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Study on Strengthening the Crystallization Process of Removing F and P from Phosphogypsum Produced by Dihydrate–Hemihydrate Wet Process 关于加强二水-半水湿法生产磷石膏脱除 F 和 P 的结晶工艺的研究
Pub Date : 2024-07-15 DOI: 10.1007/s11663-024-03151-w
Jiangmei Yi, Shuai Li, Wenyu Yang, Yujunyao Wang, Haocheng Hu, Hua Meng, Ye Wang
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引用次数: 0
A Comprehensive Study on Determination of Kinetic Parameters of Ironmaking Ores Reduced by Hydrogen: Reduction Below 570 °C 确定氢气还原炼铁矿石动力学参数的综合研究:低于 570 °C 的还原
Pub Date : 2024-07-15 DOI: 10.1007/s11663-024-03199-8
Qiaoyu Zheng, Wei Zhang, Kui Li, Bo Feng, Chang Gan, Henrik Saxén
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引用次数: 0
A Random Pore Model Approach Towards Hematite to Iron Reduction by Carbon Monoxide: A Computational and Experimental Study 一氧化碳将赤铁矿还原成铁的随机孔隙模型方法:计算与实验研究
Pub Date : 2024-07-12 DOI: 10.1007/s11663-024-03206-y
Masoud Khani, Habib Ale Ebrahim, Sajjad Habibzadeh

Abstract

In this work, the random pore model (RPM) is utilized for the kinetic study of hematite reduction to Iron with CO. This can significantly contribute to the more effective design of reduction reactors in Iron production plants. Indeed, the developed RPM in this work employs a real pore size distribution (PSD) of the solid reactant, resulting in more realistic and accurate kinetic parameters. Accordingly, the kinetic parameters were calculated via RPM using the data from the reduction experiments of a highly porous pure hematite pellet. Validation of such kinetic parameters by different pure hematite and industrial pellets with various porous structures demonstrated RPM as the most comprehensive non-catalytic gas–solid reactions model. The activation energy obtained for the mentioned reaction was calculated at 25.5 kJ/mol. In addition, oxygen ions showed a mean diffusion coefficient of 1.18 × 10−16 m2/s for the industrial pellets through the Iron product layer. Furthermore, the importance of adjusting the CO–CO2 ratio on the conversion in the reduction reactor was discussed. The results of this work could help reduce the amount of required CO and CO2 product during the reduction of hematite to Iron.

Graphical Abstract

摘要 在这项工作中,随机孔隙模型(RPM)被用于赤铁矿与 CO 还原成铁的动力学研究。这将大大有助于铁生产厂更有效地设计还原反应器。事实上,这项工作中开发的 RPM 采用了固体反应物的真实孔径分布 (PSD),从而获得了更真实、更准确的动力学参数。因此,利用高多孔纯赤铁矿球团的还原实验数据,通过 RPM 计算出了动力学参数。通过不同的纯赤铁矿和具有各种多孔结构的工业球团对这些动力学参数进行验证,证明 RPM 是最全面的非催化气固反应模型。经计算,上述反应的活化能为 25.5 kJ/mol。此外,氧离子通过铁产品层的平均扩散系数为 1.18 × 10-16 m2/s。此外,还讨论了调整 CO-CO2 比率对还原反应器中转化率的重要性。这项工作的结果有助于减少赤铁矿还原成铁过程中所需的 CO 和 CO2 产物量。
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引用次数: 0
Comparative Analysis of Fixed-Grid Methods in Addressing a Benchmark Problem Coupled Natural Convection and Melting 固定网格方法在解决自然对流与熔化耦合基准问题中的比较分析
Pub Date : 2024-07-12 DOI: 10.1007/s11663-024-03198-9
Jibai Kang, Weiling Wang, Sen Luo, Miaoyong Zhu

