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Morphology and Precipitation Kinetics of MnS in Low-Carbon Steel During Thin Slab Continuous Casting Process 被引量:11
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作者 YU Hao KANG Yong-lin +1 位作者 ZHAO Zheng-zhi SUN Hao 《Journal of Iron and Steel Research(International)》 SCIE EI CAS CSCD 2006年第5期30-36,共7页
The morphology of manganese sulfide formed during thin slab continuous casting process in low-carbon steel produced by compact strip production (CSP) technique was investigated. Using transmission electron microscop... The morphology of manganese sulfide formed during thin slab continuous casting process in low-carbon steel produced by compact strip production (CSP) technique was investigated. Using transmission electron microscopy analysis, it was seen that a majority of manganese sulfides precipitated at austenite grain boundaries, the morphologies of which were spherical or close to the spherical shape and the size of MnS precipitates ranged from 30 nm to 100 nm. A mathematical model of the manganese sulfide precipitation in this process was developed based on classical nucleation theory. Under the given conditions, the starting and finishing precipitation temperatures of MnS in the continuous casting thin slab of the studied low-carbon steel are 1 189 ℃ and 1 171 ℃, respectively, and the average diameter of MnS precipitates is about 48 nm within this precipitation temperature range. The influences of chemical components and thermo-mechanical processing conditions on the precipitation behavior of MnS in the same process were also discussed. 展开更多
关键词 MORPHOLOGY thin slab continuous casting precipitation kinetics compact strip production TEM
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DANIELI concepts and experiences in thin slab casting and rolling technology for HRC production—the evolution of a winning process route to face increasing market requirements 被引量:2
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作者 Carlo P PIEMONTE Alessandro PIGANI 《Baosteel Technical Research》 CAS 2010年第S1期106-,共1页
The direct rolling process for hot strip production,where the thin slab caster is connected directly to the mill,has gained market share rapidly because of its remarkable advantages in terms of energy savings and inve... The direct rolling process for hot strip production,where the thin slab caster is connected directly to the mill,has gained market share rapidly because of its remarkable advantages in terms of energy savings and investment cost over the conventional hot strip mills. However,the unquestionable advantages of the first-generation applications of this plant concept also entail significant limitations both in productivity and steel grades that can be produced. Since his first pioneering applications,Danieli considered strategic the development of new technical solutions specifically conceived to overcome these limitations with the goal of increasing plant production volumes and enlarging steel grade product mix,in order to cover the gap between "Conventional mill" and "Thin slab casting and rolling" process routes. In order to reach this goal,Danieli has developed a complete portfolio of plant lay outs adopting Thin Slab Casting and Rolling technologies,each of them conceived to guarantee the optimal CAPEX and OPEX parameters in fitting with market requirements our Customer intend to target.in terms of productivity,steel grades and coil dimension product mix. Danieli TSR(Thin Slab Rolling) fTSR(flexible Thins Slab Rolling) QSP(Quality Strip Production) and ETR(Extra Thin Rolling) plant configurations are analyzed in this paper. With this diversified approach,Danieli solutions are most appropriate answers to thin slab casting and rolling to produce hot rolled coils with superior quality and an extremely diversified range of steel grades. Already,this approach has allowed Danieli plants to:①exceed the threshold production of 3.0 Mt/a with 2 casting strands in operation as done in Tangshan Iron and Steel plant in P.R.China since 2005;②expand the product mix to include virtually all the steel grades used for flat product applications,including the most demanding ones,such as peritectic(in Essar Algoma Canada and Benxi Iron and Steel,China),micro-alloyed,and silicon steels,for the most sophisticated applications,such as automotive and pipe manufacturing,including Arctic applications,(as done in OMK plant in Russia);③extend the range of final strip thicknesses to include ultra thin gauges,down to 0.8 mm(as in Ezz Flat Steel,in Egypt). 展开更多
关键词 direct rolling process thin slab casting thin slab rolling(TSR)
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Modeling of unsteadiness of fluid flows and level fluctuations in thin slab continuous casting moulds 被引量:1
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作者 ZHANG Huanxin WANG Lei LIU Baicheng 《Baosteel Technical Research》 CAS 2010年第3期49-52,共4页
