{"title":"Research on Mathematical Model and Process Parameter Optimization of Rotary Hearth Furnace Process Toward Energy and Cost Saving","authors":"Yingpeng Dong, Yanbing Zong, Runsheng Xu, Yuancheng Huang, Jianliang Zhang, Rongrong Wang, Jinpeng Shi, Yongsheng Yang","doi":"10.1007/s11663-024-03190-3","DOIUrl":"https://doi.org/10.1007/s11663-024-03190-3","url":null,"abstract":"<p>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.</p>","PeriodicalId":18613,"journal":{"name":"Metallurgical and Materials Transactions B","volume":"111 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141773309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Ultrasounds Induced Microstructure Transition and Improved Mechanical Property of Directionally Solidified Ternary Cu–Al–Ni Alloy","authors":"Y. J. Hu, J. Y. Wang, W. Zhai, B. Wei","doi":"10.1007/s11663-024-03213-z","DOIUrl":"https://doi.org/10.1007/s11663-024-03213-z","url":null,"abstract":"<p>Two ultrasonic modes, <i>i.e.</i>, continuous and pulsed ultrasounds, were introduced into the directional solidification process of Cu<sub>68.3</sub>Al<sub>27.6</sub>Ni<sub>4.1</sub> alloy. A columnar-to-equiaxed structure transition occurred to primary <i>β</i>(Cu<sub>3</sub>Al) phase within continuous ultrasonic field, which was accompanied with a grain size reduction by 7.5 times. Under pulsed ultrasound, <i>β</i> phase maintained the fine columnar structures with a similar grain size. In the former case, numerous <i>β</i> 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 <i>β</i> 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.</p>","PeriodicalId":18613,"journal":{"name":"Metallurgical and Materials Transactions B","volume":"94 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141773311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Model for Surface Tension of Pure Liquid Metals: Revisit to Iida’s Model","authors":"Yoongu Kang, In-Ho Jung","doi":"10.1007/s11663-024-03209-9","DOIUrl":"https://doi.org/10.1007/s11663-024-03209-9","url":null,"abstract":"<p>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 (<span>({sigma }_{m})</span>) of liquid metal at its melting temperature proposed by Iida <i>et al.</i> uses a generalized <span>(alpha )</span> 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 <span>(alpha )</span> value using the equilibrium interatomic distance (<span>({r}_{e})</span>) and atomic radius (<span>({r}_{a})</span>). Assigning an accurate <span>(alpha )</span> value for each element greatly improves the prediction accuracy of the surface tension for liquid metals. Furthermore, the critical temperature (<span>({T}_{c})</span>) was calculated based on the interatomic distance (<span>({r}_{c})</span>) at <span>({T}_{c})</span> and temperature coefficient of density (<span>(d{rho }_{T})</span>/<span>(dT)</span>) and used to predict the temperature dependence coefficient of surface tension (<span>(d{sigma }_{T})</span>/<span>(dT)</span>). As results, more accurate surface tensions of 42 liquid metals were predicted over the entire liquid state temperature.</p><h3 data-test=\"abstract-sub-heading\">Graphical Abstract</h3>","PeriodicalId":18613,"journal":{"name":"Metallurgical and Materials Transactions B","volume":"67 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141773075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Phase Field Model of Semi-solid Slurry Generation and Isothermal Coarsening of Novel Al-15Mg2Si-4.5Si Composite","authors":"Indrani Mukherjee, Prosenjit Das","doi":"10.1007/s11663-024-03212-0","DOIUrl":"https://doi.org/10.1007/s11663-024-03212-0","url":null,"abstract":"<p>The present study speaks of development of a two-dimensional phase field (PF) model to simulate the cooling slope rheoprocessing of the novel Al-15Mg<sub>2</sub>Si-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 Mg<sub>2</sub>Si 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 Mg<sub>2</sub>Si–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 Mg<sub>2</sub>Si grains, after 8 minutes of slurry holding, are as follows: 24.01 and 0.834 <i>μ</i>m, whereas the corresponding experimental values are 29.0 and 0.885 <i>μ</i>m, respectively.