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Research on the deformation and damage process of crushed-rock highway embankment in permafrost areas 冻土地区碎石公路路堤变形与破坏过程研究
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-06 DOI: 10.1007/s40571-024-00728-9
Runmin Zhao, Shuangjie Wang, Xiaoming Huang, Tao Ma, Jianbing Chen, Haoyuan Luo

Since most of the current researches on the crushed-rock interlayer for highway embankment in permafrost region are based on thermal properties, there are few studies on their mechanical deformation characteristics. In order to study the deformation and failure process of crushed-rock interlayer under the long-term settlement deformation of permafrost foundation and to fully consider the discrete characteristics of the crushed-rock interlayer, the finite element model and discrete element model were coupled in this study to accomplish the numerical calculation of long-term settlement deformation of crushed-rock interlayer highway embankment as well as permafrost foundation. The results show that as for the granite blocks adopted in the Gonghe–Yushu expressway, the blocks in the interlayer would be rarely broken, and the deformation of crushed-rock interlayer is mainly caused by the relative movement and rearrangement of the blocks. Based on the calculation results, it is suggested to adopt the uncompacted randomly piled crushed-rock interlayer, which is composed of crushed blocks with more sharp corners. When the size of block varies from 20 to 40 cm, the block size has no obvious effect on the deformation of crushed-rock interlayer, and therefore, the block size could be determined only by the cooling effect of crushed-rock interlayer. At the meantime, the structure layer above the crushed-rock interlayer should also be rigid enough to ensure a smaller uneven settlement value for the superstructure.

由于目前对冻土地区公路路堤用碎石夹层的研究大多基于热工特性,对其力学变形特性的研究较少。为了研究碎石夹层在冻土地基长期沉降变形作用下的变形和破坏过程,并充分考虑碎石夹层的离散特性,本研究将有限元模型和离散元模型耦合,完成了碎石夹层公路路堤以及冻土地基长期沉降变形的数值计算。结果表明,对于共和至玉树高速公路采用的花岗岩砌块,夹层中的砌块很少发生破碎,碎石夹层的变形主要由砌块的相对运动和重新排列引起。根据计算结果,建议采用无压实随机堆积碎石夹层,该夹层由尖角较多的碎石块组成。当砌块尺寸在 20 至 40 cm 之间时,砌块尺寸对碎石夹层变形的影响不明显,因此只能根据碎石夹层的冷却效果来确定砌块尺寸。同时,碎石夹层上方的结构层也应具有足够的刚度,以确保上部结构的不均匀沉降值较小。
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引用次数: 0
Kinetic modeling of dust grain dynamics in electrostatic sieving 静电筛分过程中尘粒动力学建模
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-05 DOI: 10.1007/s40571-024-00729-8
Aaron Berkhoff, Easton Ingram, Fateme Rezaei, Jeffrey Smith, David Bayless, William Schonberg, Daoru Han

A new kinetic particle modeling framework was developed to investigate electrostatic transport of lunar regolith dust particles with applications to the concept of electrostatic sieving. The new approach is based on kinetic particle dynamics and includes major modules of sampling the particle size distribution, solving electric fields, and tracking motion of charged dust grains. A case study for a concept of electrostatic sieving was chosen to validate the new model. The simulation achieved similar performance of particle size classification as reported in the literature. The new model is computationally efficient (takes a few minutes on a PC-type laptop computer) so that researchers can use it as a design and analysis tool to explore large parameter space for system optimization.

开发了一种新的动力学粒子建模框架,用于研究月球碎屑尘粒的静电传输,并将其应用于静电筛分概念。新方法以动力学粒子动力学为基础,包括粒度分布采样、电场求解和带电尘粒运动跟踪等主要模块。为验证新模型,选择了一个静电筛分概念的案例研究。模拟实现了与文献报道类似的粒度分类性能。新模型的计算效率很高(在 PC 型笔记本电脑上只需几分钟),因此研究人员可将其用作设计和分析工具,探索系统优化的大参数空间。
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引用次数: 0
An implicit material point method using a cell-based integration scheme for large deformation static problems 使用基于单元的积分方案的隐式材料点方法,用于解决大变形静态问题
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-04 DOI: 10.1007/s40571-024-00720-3
Jae-Uk Song, Hyun-Gyu Kim

