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26 pages, 2568 KB  
Article
Simulation of a Four-Stroke Diesel Engine for Propulsion in Wave
by Zhe Chen, Fan Shi, Jiawang Li and Guangnian Li
Algorithms 2026, 19(5), 421; https://doi.org/10.3390/a19050421 - 21 May 2026
Viewed by 180
Abstract
With the development of shipping to harsh marine environment, it is very important to understand the transient behavior of a marine diesel engine in high sea conditions. Wave-induced hull motion will lead to severe load fluctuations and air-fuel ratio imbalance. In this study, [...] Read more.
With the development of shipping to harsh marine environment, it is very important to understand the transient behavior of a marine diesel engine in high sea conditions. Wave-induced hull motion will lead to severe load fluctuations and air-fuel ratio imbalance. In this study, an integrated simulation platform coupled with environmental loads, hull dynamics, propeller characteristics and a high-fidelity thermodynamic engine model was constructed to explore the response characteristics of the propulsion system. The model integrates a zero-dimensional multi-zone combustion method, turbocharger dynamic characteristics and an incremental PID governor, and has been verified based on the bench test data of TBD234V12 diesel engine and the 20 m Wigley standard ship. The simulation results under the sea conditions from level 7 to 9 show that the transient load has a nonlinear amplification effect. Specifically, from sea state 7 to sea state 9, the engine load fluctuation range expands by 2.0 times, while the main peak amplitude of speed fluctuation increases by 3.7 times. Furthermore, the peak exhaust pressure rises by 1.8 times, and the exhaust temperature fluctuation amplitude broadens by 35%. Frequency domain analysis further identified the low-frequency energy concentration phenomenon in the exhaust pressure spectrum and the precursor characteristics of compressor surge. The research results quantify the deterioration law of thermodynamic stability and mechanical stress under wave disturbance, and provide an important reference for the formulation of an engine robust control strategy and fatigue life assessment under high sea conditions. Full article
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52 pages, 11799 KB  
Article
Cyclic Dynamic Behaviour of Reconstructed Soil–Rock Mixtures: Hysteresis Response, Normalized Shear Modulus, and Damping Evolution
by Yunfei Liu, Guangtao Bao, Rui Fu and Tze Liang Lau
Coatings 2026, 16(5), 603; https://doi.org/10.3390/coatings16050603 - 16 May 2026
Viewed by 234
Abstract
Protective coatings and surface-protection systems improve structural durability, but the long-term performance of durability-sensitive infrastructure also depends on the cyclic stability of supporting soil–rock mixture (SRM) foundations. In this study, undrained multistage strain-controlled cyclic triaxial tests were conducted on reconstructed SRMs with rock [...] Read more.
Protective coatings and surface-protection systems improve structural durability, but the long-term performance of durability-sensitive infrastructure also depends on the cyclic stability of supporting soil–rock mixture (SRM) foundations. In this study, undrained multistage strain-controlled cyclic triaxial tests were conducted on reconstructed SRMs with rock block contents of 0%, 10%, 20%, 40%, and 60% under confining pressures of 100, 200, and 400 kPa. Hysteresis-loop morphology, secant shear modulus, normalized shear modulus ratio, damping ratio, normalized damping ratio, and fitting parameters were evaluated. The results show that hysteresis loops evolved from narrow and steep to wider and fuller forms as strain amplitude increased, indicating stiffness degradation and enhanced hysteretic dissipation. The secant shear modulus decreased from 35.835 to 158.871 MPa to 3.296–12.854 MPa, corresponding to an overall reduction of approximately 85%–94%, while the damping ratio increased from 0.036 to 0.063 to 0.195–0.268. Higher rock block content and stronger confinement increased absolute stiffness, but rock block content advanced normalized degradation and damping development, whereas confinement delayed these normalized responses. These findings provide experimental evidence for dynamic-parameter selection, deformation-compatibility evaluation, and cyclic stability assessment of complex SRM foundations. Full article
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25 pages, 10124 KB  
Article
Laser-Engineered Co/Cu Multilayers by Pulsed Laser Deposition: Interfacial Control, Spin-Dependent Transport, and Enhanced Giant Magnetoresistance
by Cătălin-Daniel Constantinescu, Eros-Alexandru Pătroi, Nicu-Doinel Scărișoreanu, Antoniu-Nicolae Moldovan, Anca-Gabriela Nedelcea, Cătălin-Romeo Luculescu, Cosmin Cobianu, Maria-Cătălina Petrescu and Lucian-Gabriel Petrescu
Magnetochemistry 2026, 12(5), 55; https://doi.org/10.3390/magnetochemistry12050055 - 9 May 2026
Viewed by 273
Abstract
Cobalt/copper (Co/Cu) multilayers are prototypical systems for giant magnetoresistance (GMR)-based spintronic devices, where interfacial quality and spin-dependent scattering critically determine performance. In this work, Co/Cu multilayers were fabricated by pulsed laser deposition (PLD) on SITAL ceramics, Si(100), and BK7 substrates, with 10, 20, [...] Read more.