Unsteady fluid flows and level fluctuations in a thin slab continuous casting mould have significant influence on product quality. In this study, the phenomena concerning transient flow features and free surface motio... Unsteady fluid flows and level fluctuations in a thin slab continuous casting mould have significant influence on product quality. In this study, the phenomena concerning transient flow features and free surface motions were analyzed by means of the large eddy simulation (LES) software with the smagorinsky SGS model--VisualCast (VCast) II, where the Simpler algorithm on a body-fitted mesh was used to resolve governing equations. A series of water analog experiments on the fluid flow and the surface wave in the moulds of thin slab continuous casting were also performed. The results of fluid regions, middle of vortex and level fluctuation from digital simulations were identical with the results of the water analog experiments. 展开更多
关键词 thin slab continuous casting mould flow level fluctuation mathematical simulation water analog experiment
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Temperature distribution and dynamic control of secondary cooling in slab continuous casting 被引量:9
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作者 Liang-hang Guo Yong Tian +1 位作者 Man Yao Hou-fa Shen 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2009年第6期626-631,共6页
To predict and optimize the temperature distribution of slab continuous casting in steady operational state, a three-dimensional model (named "offline model") based on the heat transfer and solidification theories... To predict and optimize the temperature distribution of slab continuous casting in steady operational state, a three-dimensional model (named "offline model") based on the heat transfer and solidification theories was developed. Both heat transfer and flux distribution characteristics of the nozzle sprays on the slab were considered, and the complicated boundary conditions, such as spray cooling, natural convection, thermal radiation as well as contact cooling of individual rolls were involved in the model. By using the calibrated caster dependent model factors, the calculated temperature and shell thickness accorded well with the measured. Furthermore, a dynamic secondary water cooling control system was also developed on the basis of a two-dimensional transient heat transfer model (named "online model") and incremental PID control algorithm to reduce slab surface temperature fluctuation in unsteady state. Compared with the traditional spray table control method, the present online model and dynamic PID control demonstrate a higher capability and flexibility to adjust cooling water flowrate and reduce slab surface temperature fluctuation when the casting speed is changed. 展开更多
关键词 mathematical model slab temperature dynamic control continuous casting
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STUDY OF DYNAMIC RECRYSTALLIZATION OF LOW CARBON STEEL IN THIN SLAB CONTINUOUS ROLLING PROCESS 被引量:3
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作者 X.K. Liang X.J. Sun Q.Y. Liu H. Dong 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2006年第4期265-270,共6页
Combined with the technological characteristics of thin slab continuous rolling process (TSCR), dynamic recrystallization of an extremely coarse austenite of low carbon steel is studied by Thermecmaster-Z hot simula... Combined with the technological characteristics of thin slab continuous rolling process (TSCR), dynamic recrystallization of an extremely coarse austenite of low carbon steel is studied by Thermecmaster-Z hot simulator. By the analysis of true stress-strain curves and the observation of microstructures at different deformation stages, the critical stress and critical strain are determined under different deformation conditions. The effect of Z parameter on dynamic recrystallization of coarse austenite is studied. The microstructure evolution in real production is also discussed. 展开更多
关键词 TSCR thin slab continuous rolling process) coarse austenite dynamic recrystallization
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INVESTIGATION ON HOT DUCTILITY AND STRENGTH OF CONTINUOUS CASTING SLAB FOR AH32 STEEL 被引量:2
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作者 G. Y. Li X.F. Li L.G. Ao 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2006年第1期75-78,共4页
By means of Gleeble-1500 testing machine, the simulation of continuous casting process forAH32 steel was carried out and hot ductility and strength were determined. The cracking sensitivity was studied under the diffe... By means of Gleeble-1500 testing machine, the simulation of continuous casting process forAH32 steel was carried out and hot ductility and strength were determined. The cracking sensitivity was studied under the different temperatures and strain rates. The Precipitations of AIN at different temperatures and the fractures of high-temperature tensile samples were observed by using TEM (transmission electron microscope) and SEM (scanning electron microscope). The factors affecting the brittle temperature zone were discussed. 展开更多
关键词 continuous casting slab brittle temperature zone tensile strength ductility SIMULATION
