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Mechanical behavior analysis of enhanced railway sleepers for small radius curves 小半径曲线下加强型铁路轨枕力学性能分析
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-03-28 DOI: 10.1007/s40571-025-00947-8
Weize Zhao, Hong Xiao, Xiaotie Li, Zhongxia Qian, Shaolei Wei, Yihao Chi

Subway depots commonly incorporate ultra-small radius curves, particularly in entry and exit lines, where conventional sleepers exhibit limitations in maintaining track geometry. This can lead to track expansion, misalignment, and derailments. An enhanced sleeper with a raised platform was specifically designed for small radius curves in this paper. A field implementation was conducted on a section of the subway entry and exit line with a radius of R = 150 m. Single tie push tests (STPTs) were performed to evaluate the lateral resistance of the enhanced sleeper, type IIIa sleeper, and existing wooden sleepers. Additionally, a discrete element model of the “sleeper-ballast bed” system was developed to analyze the mechanical properties of the sleepers under STPTs and vertical loading conditions. Results showed that the lateral resistance of the existing wooden sleepers was only 4.04 kN, whereas the type IIIa sleepers demonstrated a lateral resistance of 21.96 kN. In contrast, the enhanced sleepers demonstrated a lateral resistance of 25.35 kN, representing a 15.4% increase compared to the type IIIa sleeper. The raised platform of the enhanced sleeper contributed 37.2% of the total lateral resistance value. Under vertical loading, the maximum vertical force on the enhanced sleepers was reduced by 10.3%, and the ballast stressdecreased by 8.1%. These findings indicate that the enhanced sleeper design not only improves track stability in ultra-small radius curves but also reduces maintenance needs and operational costs, offering a significant advancement in subway infrastructure.

地铁车站通常采用超小半径曲线,特别是在出入口线,传统轨枕在保持轨道几何形状方面存在局限性。这可能导致轨道扩张、不对齐和脱轨。本文专门针对小半径曲线设计了一种带凸起平台的加强型轨枕。在地铁出入口线半径R = 150 m的一段进行了现场实施。采用单扎式推杆试验(STPTs)来评估增强轨枕、IIIa型轨枕和现有木质轨枕的横向阻力。此外,建立了“轨枕-压载床”系统的离散元模型,分析了在stpt和垂直载荷条件下轨枕的力学性能。结果表明:现有木质枕木侧阻力仅为4.04 kN,而IIIa型枕木侧阻力为21.96 kN;相比之下,强化型枕木的横向阻力为25.35 kN,比IIIa型枕木增加了15.4%。加强型轨枕的凸起平台占总侧阻力值的37.2%。在垂直载荷作用下,增强轨枕的最大垂直力减小了10.3%,压舱应力减小了8.1%。这些发现表明,增强轨枕设计不仅提高了超小半径曲线下的轨道稳定性,而且减少了维护需求和运营成本,为地铁基础设施提供了重大进步。
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引用次数: 0
A pair potential force model for surface tension calculations with smoothed particle hydrodynamics 光滑质点流体力学计算表面张力的一对势力模型
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-03-26 DOI: 10.1007/s40571-025-00948-7
Elias Santacruz-Yunga, Bernardo Guerrero-Rodríguez, Pablo Silva-Rojas, Richard Pérez-Roa, Leonardo Di G. Sigalotti, Claudia Trejo, Eric Plaza

Smoothed particle hydrodynamics (SPH) is a grid-free numerical method that relies on a Lagrangian description of the fluid. It has been used in a variety of multiphysics applications, including applications to free surface flow problems where surface tension plays a pivotal role. Accurate simulations of surface tension are crucial for a realistic description of multiphase flows and small-scale fluid systems, such as drops and bubbles. This article describes a novel approach based on a pair potential force within the SPH framework that simulates surface tension in a physically consistent manner. The Young–Laplace equation is used to calibrate the force term associated with the cohesive action so that there is a close correspondence between the calculated surface tension and the minimization of the surface area. The performance of the model has been assessed against a number of benchmark tests, including the spherization of cubic drops, the spreading of a drop impacting on a solid surface, and the drop oscillation in a gas environment. A comparison of experimentally obtained pendant drop images with the simulation results for distilled water, ethylene glycol and ethanol drops is also provided as a further validation test. The proposed approach has been shown to be accurate enough to simulate surface tension effects in liquid drops under a variety of dynamical conditions irrespective of the length scale, implying that it is particularly suitable for simulating microfluidic systems.