For decades, the fixed-grid method (FGM) has undergone extensive development and widespread application in addressing phase change problems. Nonetheless, comparative studies on various FGMs in convective regime are considerably scarce. Moreover, it has been proven that two-dimensional (2D) numerical simulations can cause large deviations from experimental observations. Therefore, this study, based on a reference experiment involving gallium melting, seeks to comprehensively and quantitatively compare three prevalent FGMs: enthalpy method (EM), total enthalpy method (TEM), and heat source method (HSM). The TEM validates overestimation of temperature at low Péclet numbers, as the heat dissipation induced by non-uniform thermal properties in solid and liquid phases is not accounted for. To address this issue, a revised TEM has been introduced. The three FGMs were implemented within the OpenFOAM software, with over 150 simulations conducted on 3D meshes. The comparison focused on evaluating the numerical robustness, accuracy and stability of these FGMs, along with exploring their similarities and differences in flow patterns and velocities. Results obtained reveal that EM offers accuracy but lacks robustness, TEM manifests relatively large errors and instability due to oscillation with variations in grid size and time step, while HSM excels in robustness, accuracy, and stability. Under an identical discretization scheme, all FGMs predict similar melt front shapes, vortex structures, and velocity magnitudes. However, with the upwind scheme, the velocity magnitude of the secondary flow is approximately 50 pct of that with high-order schemes, yet it tends to overestimate the melting rate. The reason lies in the limited capacity of the slow secondary flow to effectively disrupt the stable and persistent vortex in the primary flow direction, consequently enhancing heat transfer efficiency in this direction.

几十年来,固定网格法(FGM)在解决相变问题方面得到了广泛的发展和应用。然而,关于对流体系中各种定格网格法的比较研究却相当匮乏。此外,事实证明,二维(2D)数值模拟可能会导致与实验观测结果的巨大偏差。因此,本研究基于涉及镓熔化的参考实验,试图全面、定量地比较三种常用的 FGM:焓法(EM)、总焓法(TEM)和热源法(HSM)。TEM 验证了在低佩克莱特数时温度被高估的情况,因为固相和液相的非均匀热特性引起的散热没有考虑在内。为了解决这个问题,我们引入了一种经过修订的 TEM。在 OpenFOAM 软件中实现了三种 FGM,并在三维网格上进行了 150 多次模拟。比较的重点是评估这些 FGM 的数值稳健性、准确性和稳定性,同时探索它们在流动模式和速度方面的异同。比较结果表明,EM 具有较高的精度,但缺乏稳健性;TEM 的误差相对较大,而且随着网格大小和时间步长的变化会产生振荡,因而不稳定;而 HSM 在稳健性、精度和稳定性方面表现出色。在相同的离散化方案下,所有 FGM 预测的熔体前沿形状、涡旋结构和速度大小相似。然而,采用上风方案时,二次流的速度大小约为高阶方案的 50%,但它往往会高估熔化率。究其原因,在于缓慢的二次流有效扰乱一次流方向上稳定而持久的漩涡的能力有限,因此无法提高一次流方向上的传热效率。
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引用次数: 0
Distribution Behavior of Titanium Between Ferrosilicon Melt and CaO-SiO2-Al2O3 Slag: Thermochemical and Structural Assessments 钛在硅铁熔体和 CaO-SiO2-Al2O3 熔渣之间的分布行为:热化学和结构评估
Pub Date : 2024-07-10 DOI: 10.1007/s11663-024-03200-4
Min Joo Lee, Tae Sung Kim, Joo Hyun Park

The titanium distribution ratio (({L}_{Ti})) between ferrosilicon (FeSi) melt and the CaO-SiO2-Al2O3 slag was measured at 1773 K (1500 °C). FeSi-slag equilibration was carried out using various slag compositions. The ({L}_{Ti}) was presented against the Vee ratio (pct CaO/pct SiO2 = C/S) between 0.3 and 1.2, and Al2O3 content from 5 to 20 mass pct. The ({L}_{Ti}) exhibited minima at about C/S=0.7(±0.1) at a fixed Al2O3 content. In a C/S < 0.7 regime, i.e., relatively acidic melts, Ti4+ ions were considered as network forming [TiO4]-tetrahedron unit in the aluminosilicate framework. However, in a C/S > 0.7 regime, i.e., relatively basic melts, Ti4+ ions were considered to form the [TiO5]-pyramid structure unit compensated by Ca2+. When adding Al2O3 into the basic melts over 10 mass pct, [AlO4]-tetrahedrons take Ca2+ ions for charge compensation, resulting in a decrease of stability of [TiO5] unit because of Ca2+ depletion. At a greater than 10 mass pct Al2O3 content in the basic melts, Ti4+ replaced Al3+ to form the [TiO4]-tetrahedron unit, decreasing the activity coefficient of TiO2 in the slag.