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Numerical Simulation of Fluid Flow and Heat Transfer in Funnel Shaped Mold of Thin Slab Continuous Caster 被引量:2
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作者 ZHU Miao-yong WANG Jun ZHANG Ying 《Journal of Iron and Steel Research(International)》 SCIE CAS CSCD 2005年第6期14-19,共6页
Thin slab casting is used widely in the world. The control of molten steel flow and solidification in the mold is difficult due to the high casting speed and complicated configuration of the mold. Numerical simulation... Thin slab casting is used widely in the world. The control of molten steel flow and solidification in the mold is difficult due to the high casting speed and complicated configuration of the mold. Numerical simulation was carried out to study the fluid flow and heat transfer in the funnel shaped mold. The influence of nozzle design, casting speed and nozzle submersion depth on the flow and temperature fields in the mold was investigated, and guidance for selecting configurations of submerged nozzle was obtained. 展开更多
关键词 thin slab continuous casting fluid flow heat transfer numerical simulation
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Effects of the width and thickness of slabs on broadening in continuous casting 被引量:1
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作者 Jian-xun Fu Jing-she Li Hui Zhang 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2010年第6期723-728,共6页
关键词 continuous casting slabS BROADENING finite element method
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Flow and Temperature Fields in Slab Continuous Casting Molds 被引量:1
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作者 Yin Zhang Liguo Cao +2 位作者 Youduo He Shiqi Li Yishen Shen(Institute of Metallurgical Engineering, Baotou University of Iron & Steel Technology Baotou 014010, China)(Metallurgy School, University of Science and Technology Beijing, Beijing 100083, China) 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2000年第2期103-106,共4页
In order to develop super-board and super-thick slabs, the flow and temperatur fields were studied in slab continuous casting molds under different practical conditions, such as slab dimensions, with-drawing slab spee... In order to develop super-board and super-thick slabs, the flow and temperatur fields were studied in slab continuous casting molds under different practical conditions, such as slab dimensions, with-drawing slab speed, design of nozzles, and superheat tempera-ture. The results showed that it is preferred to incline nozzle bores downwards and the submerged depth of the nozzles is best kept be-tween 250-300 mm. In addition, the solidified shell is thicker at the wide face than that at the narrow face, while the thin points alongthe wide face ekist both in the center and in the some area toward each respective end. 展开更多
关键词 slab continuous casting mold flow field temperature field mathematical model
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INFLUENCES OF CASTING SPEED AND SEN DEPTH ON FLUID FLOW IN THE FUNNEL TYPE MOLD OF A THIN SLAB CASTER 被引量:1
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作者 B.W. Li X.Y. Tian E.G. Wang J.C. He 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2007年第1期15-26,共12页
In recent years, thin slab continuous casting technology has been widely used to improve the quality of the product and to reduce the cost. One of the challenges faced by this technology is to design reasonable flow p... In recent years, thin slab continuous casting technology has been widely used to improve the quality of the product and to reduce the cost. One of the challenges faced by this technology is to design reasonable flow patterns, which strongly affect the surface and inner properties of the final slab in the mold. With the fixed scales and complex geometrical structures of nozzle and funnel type mold, a series of numerical simulations are made to analyze the flow patterns in melt steel using finite volume method based on structured body fitted coordinate grids. The CFD (computational fluid dynamics) package is validated first using one typical case described in previously published studies, and then it is developed to study the effect of operational parameters on fluid flow in thin slab caster. Two operational parameters, casting speed and SEN (submerged entry nozzle) depth, are mainly considered for numerical analysis. On the basis of present simulations, the reasonable SEN submergence depths corresponding to different casting speeds are suggested according to fluid flow characteristics like, flow jet impingement on the narrow side of the mold, flow speed of the melt steel beneath the meniscus and the recirculation region. This is the first stage of study on the numerical analysis of the whole thin slab casting process with electromagnetic brake. 展开更多
关键词 continuous casting thin slab submerged entry nozzle (SEN) numerical analysis funnel type mold standard k-ε model RNG (renormalization group) k-ε model