A novel implicit material point method (MPM) using a cell-based integration scheme is proposed to solve large deformation static problems. An incremental weak form based on the updated Lagrangian approach is formulated for the implicit MPM. The volume integrals of the incremental weak form are evaluated at the integration points of grid cells instead of material points, which eliminates the cell-crossing error and reduces the integration error in MPM computations. Grid cells are equally sub-divided into grid cell sub-domains. The centers and the particle volumes of the grid cell sub-domains are, respectively, taken as the integration points and corresponding weights for the numerical integration of the incremental weak form. Particle information is transferred through grid nodes to the integration points of grid cells by using grid shape functions. A volume-weighted nodal averaging scheme is used for transferring the deformation gradient from material particles to grid nodes to correctly consider the particle volumes associated with the deformation gradient. Numerical results show that the present implicit MPM can effectively and efficiently solve large deformation static problems.

本文提出了一种采用基于单元的积分方案的新型隐式材料点法(MPM),用于解决大变形静力问题。为隐式 MPM 制定了基于更新拉格朗日方法的增量弱形式。增量弱形式的体积积分是在网格单元的积分点而不是材料点上求值的,这消除了单元交叉误差,减少了 MPM 计算中的积分误差。网格单元被平均细分为网格单元子域。网格单元子域的中心和粒子体积分别作为增量弱式数值积分的积分点和相应权值。利用网格形状函数将粒子信息通过网格节点传递到网格单元的积分点。采用体积加权节点平均方案将变形梯度从材料颗粒传递到网格节点,以正确考虑与变形梯度相关的颗粒体积。数值结果表明,本隐式 MPM 可以有效且高效地解决大变形静态问题。
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引用次数: 0
Computational 3D-modeling and simulations of generalized heat transport enhancement in cross-fluids with multi-nanoscale particles using Galerkin finite element method 利用 Galerkin 有限元法计算多纳米级粒子交叉流体中广义热传输增强的三维建模与模拟
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-02 DOI: 10.1007/s40571-024-00727-w

Abstract

Using ionized fluids in a magnetic field has numerous applications in engineering and industry. Therefore, heat transport in ionized fluids with thermal memory effects should be predicted using numerical simulations. To achieve this objective, the generalized heat transport in ionized fluid (following a cross-rheological constitutive relation) is modeled, and the governing system is solved numerically using the Galerkin finite element method (GFEM). After the successful implementation of GFEM, the solutions are made grid-independent and convergent. Furthermore, the results are validated with existing literature. Our numerical results show that the memory effects are favorable factors in enhancing heat transport. The Joule heating and heat generation are the characteristics that adversely affect thermal performance. Therefore, heat-absorbing and non-Ohmic dissipative fluids are recommended for optimized heat transport. Similarly, using ionized fluid in the presence of a magnetic field is recommended, as Hall and ion slip currents significantly reduce the Ohmic dissipation in the fluid during heat transport. Hall and ion slip currents induced by the movement of ionized fluid subjected to a variable magnetic field tend to cancel out the retarding effects of Lorentz force, due to which the friction force between fluid particles and the solid surface is reduced. Thus, it is concluded that if stress at the surface caused by fluid movement is required to minimize, then ionized fluid is recommended as a working fluid for transporting heat. Thermal memory effects in mono-nanofluid are stronger than those in fluids with di- and tri-nanoparticles. Moreover, the heat transfer of fluid dispersed with tri-nanoparticles is the best working fluid for thermal efficiency in transporting heat.