光滑粒子流体力学(SPH)是一种无网格的数值方法,它依赖于流体的拉格朗日描述。它已被用于各种多物理场应用,包括用于表面张力起关键作用的自由表面流动问题。精确的表面张力模拟对于多相流动和小尺度流体系统(如液滴和气泡)的真实描述至关重要。本文介绍了一种基于SPH框架内的偶势力的新方法,该方法以物理一致的方式模拟表面张力。用Young-Laplace方程来标定与内聚作用有关的力项,使计算得到的表面张力与表面积的最小值之间有密切的对应关系。该模型的性能已通过一系列基准测试进行了评估,包括立方液滴的球化、液滴在固体表面上的扩散以及液滴在气体环境中的振荡。将实验得到的悬垂液滴图像与蒸馏水、乙二醇和乙醇液滴的模拟结果进行了比较,作为进一步的验证试验。所提出的方法已被证明足够精确,可以模拟各种动态条件下液滴的表面张力效应,而不考虑长度尺度,这意味着它特别适合模拟微流体系统。
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引用次数: 0
Mechanical and damage properties study of rocks with different joint inclinations under seepage–stress coupling: insights based on energy theory 渗流-应力耦合作用下不同节理倾角岩石力学与损伤特性研究:基于能量理论的见解
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-03-25 DOI: 10.1007/s40571-025-00942-z
Gang Ma, Manchao He, Jie Hu, Honggang Wu, Wentao Wang, Mingming Ren

To investigate the mechanical and damage properties of rock specimens with different joint inclinations under seepage–stress coupling, a comparative numerical simulation test for different working conditions was developed using RFPA2D-Flow code. The distinction between their mechanical properties was compared and analyzed. The damage properties of rocks with different joint inclinations under seepage–stress coupling were also investigated based on energy theory and regression analysis. A new pre-peak damage constitutive model was established. The results indicated that the peak strength declined and then enhanced with growing joint inclination, and the equivalent elastic modulus increased with growth of joint inclination, but they were both lower than intact rocks. As the joint inclination increases, the peak strain changes in a “W” shape. Based on the energy theory, the peak energy characteristics of rocks with different joint inclinations under seepage–stress coupling were investigated. The linear relationship between U and Ue and Ud before peak stress was obtained employing the regression method, which conforms to the linear energy storage law. Then, a damage constitutive model based on the linear energy storage law for jointed rocks under seepage–stress coupling condition was established, and the initial damage was considered. The stress–strain curves calculated according to the model are more consistent with the experimentally measured curves in the pre-peak stage, which verifies the validity of the model.

为了研究不同节理倾角岩石试件在渗流-应力耦合作用下的力学与损伤特性,利用RFPA2D-Flow软件进行了不同工况下的数值模拟对比试验。对其力学性能进行了比较和分析。基于能量理论和回归分析,研究了不同节理倾角岩石在渗流-应力耦合作用下的损伤特性。建立了一种新的峰值前损伤本构模型。结果表明:峰值强度随节理倾角的增大先减小后增大,等效弹性模量随节理倾角的增大而增大,但均低于完整岩石;随着节理倾角的增大,峰值应变呈“W”型变化。基于能量理论,研究了不同节理倾角岩石在渗流-应力耦合作用下的峰值能量特征。采用回归方法得到峰值应力前U与Ue、Ud之间的线性关系,符合线性储能规律。然后,建立了渗流-应力耦合条件下基于线性蓄能规律的节理岩体损伤本构模型,并考虑了初始损伤;根据模型计算的应力应变曲线与峰前阶段的实测曲线更为吻合,验证了模型的有效性。
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引用次数: 0
Mechanical properties and damage evolution mechanisms of filled cracked red sandstone 充填裂隙红砂岩力学特性及损伤演化机制
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-03-25 DOI: 10.1007/s40571-025-00939-8
Dongmei Huang, Huanhuan Lu, Xin Lu, Baoguo Cui, Xikun Chang, Xiaofeng Hou, Ran Sun

