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Research on Mathematical Model and Process Parameter Optimization of Rotary Hearth Furnace Process Toward Energy and Cost Saving 以节约能源和成本为目标的转炉工艺数学模型和工艺参数优化研究
Pub Date : 2024-07-24 DOI: 10.1007/s11663-024-03190-3
Yingpeng Dong, Yanbing Zong, Runsheng Xu, Yuancheng Huang, Jianliang Zhang, Rongrong Wang, Jinpeng Shi, Yongsheng Yang

To explore the solutions of saving energy and cost of the rotary hearth furnace (RHF) direct reduction process, this paper constructed an energy consumption model, an economic evaluation model, and a carbon emission calculation model of the RHF direct reduction process. According to the actual production conditions of a steel plant, the influence of combustion air temperature and oxygen enrichment rate on the energy consumption, cost, and carbon emission of the RHF direct reduction process were studied. The calculation results show that for every 50 °C increase in the combustion air temperature, the process energy consumption, comprehensive cost, and carbon emission reduce by about 11 kgce, 42 CHY, and 44 kg, respectively. For every 2 pct increase in the oxygen enrichment rate of the combustion air, the corresponding values are about 10 kgce, 26 CHY, and 37 kg, respectively. In addition, the mathematical model established in this paper can be used to calculate the process energy consumption, cost, and carbon emissions under different raw material and fuel conditions, which is of great theoretical significance for the green and low-carbon transformation of the RHF direct reduction process.

为探索转底炉(RHF)直接还原工艺的节能降耗方案,本文构建了 RHF 直接还原工艺的能耗模型、经济评价模型和碳排放计算模型。根据某钢铁厂的实际生产条件,研究了燃烧空气温度和富氧率对 RHF 直接还原工艺的能耗、成本和碳排放的影响。计算结果表明,燃烧空气温度每升高 50 °C,工艺能耗、综合成本和碳排放量分别降低约 11 kgce、42 CHY 和 44 kg。助燃空气富氧率每增加 2 个百分点,相应的数值分别为 10 kgce、26 CHY 和 37 kg。此外,本文建立的数学模型可用于计算不同原料和燃料条件下的工艺能耗、成本和碳排放,对 RHF 直接还原工艺的绿色低碳改造具有重要的理论意义。
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引用次数: 0
Ultrasounds Induced Microstructure Transition and Improved Mechanical Property of Directionally Solidified Ternary Cu–Al–Ni Alloy 超声诱导定向凝固三元铜-铝-镍合金的微结构转变并改善其力学性能
Pub Date : 2024-07-24 DOI: 10.1007/s11663-024-03213-z
Y. J. Hu, J. Y. Wang, W. Zhai, B. Wei

Two ultrasonic modes, i.e., continuous and pulsed ultrasounds, were introduced into the directional solidification process of Cu68.3Al27.6Ni4.1 alloy. A columnar-to-equiaxed structure transition occurred to primary β(Cu3Al) phase within continuous ultrasonic field, which was accompanied with a grain size reduction by 7.5 times. Under pulsed ultrasound, β phase maintained the fine columnar structures with a similar grain size. In the former case, numerous β phase nucleation sites formed ahead of solid/liquid (S/L) interface because of the large local undercoolings induced by transient cavitation. Meanwhile, intensive acoustic streaming suppressed the liquid temperature gradient from 120 to 85 K/cm, which interrupted the solute transportation along heat flow direction and resulted in equiaxed microstructures. Under the intermittent ultrasonic action in the latter case, fewer nucleation sites were generated near S/L interface but small columnar β grains were split from the original ones under stable cavitation. Since no steady convection was driven, the liquid temperature gradient of 110 K/cm remained almost constant, making those grains grow into refined columnar structures. Under the action of pulsed ultrasound, the yield strength was enhanced by a factor of 1.5 because of grain refinement strengthening, together with 94 pct shape recovery rate due to columnar grain structures.