摘要 在磁场中使用电离流体在工程和工业中应用广泛。因此,应通过数值模拟来预测具有热记忆效应的电离流体中的热传输。为实现这一目标,我们对电离流体中的广义热传输(遵循交叉流变学构成关系)进行了建模,并使用伽勒金有限元法(GFEM)对支配系统进行了数值求解。在成功实施 GFEM 后,求解与网格无关且具有收敛性。此外,结果还与现有文献进行了验证。我们的数值结果表明,记忆效应是增强热传输的有利因素。焦耳热和发热是影响热性能的不利因素。因此,建议使用吸热和非欧姆耗散流体来优化热传输。同样,建议在存在磁场的情况下使用离子流体,因为霍尔和离子滑移电流可显著降低热传输过程中流体中的欧姆耗散。电离流体在可变磁场中运动时产生的霍尔和离子滑移电流往往会抵消洛伦兹力的阻滞作用,从而降低流体颗粒与固体表面之间的摩擦力。因此,可以得出结论:如果要求将流体运动造成的表面应力降至最低,则推荐使用离子流体作为热量传输的工作流体。单纳米流体的热记忆效应强于含有二纳米和三纳米颗粒的流体。此外,分散有三纳米粒子的流体的传热效果最好,是热效率最高的传热工作流体。
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引用次数: 0
Fracturing responses, mechanical behaviors and anchoring effects for rough layered rock mass 粗糙层状岩体的断裂响应、力学行为和锚固效应
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-02 DOI: 10.1007/s40571-024-00726-x
Yajun Ren, Qian Yin, Zhigang Tao, Jiangyu Wu, Yaoyao Meng, Hongwen Jing, Lulin Zheng, Hai Pu, Junjie Li, Qingxiang Meng

This study is based on indoor experiments using PFC2D to conduct numerical tests on the uniaxial compression of layered rock masses with multiple sets of parallel rough joints at a loading rate of 0.1 m/s. The layered rock mass is composed of hard matrix and weak interlayer, with uniaxial compressive strengths of 45.43 MPa and 16.08 MPa and elastic moduli of 4.47 GPa and 3.20 GPa, respectively. This study numerically investigated the influences of bedding inclination α (0°–90°), joint roughness coefficient JRC (0–19.55) and anchor bolts on crack propagation, fracturing responses, crack initiation stress, mechanical properties, ultimate failure modes, and brittleness index for the rough layered rock mass. The results show that, with an increasing bedding inclination, the peak strength of the layered samples exhibits a “U”-shaped variation trend, first decreasing and then increasing. For the bedding inclination = 30°–75°, the peak strength increases with an increasing JRC. The failure modes of the sample are mainly influenced by the bedding inclination. For the bedding inclination = 0°–30° and 90°, the samples mainly experience tensile splitting failure. For the bedding inclination = 45°–75°, the samples undergo shear slip failure along the weak interlayer. The crack initiation stress of the layered samples first decreases and then increases with an increasing bedding inclination and increases with an increasing JRC. The peak strength and failure mode of the samples are both functions of the bedding inclination and JRC. Based on the different failure modes, a nonlinear strength failure criterion for the layered rock masses with multiple sets of parallel rough joints is established. Comparison with the experimental results shows that this criterion can better reflect the mechanical properties of layered rock masses. Anchor bolts can effectively increase the peak strength, reduce the brittleness characteristics, and restrict the shear slip deformation for the samples. The peak strength increases by 18.03–26.21% with an increasing initial anchoring force (0–20 MPa). When the anchoring force is 10 MPa, the peak strength of the anchored samples decreases first and then increases regarding the bedding inclination. Compared with the unanchored samples, the peak strength increases by 9.44–42.13% and the brittleness index decreases by 18.58–72.44%. The peak strength of the anchored samples increases with JRC. Compared with unanchored samples, the peak strength increases by 14.72–26.21%, while the brittleness index decreases by 69.05–73.19%.

