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Search Results (739)

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Keywords = flow velocity gradient

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22 pages, 5486 KB  
Article
CFD Simulation and Analysis of Velocity, Temperature, and Pressure Fields for Salt-Carrying Steam Flow in a U-Bend Tube
by Genying Gao, Mingyu Luan, Hanzeng Cheng, Junde Liu, Yang Yang and Lei Deng
Processes 2025, 13(11), 3379; https://doi.org/10.3390/pr13113379 - 22 Oct 2025
Viewed by 140
Abstract
To investigate the influence of salt transport in water–steam mixtures on flow and heat transfer and to ensure the operational safety of steam injection boilers, this study simulated the behavior of high-dryness steam carrying salts in U-tubes. The analysis focused on three representative [...] Read more.
To investigate the influence of salt transport in water–steam mixtures on flow and heat transfer and to ensure the operational safety of steam injection boilers, this study simulated the behavior of high-dryness steam carrying salts in U-tubes. The analysis focused on three representative substances—silica, hematite, and calcium carbonate—to evaluate their effects on flow and heat transfer characteristics under varying conditions. The simulation results show that under specified operating conditions, vortices induced by rotational flow lead to complex flow behavior in U-tubes, with transitions from stratified flow to annular flow and back to stratified flow. The effects of salt precipitation on the temperature, velocity, and pressure fields of the boiling flow were also examined. The findings indicate that for pure water, large gradients and multiple vortices adversely affect flow stability, whereas the introduction of small amounts of salts provides localized stabilization in regions of the fluid away from the wall. Full article
(This article belongs to the Special Issue Transport Processes in Single- and Multi-Phase Flow Systems)
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17 pages, 2360 KB  
Article
Gas–Water Two-Phase Flow Mechanisms in Deep Tight Gas Reservoirs: Insights from Nanofluidics
by Xuehao Pei, Li Dai, Cuili Wang, Junjie Zhong, Xingnan Ren, Zengding Wang, Chaofu Peng, Qihui Zhang and Ningtao Zhang
Nanomaterials 2025, 15(20), 1601; https://doi.org/10.3390/nano15201601 - 21 Oct 2025
Viewed by 175
Abstract
Understanding gas–water two-phase flow mechanisms in deep tight gas reservoirs is critical for improving production performance and mitigating water invasion. However, the effects of pore-throat-fracture multiscale structures on gas–water flow remain inadequately understood, particularly under high-temperature and high-pressure conditions (HT/HP). In this study, [...] Read more.
Understanding gas–water two-phase flow mechanisms in deep tight gas reservoirs is critical for improving production performance and mitigating water invasion. However, the effects of pore-throat-fracture multiscale structures on gas–water flow remain inadequately understood, particularly under high-temperature and high-pressure conditions (HT/HP). In this study, we developed visualizable multiscale throat-pore and throat-pore-fracture physical nanofluidic chip models (feature sizes 500 nm–100 μm) parameterized with Keshen block geological data in the Tarim Basin. We then established an HT/HP nanofluidic platform (rated to 240 °C, 120 MPa; operated at 100 °C, 100 MPa) and, using optical microscopy, directly visualized spontaneous water imbibition and gas–water displacement in the throat-pore and throat-pore-fracture nanofluidic chips and quantified fluid saturation, front velocity, and threshold pressure gradients. The results revealed that the spontaneous imbibition process follows a three-stage evolution controlled by capillarity, gas compression, and pore-scale heterogeneity. Nanoscale throats and microscale pores exhibit good connectivity, facilitating rapid imbibition without significant scale-induced resistance. In contrast, 100 μm fractures create preferential flow paths, leading to enhanced micro-scale water locking and faster gas–water equilibrium. The matrix gas displacement threshold gradient remains below 0.3 MPa/cm, with the cross-scale Jamin effect—rather than capillarity—dominating displacement resistance. At higher pressure gradients (~1 MPa/cm), water is efficiently expelled to low saturations via nanoscale throat networks. This work provides an experimental platform for visualizing gas–water flow in multiscale porous media under ultra-high temperature and pressure conditions and offers mechanistic insights to guide gas injection strategies and water management in deep tight gas reservoirs. Full article
(This article belongs to the Special Issue Nanomaterials and Nanotechnology for the Oil and Gas Industry)
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19 pages, 5014 KB  
Article
Environmental Drivers of Macrozoobenthos Structure Along a Discontinuous Tributary of the Oder River (North-Western Poland)
by Nadhira Benhadji, Jarosław Dąbrowski, Adam Brysiewicz, Przemysław Czerniejewski and Łukasz Hałasa
Water 2025, 17(20), 3005; https://doi.org/10.3390/w17203005 - 19 Oct 2025
Viewed by 298
Abstract
The Myśla River, a right-bank tributary of the Oder catchment, was the focus of our study on the impact of environmental parameters on macrozoobenthos diversity and composition. We surveyed 18 sites along the Myśla catchment, from upstream to the outlet, recording environmental features [...] Read more.