Cobalt/copper (Co/Cu) multilayers are prototypical systems for giant magnetoresistance (GMR)-based spintronic devices, where interfacial quality and spin-dependent scattering critically determine performance. In this work, Co/Cu multilayers were fabricated by pulsed laser deposition (PLD) on SITAL ceramics, Si(100), and BK7 substrates, with 10, 20, and 40 bilayer repetitions, in order to elucidate the interplay between microstructure, interfacial diffusion, and magnetotransport properties. Systematic characterization combining atomic force microscopy (AFM), scanning electron microscopy (SEM), SIMS/SNMS depth profiling, vibrating sample magnetometry (VSM), and Hall effect measurements reveals that PLD enables controlled multilayer growth with low background roughness and well-defined periodic structures, despite the presence of characteristic particulates. A clear dependence of the GMR response on both bilayer number and substrate type is observed. Increasing the number of repetitions enhances spin-dependent scattering at Co/Cu interfaces, leading to a progressive increase in the magnetoresistance amplitude, reaching ~−14% for 40-period multilayers on SITAL substrates. This enhancement is attributed to the higher interface density and improved interfacial coherence, as confirmed by SIMS/SNMS analysis showing reduced interdiffusion in thicker stacks. In parallel, Hall effect measurements indicate a reduction in carrier density and an increase in carrier mobility with increasing multilayer thickness, consistent with improved charge transport stability. A pronounced substrate effect is demonstrated: SITAL-supported multilayers exhibit enhanced GMR sensitivity (up to ~44%·T−1) due to increased diffuse spin-dependent scattering at rougher interfaces, whereas Si(100) substrates promote smoother growth, improved structural coherence, and more stable electronic transport. While sputtering typically enables smoother interfaces and higher GMR ratios, PLD offers enhanced flexibility in tailoring interfacial morphology and diffusion processes, which can lead to improved sensitivity under specific conditions. These results establish PLD as a versatile route for tailoring Co/Cu multilayers, enabling controlled optimization of the trade-off between sensitivity and structural quality for advanced spin-valve and magnetic sensor applications. Full article
(This article belongs to the Special Issue Magnetic Materials, Thin Films and Nanostructures—2nd Edition)
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37 pages, 2561 KB  
Article
Optimizing Control Chain Latency in Liquid Cooled Data Center for Load Responsive Operation
by Haotian Shi, Song Pan, Kaiyan Liu, Taocheng Wan, Chao Li and Baolian Niu
Buildings 2026, 16(9), 1752; https://doi.org/10.3390/buildings16091752 - 28 Apr 2026
Viewed by 236
Abstract
High power servers are accelerating adoption of cold plate liquid cooling in data centers, but control-chain latency and thermal inertia can delay regulation after load changes and trigger transient swings that threaten temperature stability. This study develops a delay-aware Modelica model for a [...] Read more.