在 Cu68.3Al27.6Ni4.1 合金的定向凝固过程中引入了两种超声模式,即连续超声和脉冲超声。在连续超声场中,主β(Cu3Al)相发生了柱状到方形结构的转变,同时晶粒尺寸缩小了 7.5 倍。在脉冲超声下,β 相保持细柱状结构,晶粒大小相似。在前一种情况下,由于瞬态空化引起的大量局部过冷,在固/液(S/L)界面前形成了大量的 β 相成核点。同时,密集的声流将液体温度梯度从 120 K/cm 抑制到 85 K/cm,从而中断了溶质沿热流方向的迁移,形成了等轴微结构。在后一种情况下,在间歇性超声波作用下,S/L 接口附近产生的成核点较少,但在稳定的空化作用下,小的柱状 β 晶粒从原来的晶粒中分裂出来。由于没有驱动稳定的对流,110 K/cm 的液体温度梯度几乎保持不变,使得这些晶粒成长为精致的柱状结构。在脉冲超声的作用下,由于晶粒细化强化,屈服强度提高了 1.5 倍,同时由于柱状晶粒结构,形状恢复率达到 94%。
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引用次数: 0
Model for Surface Tension of Pure Liquid Metals: Revisit to Iida’s Model 纯液体金属的表面张力模型:重温饭田模型
Pub Date : 2024-07-22 DOI: 10.1007/s11663-024-03209-9
Yoongu Kang, In-Ho Jung

In the present study, a well-known Iida’s equation for surface tension was modified to improve the predictivity of the surface tension of pure liquid metals. A semi-empirical equation for the surface tensions (({sigma }_{m})) of liquid metal at its melting temperature proposed by Iida et al. uses a generalized (alpha ) value of 0.51 to represent the ratio of the distance required to separate one atomic pair from its equilibrium distance. This study improved the predictability of the equation by refining the (alpha ) value using the equilibrium interatomic distance (({r}_{e})) and atomic radius (({r}_{a})). Assigning an accurate (alpha ) value for each element greatly improves the prediction accuracy of the surface tension for liquid metals. Furthermore, the critical temperature (({T}_{c})) was calculated based on the interatomic distance (({r}_{c})) at ({T}_{c}) and temperature coefficient of density ((d{rho }_{T})/(dT)) and used to predict the temperature dependence coefficient of surface tension ((d{sigma }_{T})/(dT)). As results, more accurate surface tensions of 42 liquid metals were predicted over the entire liquid state temperature.

Graphical Abstract

本研究对著名的饭田表面张力方程进行了修改,以提高纯液态金属表面张力的预测能力。饭田等人提出的液态金属在其熔化温度下的表面张力(({sigma }_{m}))半经验方程使用 0.51 的广义 (alpha )值来表示分离一个原子对所需的距离与其平衡距离之比。这项研究通过使用平衡原子间距离(({r}_{e}))和原子半径(({r}_{a}))来改进 (α )值,从而提高了方程的可预测性。为每种元素指定精确的 (α ) 值可以大大提高液态金属表面张力的预测精度。此外,临界温度(({T}_{c}))是根据原子间距离(({r}_{c}))在({T}_{c})和密度温度系数((d{rho }_{T})/(dT))计算出来的,并用于预测表面张力的温度依赖系数((d{sigma }_{T})/(dT))。结果,42 种液态金属在整个液态温度下的表面张力都得到了更精确的预测。
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引用次数: 0
Phase Field Model of Semi-solid Slurry Generation and Isothermal Coarsening of Novel Al-15Mg2Si-4.5Si Composite 新型铝-15Mg2Si-4.5Si 复合材料的半固态浆料生成和等温粗化的相场模型
Pub Date : 2024-07-22 DOI: 10.1007/s11663-024-03212-0
Indrani Mukherjee, Prosenjit Das

The present study speaks of development of a two-dimensional phase field (PF) model to simulate the cooling slope rheoprocessing of the novel Al-15Mg2Si-4.5Si composite, in view of process optimization and investigation of physics of microstructure formation. In case of cooling slope rheoprocessing, the composite melt starts losing its superheat once it impinges over the slope and transforms into semi-solid slurry during its length of travel over the slope. After experiencing shear flow over the slope, the melt fills an isothermal slurry holding furnace where it undergoes coarsening for a certain length of time. The present PF model simulates how heterogeneous nucleation of solid grains is supposed to happen within the melt, during cooling slope processing, adopting a seed undercooling-based nucleation model. Moreover, the PF model implements a grain coarsening model to simulate the isothermal globularization process of the evolving solid grains of primary Mg2Si and primary Al phases. The interfacial free energy of Al–melt interface is taken from literature, whereas a molecular dynamics (MD) model is employed to estimate the interfacial energy value of the Mg2Si–melt interface. The cooling rate values employed in the present PF model for different melt pouring temperatures are determined experimentally from initial trial experiments, whereas the validation experiments are performed to collect the slurry samples from chosen locations of the melt flow front over the slope and from isothermally kept slurry holding furnace. Micrographs obtained from the above samples confirm the accuracy of the developed 2D PF model to capture microstructural morphology of the composite slurry. Moreover, the model predictions of quantitative parameters such as grain diameter, shape factor/sphericity, and solid fraction are found to be close to the experimental measurements. For example, a representative simulated value of grain size and sphericity of primary Mg2Si grains, after 8 minutes of slurry holding, are as follows: 24.01 and 0.834 μm, whereas the corresponding experimental values are 29.0 and 0.885 μm, respectively.