The Myśla River, a right-bank tributary of the Oder catchment, was the focus of our study on the impact of environmental parameters on macrozoobenthos diversity and composition. We surveyed 18 sites along the Myśla catchment, from upstream to the outlet, recording environmental features and sampling macrozoobenthos. The taxa composition (31 taxa) was dominated by insect larvae, particularly Diptera Chironomidae, with moderate contributions from mollusc families such as Sphaeriidae, Bithyniidae, and Planorbidae, which are primarily filter-feeders or grazers. Based on environmental affinities, the river was divided into three sections. Sites within lake areas and those with diverse sediment types exhibited the highest biodiversity. Conductivity, flow rate, nitrogen compound levels, dissolved oxygen, suspended particles, and current velocity most strongly influenced biodiversity, while substrate type shaped taxa composition. Lakes heavily disrupt the ecological continuity of the Myśla River, significantly altering natural ecological processes and causing deviations from the River Continuum Concept (RCC), whereas artificial structures exert only minor additional influence. We examined the applicability of the RCC by analyzing macrozoobenthos structure along the upstream-to-downstream gradient. This preliminary study contributes to ongoing regional research, highlighting the role of lakes in shaping the Myśla River ecosystem and assessing the relevance of RCC in unique river systems. Full article
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21 pages, 16021 KB  
Article
Modal Analysis of Vortex-Induced Vibration of Marine Risers Under Dual-Flow Conditions
by Zihan Wen, Yijun Shen, Yongqi Ma, Yanlian Du, Hu Liu and Meng Li
Appl. Sci. 2025, 15(20), 11119; https://doi.org/10.3390/app152011119 - 16 Oct 2025
Viewed by 198
Abstract
Marine risers are susceptible to vortex-induced vibrations (VIV) in complex ocean current environments, posing significant risks to structural safety and fatigue life. This study, conducted on the Ansys Workbench platform, establishes a three-dimensional numerical model using bidirectional fluid–structure interaction (FSI) methods. Wet modal [...] Read more.
