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Fractionation of Aerosols by Particle Size and Material Composition Using a Classifying Aerodynamic Lens 利用分级空气动力透镜按粒径和材料成分对气溶胶进行分馏
Pub Date : 2024-07-22 DOI: 10.3390/powders3030022
M. Masuhr, F. Kruis
The fractionation of airborne particles based on multiple characteristics is becoming increasingly significant in various industrial and research sectors, including mining and recycling. Recent developments aim to characterize and fractionate particles based on multiple properties simultaneously. This study investigates the fractionation of a technical aerosol composed of a mixture of micron-sized copper and silicon particles by size and material composition using a classifying aerodynamic lens (CAL) setup. Particle size distribution and material composition are analyzed using scanning electron microscopy (SEM) and energy dispersive X-ray spectroscopy (EDX) for samples collected from the feed stream (upstream of CAL) and product stream (downstream of CAL) at varying operational pressures. The experimental findings generally agree with the predictions of an analytical fractionation model but also point to the importance of particle shape as a third fractionation property. Moreover, the results suggest that material-based fractionation is efficient at low operational pressures, even when the aerodynamic properties of the particle species are similar. This finding could have significant implications for industries where precise particle fractionation is crucial.
在采矿和回收利用等各种工业和研究领域,根据多种特性对空气中的颗粒进行分馏正变得越来越重要。最近的发展旨在同时根据多种特性对颗粒进行表征和分馏。本研究利用分级空气动力透镜(CAL)装置,对由微米级铜和硅混合物组成的技术气溶胶进行粒度和材料成分分馏。使用扫描电子显微镜(SEM)和能量色散 X 射线光谱(EDX)分析了在不同运行压力下从进料流(CAL 上游)和产品流(CAL 下游)收集的样品的粒度分布和材料成分。实验结果与分析分馏模型的预测结果基本吻合,但也指出了颗粒形状作为第三种分馏特性的重要性。此外,实验结果表明,即使颗粒种类的空气动力学特性相似,基于材料的分馏在低操作压力下也是有效的。这一发现可能会对精确颗粒分馏至关重要的行业产生重大影响。
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引用次数: 0
Discrete Element Method Simulation of Particulate Material Fracture Behavior on a Stretchable Single Filter Fiber with Additional Gas Flow 离散元法模拟带有附加气体流的可拉伸单层过滤纤维上的微粒材料断裂行为
Pub Date : 2024-07-03 DOI: 10.3390/powders3030021
E. Asylbekov, L. Poggemann, A. Dittler, Hermann Nirschl
This study presents a comprehensive discrete element method (DEM) simulation approach for the stretching of a filter fiber with a separated polydisperse particle structure on top. For a realistic interaction between the fiber surface and the particles, the original surface of the polymer fiber was projected onto the surface of the fiber cylinder using surface imaging technologies (atomic force microscopy (AFM) and white-light interferometry). In addition, the adhesive forces between particle–fiber and particle–particle contacts were calibrated in the DEM domain using values from self-conducted AFM measurements. Fiber stretching was implemented by the linear motion of small periodic fiber elements. Discretization problems were resolved through studying the stretching of a fiber segment at the size of 8 mm. A critical fiber element length was discovered to be ≈100 μm for minimizing discretization dependencies during the cracking of the particle structure. The number and density of particle–particle contacts within the particle loading on the fiber were obtained at two different elongation rates. Effects such as densification of the particulate structure and increased detachment due to additional air flow were demonstrated.
