of stepped weirs with variable slopes, extending the scope of traditional correlations developed for uniform slopes. Full article
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19 pages, 2440 KB  
Article
Stochastic Air Quality Modelling of Ship Emissions in Port Areas for Maritime Decarbonization Pathways
by Ramazan Şener and Yordan Garbatov
J. Mar. Sci. Eng. 2026, 14(6), 542; https://doi.org/10.3390/jmse14060542 - 13 Mar 2026
Abstract
Decarbonizing the maritime sector requires not only adopting alternative fuels and propulsion technologies but also quantitatively assessing their impacts on coastal and urban air quality. This study develops a stochastic, time-resolved air-quality modelling framework to evaluate ship-related pollutant dispersion in port environments. The [...] Read more.
Decarbonizing the maritime sector requires not only adopting alternative fuels and propulsion technologies but also quantitatively assessing their impacts on coastal and urban air quality. This study develops a stochastic, time-resolved air-quality modelling framework to evaluate ship-related pollutant dispersion in port environments. The approach integrates Automatic Identification System (AIS) trajectories, vessel-specific emission factors, and meteorological inputs within a moving-source Gaussian dispersion model to simulate the spatio-temporal evolution of pollutant concentrations. A 24 h case study for the Ports of Los Angeles and Long Beach demonstrates highly intermittent emission behaviour, with peak aggregated emission rates reaching approximately 1.2 kg/s for CO2 and 3.8 g/s for SO2. Temporally integrated concentration fields reveal maximum cumulative dosages of 0.145 g·s/m3 for NOx, 0.023 g·s/m3 for SO2, 0.014 g·s/m3 for total PM, and 7.5 g·s/m3 for CO2 in near-port traffic corridors. Sensitivity analysis indicates that effective emission height variations alter cumulative exposure by up to 17%, whereas temporal resolution changes produce deviations below 7%, confirming numerical stability. Monte Carlo uncertainty propagation demonstrates bounded but non-negligible variability in exposure estimates under realistic emission and wind uncertainties. Results show that cumulative exposure patterns differ substantially from short-term concentration peaks, highlighting the importance of time-integrated and receptor-based metrics for port air quality assessment. The proposed AIS-driven stochastic framework provides a reproducible and computationally efficient tool for evaluating operational mitigation strategies and supporting evidence-based maritime decarbonization pathways. Full article
22 pages, 799 KB  
Article
Adaptive Robust Control-Based Ride Comfort Enhancement for Nonlinear Suspension–Seat–Driver Systems
by Omur Can Can Ozguney
Electronics 2026, 15(6), 1213; https://doi.org/10.3390/electronics15061213 - 13 Mar 2026
Abstract
Ride comfort is a critical issue in vehicle dynamics, as excessive vibrations adversely affect passenger comfort and human health. This paper presents a comparative performance analysis of a passive suspension system, fuzzy logic control (FLC), and a newly designed adaptive robust control (ARC) [...] Read more.
Ride comfort is a critical issue in vehicle dynamics, as excessive vibrations adversely affect passenger comfort and human health. This paper presents a comparative performance analysis of a passive suspension system, fuzzy logic control (FLC), and a newly designed adaptive robust control (ARC) strategy applied to a nonlinear quarter-car suspension–seat–driver model. The primary objective is to improve ride comfort while maintaining vibration levels within accepted health criteria. First, the nonlinear dynamic model of the suspension–seat–driver system is established. The FLC structure and rule base are determined based on heuristic knowledge. Passive and FLC-based systems, while effective to some extent, suffer from limited adaptability to external disturbances and modeling uncertainties, slower convergence, and suboptimal vibration attenuation. The main contribution of this study is the design and implementation of a novel adaptive robust controller that effectively handles modeling uncertainties, external disturbances, and parameter variations. Different controller placement approaches within the system are also investigated. Numerical simulations are conducted under identical operating conditions for the uncontrolled system and all control strategies. The results demonstrate that although the FLC improves ride comfort compared to the passive system, the proposed ARC achieves the best overall performance, providing superior vibration attenuation, faster convergence, and enhanced robustness for nonlinear vehicle suspension systems. Quantitatively, the ARC reduces head acceleration RMS from 0.1693 m/s2 (passive) and 0.1422 m/s2 (FLC) to 0.0705 m/s2, and upper torso RMS from 0.1689 m/s2 (passive) and 0.1417 m/s2 (FLC) to 0.0703 m/s2, corresponding to approximately 58% reduction relative to passive and 50% improvement over FLC. Full article
(This article belongs to the Section Systems & Control Engineering)
25 pages, 2355 KB  
Article
Analysis of the Impact of Heterogeneous Platoon for Mixed Traffic Flow: Stability and Safety
by Dan Tu, Yunxia Wu, Le Li, Yangsheng Jiang, Yi Wang and Zhihong Yao
Systems 2026, 14(3), 304; https://doi.org/10.3390/systems14030304 - 13 Mar 2026
Abstract
To investigate the impact mechanism of different platoon control strategies on mixed traffic flow, this paper evaluates the overall performance of different heterogeneous platoon control strategies in smoothing small traffic disturbances and improving traffic safety. First, this paper derives the stability conditions for [...] Read more.