High power servers are accelerating adoption of cold plate liquid cooling in data centers, but control-chain latency and thermal inertia can delay regulation after load changes and trigger transient swings that threaten temperature stability. This study develops a delay-aware Modelica model for a liquid cooled data center and validates it against measured operating conditions. To compare control options, a standardized percentage step-test protocol is proposed with three indicators—dynamic response time, dynamic fluctuation amplitude, and dynamic fluctuation ratio. Step-response simulations evaluate three single actuator strategies (constant differential pressure valve control, primary side variable flow pumping, and cooling tower outlet temperature control), and a combined condition database is built for coordinated pump–fan control with operating-point matching. Valve control responds fastest (38.3–41.3 s) but produces the largest fluctuations; variable flow pumping is smoother with response times of 44.2–72.9 s; and cooling tower temperature control is most stable but slowest (684–826 s). The optimized combined strategy reallocates control authority across operating conditions, reducing response time from 688.3 s to 73.7 s and lowering dynamic temperature swing risk by up to 1.3 °C. These results support load-responsive, plant-level transient-safe operation of liquid-cooled data-center cooling plants, particularly for secondary-side supply temperature control. Full article
(This article belongs to the Section Building Energy, Physics, Environment, and Systems)
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21 pages, 3459 KB  
Article
Rotational Dynamics and Stability of Gyrostatic Systems with Prescribed Internal Mass Motion: Asymptotic Methods and Spacecraft Attitude Control
by Rageh K. Hussein, M. A. Ibrahem, T. S. Amer and A. H. Elneklawy
Mathematics 2026, 14(9), 1463; https://doi.org/10.3390/math14091463 - 27 Apr 2026
Cited by 1 | Viewed by 288
Abstract
This paper examines the rotational motion of a compound mechanical system comprising a rigid carrier body equipped with internal gyroscopic devices and a point mass that moves along a prescribed trajectory relative to the body. The system undergoes free motion in a uniform [...] Read more.
This paper examines the rotational motion of a compound mechanical system comprising a rigid carrier body equipped with internal gyroscopic devices and a point mass that moves along a prescribed trajectory relative to the body. The system undergoes free motion in a uniform gravitational field. We derive the complete equations of motion accounting for the constant gyrostatic torque (GT) generated by internal rotors. Using asymptotic methods, we develop approximate dynamical equations valid under two distinct physical scenarios: (i) when the moving mass is small relative to the carrier mass and executes rapid oscillations and (ii) when the mass oscillates with small amplitude near a fixed location within the body, regardless of mass ratio. The accuracy and validity range of these approximations are rigorously established. For the first scenario, we have approached the idea that gyrostatic coupling fundamentally alters the system’s integrability properties while introducing beneficial stabilization mechanisms. We characterize families of permanent rotational states and analyze their stability using linear perturbation theory. The second scenario reveals that the approximate dynamics correspond to gyrostat motion rather than the classical Euler–Poinsot case. Comprehensive numerical simulations validate theoretical predictions and demonstrate applications to spacecraft attitude control problems. The results provide practical design guidelines for gyrostabilized systems with internal moving components. Full article
(This article belongs to the Section E: Applied Mathematics)
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21 pages, 17336 KB  
Article
Study on Macro–Meso Shear Characteristics of Geogrid–Silty Clay Interface
by Liang Wang, Zhice Zhao, Zhaoyun Sun, Jincheng Wei and Hongxing Li
Coatings 2026, 16(5), 522; https://doi.org/10.3390/coatings16050522 - 26 Apr 2026
Viewed by 386
Abstract
This study investigates the macro–meso shear characteristics of the geogrid–silty clay interface under cyclic loading through a combination of laboratory cyclic direct shear tests and numerical simulations. The effects of geogrid roughness, soil moisture content, shear displacement amplitude, and normal stress on the [...] Read more.