Grouting reinforcement technology is a method to reinforce fractured rock mass in rock engineering. Fillers will change the stress of the fracture, thus affecting the mechanical behavior and cracking behavior of the fractured rock mass. In this paper, uniaxial compression tests were conducted on red sandstone samples containing varying numbers of fractures, and the impact of fillers on the strength characteristics and damage progression in fractured red sandstone was investigated. A numerical simulation of the uniaxial loading process was conducted, examining the influence of fracture and filler presence on mesofailure mechanisms, focusing on mechanical properties, particle displacement and failure modes. The findings indicate that the filled specimens exhibit higher uniaxial compressive strength and elastic modulus compared to the unfilled ones. During the loading process, a phenomenon of stress concentration arises at the interfaces and tips of fractures, which subsequently triggers the formation of numerous microcracks. The emergence of fractures within the specimen leads to a substantial decrease in its crack initiation coefficient. When fractures are filled, the crack initiation coefficient significantly improves, requiring higher stress for failure. The damage evolution can be categorized into four stages: undamaged, initial damage, damage progression and ultimate failure.

注浆加固技术是岩石工程中对裂隙岩体进行加固的一种方法。填料会改变裂隙的应力,从而影响裂隙岩体的力学行为和开裂行为。本文对含不同裂缝数的红砂岩试样进行了单轴压缩试验,研究了填料对裂隙红砂岩强度特性和损伤进展的影响。对单轴加载过程进行了数值模拟,研究了断裂和填料存在对细观破坏机制的影响,重点研究了力学性能、颗粒位移和破坏模式。结果表明:充填后的试件单轴抗压强度和弹性模量均高于未充填的试件;在加载过程中,在断裂界面和尖端处出现应力集中现象,从而引发大量微裂纹的形成。试样内部裂纹的出现导致其裂纹起裂系数大幅降低。当裂缝被填充后,裂纹起裂系数显著提高,破坏需要更高的应力。损伤演化可分为四个阶段:未损伤阶段、初始损伤阶段、损伤进展阶段和最终失效阶段。
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引用次数: 0
A soft EHL model using a particle method 用粒子法建立软EHL模型
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-03-25 DOI: 10.1007/s40571-025-00913-4
Daisuke Yamada, Tetsuro Ninomiya, Shu Hiramoto, Kyuya Matsumoto, Kazuya Shibata, Hideyo Negishi, Kazuaki Maniwa, Shingo Obara

Soft elasto-hydrodynamic lubrication (soft EHL), in which the structure is elastically deformed by the pressure of the fluid film, is ubiquitous in industrial machinery. In soft EHL, the structure has a relatively small Young’s modulus and is elastically deformed by the pressure of the fluid film acting on the structure. In this study, we developed a soft EHL model by coupling the moving particle simulation (MPS) method and the structure deformation equation. The proposed model is based on a particle method and has advantages in predicting complex oil geometries under soft EHL conditions. To validate the accuracy of the proposed model, a soft EHL phenomenon was simulated. As a result, the pressure and cylinder deformation obtained by the proposed model were in good agreement with the reference solutions based on the traditional Reynolds equation. In addition, the simulation efficiency of the proposed model was improved by introducing an extended multi-resolution particle technique.