本研究基于室内实验,使用 PFC2D 对具有多组平行粗糙节理的层状岩体在 0.1 m/s 加载速率下的单轴压缩进行了数值试验。层状岩体由硬基体和弱夹层组成,单轴抗压强度分别为 45.43 MPa 和 16.08 MPa,弹性模量分别为 4.47 GPa 和 3.20 GPa。本研究通过数值方法研究了垫层倾角α(0°-90°)、节理粗糙度系数JRC(0-19.55)和锚杆对粗糙层状岩体的裂纹扩展、断裂响应、裂纹起始应力、力学性能、极限破坏模式和脆性指数的影响。结果表明,随着垫层倾角的增大,层状岩样的峰值强度呈 "U "形变化趋势,先减小后增大。在垫层倾角 = 30°-75° 时,峰值强度随 JRC 的增大而增大。试样的破坏模式主要受垫层倾角的影响。在垫层倾角 = 0°-30° 和 90° 时,样品主要经历拉伸劈裂破坏。在垫层倾角=45°-75°时,试样沿薄弱夹层发生剪切滑移破坏。分层试样的裂纹起始应力随着垫层倾角的增大先减小后增大,并随着 JRC 的增大而增大。样品的峰值强度和破坏模式都是垫层倾角和 JRC 的函数。根据不同的破坏模式,建立了具有多组平行粗糙节理的层状岩体的非线性强度破坏准则。与实验结果比较表明,该准则能更好地反映层状岩体的力学特性。锚杆能有效提高样品的峰值强度,降低脆性特征,限制剪切滑移变形。随着初始锚固力(0-20 兆帕)的增加,峰值强度增加了 18.03%-26.21%。当锚固力为 10 兆帕时,锚固样品的峰值强度先降低,然后随着垫层倾斜度的增加而增加。与未锚固样品相比,峰值强度增加了 9.44-42.13%,脆性指数降低了 18.58-72.44%。锚固样品的峰值强度随 JRC 的增加而增加。与未锚固样品相比,峰值强度增加了 14.72-26.21%,而脆性指数降低了 69.05-73.19%。
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引用次数: 0
A simple and novel coupling method for CFD–DEM modeling with uniform kernel-based approximation 基于统一核近似的 CFD-DEM 建模的简单而新颖的耦合方法
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-02-28 DOI: 10.1007/s40571-024-00725-y

Abstract

The Eulerian–Lagrangian approach is commonly employed in particulate flows, which can be classified into two subcategories: unresolved computational fluid dynamics-discrete element method (CFD–DEM) and resolved CFD–DEM. When the particle sizes are comparable to the cell sizes, the interphase coupling is not straightforward anymore and both the conventional unresolved CFD–DEM and resolved CFD–DEM are not applicable. In this paper, we propose a simple and novel coupling method for projecting and reconstructing the particle and interphase quantities, which is also called semi-resolved CFD–DEM. The particle quantities are uniformly distributed to the surrounding cells by expanding the fluid domain. The fluid phase quantities at the particle location are also reconstructed from the surrounding cells. Then, the relative velocity and the local void fraction for calculating the drag force are corrected. The expanding factor for the fluid domain is determined by comparing the drag force of the semi-resolved CFD–DEM with the resolved CFD–DEM results. It is found that the expanding factor increases linearly with the autocorrelation length. The developed method is validated by the simulation of a particle sedimentation and a sediment transport process, which proves that the present semi-resolved CFD–DEM fills the gap between the resolved and unresolved CFD–DEM. The difference between the implicit and explicit treatment of momentum exchange term is also discussed, and the explicit treatment shows better performance for large particles.

摘要 在颗粒流动中通常采用欧拉-拉格朗日方法,该方法可分为两小类:非解析计算流体动力学-离散元法(CFD-DEM)和解析计算流体动力学-离散元法(CFD-DEM)。当颗粒大小与细胞大小相当时,相间耦合就不再简单,传统的非解析计算流体力学-离散元法和解析计算流体力学-离散元法都不适用。在本文中,我们提出了一种简单而新颖的耦合方法,用于投影和重建粒子量和相间量,也称为半解析 CFD-DEM。通过扩大流体域,粒子量被均匀地分布到周围的细胞中。粒子所在位置的流体相量也从周围的单元重建。然后,对计算阻力的相对速度和局部空隙率进行修正。通过比较半解析 CFD-DEM 和解析 CFD-DEM 结果的阻力,确定流体域的扩展因子。结果发现,膨胀系数随自相关长度线性增加。通过模拟颗粒沉积和泥沙输运过程验证了所开发的方法,证明半解析 CFD-DEM 填补了解析 CFD-DEM 和非解析 CFD-DEM 之间的空白。此外,还讨论了动量交换项的隐式和显式处理方法之间的差异,显式处理方法在大颗粒情况下表现更佳。
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引用次数: 0
Correction to: Modeling evaporation with a meshfree collocation approach 更正:用无网格配位方法模拟蒸发
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-02-27 DOI: 10.1007/s40571-024-00715-0
JungHoon Lee, Dirk Bäder, Sebastian Rehfeldt, Almut Eisenträger, Jörg Kuhnert, Isabel Michel, Pratik Suchde, Harald Klein