To investigate the impact mechanism of different platoon control strategies on mixed traffic flow, this paper evaluates the overall performance of different heterogeneous platoon control strategies in smoothing small traffic disturbances and improving traffic safety. First, this paper derives the stability conditions for homogeneous and mixed traffic flow based on transfer function theory. Second, by simulating small disturbance experiments, the trend of speed under different traffic densities and the penetration rate of CAVs are analyzed. The characteristics of speed change coefficients under different platoon control strategies are comparatively analyzed based on the results in part 1. Finally, numerical simulation experiments were designed to analyze the safety performance of traffic flow under each strategy. The results show that (1) the combination of a variable time gap strategy with vehicle speed has the strongest ability to suppress disturbances. Among the combination spacing strategies, the combination of the variable time gap strategy with vehicle speed and the constant time gap strategy performs best in smoothing small disturbances. (2) At low penetration rates, incorporating CAVs may increase the instability of the traffic flow, while at high rates, CAVs effectively enhance the stability. These findings provide important guidance for selecting platoon control strategies in mixed traffic flow environments from the perspective of stability and safety. Full article
43 pages, 5660 KB  
Article
MESETO: A Multi-Strategy Enhanced Stock Exchange Trading Optimization Algorithm for Global Optimization and Economic Dispatch
by Yao Zhang, Jiaxuan Lu and Xiao Yang
Mathematics 2026, 14(6), 981; https://doi.org/10.3390/math14060981 - 13 Mar 2026
Abstract
High-dimensional global optimization and microgrid economic scheduling problems are often dominated by nonlinear search landscapes, strong coupling among decision variables, and stringent operational constraints, which severely limit the effectiveness of conventional metaheuristic approaches. In response to these challenges, this study presents a multi-strategy [...] Read more.
High-dimensional global optimization and microgrid economic scheduling problems are often dominated by nonlinear search landscapes, strong coupling among decision variables, and stringent operational constraints, which severely limit the effectiveness of conventional metaheuristic approaches. In response to these challenges, this study presents a multi-strategy cooperative optimization framework derived from stock exchange trading principles, referred to as MESETO. The proposed method departs from the single-path evolutionary process of the standard SETO algorithm by introducing a diversified strategy collaboration mechanism that enables the dynamic adjustment of search behaviors throughout the optimization process. Multiple complementary update strategies are jointly employed to balance global exploration and local exploitation, while an adaptive probability regulation scheme continuously reallocates computational effort toward strategies that demonstrate superior performance. In addition, a solution validation mechanism is incorporated to prevent population degradation by rejecting ineffective evolutionary moves, thereby enhancing convergence stability. Extensive numerical experiments conducted on the CEC2017 and CEC2022 benchmark suites across different dimensional configurations demonstrate that MESETO consistently achieves improved solution accuracy, faster convergence, and stronger robustness compared with several representative state-of-the-art metaheuristic algorithms. Furthermore, the applicability of the proposed optimizer is verified through a 24 h microgrid economic scheduling case that integrates renewable energy sources, energy storage systems, dispatchable generators, and grid interaction. Simulation results confirm that MESETO effectively reduces operational costs while maintaining stable and efficient scheduling performance. Overall, the results indicate that MESETO constitutes a reliable and efficient optimization framework for solving complex global optimization problems and practical energy management applications. Full article
(This article belongs to the Special Issue Advances in Computational Intelligence and Applications)
20 pages, 5567 KB  
Article
Study on Directional Micro-Disturbance Grouting for Settlement Control of Shield Tunnel in Sand Layers Based on Numerical Simulation and In-Situ Test
by Changjiang Meng, Zhaihui Ge, Zhaohui Xiong, Junjie Hu, Haisu Zhao and Jiaqi Guo
Buildings 2026, 16(6), 1143; https://doi.org/10.3390/buildings16061143 - 13 Mar 2026
Abstract
Due to changes in the surrounding environment, the settlement defects of a shield metro tunnel in Wuhan have become increasingly prominent, seriously affecting its safe operation. Directional micro-disturbance grouting can effectively control the settlement of a shield tunnel. However, the grouting parameters S [...] Read more.