Marine risers are susceptible to vortex-induced vibrations (VIV) in complex ocean current environments, posing significant risks to structural safety and fatigue life. This study, conducted on the Ansys Workbench platform, establishes a three-dimensional numerical model using bidirectional fluid–structure interaction (FSI) methods. Wet modal analysis is employed to extract the riser’s natural frequencies, followed by a systematic comparison of vibration responses under uniform flow and linear shear flow conditions. The findings indicate that as the vortex shedding frequency approaches the structural natural frequency, the system exhibits pronounced frequency lock-in. Spectral analysis confirms that VIV dominates the dynamic response. Notably, under initial conditions (uniform flow velocity = 0.5 m/s; shear flow velocity = 0.05 m/s, Gradient = 0.025), shear flow induces larger vibration amplitudes. However, as flow velocity increases, uniform flow surpasses shear flow in both amplitude (maximum 0.03 D) and frequency (maximum 0.02 D). Modal analysis demonstrates that uniform flow excites the fourth-order mode, whereas shear flow confines the system in the second-order mode. Additional controlled simulations highlight the critical influence of the shear flow’s initial velocity on vibration modes, providing a theoretical basis for VIV suppression. Full article
(This article belongs to the Section Marine Science and Engineering)
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14 pages, 577 KB  
Article
The Effect of Random Roughness for Fully Developed Forced Flow in Square Microchannels
by Michele Celli, Leandro Alcoforado Sphaier, Gabriele Volpi, Antonio Barletta and Pedro Vayssière Brandão
Fluids 2025, 10(10), 261; https://doi.org/10.3390/fluids10100261 - 9 Oct 2025
Viewed by 324
Abstract
The role of wall roughness in heat and mass transfer for fully developed viscous flows in square microchannels is investigated here. Since the roughness, which is the key geometrical feature to be investigated, introduces high velocity gradients at the wall, the effect of [...] Read more.
The role of wall roughness in heat and mass transfer for fully developed viscous flows in square microchannels is investigated here. Since the roughness, which is the key geometrical feature to be investigated, introduces high velocity gradients at the wall, the effect of the viscous dissipation is considered. A fully developed flow in the forced convection regime is assumed. This assumption allows the two-dimensional treatment of the problem; thus, the velocity and temperature fields are simulated on the microchannel cross-section. The boundary roughness is modeled by randomly throwing points around the nominal square cross-section perimeter and by connecting those points to generate a simple polygon. This modification of the nominal square shape of the cross-section influences the velocity and temperature fields, which are computed by employing a finite element method solver. The heat and mass transfer is studied by calculating the Nusselt and the Poiseuille numbers as a function of roughness amplitude at the boundary. Each Nusselt and Poiseuille number is obtained by employing an averaging procedure over a sample of a thousand cases. Full article
(This article belongs to the Special Issue Physics and Applications of Microfluidics)
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23 pages, 6268 KB  
Article
Investigation of Sediment Erosion of the Top Cover in the Francis Turbine Guide Vanes at the Genda Power Station
by Xudong Lu, Kang Xu, Tianlin Li, Yu Xiao, Kailiang Hu, Yaogang Xu and Xiaobing Liu
J. Mar. Sci. Eng. 2025, 13(10), 1923; https://doi.org/10.3390/jmse13101923 - 7 Oct 2025
Viewed by 299
Abstract
This study utilizes the Standard k-ε turbulence model and ANSYS CFX software to tackle silt erosion in the top cover clearances of guide vane of the Francis turbine at Genda Power Station (Minjiang River Basin section, 103°17′ E and 31°06′ N) [...] Read more.