</p><h3 data-test=\"abstract-sub-heading\">Graphical Abstract</h3>\u0000","PeriodicalId":18613,"journal":{"name":"Metallurgical and Materials Transactions B","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141773313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lin Zenghuang, Li Tianyu, Chen Xiangru, Li Lijuan, Zhao Yu, Yuan Huazhi, Zhong Honggang, Zhai Qijie, Han Qingyou
{"title":"Hot Tearing of Steel Under Different Dendritic Growth Directions","authors":"Lin Zenghuang, Li Tianyu, Chen Xiangru, Li Lijuan, Zhao Yu, Yuan Huazhi, Zhong Honggang, Zhai Qijie, Han Qingyou","doi":"10.1007/s11663-024-03203-1","DOIUrl":"https://doi.org/10.1007/s11663-024-03203-1","url":null,"abstract":"<p>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.</p><h3 data-test=\"abstract-sub-heading\">Graphical Abstract</h3>\u0000","PeriodicalId":18613,"journal":{"name":"Metallurgical and Materials Transactions B","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141773314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modeling the Flow Behavior of Wire Arc Additive Manufactured Steel Over a Wide Range of Strain Rates and Temperatures","authors":"Qian Liu, Jiangbo Li, Jiageng Liu, Bingheng Lu, Yaqiang Tian, Liansheng Chen","doi":"10.1007/s11663-024-03176-1","DOIUrl":"https://doi.org/10.1007/s11663-024-03176-1","url":null,"abstract":"<p>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<sup>−1</sup> 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. </p>","PeriodicalId":18613,"journal":{"name":"Metallurgical and Materials Transactions B","volume":"80 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Thermodynamic Study on Nitrogen Solubility and TiN Formation in Molten Ni-Ti-N Alloys","authors":"Xu-Ze Li, Hao Feng, Hua-Bing Li, Shu-Cai Zhang, Hong-Chun Zhu, Shou-Xing Yang, Jong-Jin Pak, Zhou-Hua Jiang","doi":"10.1007/s11663-024-03208-w","DOIUrl":"https://doi.org/10.1007/s11663-024-03208-w","url":null,"abstract":"<p>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 <span>(Delta G_{{text{N}}}^{0} = 53803 + 27.76T{text{ (J/mol)}})</span>. Based on the study of nitrogen solubility in molten Ni<b>-</b>Ti-N alloys, the temperature dependence of interaction parameters between N and Ti can be expressed as <span>(e_{{text{N}}}^{{{text{Ti}}}} = - 800/T + 0.25)</span> and <span>(e_{{{text{Ti}}}}^{{text{N}}} = - 2728/T + 0.85)</span>. According to the thermodynamic study of TiN formation in molten Ni<b>-</b>Ti-N alloys, the standard Gibbs free energy change of TiN formation was <span>(Delta G_{{{text{TiN}}}}^{0} = - 203553 + 65.29T , ({text{J/mol}}))</span>, and the interaction parameter of Ti on itself was obtained as <span>(e_{{{text{Ti}}}}^{{{text{Ti}}}} = 0.046 , (1773{text{ to }}1873{text{ K}}))</span>.</p>","PeriodicalId":18613,"journal":{"name":"Metallurgical and Materials Transactions B","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141717682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Tinghe Qiao, Shuang Wang, Rui Guan, Xiaolei Zhu, Xingang Ai, Ji Yang, Shengli Li
{"title":"A Numerical Investigation into the Effect of Thermal Shrinkage and Solidification Shrinkage on the Microstructure and Macrosegregation for Continuous Casting Billet","authors":"Tinghe Qiao, Shuang Wang, Rui Guan, Xiaolei Zhu, Xingang Ai, Ji Yang, Shengli Li","doi":"10.1007/s11663-024-03215-x","DOIUrl":"https://doi.org/10.1007/s11663-024-03215-x","url":null,"abstract":"<p>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.</p>","PeriodicalId":18613,"journal":{"name":"Metallurgical and Materials Transactions B","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141717680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}