本研究提出了一种全面的离散元素法(DEM)模拟方法,用于拉伸顶部带有分离式多分散颗粒结构的过滤纤维。为了真实反映纤维表面与颗粒之间的相互作用,利用表面成像技术(原子力显微镜(AFM)和白光干涉仪)将聚合物纤维的原始表面投影到纤维圆柱体的表面。此外,利用自行进行的原子力显微镜测量值,在 DEM 域校准了颗粒-纤维和颗粒-颗粒接触之间的粘合力。纤维拉伸是通过小型周期性纤维元件的线性运动来实现的。通过研究尺寸为 8 毫米的纤维段的拉伸,解决了离散化问题。发现纤维元件的临界长度为 ≈100 μm,以最大限度地减少颗粒结构开裂过程中的离散化依赖性。在两种不同的伸长率下,获得了纤维上颗粒负载内颗粒-颗粒接触的数量和密度。结果表明,由于额外气流的作用,颗粒结构发生了致密化并增加了脱离。
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引用次数: 0
Consistency in Young’s Modulus of Powders: A Review with Experiments 粉末杨氏模量的一致性:实验综述
Pub Date : 2024-05-21 DOI: 10.3390/powders3020017
M. Cares-Pacheco, Ellen Cordeiro-Silva, Fabien Gerardin, V. Falk
This review, complemented by empirical investigations, delves into the intricate world of industrial powders, examining their elastic properties through diverse methodologies. The study critically assesses Young’s modulus (E) across eight different powder samples from various industries, including joint filler, wheat flour, wheat starch, gluten, glass beads, and sericite. Employing a multidisciplinary approach, integrating uniaxial compression methodologies—both single and cyclic—with vibration techniques, has revealed surprising insights. Particularly notable is the relationship between porosity and Young’s modulus, linking loose powders to the compacts generated under compression methods. Depending on the porosity of the powder bed, Young’s modulus can vary from a few MPa (loose powder) to several GPa (tablet), following an exponential trend. The discussion emphasizes the necessity of integrating various techniques, with a specific focus on the consolidation state of the powder bed, to achieve a comprehensive understanding of bulk elasticity. This underscores the need for low-consolidation methodologies that align more closely with powder technologies and unit operations such as conveying, transport, storage, and feeding. In conclusion, the study suggests avenues for further research, highlighting the importance of exploring bulk elastic properties in loose packing conditions, their relation with flowability, alongside the significance of powder conditioning.
本综述以实证调查为补充,深入探讨了工业粉末的复杂世界,通过不同的方法研究了它们的弹性特性。研究对来自不同行业的八种不同粉末样品的杨氏模量(E)进行了严格评估,包括接缝填料、小麦粉、小麦淀粉、谷朊粉、玻璃珠和绢云母。采用多学科方法,将单轴压缩方法(包括单轴压缩和循环压缩)与振动技术相结合,揭示了令人惊讶的见解。尤其值得注意的是孔隙率与杨氏模量之间的关系,它将松散粉末与压缩方法下产生的致密体联系起来。根据粉末床的孔隙率,杨氏模量可从几兆帕(松散粉末)到几千兆帕(片剂)不等,呈指数趋势。讨论强调了整合各种技术的必要性,并特别关注粉末床的固结状态,以全面了解体弹性。这强调了低固结方法与粉末技术和输送、运输、存储和喂料等单元操作更紧密结合的必要性。总之,本研究提出了进一步研究的途径,强调了在松散包装条件下探索松散弹性特性的重要性、松散弹性特性与流动性的关系以及粉末调节的重要性。
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引用次数: 0
Size and Shape Selective Classification of Nanoparticles 纳米粒子的尺寸和形状选择性分类
Pub Date : 2024-05-17 DOI: 10.3390/powders3020016
C. Damm, Danny Long, J. Walter, Wolfgang Peukert
As nanoparticle syntheses on a large scale usually yield products with broad size and shape distributions, the properties of nanoparticle-based products need to be tuned after synthesis by narrowing the size and shape distributions or via the removal of undesired fractions. The development of property-selective classification processes requires a universal framework for the quantitative evaluation of multi-dimensional particle fractionation processes. This framework must be applicable to any property and any particle classification process. We extended the well-known one-dimensional methodology commonly used for describing particle size distributions and fractionation processes to the multi-dimensional case to account for the higher complexity of the property distribution and separation functions. In particular, multi-dimensional lognormal distributions are introduced and applied to diameter and length distributions of gold nanorods. The fractionation of nanorods via centrifugation and by orthogonal centrifugal and electric forces is modeled. Moreover, we demonstrate that analytical ultracentrifugation with a multi-wavelength detector (MWL-AUC) is a fast and very accurate method for the measurement of two-dimensional particle size distributions in suspension. The MWL-AUC method is widely applicable to any class of nanoparticles with size-, shape- or composition-dependent optical properties. In addition, we obtained distributions of the lateral diameter and the number of layers of molybdenum disulfide nanosheets via stepwise centrifugation and spectroscopic evaluation of the size fractions.