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Slab Storage Calculation Method for Continuous Casting-Hot Rolling
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作者 PENGQi-chun LIUQing TIANNai-yuan 《Journal of Iron and Steel Research(International)》 SCIE EI CAS CSCD 2004年第1期33-36,共4页
Based on load-oriented manufacturing control theory,different combining modes and slab storage calculation method for continuous casting and hot rolling were discussed.The buffer capacity index of continuous casting-r... Based on load-oriented manufacturing control theory,different combining modes and slab storage calculation method for continuous casting and hot rolling were discussed.The buffer capacity index of continuous casting-rolling was introduced,and the reasonable slab storage under different combining modes was calculated with buffer capacity index of 120.00 hfor CCR,79.20 hfor HCR,19.68 hfor DHCR and 3.84 hfor DR.Thin slab is 1.20 h,and the strip is zero.Theory gist was provided for steel enterprise to decrease storage. 展开更多
关键词 continuous casting hot rolling production control slab STORAGE
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Technological Investigation on the Continuous Casting of Mid-Width Thin Slabs
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作者 AN Yong ZHAMG Bai Ting +1 位作者 ZHANG Hui NI Man Sen and JI Xiu Qin 《Journal of Iron and Steel Research(International)》 SCIE EI CAS CSCD 1994年第1期13-18,共6页
Continuous casting of thin slabs is a key state project for 7th and sth five -year plans. On thebasis of foundamental works , CISRI condueted the tests of 102 heats in Lanzhou Steel Works in the periodof January 1991-... Continuous casting of thin slabs is a key state project for 7th and sth five -year plans. On thebasis of foundamental works , CISRI condueted the tests of 102 heats in Lanzhou Steel Works in the periodof January 1991- June 1992. Three slab assortments of 50× 900 mm . 70 × 900 mm , 70 × 500 mm were ex-amined. In June of 1992, 412 t steel of 46 heats were cast with the efficiency of 91. 3 %. This. result meetsthe requiremeni of the state in this period. The mould, hedt transfer . casting technology and factors influ-encing slab’s qualities are investigated as well. 展开更多
关键词 niould continuous casting of thin slab technological properties
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Modeling and control of dynamic soft reduction in continuous slab casting
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作者 GUO Liangliang~(1)),SHEN Houfa~(2)) and YAO Man~(3)) 1) Research Institute,Baoshan Iron & Steel Co.,Ltd.,Shanghai 200940,China 2) Department of Mechanical Engineering,Tsinghua University,Beijing 100084,China 3) School of Materials Science and Engineering,Dalian University of Technology,Dalian 116024,China 《Baosteel Technical Research》 CAS 2010年第S1期27-,共1页
The centerline segregation in continuous casting steel is known to be formed by the interdendritic enriched liquid flow at the solidification end in strand.At present,several methods,such as thermal soft reduction, el... The centerline segregation in continuous casting steel is known to be formed by the interdendritic enriched liquid flow at the solidification end in strand.At present,several methods,such as thermal soft reduction, electromagnetic stirring and dynamic soft reduction,are available to reduce the center segregation and to improve the internal quality.Although some methods could alleviate center segregation to some extent,they can also give rise to new problems.For instance,thermal soft reduction can lead to surface cracking during casting of some steels and electromagnetic stirring can result in white band.Dynamic soft reduction is an effective technology for the improvement of strand quality in continuous slab casting.In this paper,the key parameters of dynamic soft reduction technology,such as soft reduction region,the total reduction amount,for low carbon steel have been studied based on experimental and theoretical analysis.The soft reduction region was related to the segregation of chemical composition,slab bulging of narrow side and avoiding internal crack of slab.The total reduction amount was composed of natural thermal shrinkage and actual reduction amount depending on critical strain.For low carbon steel with slab dimension of(950 - 1 950) mm×170 mm,the solid fraction range in soft reduction region was recommended from 0.4 to 0.8,the total reduction amount was 2.0 -2.8 mm,and the optimized reduction rate was 0.4 - 1.2 mm/min,respectively.Furthermore,a dynamic soft reduction system in continuous slab casting, Visual Cast-Dynamic,has been developed by multithreading method.It demonstrated that the dynamic soft reduction model in this study was correct with the ability of online control. 展开更多
关键词 continuous slab casting dynamic soft reduction soft reduction region total reduction amount
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Physical modeling and numerical simulation of electromagnetic stirring in a slab continuous casting mold