Due to changes in the surrounding environment, the settlement defects of a shield metro tunnel in Wuhan have become increasingly prominent, seriously affecting its safe operation. Directional micro-disturbance grouting can effectively control the settlement of a shield tunnel. However, the grouting parameters S and H directly affect the grouting effect. This study adopts the finite difference method to analyze the influences of parameters S and H on the displacements of the shield tunnel and surrounding soil. The simulation results indicate that as S/D increases from 0.242 to 0.726, the compaction effect of the soil at the tunnel bottom gradually weakens, and the uplift displacements of both the vault and the track bed decrease accordingly, suggesting that parameter S plays a controlling role in the uplift deformation of the vault and track bed. However, as H/D increases from −0.161 to 0.323, the compaction zone of the soil at the tunnel haunch gradually shrinks, while the compaction zone at the tunnel bottom expands. At the same time, the uplift displacement of the track bed increases, and the horizontal convergence of the tunnel decreases. When parameter H varies within the range of −0.161D to 0.726D, it is observed to have a minimal impact on the uplift displacement of the tunnel vault but exerts a significant influence on both the uplift displacement of the track bed and the horizontal convergence of the tunnel. Based on the settlement control requirements for the in-situ grouting test section, the parameters S = 0.403D and H = 0.161D were selected for the in-situ grouting test. The average measured uplift displacements at the tunnel vault and track bed in the in-situ grouting test section were 14.9 mm and 9.1 mm, respectively, being only 2.6% and 4.2% lower than the numerical simulation results (15.3 mm and 9.5 mm). The strong consistency between the field-measured and simulated results validates the rationality of parameters S and H selection. Full article
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23 pages, 2888 KB  
Article
ASME-Based Structural Assessment of Head–Shell Junctions in Pressurized Railway Tank Wagons
by Costin Nicolae Ilincă, Rami Doukeh, Ibrahim Naim Ramadan, Adrian Neacsa, Alin Diniță, Eugen Victor Laudacescu, Marius Gabriel Petrescu, Bogdan Ilie and Andrei Cosmin Sîrbu
Materials 2026, 19(6), 1125; https://doi.org/10.3390/ma19061125 - 13 Mar 2026
Abstract
This study presents an ASME-based structural assessment of the head–shell junction in a 60 m3 pressurized railway tank wagon subjected to an internal pressure of 0.45 MPa, combining classical shell theory with finite element analysis (FEA) in accordance with ASME Section VIII [...] Read more.
This study presents an ASME-based structural assessment of the head–shell junction in a 60 m3 pressurized railway tank wagon subjected to an internal pressure of 0.45 MPa, combining classical shell theory with finite element analysis (FEA) in accordance with ASME Section VIII Division 2 stress categorization and linearization procedures. An analytical model based on the moment theory of shells of revolution was developed to describe displacement and rotation compatibility at the ellipsoidal head–cylindrical shell junction, allowing for the determination of contour interaction loads governing membrane–bending coupling in the discontinuity region. The calculated contour loads (Q0 = 795 N/mm, M0 = 13,350 N·mm/mm) indicate localized membrane–bending interactions caused by geometric discontinuity. Finite element simulations using axisymmetric (2D) and full 3D models were evaluated through the ASME VIII-2 stress linearization procedure, enabling comparison between analytical predictions and numerical results. The maximum equivalent stress according to the Coulomb–Tresca criterion reached 115 MPa (2D) and 117 MPa (3D), with less than 2% deviation, confirming the adequacy of the axisymmetric model. Stress linearization shows that the maximum combined primary membrane and bending stress (109.5 MPa) remains well below the ASME allowable limit of 308 MPa, while the discontinuity influence zone extends approximately 120–150 mm from the junction. The results confirm compliance with ASME VIII Division 2 requirements and demonstrate that the combined analytical–numerical approach provides a reliable method for evaluating stress concentration effects in railway tank wagons. Full article
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24 pages, 1628 KB  
Article
A Fractional-Order Sliding Mode DTC–SVM Framework for Precision Control of Surgical Robot Actuators
by Fatma Ben Salem, Jaouhar Mouine and Nabil Derbel
Fractal Fract. 2026, 10(3), 193; https://doi.org/10.3390/fractalfract10030193 - 13 Mar 2026
Abstract
Precise and smooth actuation is a central requirement in surgical robotics, where small tracking errors or oscillations can directly affect task quality and safety. This paper studies the control of an induction-motor-driven surgical joint using a sliding-mode strategy enhanced by fractional-order operators and [...] Read more.