由于大规模的纳米粒子合成通常会产生尺寸和形状分布广泛的产品,因此需要在合成后通过缩小尺寸和形状分布或去除不需要的馏分来调整基于纳米粒子的产品的特性。特性选择性分类过程的开发需要一个通用框架,用于定量评估多维粒子分馏过程。这一框架必须适用于任何性质和任何颗粒分级过程。我们将常用于描述粒度分布和分馏过程的著名一维方法扩展到了多维情况,以考虑属性分布和分离函数的更高复杂性。特别是引入了多维对数正态分布,并将其应用于金纳米棒的直径和长度分布。我们模拟了纳米棒在离心力和正交离心力及电场力作用下的分馏过程。此外,我们还证明了带多波长检测器的分析超速离心法(MWL-AUC)是一种快速、非常精确的悬浮液二维粒度分布测量方法。MWL-AUC 方法广泛适用于任何一类具有尺寸、形状或成分光学特性的纳米粒子。此外,我们还通过分步离心和光谱评估粒度分数,获得了二硫化钼纳米片的横向直径和层数分布。
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引用次数: 0
Multidimensional Separation by Magnetic Seeded Filtration: Theoretical Study 磁性种子过滤的多维分离:理论研究
Pub Date : 2024-04-22 DOI: 10.3390/powders3020014
Frank Rhein, Haoran Ji, Hermann Nirschl
Magnetic seeded filtration (MSF) is a multidimensional solid–liquid separation process capable of fractionating a multimaterial suspension based on particle size and surface properties. It relies on the selective hetero-agglomeration between nonmagnetic target and magnetic seed particles followed by a magnetic separation. Experimental investigations of multimaterial suspensions are challenging and limited. Therefore, a Monte Carlo model for the simulation of hetero-agglomeration processes is developed, validated, and compared to a discrete population balance model. The numerical investigation of both charge-based and hydrophobicity-based separation in an 11-material system, using synthetic agglomeration kernels based on real-world observations, yields results consistent with prior experimental studies and expectations: Although a multidimensional separation is indeed possible, unwanted hetero-agglomeration between target particles results in a reduced selectivity. This effect is more pronounced when separation is based on a dissimilarity rather than a similarity in the separation criterion and emphasizes the advantages of hydrophobicity-based systems. For the first time, 2D grade efficiency functions T(φ,d) are presented for MSF. However, it is shown that these functions strongly depend on the initial state of the suspension, which casts doubt on their general definition for agglomeration-based processes and underlines the importance of a simulation tool like the developed MC model.
磁性种子过滤(MSF)是一种多维固液分离工艺,能够根据颗粒大小和表面特性对多种材料悬浮液进行分馏。它依赖于非磁性目标颗粒和磁性种子颗粒之间的选择性异聚集,然后进行磁分离。多材料悬浮液的实验研究具有挑战性和局限性。因此,我们开发了用于模拟异质聚集过程的蒙特卡洛模型,并将其与离散种群平衡模型进行了验证和比较。在一个 11 种材料的系统中,使用基于实际观察的合成聚结核对基于电荷和疏水性的分离进行了数值研究,得出的结果与之前的实验研究和预期一致:虽然多维分离确实可行,但目标颗粒之间不必要的异性聚结会导致选择性降低。当分离标准是基于异质性而非相似性时,这种影响更为明显,这也凸显了基于疏水性的系统的优势。首次提出了 MSF 的二维级效率函数 T(φ,d)。然而,研究表明这些函数在很大程度上取决于悬浮液的初始状态,这使人们对其在基于团聚的过程中的一般定义产生了怀疑,并强调了像所开发的 MC 模型这样的模拟工具的重要性。
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引用次数: 0
Using Chia Powder as a Binder to Obtain Chewable Tablets Containing Quinoa for Dietary Fiber Supplementation 使用奇亚籽粉作为粘合剂,获得含有藜麦的咀嚼片,以补充膳食纤维
Pub Date : 2024-04-07 DOI: 10.3390/powders3020013
R. P. da Silva, Fanny Judhit Vereau Reyes, Josiane Souza Pereira Daniel, Julia Estevam da Silva Pestana, Samara de Almeida Pires, Humberto Gomes Ferraz
The consumption of fiber in the human diet is a global recommendation to ensure a healthy diet. Quinoa (Chenopodium quinoa Willd.), a gluten-free grain, and chia (Salvia hispanica), a seed, contain a high fiber content, and both have the potential to be used in the development of nutraceutical and pharmaceutical formulations. An interesting characteristic of chia is its ability to form viscous mucilage when in contact with water, making it a potential binder in solid formulations. However, there are no studies on chia as a binder, and therefore, the objective of the present study was to evaluate the feasibility of using chia as a binder to produce quinoa granules and, subsequently, develop chewable tablet formulations. The quinoa and chia were in a powder form and then transformed into a wet mass with the help of mixer torque rheometer (MTR) equipment. In the wet granulation form, the following parameters were tested: multiple additions, 15 g of material, and 25 timepoints for the addition of 1 mL of water. An experimental design was carried out to evaluate the impact of the variables on the MTR results for subsequent granulation. The granulation point was possible for T1–T9, and most formulations gave satisfactory results, such as an acceptable resistance of the granules. In the end, a formulation was selected for the development of chewable tablets containing quinoa and chia fibers.