This study investigates the macro–meso shear characteristics of the geogrid–silty clay interface under cyclic loading through a combination of laboratory cyclic direct shear tests and numerical simulations. The effects of geogrid roughness, soil moisture content, shear displacement amplitude, and normal stress on the interface behavior are systematically analyzed. The results show that the interface shear strength and shear stiffness exhibit a three-stage evolution with increasing cycle numbers. This evolution is characterized by rapid attenuation in the early stage, gradual change in the middle stage, and stabilization in the later stage. The main degradation occurs within the first 1–10 cycles, while the interface response tends to stabilize after approximately 25 cycles. Increasing geogrid roughness and normal stress significantly enhances the interface shear strength and restrains cyclic degradation. In contrast, the shear strength reaches a maximum at the optimum moisture content level of 13%. The damping ratio shows an opposite trend to stiffness, increasing with cycle number and gradually approaching stability. Numerical simulation results are in good agreement with the experimental data, with relative errors within 5%. At the mesoscopic level, shear stress is mainly concentrated at the intersections of geogrid ribs, and the soil zone within 0–20 mm above the interface is identified as the primary region of shear deformation. Full article
(This article belongs to the Section Environmental Aspects in Colloid and Interface Science)
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16 pages, 14066 KB  
Article
Joint Modulation Format Identification and OSNR Monitoring Based on Amplitude-Analytic Complex Planes for Digital Coherent Receivers
by Ruyue Xiao, Ming Hao, Shuang Liang, Weigang Hou and Jianming Tang
Photonics 2026, 13(5), 422; https://doi.org/10.3390/photonics13050422 - 24 Apr 2026
Viewed by 426
Abstract
Joint modulation format identification (MFI) and optical signal-to-noise ratio (OSNR) monitoring constitutes one of the most critical functions integrated in digital coherent receivers, ensuring high flexibility and stability in elastic optical networks (EONs). Since signal amplitude information captures inherent characteristics associated with modulation [...] Read more.
Joint modulation format identification (MFI) and optical signal-to-noise ratio (OSNR) monitoring constitutes one of the most critical functions integrated in digital coherent receivers, ensuring high flexibility and stability in elastic optical networks (EONs). Since signal amplitude information captures inherent characteristics associated with modulation formats and fluctuations induced by OSNR variations, a simple and effective optical performance monitoring (OPM) scheme based on an amplitude-analytic complex plane is proposed. By employing a multi-task learning algorithm incorporating the multi-order gated aggregation (MOGA) module, the proposed scheme enables simultaneous MFI and OSNR monitoring for polarization division multiplexed (PDM)-QPSK/-16QAM/-32QAM/-64QAM/-128QAM signals. The performance of the proposed scheme is numerically verified in 28 GBaud coherent optical communication systems of various configurations. Numerical simulation results show that 100% identification accuracy is obtainable for all five modulation formats, even at OSNR values lower than the corresponding theoretical 20% forward error correction (FEC) limit. Meanwhile, the mean absolute error (MAE) of OSNR monitoring for QPSK, 16QAM, 32QAM, 64QAM, and 128QAM are 0.16 dB, 0.15 dB, 0.17 dB, 0.28 dB, and 0.33 dB, respectively. Furthermore, simulation results show that the proposed scheme is robust to residual chromatic dispersion (CD) and the nonlinear effects with strong generalization capability. These results suggest that the proposed scheme is promising for applications in next-generation EONs. Full article
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36 pages, 21537 KB  
Article
Study on the Coupled Dynamics of a Catamaran Hovercraft Wind Farm Service Vessel with a Turbine Tower in Transverse Waves
by Jinglei Yang, Xiaochun Huang, Haibin Wang, Zhipeng Deng, Shengzhe Shi, Xiaowen Li and Tong Cui
J. Mar. Sci. Eng. 2026, 14(8), 725; https://doi.org/10.3390/jmse14080725 - 14 Apr 2026
Viewed by 332
Abstract
This paper studies the dynamic behavior of a catamaran hovercraft wind farm service vessel (CHWFSV) during the berthing coupling process with a wind turbine tower, aiming to enhance its safety and reliability in engineering applications. By constructing an arc-shaped elastic fender and employing [...] Read more.