Precise and smooth actuation is a central requirement in surgical robotics, where small tracking errors or oscillations can directly affect task quality and safety. This paper studies the control of an induction-motor-driven surgical joint using a sliding-mode strategy enhanced by fractional-order operators and implemented within a DTC–SVM structure. The motivation is to improve motion smoothness and disturbance rejection without sacrificing the fast dynamic response offered by direct torque control. A dynamic model of the actuator is developed by combining the electrical equations of the induction motor with the mechanical dynamics of a robotic joint, including inertia, viscous friction, gravity-induced torque, and Coulomb friction. Fractional-order sliding surfaces are introduced for both position and flux regulation, and the closed-loop stability is examined through Lyapunov-based arguments. Simulation results show accurate trajectory tracking with limited overshoot and smooth transient responses. The motor speed remains well regulated, while stator flux and currents stay within admissible bounds. The electromagnetic torque adapts to load variations with reduced ripple, and the rotor pulsation remains bounded. Within the limits of numerical evaluation, these results indicate that the proposed fractional-order sliding-mode DTC–SVM scheme is suitable for precision-oriented surgical robotic actuation. Full article
(This article belongs to the Special Issue Advanced Numerical Methods for Fractional Functional Models)
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21 pages, 1272 KB  
Article
The Mollification Regularization Method with Truncated Kernels for Solving the Inverse Time-Fractional Schrödinger Problem
by Huilin Xu, Fanli Xu, Duanmei Zhou and Rong Zhang
Fractal Fract. 2026, 10(3), 191; https://doi.org/10.3390/fractalfract10030191 - 13 Mar 2026
Abstract
This paper studies an inverse problem associated with the time-fractional Schrödinger equation in a field-free potential. To address the severe ill-posedness of the problem, a mollification regularization method with truncated kernels is employed to obtain stable approximate solutions. Both a priori and a [...] Read more.
This paper studies an inverse problem associated with the time-fractional Schrödinger equation in a field-free potential. To address the severe ill-posedness of the problem, a mollification regularization method with truncated kernels is employed to obtain stable approximate solutions. Both a priori and a posteriori strategies for selecting the regularization parameter are developed, and corresponding error estimates for the regularized solutions are derived. The effectiveness of the proposed approach is demonstrated through numerical simulations. Full article
(This article belongs to the Section Numerical and Computational Methods)
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33 pages, 4985 KB  
Article
Inference for Upper Record Ranked Set Sampling from Kies Model with k-Cycle Effect
by Zirui Chu, Min Wu, Liang Wang and Yuhlong Lio
Mathematics 2026, 14(6), 979; https://doi.org/10.3390/math14060979 - 13 Mar 2026
Abstract
This study investigates statistical inference for upper record ranked set sampling (URRSS) data from the Kies distribution. In multiple-cycle URRSS settings where the heterogeneity across cycles is non-ignorable, both classical and Bayesian approaches are adopted to estimate the unknown model parameters and associated [...] Read more.
This study investigates statistical inference for upper record ranked set sampling (URRSS) data from the Kies distribution. In multiple-cycle URRSS settings where the heterogeneity across cycles is non-ignorable, both classical and Bayesian approaches are adopted to estimate the unknown model parameters and associated reliability metrics. Likelihood-based point and interval estimates are derived for these parameters and reliability indices, and the existence and uniqueness of the maximum likelihood estimators for the Kies distribution parameters are rigorously established. Moreover, a hierarchical Bayesian framework is developed to accommodate cycle-specific variability, with a Metropolis–Hastings algorithm embedded within a Gibbs sampler proposed to facilitate posterior computation in complex scenarios. The performance of the suggested methods is assessed through extensive simulation studies, supplemented by two real-world data applications that demonstrate their practical utility. Numerical results show that the proposed estimators perform well overall, with the hierarchical Bayesian approach showing a particular advantage when uncertainty about the cycle effect is present. Full article
(This article belongs to the Section D1: Probability and Statistics)
12 pages, 1468 KB  
Article
Evaluation of Time-Dependent Magnetic Losses of Permanent Magnets
by Maximilian Lanz, Gerhard Martinek, Thomas Kresse, Gerhard Schneider and Dagmar Goll
Metals 2026, 16(3), 322; https://doi.org/10.3390/met16030322 - 13 Mar 2026
Abstract
Time-dependent magnetization losses critically affect the performance of permanent magnets during their service lifetime. Quantifying these losses remains challenging, as existing analytical models and simulation tools lack suitable functions for accurate prediction. This work introduces a practical method to quantify these losses using [...] Read more.