This study utilizes the Standard k-ε turbulence model and ANSYS CFX software to tackle silt erosion in the top cover clearances of guide vane of the Francis turbine at Genda Power Station (Minjiang River Basin section, 103°17′ E and 31°06′ N) under sediment-laden flow conditions. A numerical simulation of a solid–liquid two-phase flow along the whole flow route was performed under rated operating circumstances to examine the impact of varying guide vane end clearance heights (0.3 mm, 0.5 mm, and 1.0 mm) on internal flow patterns and sediment erosion characteristics. The simulation parameters employed an average sediment concentration of 2.9 kg/m3 and a median particle size of 0.058 mm, indicative of the flood season. The findings demonstrate that augmenting the clearance height intensifies leaky flow and secondary flow, resulting in a 0.49% reduction in efficiency. As the gap expanded from 0.3 mm to 1.0 mm, the leakage flow velocity notably increased to 40 m/s, exacerbating flow separation, enlarging the vortex structures in the vaneless space, and augmenting the sediment velocity gradient and concentration, consequently heightening the risk of erosion. An experimental setup was devised based on the numerical results, and the dynamic resemblance between the constructed test section and the prototype turbine was confirmed for flow velocity, concentration, and Reynolds number. Tests on sediment erosion revealed that the erosion resistance of the anti-sediment erosion material 04Cr13Ni5Mo markedly exceeded that of the base cast steel, especially in high-velocity areas. This study delivers a systematic, quantitative analysis of clearance effects on flow and erosion, along with an experimental wear model specifically for the Gengda Power Station, thereby providing direct theoretical support and engineering guidance for its wear protection strategy and maintenance planning. Full article
(This article belongs to the Section Ocean Engineering)
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21 pages, 3628 KB  
Article
Uncertainty Propagation for Power-Law, Bingham, and Casson Fluids: A Comparative Stochastic Analysis of a Class of Non-Newtonian Fluids in Rectangular Ducts
by Eman Alruwaili and Osama Hussein Galal
Mathematics 2025, 13(18), 3030; https://doi.org/10.3390/math13183030 - 19 Sep 2025
Viewed by 287
Abstract
This study presents a novel framework for uncertainty propagation in power-law, Bingham, and Casson fluids through rectangular ducts under stochastic viscosity (Case I) and pressure gradient conditions (Case II). Using the computationally efficient Stochastic Finite Difference Method with Homogeneous Chaos (SFDHC), validated via [...] Read more.
This study presents a novel framework for uncertainty propagation in power-law, Bingham, and Casson fluids through rectangular ducts under stochastic viscosity (Case I) and pressure gradient conditions (Case II). Using the computationally efficient Stochastic Finite Difference Method with Homogeneous Chaos (SFDHC), validated via comparison with quasi-Monte Carlo simulations, we demonstrate significantly lower computational costs across varying Coefficients of Variation (COVs). For viscosity uncertainty (Case I), results show a 0.54–2.8% increase in mean maximum velocity with standard deviations reaching 75.3–82.5% of the COV, where the power-law model exhibits the greatest sensitivity (velocity variations spanning 71.2–177.3% of the mean at COV = 20%). Pressure gradient uncertainty (Case II) preserves mean velocities but produces narrower and symmetric distributions. We systematically evaluate the effects of aspect ratio, yield stress, and flow behavior index on the stochastic velocity response of each fluid. Moreover, our analysis pioneers a performance hierarchy: Herschel–Bulkley fluids show the highest mean and standard deviation of maximum velocity, followed by power-law, Robertson–Stiff, Bingham, and Casson models. A key finding is the extreme fluctuation of the Robertson–Stiff model, which exhibits the most drastic deviations, reaching up to 177% of the average velocity. The significance of fluid-specific stochastic analysis in duct system design is underscored by these results. This is especially critical for non-Newtonian flows, where system performance and reliability are greatly impacted by uncertainties in viscosity and pressure gradient, which reflect actual operational variations. Full article
(This article belongs to the Section E: Applied Mathematics)
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26 pages, 6318 KB  
Article
Nonlinear Flow Model for Calculating Maximum Fracture Spacing in Horizontal Wells Considering Gaussian Distribution of Reservoir Heterogeneity
by Chen Liu, Wenchao Liu and Mingkai Sun
Energies 2025, 18(18), 4965; https://doi.org/10.3390/en18184965 - 18 Sep 2025
Viewed by 240
Abstract
In order to improve production rate, multi-stage fractured horizontal wells are often used to develop tight reservoirs. The fracture spacing has an impact on production. How to determine the optimal fracture spacing (shot spacing) is very important. Firstly, a nonlinear one-dimensional steady non-Darcy [...] Read more.