硅铁(FeSi)熔体和 CaO-SiO2-Al2O3 熔渣之间的钛分布比(({L}_{Ti}))是在 1773 K(1500 °C)下测量的。使用不同的熔渣成分进行了硅铁-熔渣平衡。({L}_{Ti})与 0.3 至 1.2 之间的 Vee 比(CaO/SiO2 百分比 = C/S)以及 5 至 20 质量百分比的 Al2O3 含量相关。在固定的 Al2O3 含量下,({L}_{Ti}) 在 C/S=0.7(±0.1) 左右呈现出最小值。在 C/S < 0.7 条件下,即在相对酸性的熔体中,Ti4+ 离子被认为是铝硅酸盐框架中形成[TiO4]-四面体单元的网络。然而,在 C/S > 0.7 条件下,即在相对碱性的熔体中,Ti4+ 离子被认为在 Ca2+ 的补偿下形成 [TiO5]- 金字塔结构单元。当向超过 10 质量百分数的碱性熔体中添加 Al2O3 时,[AlO4]-四面体会吸收 Ca2+ 离子进行电荷补偿,导致[TiO5]单元的稳定性因 Ca2+ 耗竭而降低。当碱性熔体中 Al2O3 的含量大于 10 质量百分数时,Ti4+ 取代 Al3+ 形成 [TiO4]- 四面体单元,从而降低了熔渣中 TiO2 的活度系数。
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引用次数: 0
DDPM Simulation for Fluidization Behavior and Reduction of Iron Ore Fines with Hydrogen in the Fluidized Bed 流化床中铁矿粉的流化行为和氢气还原的 DDPM 模拟
Pub Date : 2024-07-10 DOI: 10.1007/s11663-024-03205-z
Wenlei Zhou, Fuyong Su, Likun Yang, Sizong Zhang, Hailong Huo

In this paper, the hydrogen direct reduction of iron ore fines is numerically studied by using the Dense Discrete Phase Model (DDPM) in the fluidized bed. The fluidization behavior at different inlet gas velocities (Ug) as well as the influence of Ug and hydrogen concentration on reduction degree (RD) are comprehensively investigated. The result indicates the increase of time-averaged solids volume fraction for the same cross-sectional heights with increasing Ug when the bed height (H) exceeds 0.06 m. Furthermore, the reduction rate of mineral powder increases with higher Ug value, and the RD reaches almost 100 pct after 4000 seconds of reduction time with Ug ranging from 0.35 to 0.65 m/s. The reduction rate increases noticeably with the increase of hydrogen concentration in the range of 10 to 100 pct, and Fe2O3 can be completely converted to Fe under condition of 65 pct H2 concentration after 4000 seconds. Moreover, higher H2 concentration leads to faster rate of Fe2O3 consumption and Fe production. The mass fraction peak values of Fe3O4 and FeO are in the range of 0.29 to 0.34 and 0.21 to 0.24 under different H2 concentrations, respectively.

本文利用流化床中的致密离散相模型(DDPM)对铁矿粉的氢气直接还原进行了数值研究。全面研究了不同入口气体速度(Ug)下的流化行为,以及 Ug 和氢浓度对还原度(RD)的影响。结果表明,当床高(H)超过 0.06 米时,相同截面高度下的时间平均固体体积分数随 Ug 的增加而增加。此外,矿粉的还原率随 Ug 值的增加而增加,在 Ug 为 0.35 至 0.65 m/s 时,还原时间为 4000 秒后,还原度几乎达到 100%。在 10 至 100 pct 的范围内,还原率随氢气浓度的增加而明显增加,在 65 pct 的氢气浓度条件下,4000 秒后 Fe2O3 可完全转化为 Fe。此外,氢气浓度越高,Fe2O3 的消耗和 Fe 的生成速度越快。在不同的 H2 浓度下,Fe3O4 和 FeO 的质量分数峰值范围分别为 0.29 至 0.34 和 0.21 至 0.24。
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引用次数: 0
Evolution of Inclusion Distribution in Continuous Casting Slabs During Strip Feeding 带材喂料过程中连铸坯中夹杂物分布的演变
Pub Date : 2024-07-10 DOI: 10.1007/s11663-024-03186-z
Rui Zhang, Hong-Chun Zhu, Hua-Bing Li, Zhou-Hua Jiang, Tao Pan, Shu-Cai Zhang, Hao Feng