This paper studies the dynamic behavior of a catamaran hovercraft wind farm service vessel (CHWFSV) during the berthing coupling process with a wind turbine tower, aiming to enhance its safety and reliability in engineering applications. By constructing an arc-shaped elastic fender and employing computational fluid dynamics (CFD), it investigates the motion response under transverse waves considering the effects of thrust, air-cushion flow and the elasticity coefficient of the fender. A finite element analysis (FEA) model of the arc-shaped fender, accounting for elastic stress and strain, is developed to study its coupled mechanical behavior under different thrust conditions. The research in this paper is based on numerical CFD simulation with experimental validation. The motion modeling under transverse waves is further verified through uncertainty analysis. The series of research results indicate the following: vessel rolling resonance occurs at λ/L = 1.667 (λ/L denotes the dimensionless wavelength-to-length ratio); increasing air-cushion flow extends the roll period and reduces roll amplitude at λ/L = 0.667, while applying thrust at λ/L = 1.667~3 lowers roll but reduces pitch and heave stability; relatively good berthing performance is achieved when FCM/∆ = 0.054 and the elastic coefficient is 1.25 × 107 Pa/m (Δ represents the vessel weight). Full article
(This article belongs to the Special Issue CFD Applications in Ship and Offshore Hydrodynamics (2nd Edition))
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32 pages, 7098 KB  
Article
Nonlinear Behavior and Dynamic Properties of Cohesive Soil Under Seismic Cyclic Loading Considering Strain History Effects
by Yue Zhang, Yaodong Xue, Zhubing Zhu, Yuhan Sun, Sen Lin, Haibo Wang, Liren Ban and Kai Wang
Buildings 2026, 16(8), 1535; https://doi.org/10.3390/buildings16081535 - 14 Apr 2026
Viewed by 286
Abstract
In earthquake engineering and hydraulic engineering, the dynamic mechanical behavior of cohesive soils is crucial to ensure structural stability. However, most existing dynamic constitutive models fail to adequately account for the influence of strain history, which is essential for accurately predicting soil behavior [...] Read more.
In earthquake engineering and hydraulic engineering, the dynamic mechanical behavior of cohesive soils is crucial to ensure structural stability. However, most existing dynamic constitutive models fail to adequately account for the influence of strain history, which is essential for accurately predicting soil behavior under seismic loading. This study conducted a series of cyclic single-shear tests on both in situ and disturbed Changsha cohesive soils. Hysteresis curves were obtained under varying shear strain amplitudes to investigate the degradation patterns of the dynamic shear modulus and the evolution of the damping ratio. Furthermore, multi-cycle loading tests under constant strain amplitude were carried out to clarify the correlation between damping ratio, dynamic shear modulus, and the number of loading cycles. A simplified practical dynamic model, applicable to general cohesive soils, is proposed. This model incorporates the effect of strain history and provides a valuable reference for analyzing the dynamic response of soils subjected to earthquake actions. Full article
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28 pages, 5694 KB  
Article
A Chaotic Signal Denoising Method Based on Feature Mode Decomposition and Amplitude-Aware Permutation Entropy
by Zixiao Huang and Liang Xie
Symmetry 2026, 18(4), 651; https://doi.org/10.3390/sym18040651 - 13 Apr 2026
Viewed by 322
Abstract
Chaotic signals commonly exhibit nonlinear and nonstationary characteristics, while noise contamination reduces signal interpretability and degrades subsequent feature extraction and dynamical analysis. To improve the stability of mode-boundary determination and mitigate reconstruction distortion, this paper proposes a hybrid denoising framework that integrates feature [...] Read more.