In order to improve production rate, multi-stage fractured horizontal wells are often used to develop tight reservoirs. The fracture spacing has an impact on production. How to determine the optimal fracture spacing (shot spacing) is very important. Firstly, a nonlinear one-dimensional steady non-Darcy flow model in a stimulated reservoir volume (SRV) area around the main fracture in a tight reservoir is established by introducing the moving boundary theory of low-velocity non-Darcy flow. The model comprehensively considers the heterogeneity of reservoir permeability and porosity, the stress sensitivity of permeability and the low-velocity non-Darcy flow with threshold pressure gradient. In particular, Gaussian distribution function is used to accurately characterize the reservoir heterogeneity. An analytical solution without considering the stress sensitivity is also derived by using L’Hospital’s rule. Secondly, the limit utilization boundary is determined, and then a novel method for calculating the maximum fracture spacing is proposed. The method is effectively applied to an actual well, and the necessity of considering permeability stress sensitivity is verified. Finally, the effects of different fracturing modes (slow descent type, transitional type and rapid descent type) and some characteristic parameters of the Gaussian distribution function on permeability and pressure distribution are analyzed. This presented work provides some theoretical basis and technical guidance for optimizing the fracture spacing of multi-stage fractured horizontal wells in tight reservoirs. In addition, the optimization of fracture spacing needs to consider both the impact on production capacity and the impact of fracturing costs on profits. The optimization of fracture spacing considering economic profits is the direction of future research. Full article
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10 pages, 1341 KB  
Article
Applying Intraoperative Portal Venography in Liver Transplantation Vascular Surgery
by Szu-Kai Wang, Yu-Fan Cheng, Wei-Xiong Lim, Chao-Long Chen, Leung-Chit Tsang, Chun-Yen Yu, Hsien-Wen Hsu, Po-Hsun Huang, Chun-Hua Chiu and Hsin-You Ou
Diagnostics 2025, 15(18), 2321; https://doi.org/10.3390/diagnostics15182321 - 12 Sep 2025
Viewed by 445
Abstract
Background/Aim: Adequate portal inflow is essential for liver graft regeneration following transplantation. Intraoperative portal venography (IOPV) provides real-time assessment of portal vein patency, stenosis, thrombus formation, and portosystemic collaterals. In addition to imaging, portal vein pressure gradient (portal vein pressure minus inferior vena [...] Read more.
Background/Aim: Adequate portal inflow is essential for liver graft regeneration following transplantation. Intraoperative portal venography (IOPV) provides real-time assessment of portal vein patency, stenosis, thrombus formation, and portosystemic collaterals. In addition to imaging, portal vein pressure gradient (portal vein pressure minus inferior vena cava pressure) was also measured. This study assessed the impact of IOPV on surgical decision-making and post-transplant outcomes to establish criteria for patient selection. Methods: From November 2016 to November 2024, 34 liver transplant patients with portal inflow insufficiency (flow velocity < 10 cm/s), large shunts (>1 cm), or portal vein thrombosis underwent IOPV. Of the patients, one received deceased donor liver transplantation (DDLT), and the others received living donor liver transplantation (LDLT). Preoperative computed tomography (CT) and ultrasound (US) assessed portal vein patency, thrombus, and shunts. Postoperative US and CT monitored portal flow and graft regeneration. Results: IOPV influenced surgical planning in all cases, leading to shunt ligation or stenting, and improved portal vein flow velocity from 6.3 (IQR, 0–9.0) to 30.8 (IQR, 22.2–36.7) cm/s (p < 0.001). Adequate inflow was achieved in 32 patients, 2 had persistent low flow or occluded flow owing to severe adhesion after transplant and failure to close large collateral veins. Graft regeneration ranged from 104% to 255% within a year. Conclusions: IOPV is a valuable tool in liver transplantation vascular surgery, optimizing surgical strategies and portal inflow. Early integration into routine practice may improve graft outcomes. Further prospective, longitudinal research is needed to refine patient selection and assess long-term benefits. Full article
(This article belongs to the Section Medical Imaging and Theranostics)
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22 pages, 2718 KB  
Article
Prediction of Time Variation of Local Scour Depth at Bridge Abutments: Comparative Analysis of Machine Learning
by Yusuf Uzun and Şerife Yurdagül Kumcu
Water 2025, 17(17), 2657; https://doi.org/10.3390/w17172657 - 8 Sep 2025
Viewed by 689
Abstract
Computing the temporal variation in clearwater scour depth around abutments is important for bridge foundation design. To reach the equilibrium scour depth at bridge abutments takes a very long time. However, the corresponding times under prototype conditions can yield values significantly greater than [...] Read more.