Time-dependent magnetization losses critically affect the performance of permanent magnets during their service lifetime. Quantifying these losses remains challenging, as existing analytical models and simulation tools lack suitable functions for accurate prediction. This work introduces a practical method to quantify these losses using the magnetic viscosity parameter and to predict future behavior via the time-dependent fluctuation field. Measurements on several magnet grades demonstrate that long-term stability can be reliably estimated with this approach, supporting both analytical evaluation and direct implementation in numerical simulations. Validation against long-term experiments confirms the accuracy of the method and its suitability for predicting magnetization evolution, enabling more targeted material selection. Full article
(This article belongs to the Section Metallic Functional Materials)
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25 pages, 447 KB  
Article
Stability and Controllability of Coupled Neutral Impulsive ϱ-Fractional System with Mixed Delays
by F. Gassem, Mohammed Almalahi, Mohammed Rabih, Manal Y. A. Juma, Amira S. Awaad, Ali H. Tedjani and Khaled Aldwoah
Fractal Fract. 2026, 10(3), 192; https://doi.org/10.3390/fractalfract10030192 - 13 Mar 2026
Abstract
This study examines a comprehensive class of coupled nonlinear ϱ-Hilfer fractional neutral impulsive integro-differential systems with mixed delays and non-local initial conditions. The primary contribution of this study is the creation of a unified analytical framework that encompasses coupled interactions, neutral-type dependencies, [...] Read more.
This study examines a comprehensive class of coupled nonlinear ϱ-Hilfer fractional neutral impulsive integro-differential systems with mixed delays and non-local initial conditions. The primary contribution of this study is the creation of a unified analytical framework that encompasses coupled interactions, neutral-type dependencies, and impulsive disturbances, which have been studied separately by researchers. We utilize the Banach contraction principle and Krasnoselskii’s fixed-point theorem to provide suitable conditions for the existence and uniqueness of solutions within the product space of piecewise continuous weighted functions. In addition to existence, we examine Ulam–Hyers–Rassias (UHR) stability using a generalized Gronwall inequality, which guarantees the system’s robustness against functional perturbations. We also develop a controllability framework and a feedback control law that steer the system towards the desired terminal states. The theoretical results are supported by a numerical simulation using a complex kernel, implemented via a modified predictor-corrector algorithm, which validates the practical effectiveness of the proposed control and stability outcomes. Full article
(This article belongs to the Section Complexity)
24 pages, 3361 KB  
Article
Simulation and Numerical Analysis of the Performance Parameters and Combustion Process of a Biofuel-Powered Compression Engine
by Paulina Mitan-Zalewska, Ewelina Kostecka, Irmina Durlik, Rafał Zalewski and Tymoteusz Miller
Energies 2026, 19(6), 1453; https://doi.org/10.3390/en19061453 - 13 Mar 2026
Abstract
This paper presents the analysis and results of the numerical simulation of the biofuel combustion process: namely, the volumetric mixture of diesel oil (ON) and camelina seed oil methyl ester (CSME) in a diesel engine. The mathematical model used in the simulation is [...] Read more.
This paper presents the analysis and results of the numerical simulation of the biofuel combustion process: namely, the volumetric mixture of diesel oil (ON) and camelina seed oil methyl ester (CSME) in a diesel engine. The mathematical model used in the simulation is based on a four-stroke diesel engine acting as a power generator. To enable simulations depending on the type of biofuel, a model algorithm was developed in the MATLAB/Simulink environment that allowed for the conditions and parameters to be adjusted according to specific test requirements. The numerical simulation was built on the basis of a real stand, in order to confirm the results of previous research both theoretically and in real applications. The calculation approach starts with the elemental composition of the fuel and goes through the intake, compression, combustion, and expansion stages, culminating in the thermal balance of the engine. The mathematical model confirmed the obtained results, which are comparable to the results from the research station. The obtained results confirm the legitimacy of using CSME as an additive to diesel and show its impact on engine performance that can be optimized to achieve the desired results. The use of pure CSME (100%) resulted in an increase in engine power and torque, probably due to the oxygen content of the biofuel molecules and its higher cetane number, which improves its ignition characteristics. However, an increase in unit fuel consumption has been observed, indicating lower energy efficiency compared to clean diesel, which is partially offset by the higher density of biofuel. The model takes into account the physicochemical properties of the fuel, such as the viscosity, cetane number and density, which significantly affect the fuel injection and atomization processes. Although the simulation is based on simplified assumptions, its results highlight the potential of biofuels in heavy transport and their cost-effectiveness as an alternative to fossil fuels. The developed model is used not only to evaluate the engine performance, but also as a tool for assessing the thermal efficiency, and optimizing the composition of the fuel mixture. Full article
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