Feeding strip significantly enhances continuous cast slab quality. To clarify its impact on inclusion distribution, a mathematical model coupling flow, solidification and inclusion motion have been developed. The upper recirculation, lower recirculation, and unformed recirculation flow occur during continuous casting. Under the resultant forces of drag, virtual mass, pressure gradient, Saffman, gravity, buoyancy, etc., the inclusion motion can be divided into two stages: Injection and Split flow. Feeding strip mainly affects inclusion motion by altering the drag, virtual mass, pressure gradient, and Saffman forces, which are closely related to the molten steel flow. After feeding strip, the lower recirculation on the strip feeding side is compressed, while it on the no-feeding side is expanded. The unformed recirculation flow on strip feeding side squeezes the flow below lower recirculation on no-feeding side. A higher strip feeding speed promotes downward inclusion motion, increasing the chance of being captured between the slab edge and strip. Unformed recirculation flow guides inclusions on the no-feeding side toward the slab edge, while expanded flow directs them toward the center. Consequently, inclusions on strip feeding side gradually gather between slab edge and quarter, while inclusions on no-feeding side first gather toward center and then toward edge of slab with increased strip feeding speed.

喂料带可大大提高连铸板坯的质量。为了阐明其对夹杂物分布的影响,我们建立了一个将流动、凝固和夹杂物运动耦合在一起的数学模型。连铸过程中会出现上部再循环、下部再循环和未成型再循环流动。在阻力、虚拟质量、压力梯度、萨夫曼力、重力、浮力等作用下,包体运动可分为两个阶段:注入和分流。带钢喂入主要通过改变与钢水流动密切相关的阻力、虚质量、压力梯度和 Saffman 力来影响夹杂运动。喂入钢带后,喂入钢带一侧的下部再循环流被压缩,而未喂入钢带一侧的下部再循环流则被扩张。带钢喂入侧未成形的再循环流挤压未喂入侧下再循环流。较高的板带喂料速度会促进夹杂物向下运动,增加夹杂在板坯边缘和板带之间的机会。未变形的再循环流将不进料侧的夹杂物引向板坯边缘,而膨胀流则将夹杂物引向板坯中心。因此,带钢喂料侧的夹杂物会逐渐聚集在板坯边缘和四分之一之间,而不喂料侧的夹杂物会随着带钢喂料速度的增加,先向板坯中心聚集,然后再向板坯边缘聚集。
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引用次数: 0
The Turbulence Length Scale as A Criterion to Evaluate the Performances of Tundish Inhibitors to Float Non-Metallic Inclusions 将湍流长度尺度作为评估水槽抑制剂浮起非金属夹杂物性能的标准
Pub Date : 2024-07-10 DOI: 10.1007/s11663-024-03192-1
A. Nájera-Bastida, R. D. Morales, J. Guarneros-Guarneros, J. Rodríguez-Ávila, R. Zárate-Gutiérrez

Five turbulence inhibitor (TI) designs are evaluated to define the highest performance to float non-metallic inclusions through the turbulence length scale analysis. The flow structures in the flow mushrooms, formed by the entry jet and its impact with a TI, generate coherent structures in the boundary layers’ walls of this device. The second invariant of the velocity gradient, Q, analyzes these structures. In the mushroom region, the inhibitor yielding the largest magnitudes of this second invariant has the most significant efficiency to float inclusions. Other criteria like the wall shear stress, the turbulent viscosity ratio, and the kinetic energy/friction velocity ratio are proved to be as valuable as the Q criterion to assess the performance of a given TI to float inclusions. This theory was tested numerically through the dynamics of amine particles in a tundish water model to simulate the dynamics of the non-metallic inclusions in steel and with amine powder injection experiments. The mass of powder escaping through the strand decreased as the absolute magnitudes of these criteria rose.