Computing the temporal variation in clearwater scour depth around abutments is important for bridge foundation design. To reach the equilibrium scour depth at bridge abutments takes a very long time. However, the corresponding times under prototype conditions can yield values significantly greater than the time to reach the design flood peak. Therefore, estimating the temporal variation in scour depth is necessary. This study evaluates multiple machine learning (ML) models to identify the most accurate method for predicting scour depth (Ds) over time using experimental data. The dataset of 3275 records, including flow depth (Y), abutment length (L), channel width (B), velocity (V), time (t), sediment size (d50), and Ds, was used to train and test Linear Regression (LR), Random Forest Regressor (RFR), Support Vector Regression (SVR), Gradient Boosting (GBR), XGBoost, LightGBM, and KNN models. Results demonstrated the superior performance of AI-based models over conventional regression. The RFR model achieved the highest accuracy (R2 = 0.9956, Accuracy = 99.73%), followed by KNN and GBR. In contrast, the conventional LR model performed poorly (R2 = 0.4547, Accuracy = 57.39%). This study confirms the significant potential of ML, particularly ensemble methods, to provide highly reliable scour predictions, offering a robust tool for enhancing bridge design and safety. Full article
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18 pages, 2340 KB  
Article
Study on Configuration Design and Numerical Simulation of Twin-Screw Extruder Cooling Die Based on Pea Protein Isolate Flow Properties
by Miao Yang, Xun Zhang, Min Wu, Tianqi Zhang, Fanglei Zou and Shuqi Yang
Foods 2025, 14(17), 3137; https://doi.org/10.3390/foods14173137 - 8 Sep 2025
Viewed by 654
Abstract
This study developed an optimized cooling die configuration to improve the fibrous structure and texture of protein extrudates. Six designs, combining three cross-sectional shapes and two flow channel layouts, were evaluated through numerical simulations based on the physical properties of pea protein isolate [...] Read more.
This study developed an optimized cooling die configuration to improve the fibrous structure and texture of protein extrudates. Six designs, combining three cross-sectional shapes and two flow channel layouts, were evaluated through numerical simulations based on the physical properties of pea protein isolate (PPI) and extrusion parameters. The results show that PPI exhibits pronounced shear-thinning behavior, with viscosity decreasing by more than 85% as the temperature increases from 35 °C to 135 °C. Among all designs, the rectangular outlet with a serpentine cooling channel performed best, showing a center-to-wall temperature difference of 12.4 °C compared with 7.8 °C for the circular die, a 35% higher heat transfer coefficient, a wall-to-center viscosity ratio of 7.4 compared with 4.9 for the square die and 3.7 for the circular die, and a maximum wall shear rate of 3.42 s−1 compared with 2.15 s−1 for the circular die. The rectangular outlet increases the center-to-wall temperature gradient, while the serpentine channel extends the flow path to raise shear and velocity gradients, together promoting fiber alignment and improving the structure of plant-based meat. These findings provide a theoretical foundation for cooling die optimization and offer a practical approach to control fiber formation in plant-based meat. Full article
(This article belongs to the Special Issue Application of Extrusion Technology in Food Science)
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19 pages, 6638 KB  
Article
High-Temperature Degradation of Throttling Performance in While-Drilling Jars Induced by Thermal Expansion and Fluid Rheology
by Zhaoyang Zhao, Zhanghua Lian, Hao Yu, Wei Sun, Senyan Liu, Zhiyong Wan and Jiachang Nie
Machines 2025, 13(9), 824; https://doi.org/10.3390/machines13090824 - 7 Sep 2025
Viewed by 462
Abstract
During deep and ultra-deep well drilling operations, the throttling performance of the hydraulic-while-drilling jar is significantly affected by the combined influence of temperature-induced differential thermal expansion among components and changes in the rheological properties of hydraulic oil. These effects often lead to unstable [...] Read more.