软弹性流体动力润滑(Soft弹流润滑)在工业机械中无处不在,它是指结构在流体膜的压力下发生弹性变形。在软EHL中,结构具有相对较小的杨氏模量,并且由于流体膜的压力作用于结构而发生弹性变形。在本研究中,我们将移动粒子模拟(MPS)方法与结构变形方程相结合,建立了一个软EHL模型。该模型基于颗粒法,在预测软EHL条件下复杂石油几何形状方面具有优势。为了验证该模型的准确性,对一个软EHL现象进行了模拟。结果表明,该模型得到的压力和圆柱变形与基于传统雷诺方程的参考解吻合较好。此外,通过引入扩展的多分辨率粒子技术,提高了模型的仿真效率。
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引用次数: 0
Numerical study on shear behavior of backfill-rock rough interface considering 3D morphology of surrounding rock in a mining stope 考虑采场围岩三维形貌的回填-岩石粗糙界面剪切特性数值研究
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-03-22 DOI: 10.1007/s40571-025-00935-y
Wenkai Ru, Diyuan Li, Hao Gong, Zhenyu Han, Chenxi Zhang

This study introduces a rough interface construction method that considers the morphology of surrounding rock in mining stopes, applied to backfill-rock samples and numerical models. Using a smooth-joint model in the PFC3D numerical software, accurate contact conditions were achieved at the backfill-rock interface. This approach overcomes the limitations of simplified geometries in capturing the influence of rock morphology on shear behavior. Comparative analysis between experimental and simulation results showed that increasing cement content and normal stress enhances the shear strength of backfill-rock samples. Increased normal stress promoted microcrack propagation in concave regions of rough surfaces, strengthening failure resistance by improving backfill sliding resistance. Conversely, decreased cement content led to rapid microcrack development along mold edges, suggesting that lower cement content reduces shear resistance and influences failure characteristics. The PFC3D simulations successfully replicated stress responses and failure patterns observed in experiments, providing a robust framework for investigating the mechanical behavior and failure mechanisms of backfill-rock interactions. These insights provide a valuable basis for optimizing backfill-rock stability and improving underground mining safety and efficiency.

本文介绍了一种考虑采场围岩形态的粗糙界面构建方法,并将其应用于回填岩体样品和数值模型。利用PFC3D数值模拟软件中的光滑结合部模型,获得了充填岩体界面的精确接触条件。这种方法克服了简化几何在捕捉岩石形态对剪切行为的影响方面的局限性。试验结果与模拟结果的对比分析表明,水泥掺量的增加和法向应力的增加可提高回填岩样的抗剪强度。法向应力的增加促进了粗糙表面凹区微裂纹的扩展,通过提高充填体的抗滑性来增强抗破坏能力。相反,水泥含量的降低导致沿模具边缘的微裂纹快速发展,这表明水泥含量的降低降低了抗剪能力,影响了破坏特征。PFC3D模拟成功地复制了实验中观察到的应力响应和破坏模式,为研究充填体-岩石相互作用的力学行为和破坏机制提供了强有力的框架。这些见解为优化回填岩稳定性,提高地下开采安全性和效率提供了有价值的依据。
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引用次数: 0
The influence of material crushing on screening rate during the screening process based on the DEM-BPM model 基于DEM-BPM模型的筛分过程中物料破碎对筛分率的影响
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-03-21 DOI: 10.1007/s40571-025-00946-9
GuoLang Shen, ZuQuan Xu, Feng Dong, XingGuo Wang, Gong Chen, GangTao Zhang

Screening experiments on friable materials have shown that significant crushing occurs in the rotary vibrating screen; however, many studies have not fully accounted for its impact on screening efficiency. This study investigates kaolin as a research subject to elucidate how material crushing influences screening efficiency. First, the bonded particle model within the discrete element method was employed to generate kaolin particle clusters, simulating their crushing behavior during the sieving process. The vibration frequency and amplitude were optimized through simulation experiments, revealing that a frequency of 13 Hz and an amplitude of 3 mm achieved the optimal balance between screening efficiency and material breakage. Comparative experiments demonstrated that incorporating ultrasonic vibration markedly enhanced screening efficiency. Vibration intensity was further analyzed to validate the accuracy of the selected parameter combination. Finally, physical experiments confirmed the accuracy of the simulation results, demonstrating that moderate crushing positively contributes to overall screening efficiency. This study elucidates the crushing mechanism of friable materials in rotary vibrating screens, providing a scientific basis for optimizing high-efficiency screening processes.