Chaotic signals commonly exhibit nonlinear and nonstationary characteristics, while noise contamination reduces signal interpretability and degrades subsequent feature extraction and dynamical analysis. To improve the stability of mode-boundary determination and mitigate reconstruction distortion, this paper proposes a hybrid denoising framework that integrates feature mode decomposition (FMD), amplitude-aware permutation entropy (AAPE), dual-tree complex wavelet transform (DTCWT), and Savitzky–Golay (SG) filtering. First, the noisy signal is decomposed into multiple mode components using FMD. Then, the AAPE of each mode is calculated to adaptively distinguish high-frequency noise-dominant modes from non-high-frequency modes. For the high-frequency noise-dominant modes, improved logarithmic threshold shrinkage is applied to the magnitudes of DTCWT complex coefficients to suppress random noise and reduce threshold-induced bias. For the non-high-frequency modes, SG filtering is employed to further attenuate residual noise while preserving local waveform structures. Finally, the processed modes are reconstructed to obtain the denoised signal. Experiments on a simulated Lorenz chaotic signal and a real-world sunspot time series demonstrate that, across different noise levels, AAPE provides more stable mode partitioning than ApEn, CC, and CMSE. Moreover, under Gaussian white noise, Poisson noise, and uniform noise, the proposed method generally achieves a higher output signal-to-noise ratio (SNR) and a lower root mean square error (RMSE) than WT, CEEMD, EEMD, CEEMDAN+LMS, and VMD, while also yielding better performance in phase-space reconstruction and temporal-detail recovery. These results verify the effectiveness and practical applicability of the proposed method for chaotic signal denoising. Full article
(This article belongs to the Section Mathematics)
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19 pages, 18293 KB  
Article
Differential Protection Based on Virtual Short-Circuit Current Considering Both Grid-Forming Inverter and Grid-Following Inverter for New Energy Bases
by Zehua Su, Qian Chen, Sijin Wang, Zhehan Qin and Jingyu Gao
Energies 2026, 19(8), 1853; https://doi.org/10.3390/en19081853 - 9 Apr 2026
Viewed by 480
Abstract
The rapid development of renewable energy generation, now increasingly integrated through centralized new energy bases, is propelled by government strategy and enabling technologies. The demand for inverters to connect new energy sources results in a short-circuit current that is both amplitude-limited and highly [...] Read more.
The rapid development of renewable energy generation, now increasingly integrated through centralized new energy bases, is propelled by government strategy and enabling technologies. The demand for inverters to connect new energy sources results in a short-circuit current that is both amplitude-limited and highly non-linear. This characteristic makes traditional relay protection methods poorly adapted, introducing significant safety and stability hazards within new energy bases. Therefore, a current differential protection method based on a virtual short-circuit current is proposed in this study. The virtual short-circuit current is calculated based on the ratio of the inverter’s internal modulation coefficient, within the controller of both grid-forming (GFM) and grid-following (GFL) inverters, before and during a short-circuit fault in the grid. That is, the short-circuit current output from the inverter is the same as that output from a traditional synchronous generator with the same generation capacity. Consequently, the trip criterion based on RMS (Root Mean Square) measurement is satisfied, and the traditional differential protection method remains applicable. It is verified by simulation cases that the aforementioned differential protection method based on a virtual short-circuit current is correct and adaptable for new energy bases. Full article
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19 pages, 2244 KB  
Article
Effects of Formulation and Processing Variables on the Rheology of Chitosan–Vanillin-Stabilized Olive Oil–Water Emulsions for Oleogel Applications
by Leticia Montes, David Rey, Ramón Moreira and Daniel Franco
Foods 2026, 15(7), 1233; https://doi.org/10.3390/foods15071233 - 4 Apr 2026
Viewed by 436
Abstract
The rheological behavior of chitosan–vanillin crosslinked olive oil-in-water emulsions (Φ = 0.52) was investigated to identify formulation and processing conditions suitable for designing oleogel precursors. The effects of homogenization conditions, reaction temperature, chitosan concentration, vanillin-to-chitosan molar ratio, and non-ionic surfactants were systematically evaluated. [...] Read more.