During deep and ultra-deep well drilling operations, the throttling performance of the hydraulic-while-drilling jar is significantly affected by the combined influence of temperature-induced differential thermal expansion among components and changes in the rheological properties of hydraulic oil. These effects often lead to unstable jarring behavior or even complete failure to trigger jarring during stuck pipe events. Here, we propose a high-temperature degradation evaluation model for the throttling performance of the throttle valve in an HWD jar based on thermal expansion testing of individual components and high-temperature rheological experiments of hydraulic oil. By using the variation characteristics of the throttling passage geometry as a linkage, this model integrates the thermo-mechanical coupling of the valve body with flow field simulation. Numerical results reveal that fluid pressure decreases progressively along the flow path through the throttle valve, while flow velocity increases sharply at the channel entrance and exhibits mild fluctuations within the throttling region. Under fluid compression, the throttling areas of both the upper and lower valves expand to some extent, with their spatial distributions closely following the pressure gradient and decreasing gradually along the flow direction. Compared with ambient conditions, thermal expansion under elevated temperatures causes a more pronounced increase in throttling area. Additionally, as hydraulic oil viscosity decreases with increasing temperature, flow velocities and mass flow rates rise significantly, leading to a marked deterioration in the throttling performance of the drilling jar under high-temperature downhole conditions. Full article
(This article belongs to the Section Machine Design and Theory)
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24 pages, 3537 KB  
Article
Deep Reinforcement Learning Trajectory Tracking Control for a Six-Degree-of-Freedom Electro-Hydraulic Stewart Parallel Mechanism
by Yigang Kong, Yulong Wang, Yueran Wang, Shenghao Zhu, Ruikang Zhang and Liting Wang
Eng 2025, 6(9), 212; https://doi.org/10.3390/eng6090212 - 1 Sep 2025
Viewed by 604
Abstract
The strong coupling of the six-degree-of-freedom (6-DoF) electro-hydraulic Stewart parallel mechanism manifests as adjusting the elongation of one actuator potentially inducing motion in multiple degrees of freedom of the platform, i.e., a change in pose; this pose change leads to time-varying and unbalanced [...] Read more.
The strong coupling of the six-degree-of-freedom (6-DoF) electro-hydraulic Stewart parallel mechanism manifests as adjusting the elongation of one actuator potentially inducing motion in multiple degrees of freedom of the platform, i.e., a change in pose; this pose change leads to time-varying and unbalanced load forces (disturbance inputs) on the six hydraulic actuators; unbalanced load forces exacerbate the time-varying nature of the acceleration and velocity of the six hydraulic actuators, causing instantaneous changes in the pressure and flow rate of the electro-hydraulic system, thereby enhancing the pressure–flow nonlinearity of the hydraulic actuators. Considering the advantage of artificial intelligence in learning hidden patterns within complex environments (strong coupling and strong nonlinearity), this paper proposes a reinforcement learning motion control algorithm based on deep deterministic policy gradient (DDPG). Firstly, the static/dynamic coordinate system transformation matrix of the electro-hydraulic Stewart parallel mechanism is established, and the inverse kinematic model and inverse dynamic model are derived. Secondly, a DDPG algorithm framework incorporating an Actor–Critic network structure is constructed, designing the agent’s state observation space, action space, and a position-error-based reward function, while employing experience replay and target network mechanisms to optimize the training process. Finally, a simulation model is built on the MATLAB 2024b platform, applying variable-amplitude variable-frequency sinusoidal input signals to all 6 degrees of freedom for dynamic characteristic analysis and performance evaluation under the strong coupling and strong nonlinear operating conditions of the electro-hydraulic Stewart parallel mechanism; the DDPG agent dynamically adjusts the proportional, integral, and derivative gains of six PID controllers through interactive trial-and-error learning. Simulation results indicate that compared to the traditional PID control algorithm, the DDPG-PID control algorithm significantly improves the tracking accuracy of all six hydraulic cylinders, with the maximum position error reduced by over 40.00%, achieving high-precision tracking control of variable-amplitude variable-frequency trajectories in all 6 degrees of freedom for the electro-hydraulic Stewart parallel mechanism. Full article