对易碎物料的筛分实验表明,旋转振动筛中存在明显的破碎现象;然而,许多研究并没有充分考虑其对筛选效率的影响。本研究以高岭土为研究对象,探讨物料破碎对筛分效率的影响。首先,采用离散元法中的粘结颗粒模型生成高岭土颗粒团簇,模拟其在筛分过程中的破碎行为;通过仿真实验对振动频率和振幅进行优化,发现频率为13 Hz,振幅为3 mm时,筛分效率和物料破碎率达到最佳平衡。对比实验表明,超声振动的加入显著提高了筛分效率。进一步分析了振动强度,验证了所选参数组合的准确性。最后,物理实验验证了模拟结果的准确性,表明适度破碎有利于整体筛分效率的提高。本研究阐明了易碎物料在振动筛中的破碎机理,为优化高效筛分工艺提供了科学依据。
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引用次数: 0
Quantifying deviation of elasticity in the quasi-elastic domain of granular soils 颗粒土准弹性域弹性偏差量化研究
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-03-21 DOI: 10.1007/s40571-025-00944-x
Wen Deng, Yufan Jin, Pingxin Xia, Qingqing Fu, Xiong Xia, Xiaoxia Guo

The absence of purely elastic properties in granular soil is attributed to the reversible sliding that occurs between particles during the loading–unloading cycle, leading to the dissipation of energy through friction. Instead of the strictly elastic domain, we opt for a quasi-elastic domain to examine elastic behavior within the confines of elastic theory. Within this quasi-elastic realm, the response deviates to some extent from the idealized pure elastic behavior posited by the elastic theory. As a result, the elastic constitutive relations applied to granular materials are no longer strictly accurate and may exhibit deviations. With the aim of exploring the deviation of the elasticity of granular materials from idealized pure elasticity, this paper proposes a quantitative approach to assess deviation of elasticity. Specific metrics are formulated to gauge the proximity to pure elasticity. Cyclic triaxial numerical simulation tests, utilizing the discrete element method and accounting for both spherical and non-spherical particles, are conducted to examine the progression of sliding friction energy dissipation and sliding contacts under shear stress within the quasi-elastic domain. The findings indicate that, both at the micro and macroscales, the evolution of quasi-elasticity can be consistently quantified. The threshold for intrinsic slip rate or energy dissipation rate, which corresponds to the termination of initial elasticity, can serve as a quantifiable measure for determining the effective applicability of elastic theory in soil mechanics.

颗粒土缺乏纯粹的弹性特性是由于在加载-卸载循环中颗粒之间发生可逆滑动,导致能量通过摩擦耗散。而不是严格的弹性域,我们选择一个准弹性域来检查弹性理论范围内的弹性行为。在这种准弹性范围内,响应在一定程度上偏离了弹性理论所假定的理想的纯弹性行为。因此,应用于颗粒材料的弹性本构关系不再严格准确,并可能出现偏差。为了探讨颗粒材料的弹性与理想纯弹性的偏差,本文提出了一种定量评估弹性偏差的方法。制定了特定的度量来衡量与纯弹性的接近程度。利用离散元法和考虑球形和非球形颗粒的循环三轴数值模拟试验,研究了准弹性区域内剪切应力作用下滑动摩擦能量耗散和滑动接触的进展。结果表明,无论在微观还是宏观尺度上,准弹性的演化都可以被一致地量化。固有滑移率或能量耗散率的阈值对应于初始弹性的终止,可以作为确定弹性理论在土力学中的有效适用性的可量化指标。
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引用次数: 0
Numerical analysis of liquid ring vacuum pump by the MPS method considering gas chamber effects and inflow/outflow of liquid and gas 考虑气室效应和液气流入/流出的MPS方法对液环真空泵进行数值分析
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-03-20 DOI: 10.1007/s40571-025-00932-1
Taro Kaito, Kazuya Shibata, Takeshi Takanashi, Naoyuki Yasuda