The rheological behavior of chitosan–vanillin crosslinked olive oil-in-water emulsions (Φ = 0.52) was investigated to identify formulation and processing conditions suitable for designing oleogel precursors. The effects of homogenization conditions, reaction temperature, chitosan concentration, vanillin-to-chitosan molar ratio, and non-ionic surfactants were systematically evaluated. Surfactant-free emulsions exhibited a structured, gel-like response and non-thixotropic shear-thinning flow, which was well described by the Herschel–Bulkley model within the investigated shear-rate range. Optimal homogenization (4 min, ≥9500 rpm) refined the microstructure without compromising stability. Increasing the reaction temperature to 55 °C, the chitosan concentration to ~0.9% (w/w), and the vanillin-to-chitosan molar ratio to 0.7 maximized yield stress, consistency, and thermal robustness, consistent with enhanced network formation. In contrast, Tween® surfactants produced divergent responses, increasing small-amplitude oscillatory stiffness while markedly reducing resistance under steady shear, likely due to surfactant-driven interfacial displacement. Among the tested surfactants, Tween® 20 provided the highest thermal stability. Overall, these results define processing and formulation windows to obtain surfactant-free, structured emulsions with improved structuring performance, supporting their use as effective templates for olive oil oleogel development. Full article
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26 pages, 4520 KB  
Article
Effects of Cone Segment Configuration on the Classification Performance of Hydrocyclones
by Xiaoxiao Cai and Hao Lu
Separations 2026, 13(4), 111; https://doi.org/10.3390/separations13040111 - 3 Apr 2026
Viewed by 440
Abstract
As an efficient solid–liquid separation device, the hydrocyclone is widely applied in various industrial fields such as coal preparation and oil impurity removal, and its classification performance directly determines the efficiency of industrial separation operations., As the core separation zone of the hydrocyclone, [...] Read more.
As an efficient solid–liquid separation device, the hydrocyclone is widely applied in various industrial fields such as coal preparation and oil impurity removal, and its classification performance directly determines the efficiency of industrial separation operations., As the core separation zone of the hydrocyclone, the cone segment, its structure and the number of cone angles directly affect the flow field distribution characteristics and particle classification performance of the hydrocyclone. To reveal the regulation mechanism of the combined cone angles on the classification performance of hydrocyclones, numerical analysis and experimental verification methods were adopted to investigate the internal flow field and classification performance of hydrocyclones under different cone angle combinations. The evolution laws of velocity field, pressure field, turbulence characteristics, and particle classification effect under different configurations were systematically explored. The results show that the basic characteristics of the core flow field of the hydrocyclone do not change essentially with the increase in the number of cone segments, but the amplitude, distribution, and stability of flow field parameters are significantly regulated. The three-cone configuration achieves the optimal flow field synergy effect: the amplitude of the high turbulence intensity zone is lower and concentrated near the central axis; the zero-velocity envelope surface is stably maintained at approximately 8 mm in the core separation zone; and the full axial fluctuation of the air core is gentle, which effectively inhibits random particle diffusion and flow pattern mixing. In terms of separation performance, the three-cone configuration exhibits the highest classification efficiency in the core range of sub-coarse particles (10~30 μm), with the cut size (approximately 17.5 μm) in a reasonable range, the steepness index reaching a peak value (approximately 0.55), and the pressure drop (approximately 1.8 × 105 Pa) and split ratio (2.8%) achieving synergistic optimization, balancing separation accuracy and energy consumption control. The single-cone configuration causes flow field disturbance due to the one-time contraction of the flow channel, while the four-cone configuration falls into the dilemma of “high pressure drop–marginal performance gain”, and neither achieves optimal performance. The regulation law of the number of cone segments revealed in this study provides a scientific basis for the structural optimization and engineering application of multi-cone hydrocyclones, and is of great significance for improving the particle classification efficiency in fields such as wastewater treatment and mineral processing. Full article