A Correction to this paper has been published: 10.1007/s40571-023-00602-0

本文更正已发布:10.1007/s40571-023-00602-0
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引用次数: 0
Compatibility of tool geometry and process parameters in powder bed fusion 粉末床融合中工具几何形状和工艺参数的兼容性
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-02-26 DOI: 10.1007/s40571-024-00724-z
Xiang Gao, Lichao Zhang, Zhao Zhang

To reveal the relationship between tool geometries and process parameters in Powder Bed Fusion (PBF), discrete element method is utilized for numerical simulation of PBF. The powder bed flatness and coefficient of variation are proposed to evaluate the quality of the powder bed. Results indicate that the powder bed voidage increases with the increase in the gap height, the decrease in the velocity and the increase in the blade fillet radius. When the blade inclination angle decreased from 45° to 30° and the average powder diameter is decreased from 50 to 30 μm, the porosity of the powder bed is decreased by 3.47% and 8.19%, respectively. The voidages in PBF with blade, roller and blade-roller are 55.78%, 49.08% and 47.57%. When the gap height is higher than 0.15 mm, the voidage in case of roller is obviously smaller than that in case of blade. The optimized combination of the parameters and tool can improve the powder bed flatness by 4.29% and reduce the voidage and coefficient of variation by 0.77% and 2.26%.

为揭示粉末床融合(PBF)中工具几何形状与工艺参数之间的关系,采用离散元法对 PBF 进行了数值模拟。提出了粉末床平整度和变异系数来评估粉末床的质量。结果表明,随着间隙高度的增加、速度的减小和叶片圆角半径的增大,粉末床层的空隙增大。当叶片倾角从 45° 减小到 30° 以及平均粉末直径从 50 μm 减小到 30 μm 时,粉末床的空隙率分别降低了 3.47% 和 8.19%。叶片式、辊筒式和叶片-辊筒式 PBF 的空隙率分别为 55.78%、49.08% 和 47.57%。当间隙高度大于 0.15 mm 时,滚筒的空隙率明显小于刀片的空隙率。参数和工具的优化组合可使粉末床面平整度提高 4.29%,空隙率和变异系数分别降低 0.77% 和 2.26%。
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引用次数: 0
Mechanical properties and damage evolution characteristics of composite rock mass with prefabricated fractures 带有预制裂缝的复合岩体的力学性能和损伤演化特征
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-02-26 DOI: 10.1007/s40571-024-00719-w
Hukun Wang, Jun Hu, Zhiguo Xia, Chengwei Liu, Bin Yang, Bing Chen, Linbin Zhang, Xinrong Wang

In this study, the influence of fractures on the mechanical properties and cracking behavior of composite rock mass was investigated by preparing rock-like specimens of composite rock mass with different dip angles of fractures using customized molds. The failure process of the sample was recorded using a camera, and the rock failure process analysis technology was used for quantitative investigation of the mechanical mechanism of crack evolution during the loading process of the sample. Based on the experimental results, the crack propagation and coalescence modes of fractured composite rock mass were analyzed, and the distribution laws of contact force chain and maximum principal stress during initial crack initiation were studied from the microscopic perspective. The results show that with the increase in fracture dip angle, when the fracture is located in hard rock, the peak strength of the specimen decreases first, then increases and then decreases. When the fracture is located in both soft rock and hard rock, the peak strength of the specimen is mainly controlled by the fracture in soft rock. The initial crack mainly occurs at the tip of the soft rock fracture, and then converges with the cracks developed at the end of the hard rock fracture through the interface. The crack propagation type and coalescence mode are affected by the joint action of the fracture dip angle and position. In total, eight crack propagation types and six crack coalescence modes were observed during the failure process. The maximum principal stress concentration area is distributed around the fracture and is “butterfly” type. With the increase in fracture dip angle, the maximum principal stress concentration area gets gradually deflected perpendicular to the fracture direction, and does not pass through the interface of soft and hard rocks. The existence of the interface prevents the transmission of stress to a certain extent.