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作者 LI Bin LEI Zuosheng +6 位作者 GE Jiangmeng ZHONG Yunbo REN Zhongming ZHOU Yueming WU Cunyou JIN Xiaoli WEI Rujun 《Baosteel Technical Research》 CAS 2016年第1期3-9,共7页
Through physical modeling and numerical simulation,the flow field in a slab continuous casting mold with electromagnetic stirring is measured under different casting parameters and stirring currents. To qualitatively ... Through physical modeling and numerical simulation,the flow field in a slab continuous casting mold with electromagnetic stirring is measured under different casting parameters and stirring currents. To qualitatively evaluate the flow field in the mold, two indexes,i, e., mold flux entrapment and velocity uniformity, are proposed. Based on these two indexes, some optimized stirring parameters under different casting conditions can be determined. 展开更多
关键词 slab continuous casting mold electromagnetic stirring optimized parameters
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Physical modeling of gas-liquid interfacial fluctuation in a thick slab continuous casting mold with argon blowing 被引量:5
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作者 Shu-guo Zheng Miao-yong Zhu 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2010年第6期704-708,共5页
Combining with the physical model of level fluctuation in a thick slab continuous casting mold with the cross-section of 1500 mm×280 mm and argon blowing, the rationalities of estimating the level fluctuation by ... Combining with the physical model of level fluctuation in a thick slab continuous casting mold with the cross-section of 1500 mm×280 mm and argon blowing, the rationalities of estimating the level fluctuation by three traditional quantitative approaches were discussed, and the effects of gas flowrate, casting speed, and the immersion depth of submerged entry nozzle (SEN) on the level fluctuation were also investigated. As a result, it seems that three traditional quantitative approaches are not very suitable for estimating the level fluctuation in a mold with argon blowing, so a new approach for estimating level fluctuation in the mold with argon blowing was presented. The experimental results show that the level fluctuation is mainly in the region around the nozzle wall. When the casting speeds are larger than a certain value, there is the escape of large bubbles near the nozzle wall, which causes an obvious increase of level fluctuation. Furthermore, optimal process parameters, viz., the gas flowrate of 6 NL/min, the casting speed of 1.1 m/min, and the immersion depth of 170 mm, are presented to restrain the level fluctuation by a physical model. 展开更多
关键词 slabS continuous casting MOLDS level fluctuation modelling
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Surface turbulence in a physical model of a steel thin slab continuous caster 被引量:3
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作者 A. Hajari M. Meratian 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2010年第6期697-703,共7页
In the thin slab continuous casting (TSCC) of steel, the issue of optimum fluid flow is very important due to higher casting speeds and has direct influence on the formation of solidified shells and the quality of f... In the thin slab continuous casting (TSCC) of steel, the issue of optimum fluid flow is very important due to higher casting speeds and has direct influence on the formation of solidified shells and the quality of final products. In the current work, a full-scale physical mod- eling of a thin slab easter on the basis of dimensionless Reynolds and Froude similarity criteria was constructed. The flow pattern in the funnel shaped mold with a new tetra-furcated submerged entry nozzle (SEN) was investigated. To determinate optimum operational parameters, some experiments were carried out under various casting conditions. The results show that the tetra-furcated design of the nozzle leads to a special flow pattern in the mold cavity with three-dimensional recirculating flow. It is also shown that the increase of casting speed and gas injection results in surface turbulence. On the other hand, using a higher depth of SEN decreases the vortex in the free surface of the caster. To avoid surface turbulent and related casting problems, it is recommended to use 30-cm and 40-cm SEN depth at the casting speeds of 3.5 and 4.5 m/min, respectively. 展开更多
关键词 continuous casting slabS MODELLING optimization
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Water modeling of mold powder entrapment in slab continuous casting mold 被引量:4
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作者 Qiaotong Lu Rongguang Yang Xinhua Wang Jiongming Zhang Wanjun Wang 《Journal of University of Science and Technology Beijing》 CSCD 2007年第5期399-404,共6页