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16 pages, 398 KB  
Article
Exact Solutions for the Non-Isothermal Poiseuille Flow of a FENE-P Fluid
by Evgenii S. Baranovskii
Polymers 2025, 17(17), 2343; https://doi.org/10.3390/polym17172343 - 29 Aug 2025
Viewed by 729
Abstract
In the present article, we study a nonlinear mathematical model for the steady-state non-isothermal flow of a dilute solution of flexible polymer chains between two infinite horizontal plates. Both plates are assumed to be at rest and impermeable, while the flow is driven [...] Read more.
In the present article, we study a nonlinear mathematical model for the steady-state non-isothermal flow of a dilute solution of flexible polymer chains between two infinite horizontal plates. Both plates are assumed to be at rest and impermeable, while the flow is driven by a constant pressure gradient. The fluid rheology model used is FENE-P type. The flow energy dissipation (mechanical-to-thermal energy conversion) is taken into account by using the Rayleigh function in the heat transfer equation. On the channel walls, we use one-parameter Navier’s conditions, which include a wide class of flow regimes at solid boundaries: from no-slip to perfect slip. Moreover, we consider the case of threshold-type slip boundary conditions, which state the slipping occurs only when the magnitude of the shear stresses overcomes a certain threshold value. Closed-form exact solutions to the corresponding boundary value problems are obtained. These solutions represent explicit formulas for the calculation of the velocity field, the temperature distribution, the pressure, the extra stresses, and the configuration tensor. The results of the work favor better understanding and more accurate description of complex dynamics and energy transfer processes in FENE-P fluid flows. Full article
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13 pages, 6806 KB  
Article
CFD-Based Optimization of the Growth Zone in an Industrial Ammonothermal GaN Autoclave for Uniform Flow and Temperature Fields
by Marek Zak, Pawel Kempisty, Boleslaw Lucznik, Robert Kucharski and Michal Bockowski
Crystals 2025, 15(9), 754; https://doi.org/10.3390/cryst15090754 - 25 Aug 2025
Viewed by 1321
Abstract
This study presents a computational fluid dynamics (CFD) simulation to investigate fluid flow and heat transfer within the growth zone of gallium nitride crystals synthesized via the alkaline ammonothermal method, with particular emphasis on the influence of seed crystal arrangement and installation geometry. [...] Read more.
This study presents a computational fluid dynamics (CFD) simulation to investigate fluid flow and heat transfer within the growth zone of gallium nitride crystals synthesized via the alkaline ammonothermal method, with particular emphasis on the influence of seed crystal arrangement and installation geometry. The model analyzes temperature and velocity distributions, highlighting how seed configuration affects turbulent and transitional flow behavior. Key findings demonstrate the effectiveness of CFD in evaluating and optimizing growth zone design. Both simulation and experimental results show that achieving more uniform flow and temperature fields leads to more consistent growth rates and improved structural crystal quality. Furthermore, the study underscores the critical role of installation geometry in shaping flow characteristics such as velocity distribution, temperature gradients, and their transient fluctuations, factors essential for optimizing the ammonothermal crystallization process. Full article
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