在人类饮食中摄入纤维是确保健康饮食的一项全球性建议。藜麦(Chenopodium quinoa Willd.)是一种无麸质谷物,奇亚籽(Salvia hispanica)是一种种子,含有大量纤维,两者都有潜力用于营养保健品和药物配方的开发。奇异籽的一个有趣特点是与水接触后能形成粘性粘液,因此有可能成为固体制剂的粘合剂。然而,目前还没有将奇亚籽作为粘合剂的研究,因此,本研究的目的是评估将奇亚籽作为粘合剂来生产藜麦颗粒的可行性,进而开发咀嚼片配方。藜麦和奇亚籽均为粉末状,然后在混合扭矩流变仪(MTR)设备的帮助下转化为湿颗粒。在湿制粒过程中,测试了以下参数:多次添加、15 克材料和 25 个添加 1 毫升水的时间点。进行了实验设计,以评估变量对后续制粒的 MTR 结果的影响。T1-T9 的制粒点是可能的,大多数配方都能获得令人满意的结果,如颗粒的阻力可以接受。最后,选定了一种配方用于开发含有藜麦和奇利亚纤维的咀嚼片。
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引用次数: 0
Population Balance Modeling of Milling Processes: Are We Falsifying Breakage Kinetics and Distribution via Back-Calculation Methods? 铣削过程的种群平衡建模:我们是否通过反向计算方法伪造了破碎动力学和分布?
Pub Date : 2024-04-03 DOI: 10.3390/powders3020012
E. Bilgili
Population balance models (PBMs) for milling processes are based on two fundamental concepts: specific breakage rate function and breakage distribution function, which vary with particle size as well as design–operation conditions. The solution of the inverse problem, i.e., the estimation of these two functions’ parameters, may cause falsified kinetics and breakage distribution mechanisms. This perspective article aims to expose and mitigate various aspects of potential falsification, thus enabling the development of a robust PBM. Through an in-depth analysis of historical approaches to the PBM inverse problem and experimental observations, as well as the author’s recent contributions to the inverse methodology within the context of back-calculation methods, six principles have been offered: (i) include the governing physical phenomena and reduce errors in model building; (ii) reduce the number of model parameters via size–operation-dependent functional forms, hybrid approaches for back-calculation, and combination with CFD–DEM and other mechanistic models; (iii) generate a dense particle size distribution data set obtained at various milling times and/or locations; (iv) ensure a grid-independent solution with a sufficient number of size classes; (v) use a global optimization-based back-calculation method for parameter estimation and provide standard errors of the estimates; and (vi) test the predictive capability of the PBM. This perspective article boosts awareness of various challenges involved in the solution of the inverse PBM problem as pertinent to milling processes and provides researchers with six principles to minimize falsified kinetics.