The optimal parameters were determined by the water modeling of slab casting. It was found that there are mainly three types of mold powder entrapment in slab continuous casting, i.e., the entrapment caused by the she... The optimal parameters were determined by the water modeling of slab casting. It was found that there are mainly three types of mold powder entrapment in slab continuous casting, i.e., the entrapment caused by the shearing flow near the narrow face of mold, the entrapment caused by vortexes around the submerged entry nozzle (SEN), and the entrapment caused by the Ar bubbling. Both the velocity of the surface flow and the level fluctuation of the liquids are enlarged with increasing the casting speed, reducing the submersion depth of SEN, decreasing the downward angles of the nozzle outlets, and increasing the Ar flowrate, all of which increase the tendency of mold powder entrapment. Among the four above-mentioned factors, casting speed has the largest effect. 展开更多
关键词 continuous casting slab MOLD mold powder water model
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Characteristics of shell thickness in a slab continuous casting mold 被引量:3
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作者 Di-feng Wu Shu-sen Cheng Zi-jian Cheng 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2009年第1期25-31,共7页
The key to reduce shell breakout in the continuous casting process is to control shell thickness in the mold. A numerical simulation on the turbulent flow and heat transfer coupled with solidification in the slab mold... The key to reduce shell breakout in the continuous casting process is to control shell thickness in the mold. A numerical simulation on the turbulent flow and heat transfer coupled with solidification in the slab mold using the volume of fluid (VOF) model and the enthalpy-porosity scheme was conducted and the emphasis was put upon the flow effect on the shell thickness profiles in longitudinal and transverse directions. The results show that the jet acts a stronger impingement on the shell of narrow face, which causes a zero-increase of shell thickness in a certain range near the impingement point. The thinnest shell on the slab cross-section locates primarily in the center of the narrow face, and secondly near the comer of the wide face. Nozzle optimization can obviously increase the shell thickness and make it more uniform. 展开更多
关键词 continuous casting slab mold shell thickness nozzle optimization
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Strain in solidifying shell of continuous casting slabs 被引量:3
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作者 Guosen Zhu, Xinhua Wang, Huixiang Yu, and Wanjun WangMetallurgical Engineering School, University of Science and Technology Beijing, Beijing 100083, China 《Journal of University of Science and Technology Beijing》 CSCD 2003年第6期26-29,共4页
Two-dimension unsteady heat transfer model was applied to obtain the surfacetemperature and the shell thickness of continuous casting slabs during the process ofsolidification. On the basis of which, the mathematical ... Two-dimension unsteady heat transfer model was applied to obtain the surfacetemperature and the shell thickness of continuous casting slabs during the process ofsolidification. On the basis of which, the mathematical model of strain at the interface of solidand liquid steel was set up. Through which, the strain in the solidifying shell under normal andabnormal operation conditions was gained. The results indicate that the strain is small under thenormal operation conditions and the internal crack never happens. However, when the variation of theroll gap is above 2 mm, the strain caused by which is greater than that caused by bulging.Furthermore, the total strain exceeds the critical one and the internal crack is the result. So itis of great importance to maintain the fine state of continuous casting machine to avoid theappearance of internal crack. 展开更多
关键词 internal crack STRAIN BULGING unbending continuous casting slab
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Longitudinal crack on slab surface at straightening stage during continuous casting using finite element method 被引量:5
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作者 喻海良 刘相华 《Journal of Central South University》 SCIE EI CAS 2010年第2期235-238,共4页
Deformation behavior of slab at the straightening stage during continuous casting was simulated by the explicit dynamic finite element method,and the stress distribution along the width direction of the slab and its c... Deformation behavior of slab at the straightening stage during continuous casting was simulated by the explicit dynamic finite element method,and the stress distribution along the width direction of the slab and its change regularity at slab center during continuous casting were obtained.The influence of distribution and change of stress on the propagation of longitudinal cracks on slab surface was discussed.The results show that the tensional stress appears on slab surface at the inner arc side and the compressive stress appears on slab surface at the outer arc side at stages 6-8 in straightening zone during continuous casting.Longitudinal cracks generally appear on slab top surface and do not appear on slab bottom surface,which are also observed in industry. 展开更多
关键词 表面纵裂纹 连铸过程 板坯 有限元法 有限元方法 变形行为 应力分布 变化规律
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