A numerical method was developed to analyze liquid ring pumps on the basis of the MPS method, which is one of the representative particle methods. A liquid ring pump generates a vacuum by rotating an impeller and creating a liquid ring. The gas is compressed by the liquid ring and is discharged through outlets. The liquid behavior is simulated by the MPS method in two dimensions. The gas pressure, calculated by the equation of state, is used as a boundary condition for the liquid surface pressure. The turbulence effect is calculated by a turbulence model. The effects of inlet and outlet of gas and liquid were considered. The stability and accuracy of the developed method were validated with the experimental data under different suction pressures.

在具有代表性的粒子法之一MPS法的基础上,提出了一种分析液环泵的数值方法。液环泵通过旋转叶轮和形成液环来产生真空。气体被液环压缩后,通过出口排出。用MPS方法在二维上模拟了液体的行为。用状态方程计算的气体压力作为液体表面压力的边界条件。紊流效应通过紊流模型计算。考虑了气液入口和出口的影响。用不同吸力下的实验数据验证了该方法的稳定性和准确性。
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引用次数: 0
Impacts of baffle setting in rotary kiln on pyrolysis movement of pesticide waste salt particles 回转窑挡板设置对农药废盐颗粒热解运动的影响
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-03-18 DOI: 10.1007/s40571-025-00940-1
Yueyan Song, Wenjun Shang, Miao Shang, Zhaomin Wang, Di He

The rotary kiln has been widely used in the chemical pyrolysis industry for decades. This study focused on elucidating the impact of incorporating baffles on the motion of pesticide waste salt (WS) particles during pyrolysis in a rotary kiln. Through discrete element method software simulation, the effects of different baffle lengths (75 cm, 120 cm, and 150 cm) and baffle angles (0°, 15°, and 45°) were investigated to provide valuable insights into predicting the movement and heat transfer of WS. The simulation results indicated that the length of the baffle had a significant impact on the behavior of WS particles with longer baffles resulting in enhanced mean residence time and velocity of particles but the reduced temperature variations. These changes were accompanied by a cyclic pattern of initially rising and subsequently falling velocities. Conversely, the baffle setting angle exhibits an insignificant impact in most cases. Notably, the inclusion of baffles enhanced the elastic forces generated by particle collisions, as well as friction from rolling and relative sliding, which led to enhanced particle dispersion and rotation of WS particles. The findings confirmed that incorporating baffles positively affected both particle movement and heat transfer, thereby relieving the burden associated with subsequent management and disposal processes.

回转窑在化学热解工业中得到了广泛的应用。研究了在回转窑中添加挡板对农药废盐颗粒热解运动的影响。通过离散元法软件模拟,研究了不同挡板长度(75 cm, 120 cm和150 cm)和挡板角度(0°,15°和45°)对WS运动和传热的影响,为预测WS的运动和传热提供了有价值的见解。模拟结果表明,挡板长度对WS颗粒的行为有显著影响,挡板长度增加了颗粒的平均停留时间和速度,但降低了温度变化。这些变化伴随着一种最初速度上升随后速度下降的循环模式。相反,在大多数情况下,挡板设置角度的影响不大。值得注意的是,挡板的加入增强了颗粒碰撞产生的弹性力,以及滚动和相对滑动的摩擦,从而增强了WS颗粒的分散和旋转。研究结果证实,安装挡板对颗粒运动和传热都有积极影响,从而减轻了后续管理和处置过程的负担。
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引用次数: 0
期刊
Computational Particle Mechanics
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