本研究利用定制模具制备了具有不同裂缝倾角的复合岩体类岩石试样,研究了裂缝对复合岩体力学性能和开裂行为的影响。使用照相机记录了试样的破坏过程,并利用岩石破坏过程分析技术对试样加载过程中裂纹演变的力学机理进行了定量研究。基于实验结果,分析了断裂复合岩体的裂纹扩展和凝聚模式,并从微观角度研究了初始裂纹萌发过程中接触力链和最大主应力的分布规律。结果表明,随着断口倾角的增大,当断口位于坚硬岩石中时,试样的峰值强度先减小后增大再减小。当断裂同时位于软岩和硬岩时,试样的峰值强度主要受软岩断裂的控制。初始裂缝主要出现在软岩断裂的顶端,然后通过界面与硬岩断裂末端产生的裂缝汇合。裂缝扩展类型和凝聚模式受断裂倾角和位置的共同作用影响。在破坏过程中,共观察到八种裂纹扩展类型和六种裂纹凝聚模式。最大主应力集中区分布在断口周围,呈 "蝶形"。随着断裂倾角的增大,最大主应力集中区逐渐向垂直于断裂方向偏移,并不穿过软硬岩石界面。界面的存在在一定程度上阻碍了应力的传递。
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引用次数: 0
SIPHPM simulation and analysis of cubic particle mixing in a tilted tumbler and application of a new mixing index construction principle 倾斜式滚揉机中立方体颗粒混合的 SIPHPM 模拟和分析以及新混合指数构造原理的应用
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-02-24 DOI: 10.1007/s40571-023-00710-x
Ziwei Zhang, Nan Gui, Xingtuan Yang, Jiyuan Tu, Shengyao Jiang, Jiaxu Li

The mixing phenomenon of particles in a tilted tumbler is studied by the SIPHPM simulation. The particle motion in the tilted tumbler with three rotating velocities ω = 1π, 1.5π and 2π rad/s at tilt angles of α = 5°, 10°, 15°, 20°, 25°, 30°, 45° and 60° are simulated. We propose a construction principle of mixing indices depending on particle concentration. The mixing degree of these cases is evaluated by the new construction-principle-based mixing indices (NCPBMI). In addition, a modified formula is added to the construction principle, so that it can be used to evaluate the particle system with various particle sizes, and the difference between the two calculation methods of the total mixing index in the new mixing index construction principle is compared. In addition, the differences in the application range of various mixing indices are summarized. It is found that the influence of inclinations on the axial mixing of cubic particles in the inclined tumbler varies. At low inclinations, the particle system hardly mixes; at medium inclinations, the inclination plays a positive role in mixing; at high inclinations, the positive influence of inclination on mixing decreases. Also, the rotating speed is a negative factor for cubic particle mixing.

通过 SIPHPM 仿真研究了颗粒在倾斜滚筒中的混合现象。模拟了倾斜角度为 α = 5°、10°、15°、20°、25°、30°、45°和 60°时三种旋转速度 ω = 1π、1.5π 和 2π rad/s 的倾斜滚筒中的粒子运动。我们提出了取决于颗粒浓度的混合指数构造原理。这些情况下的混合程度通过基于新构造原理的混合指数(NCPBMI)进行评估。此外,还在构建原理中添加了一个修正公式,使其可用于评估各种粒径的颗粒体系,并比较了新混合指数构建原理中两种总混合指数计算方法的差异。此外,还总结了各种混合指数应用范围的差异。研究发现,倾角对立方体颗粒在倾斜滚筒中轴向混合的影响各不相同。在低倾角时,颗粒系统几乎不混合;在中等倾角时,倾角对混合起积极作用;在高倾角时,倾角对混合的积极影响减小。此外,转速也是立方体颗粒混合的负面因素。
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引用次数: 0
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Computational Particle Mechanics
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