Graphical Abstract

本研究建立了一个二维相场(PF)模型,用于模拟新型铝-15Mg2Si-4.5Si 复合材料的冷却斜坡流变过程,以优化工艺并研究微观结构形成的物理过程。在冷却斜坡流变过程中,复合材料熔体在撞击斜坡后开始失去过热度,并在斜坡上移动的过程中转变为半固态浆料。在斜坡上经历剪切流之后,熔体进入等温浆料保温炉,在一定时间内发生粗化。本 PF 模型采用基于种子欠冷的成核模型,模拟了在冷却斜坡加工过程中熔体内部固体颗粒的异质成核过程。此外,PF 模型还采用了晶粒粗化模型来模拟原生 Mg2Si 和原生 Al 相固态晶粒的等温球化过程。铝-熔体界面的界面自由能取自文献,而 Mg2Si-熔体界面的界面能值则采用分子动力学(MD)模型估算。本 PF 模型在不同熔体浇注温度下采用的冷却速率值是通过初步试验实验确定的,而验证实验则是从斜坡上熔体流动前沿的选定位置和等温保温浆料炉中采集浆料样品进行的。从上述样品获得的显微照片证实了所开发的二维 PF 模型在捕捉复合浆料微观结构形态方面的准确性。此外,还发现模型对晶粒直径、形状系数/球形度和固体分数等定量参数的预测与实验测量结果接近。例如,在浆料保持 8 分钟后,原生 Mg2Si 晶粒的晶粒大小和球形度的模拟值具有代表性,分别为 24.01 和 0.834:24.01 和 0.834 μm,而相应的实验值分别为 29.0 和 0.885 μm。
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引用次数: 0
Hot Tearing of Steel Under Different Dendritic Growth Directions 不同树枝状生长方向下的钢材热撕裂
Pub Date : 2024-07-22 DOI: 10.1007/s11663-024-03203-1
Lin Zenghuang, Li Tianyu, Chen Xiangru, Li Lijuan, Zhao Yu, Yuan Huazhi, Zhong Honggang, Zhai Qijie, Han Qingyou

Hot tears are typically classified as intergranular fractures, but recently we have found evidence of dendritic main stem fracture during the hot tearing in steel. This study conducted mechanical property tests on the mushy zone of the steel with stress directions parallel or perpendicular to the primary dendritic arms. The fracture strength and brittle toughness under the two conditions were clearly contrasted. Hot tearing prediction should consider the effects of dendrite morphology and stress direction.

Graphical Abstract

热撕裂通常被归类为晶间断裂,但最近我们发现了钢在热撕裂过程中出现树枝状主干断裂的证据。本研究在应力方向平行或垂直于主树枝状臂的情况下,对钢的粘稠区进行了力学性能测试。两种条件下的断裂强度和脆韧性对比明显。热撕裂预测应考虑枝晶形态和应力方向的影响。
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引用次数: 0
Modeling the Flow Behavior of Wire Arc Additive Manufactured Steel Over a Wide Range of Strain Rates and Temperatures 模拟线弧添加剂制造钢在宽应变速率和温度范围内的流动行为
Pub Date : 2024-07-19 DOI: 10.1007/s11663-024-03176-1
Qian Liu, Jiangbo Li, Jiageng Liu, Bingheng Lu, Yaqiang Tian, Liansheng Chen

Compared to traditional manufacturing processes, the layer-by-layer deposition process of wire arc additive manufacturing brings significant differences in microstructure, resulting in distinct deformation behaviors. This study focuses on developing an appropriate constitutive model to characterize the flow behavior of wire arc additive manufactured (WAAMed) steel. To analyze the deformation behavior of WAAMed steel, the hot compression tests at the temperature range of 850 °C–1150 °C and strain rate range of 0.01–10 s−1 were conducted by Gleeble thermomechanical simulator. The strain-compensated Arrhenius model and modified Johnson–Cook model have been proposed to predict the flow stress under different temperatures and strain rates, as well as the genetic algorithm-back propagation method (GA-BP). The prediction capability of these models has been compared with experimental data using various statistical measures. It can be concluded that all three constitutive models are capable of accurately predicting the flow stress of WAAMed steel. The predictive capability and stability of back propagation artificial neural network were significantly improved by incorporating a genetic algorithm. Compared to the other models, GA-BP model demonstrates the highest accuracy and stability, achieving a relative coefficient of 0.99669 and an average absolute relative error of 3.39 pct.