制粉过程的种群平衡模型(PBM)基于两个基本概念:特定破碎率函数和破碎分布函数,它们随粒度和设计操作条件而变化。逆问题的求解,即这两个函数参数的估算,可能会导致动力学和破碎分布机制的错误。本视角文章旨在揭示和缓解潜在的各方面问题,从而开发出稳健的 PBM。通过深入分析 PBM 逆问题的历史方法和实验观察,以及作者最近在反向计算方法背景下对逆方法的贡献,提出了六项原则:(i) 包括支配物理现象并减少建立模型时的误差;(ii) 通过与粒度操作相关的函数形式、反向计算的混合方法以及与 CFD-DEM 和其他力学模型的结合,减少模型参数的数量;(iii) 生成在不同研磨时间和/或地点获得的密集粒度分布数据集;(iv) 确保与网格无关的解决方案具有足够数量的粒度等级;(v) 使用基于全局优化的反向计算方法进行参数估计,并提供估计值的标准误差;以及 (vi) 测试 PBM 的预测能力。这篇观点性文章提高了人们对解决与制粉过程相关的 PBM 逆问题所涉及的各种挑战的认识,并为研究人员提供了六项原则,以最大限度地减少伪造动力学。
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引用次数: 0
Hygroscopicity in Epoxy Powder Composites 环氧粉末复合材料中的吸湿性
Pub Date : 2024-04-03 DOI: 10.3390/powders3020011
James.M. Maguire, Jin-Yu Wang, C. O. Ó Brádaigh
Epoxy powders offer a low-cost way of manufacturing thick-section composite parts, such as those found in wind and tidal turbines. Currently, their processing cycle includes a lengthy drying stage (≥15 h) to remove ambient moisture. This drying stage prevents void defect formation and, thereby, a reduction in mechanical properties; however, it constitutes up to 60% of the processing time. Little research has been published which studies the drying stage or its optimisation. In the present work, experimental and simulated analyses are used to investigate the effects of hygroscopicity in epoxy powder composites. Tests are performed to quantify the void content of dried and undried laminates and to measure its impact on transverse flexural strength. Dynamic vapour sorption analysis is used to study the sorption behaviour of the epoxy powder. It is shown that the epoxy powder is slightly hygroscopic (1.36 wt%) and exhibits sorption behaviour that is characteristic of glassy polymers. This results in up to 4.8% voids (by volume) if processed in an undried state, leading to a 43% reduction in transverse flexural strength. A modified linear driving force model is fitted to the desorption data and then implemented in existing process-simulation tools. The drying of a thick epoxy powder composite section is simulated to investigate the influence of powder sintering on the duration of the drying stage. Process simulations reveal that a standard drying cycle prematurely sinters the powder, which inhibits moisture release. By maintaining the powder state, simulations show that the drying cycle can be reduced to 5 h.
环氧粉末是制造风力和潮汐涡轮机等厚截面复合材料部件的低成本方法。目前,其加工周期包括一个漫长的干燥阶段(≥15 小时),以去除环境中的水分。这一干燥阶段可防止空隙缺陷的形成,从而防止机械性能的降低;然而,它却占去了高达 60% 的加工时间。关于干燥阶段或其优化的研究成果很少。本研究利用实验和模拟分析来研究环氧粉末复合材料吸湿性的影响。试验对干燥和未干燥层压板的空隙含量进行量化,并测量其对横向抗弯强度的影响。动态蒸汽吸附分析用于研究环氧粉末的吸附行为。结果表明,环氧粉末具有轻微的吸湿性(1.36 wt%),并表现出玻璃态聚合物特有的吸附行为。如果在未干状态下加工,空隙率(按体积计算)可高达 4.8%,从而导致横向抗弯强度降低 43%。一个改进的线性驱动力模型被拟合到解吸数据中,然后被应用到现有的工艺模拟工具中。模拟了厚环氧粉末复合材料的干燥过程,以研究粉末烧结对干燥阶段持续时间的影响。工艺模拟显示,标准干燥周期会使粉末过早烧结,从而抑制水分释放。通过保持粉末状态,模拟显示干燥周期可缩短至 5 小时。
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引用次数: 0
Reuse of Smoulder in Laser Powder-Bed Fusion of AlSi10Mg—Powder Characterization and Sample Analysis 在激光粉末床熔融 AlSi10Mg 过程中重复使用 Smoulder--粉末表征和样品分析
Pub Date : 2024-03-27 DOI: 10.3390/powders3020010
Oliver Maurer, Heiko Jacob, Dirk Bähre
Metal additive manufacturing technologies, such as Laser Powder-Bed Fusion, often rate as sustainable due to their high material efficiency. However, there are several drawbacks that reduce the overall sustainability and offer potential for improvement. One such drawback is waste emerging from the process. These smoulder particles form when the laser hits the powder-bed surface, are blown away from the part by the shielding gas stream and accumulate on the edge of the build chamber. Usually, smoulder does not contribute to the circular reuse of powder that was part of the powder-bed but was not integrated into a part. Instead, it marks an end-of-life state of powder. Significant amounts of smoulder accumulate depending on the irradiated area or the build volume in one job, respectively. This results in the waste of powder that was produced with low energy efficiency. This study investigates the question of whether smoulder can transform from waste to resource via common powder characterization methods and first build jobs using processed smoulder. The investigation of process-relevant powder properties like apparent density and flowability showed no significant difference between virgin powder and smoulder. Sample characterization indicated that neither porosity, surface quality nor mechanical properties deteriorate when samples contain about 50% smoulder. This allows for the reuse of smoulder in terms of powder characterization and part quality.