(This article belongs to the Section Separation Engineering)
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21 pages, 2146 KB  
Article
Resolution of Creatinine Interference in Dexamethasone Sodium Phosphate Injectable Preparations: A Validated First-Order Derivative Spectrophotometric Method Using Matrix Matching and Zero-Crossing Point Interpolation
by Daniela-Mădălina Anghel, Anne-Marie Ciobanu, Daniela-Luiza Baconi, Mircea Bogdan Măciuceanu Zărnescu and George Traian Alexandru Burcea-Dragomiroiu
AppliedChem 2026, 6(2), 23; https://doi.org/10.3390/appliedchem6020023 - 2 Apr 2026
Viewed by 523
Abstract
Background: The quantification of Dexamethasone Sodium Phosphate (DSP) in injectable formulations is significantly hindered by the spectral overlap of the stabilizer creatinine within the UV region. This study aims to develop a green first-order derivative (D1) spectrophotometric method to resolve this [...] Read more.
Background: The quantification of Dexamethasone Sodium Phosphate (DSP) in injectable formulations is significantly hindered by the spectral overlap of the stabilizer creatinine within the UV region. This study aims to develop a green first-order derivative (D1) spectrophotometric method to resolve this analytical challenge. Methods: Distilled water was utilized as a sustainable solvent, aligning with green chemistry principles. To ensure high specificity, a matrix-matching calibration strategy with a constant 1:2 (w/w) DSP:creatinine mass ratio across the entire concentration range was employed. DSP was determined using the zero-crossing technique, measuring the D1 amplitude at λZC ≅ 231.3 nm, where the creatinine contribution is nullified. Results: Linearity was established for DSP concentrations between 4.0–16.0 μg/mL (R2 > 0.99). Method validation, as per ICH Q2 (R1) guidelines (International Council for Harmonisation of Technical Requirements for Pharmaceuticals for Human Use), demonstrated excellent accuracy (mean recovery of 99.85%) and precision (RSD < 2%). Conclusions: The proposed method offers a rapid, cost-effective, and eco-friendly alternative for the routine quality control of DSP injectables, eliminating the necessity for complex chromatographic separation techniques. Full article
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16 pages, 1696 KB  
Article
Stochastic Dynamics of Nonlinear Piezoelectric Vibration Energy Harvesting System with Inelastic Impact
by Li Liu, Lili Tian, Meng Su and Hongge Yue
Entropy 2026, 28(4), 400; https://doi.org/10.3390/e28040400 - 1 Apr 2026
Viewed by 397
Abstract
Because the introduction of a vibro-impact structure can widen the bandwidth and improve the harvesting efficiency of the vibration energy harvesting (VEH) systems, an analytical method for a VEH system based on vibro-impact is proposed to employ the stochastic response and stability. Firstly, [...] Read more.
Because the introduction of a vibro-impact structure can widen the bandwidth and improve the harvesting efficiency of the vibration energy harvesting (VEH) systems, an analytical method for a VEH system based on vibro-impact is proposed to employ the stochastic response and stability. Firstly, the piezoelectric control equation is decoupled by the generalized harmonic transformation, which obtains an uncoupled equivalent system. Secondly, the Itô stochastic differential equation with amplitude is analytically derived by applying the proposed analytical method. Furthermore, the influence of crucial parameters on the mean square voltage (MSV) and the mean output power is explored, such as the coupling factors and restitution coefficient. Finally, the top Lyapunov exponent (TLE) can be derived based on the linearized averaged Itô equations and the condition for the stability with probability one is obtained. It turned out that restitution coefficient r and time constant ratio μ have remarkable effects on the system’s stability. Full article
(This article belongs to the Section Complexity)
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