与传统制造工艺相比,线弧快速成型制造的逐层沉积工艺会带来显著的微观结构差异,从而导致不同的变形行为。本研究的重点是建立一个合适的构成模型来表征线弧快速成型钢(WAAMed)的流动行为。为分析 WAAMed 钢的变形行为,使用 Gleeble 热机械模拟器在 850 °C-1150 °C 温度范围和 0.01-10 s-1 应变速率范围内进行了热压缩试验。提出了应变补偿阿伦尼乌斯模型和改进的约翰逊-库克模型,以及遗传算法-后向传播方法(GA-BP)来预测不同温度和应变速率下的流动应力。这些模型的预测能力通过各种统计量与实验数据进行了比较。可以得出的结论是,这三种构成模型都能准确预测 WAAMed 钢的流动应力。通过采用遗传算法,反向传播人工神经网络的预测能力和稳定性得到了显著提高。与其他模型相比,GA-BP 模型的准确性和稳定性最高,相对系数达到 0.99669,平均绝对相对误差为 3.39 pct。
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引用次数: 0
Thermodynamic Study on Nitrogen Solubility and TiN Formation in Molten Ni-Ti-N Alloys 熔融 Ni-Ti-N 合金中氮溶解度和 TiN 形成的热力学研究
Pub Date : 2024-07-17 DOI: 10.1007/s11663-024-03208-w
Xu-Ze Li, Hao Feng, Hua-Bing Li, Shu-Cai Zhang, Hong-Chun Zhu, Shou-Xing Yang, Jong-Jin Pak, Zhou-Hua Jiang

In the temperature range of 1773 K to 1873 K, nitrogen solubility and TiN formation in molten nickel were studied using melt-gas and melt-gas-nitride equilibrium at atmospheric nitrogen pressure. The nitrogen solubility increased with the increase of Ti content in molten nickel. TiN was formed when titanium and nitrogen in molten nickel reach critical contents. The critical titanium and nitrogen contents for TiN formation were significantly increased with the increase of melt temperature. Thermodynamic analysis of the experimental results was carried out in the form of Wagner interaction parameter. The standard Gibbs free energy change of nitrogen dissolution reaction in molten nickel was obtained as (Delta G_{{text{N}}}^{0} = 53803 + 27.76T{text{ (J/mol)}}). Based on the study of nitrogen solubility in molten Ni-Ti-N alloys, the temperature dependence of interaction parameters between N and Ti can be expressed as (e_{{text{N}}}^{{{text{Ti}}}} = - 800/T + 0.25) and (e_{{{text{Ti}}}}^{{text{N}}} = - 2728/T + 0.85). According to the thermodynamic study of TiN formation in molten Ni-Ti-N alloys, the standard Gibbs free energy change of TiN formation was (Delta G_{{{text{TiN}}}}^{0} = - 203553 + 65.29T , ({text{J/mol}})), and the interaction parameter of Ti on itself was obtained as (e_{{{text{Ti}}}}^{{{text{Ti}}}} = 0.046 , (1773{text{ to }}1873{text{ K}})).