通过湍流长度尺度分析,评估了五种湍流抑制器(TI)设计,以确定浮动非金属夹杂物的最高性能。由入口射流及其与 TI 的撞击形成的流菇中的流动结构会在该装置的边界层壁上产生相干结构。速度梯度的第二个不变量 Q 分析了这些结构。在蘑菇区,产生该第二不变量最大值的抑制剂对夹杂物的浮动效率最高。事实证明,其他标准,如壁剪应力、湍流粘度比和动能/摩擦速度比,与 Q 标准一样有价值,可用于评估给定 TI 在浮动夹杂物方面的性能。该理论通过在外滩水模型中模拟钢中非金属夹杂物动态的胺颗粒动态以及胺粉末注入实验进行了数值测试。随着这些标准绝对值的增加,通过钢绞线逸出的粉末质量也随之减少。
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引用次数: 0
Dissolution of Oxide Particles in Multi-component Slags Governed by Diffusive and Convective Fluxes 多组分炉渣中氧化物颗粒的溶解受扩散和对流通量控制
Pub Date : 2024-07-08 DOI: 10.1007/s11663-024-03175-2
Daniel Marian Ogris, Susanne Michelic, Ernst Gamsjäger

The kinetics of the dissolution of oxide particles in metallurgical slags is simulated by means of a sharp-interface finite difference model where multi-component diffusion is considered. The effect of convective fluxes on the dissolution kinetics is being considered by a constrained boundary layer thickness. The thickness of this boundary layer can be estimated from theory and is used together with the interdiffusivity matrix to predict the dissolution kinetics of spherical alumina particles in various CaO–SiO2–Al2O3 slags. The numerical results are compared to experimental observations using High-Temperature Confocal Scanning Laser Microscopy (HT-CSLM). The results imply that the processes controlling the dissolution kinetics are multi-component diffusion with density-driven convective fluxes in the liquid slag gaining more influence in the later stages of the dissolution process

通过锐面有限差分模型模拟了冶金渣中氧化物颗粒的溶解动力学,其中考虑了多组分扩散。对流通量对溶解动力学的影响是通过限制边界层厚度来考虑的。该边界层的厚度可以从理论上估算出来,并与相互扩散矩阵一起用于预测球形氧化铝颗粒在各种 CaO-SiO2-Al2O3 矿渣中的溶解动力学。数值结果与使用高温共焦激光扫描显微镜(HT-CSLM)进行的实验观察结果进行了比较。结果表明,控制溶解动力学的过程是多组分扩散过程,在溶解过程的后期阶段,液渣中的密度驱动对流通量的影响更大。
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引用次数: 0
Thermodynamic Study of High-Purity TiSi2 Prepared by Directional Solidification 定向凝固法制备高纯 TiSi2 的热力学研究
Pub Date : 2024-07-08 DOI: 10.1007/s11663-024-03194-z
Yakun Zhang, Yun Lei, Yongsheng Ren, Wenhui Ma

The equilibrium segregation coefficient of impurities in materials is the theoretical basis for its purification. This study used the high-temperature chemical equilibration technique to determine the solid solubility and the approximate equilibrium segregation coefficients of Fe, Mn, Al, Cu, and Ni impurities in TiSi2. The results showed that the solid solubilities of Al, Fe, Mn, Ni, and Cu in TiSi2 were in the range of 1.0 to 1.5 wt pct, and their equilibrium segregation coefficients were less than 1.

材料中杂质的平衡偏析系数是材料提纯的理论基础。本研究采用高温化学平衡技术测定了 TiSi2 中铁、锰、铝、铜和镍杂质的固溶解度和近似平衡偏析系数。结果表明,Al、Fe、Mn、Ni 和 Cu 在 TiSi2 中的固溶度在 1.0 至 1.5 wt pct 之间,其平衡偏析系数小于 1。
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引用次数: 0
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Metallurgical and Materials Transactions B
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