激光粉末床熔融等金属增材制造技术由于材料利用率高,通常被认为是可持续的。然而,有几个缺点降低了整体可持续性,并提供了改进的潜力。其中一个缺点就是加工过程中产生的废料。当激光打到粉末床表面时,会产生烟雾颗粒,这些烟雾颗粒被屏蔽气流吹离零件,并堆积在构建室的边缘。通常情况下,烟雾颗粒并不会促进粉末的循环再利用,因为这些粉末是粉末床的一部分,但并没有集成到零件中。相反,它标志着粉末的报废状态。根据一次作业中的辐照面积或构建量,会积累大量熔块。这就造成了以低能效生产的粉末的浪费。本研究通过常见的粉末表征方法和使用加工过的熔块进行的首次构建工作,探讨了熔块能否从废物转化为资源的问题。对表观密度和流动性等与加工相关的粉末特性进行的调查显示,原始粉末和模塑粉末之间没有显著差异。样品表征结果表明,当样品中含有约 50%的熔块时,孔隙率、表面质量和机械性能都不会降低。因此,在粉末表征和零件质量方面,可以重新使用熔块。
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引用次数: 0
New Die-Compaction Equations for Powders as a Result of Known Equations Correction: Part 2—Modernization of M Yu Balshin’s Equations 已知方程修正后的新粉末压模方程:第 2 部分--M Yu Balshin 公式的现代化
Pub Date : 2024-03-19 DOI: 10.3390/powders3010009
Anatolii V. Laptiev
Based on the generalization of M. Yu. Balshin’s well-known equations in the framework of a discrete model of powder compaction process (PCP), two new die-compaction equations for powders have been derived that show the dependence of the compaction pressure p on the relative density ρ of the powder sample. The first equation, p=w(1−ρ0)(n−m)·(ρ−ρ0)n(1−ρ)m, contains, in addition to the initial density ρ0 of the powder in die, three constant parameters—w, n and m. The second equation in the form p=H1−ρ0b−c·ρ−ρ0b1−ρ0c−aρ−ρ0c also takes into account the initial density of the powder and contains four constant parameters H, a, b, and c. The values of the constant parameters in both equations are determined by fitting the theoretical curve according to these equations to the experimental powder compaction curve. The adequacy of the PCP description with these equations has been verified by approximating experimental data on the compaction of various powders, including usual metal powders such as iron, copper, and nickel, highly plastic powders such as tin and lead, a mixture of plastic powder (Ni) with non-plastic powder (Al2O3), nickel-plated alumina powder, as well as powder of a brittle compound, in particular titanium carbide TiC. The proposed equations make it possible to describe PCP with high accuracy, at which the coefficient of determination R2 reaches values from 0.9900 to 0.9999. The four-constant equation provides a very accurate description of PCP from start to finish when the density of the samples stops increasing once the pressure increases to an extremely high level, despite the presence of porosity.
基于 M. Yu.Balshin 在粉末压实过程(PCP)离散模型框架内的著名方程的基础上,推导出了两个新的粉末模压方程,它们显示了压实压力 p 与粉末样品相对密度 ρ 的关系。第一个方程 p=w(1-ρ0)(n-m)-(ρ-ρ0)n(1-ρ)m,除了粉末在模具中的初始密度 ρ0,还包含三个常数参数-w、n 和 m。这两个方程中的常量参数值是根据这些方程的理论曲线与实验粉末压实曲线拟合确定的。通过对各种粉末(包括铁、铜和镍等普通金属粉末、锡和铅等高塑性粉末、塑性粉末(镍)与非塑性粉末(Al2O3)的混合物、镀镍氧化铝粉末以及脆性化合物粉末,特别是碳化钛 TiC)的压实实验数据进行近似分析,验证了这些方程对 PCP 描述的充分性。所提出的方程可以高精度地描述 PCP,其判定系数 R2 达到 0.9900 到 0.9999 之间。尽管存在孔隙,但当压力增加到极高水平时,样品的密度就会停止增加,此时四常数方程可以非常准确地从头到尾描述 PCP。
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引用次数: 0
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