在 1773 K 至 1873 K 的温度范围内,使用常压氮气下的熔融气和熔融气-氮化物平衡研究了熔融镍中的氮溶解度和 TiN 形成。氮溶解度随熔融镍中钛含量的增加而增加。当熔融镍中的钛和氮达到临界含量时,就会形成 TiN。形成 TiN 的临界钛和氮含量随着熔体温度的升高而显著增加。实验结果的热力学分析以瓦格纳相互作用参数的形式进行。得到熔融镍中氮溶解反应的标准吉布斯自由能变化为:(Delta G_{{text{N}}^{0} = 53803 + 27.76T{{text{ (J/mol)}} )。根据对熔融 Ni-Ti-N 合金中氮溶解度的研究,N 和 Ti 之间相互作用参数的温度依赖性可表示为:(e_{{text/{N}}^{{text/{Ti}}}} = - 800/T + 0.25) 和 (e_{{text/{Ti}}}}^{{text/{N}} = - 2728/T + 0.85)。根据熔融 Ni-Ti-N 合金中 TiN 形成的热力学研究,TiN 形成的标准吉布斯自由能变化为(△ G_{{text{TiN}}}}^{0} = - 203553 + 65.29T , ({text{J/mol}})),Ti 与自身的相互作用参数为:(e_{{text{Ti}}}}^{{text{Ti}}}} = 0.046 , (1773{text{ to }}1873{text{K}})。
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引用次数: 0
Effect of Cooling Rate on Inclusions, Primary Carbides, and Microstructure in Rare-Earth H13 Steel 冷却速度对稀土 H13 钢中夹杂物、原生碳化物和显微组织的影响
Pub Date : 2024-07-17 DOI: 10.1007/s11663-024-03207-x
Jing-feng Wang, Junqi Li, Linzhu Wang, Chaoyi Chen, Xiang Wang, Fei Zhao
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引用次数: 0
A Numerical Investigation into the Effect of Thermal Shrinkage and Solidification Shrinkage on the Microstructure and Macrosegregation for Continuous Casting Billet 热收缩和凝固收缩对连铸坯微观结构和宏观偏析影响的数值研究
Pub Date : 2024-07-17 DOI: 10.1007/s11663-024-03215-x
Tinghe Qiao, Shuang Wang, Rui Guan, Xiaolei Zhu, Xingang Ai, Ji Yang, Shengli Li

As a typical metallurgical defect, macrosegregation seriously affects the internal quality of the continuous casting billet, and it cannot be solved by processes such as high-temperature diffusion and rolling. For continuous casting billet, the solidification shrinkage and thermal shrinkage of the microstructure directly affect the macrosegregation defect. In order to reveal the effects of solidification shrinkage and thermal shrinkage on the melt flow, microstructure distribution, and solute segregation, a multiphase solidification model based on the Eulerian–Eulerian approach was established in this work. The growth behaviors of the columnar dendrite trunk and the columnar dendrite tip were fully considered, as well as the nucleation, growth, free migration of equiaxed grains, and the columnar-to-equiaxed transition (CET). Besides, the corresponding relationship between the secondary dendrite arm spacing (SDAS) and the cooling rate has also been taken into account in the model, which makes the net mass transport source term of the mass conservation equations more accurate. The calculation results show that when no any shrinkage behavior is considered in the model, the melt flow velocity in front of the solidification end will gradually decrease until it is the same as the casting speed, and the segregation index at the billet center will gradually increase until it reaches the maximum value at the solidification end. Both thermal shrinkage and solidification shrinkage can generate a negative pressure zone in the billet center, sucking the poor-solute melt located the upstream of continuous casting strand flows towards the solidification end, and mixing with the enriched-solute melt before the solidification end, thereby inhibiting macrosegregation. However, compared with the solidification shrinkage, the effect of thermal shrinkage on reducing the positive segregation index in the billet center is limited.

宏观偏析作为一种典型的冶金缺陷,严重影响连铸坯的内部质量,而且无法通过高温扩散和轧制等工艺来解决。对于连铸坯,微观组织的凝固收缩和热收缩直接影响宏观偏析缺陷。为了揭示凝固收缩和热收缩对熔体流动、微观结构分布和溶质偏析的影响,本文建立了基于欧拉-欧拉方法的多相凝固模型。该模型充分考虑了柱状枝晶主干和柱状枝晶尖端的生长行为,以及等轴晶粒的成核、生长、自由迁移和柱状到等轴的转变(CET)。此外,模型中还考虑了二次枝晶臂间距(SDAS)与冷却速率之间的相应关系,从而使质量守恒方程中的净质量传输源项更加精确。计算结果表明,当模型中不考虑任何收缩行为时,凝固端前方的熔体流动速度将逐渐减小,直至与浇铸速度相同,坯料中心的偏析指数将逐渐增大,直至在凝固端达到最大值。热收缩和凝固收缩都能在坯料中心产生负压区,将位于连铸坯上游的贫溶质熔体吸向凝固端,并在凝固端之前与富溶质熔体混合,从而抑制宏观偏析。然而,与凝固收缩相比,热收缩对降低坯料中心正偏析指数的作用有限。
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引用次数: 0
Mechanical Shearing-Aided One-Step Compound Casting of Al/Fe Bimetal 机械剪切辅助一步法复合铸造铝/铁双金属
Pub Date : 2024-07-16 DOI: 10.1007/s11663-024-03210-2
Cong Wang, Shuaibing Xue, Tianjiao Luo, Guowei Zhang, Hong Xu
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引用次数: 0
期刊
Metallurgical and Materials Transactions B
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