连铸中间包钢水夹杂物浓度的数值模拟

以宝钢二连铸50t“T型”中间包为研究对象,采用有限差分方法,计算了中间包的三维流场、温度场及量纲为1的夹杂物浓度的分布,分析了中间包的内部结构、中间包钢水液面高度及夹杂物当量直径对夹杂物排出率的影响.结果表明,双坝、堰“T型”中间包对夹杂物上浮十分有利.     

Numerical Modeling of Microstructure Evolution During Forging of Crank Shafts

Application of numerical simulations to improve forging technology for crank shafts is the objective of this work. Thermal–mechanical finite element model combined with closed form equations describing microstructure evolution is used. Simulations of grain size changes in several locations in the volume of the forging were performed. Results of simulations allow to evaluate microstructure of the final product.     

双材料挤压成形的数值分析

基于非线性有限元理论和方法，并引入摩擦单元技术，对双材料的挤压成形进行了数值分析，揭示了挤压过程中双材料的流动规律。     

Numerical Modeling of Magnetohydrodynamics and Solidification Phenomena in PAM Processed Ti-6Al-4V Ingots

This paper presents a methodology for modeling and analysis of the interaction between two electromagnetic(EM)fields in a solidifying Ti-6A1-4V(Ti-6-4)ingot processed by the plasma arc cold hearth melting(PAM)process.The two EM fields are generated by the induction coils(stirrer)around the ingot mold and by the plasma torch.This methodology is based on the numerical solution of Maxwell’s equations,fluid flow,and heat transfer equations,and modeling of the grain structure.Numerical simulations at the macro-level were conducted using a CFD software.A stochastic model was developed and applied to simulate the grain structure at the mesoscopic level.Simulation results for5-in and 8-in diameter Ti-6-4 ingots show that the plasma torch and the EM stirrer can have strong effects on both the fluid flow and the solidification structure.A comparison with an experimental grain structure of a 5-in diameter Ti-6-4ingot is also provided.     

River Bifurcation Analysis by Physical and Numerical Modeling

In the framework of a river regulation design of the Po River Delta (Northern Italy), a study on a large physical model of the bifurcation Po di Goro-Po di Venezia was conducted with the main objective of determining the discharge subdivision rate at the river node, in order to assess the inflow conditions in the Po di Goro River for flood risk analysis. In this context, a two-dimensional depth averaged numerical model was tested against measured values, with reference to the prototype. In this paper a comprehensive analysis and discussion of the results is reported in order to highlight the applicability of numerical models in comparison with physical ones in river engineering applications.     

Modeling of Multiscale and Multiphase Phenomena in Materials Processing

In order to demonstrate how CFD can help scientists and engineers to better understand the fundamentals of engineering processes, a number of examples are shown and discussed. The paper covers (i) special aspects of continuous casting of steel including turbulence, motion and entrapment of non-metallic inclusions, and impact of soft reduction; (ii) multiple flow phenomena and multiscale aspects during casting of large ingots including flow-induced columnar-to-equiaxed transition and 3D formation of channel segregation; (iii) multiphase magneto-hydrodynamics during electro-slag remelting; and (iv) melt flow and solidification of thin but large centrifugal castings.     

Numerical and Physical Simulation of Tundish Fluid Flow Phenomena

The fluid flow in a continuous casting tundish is numerically and physically simulated by means of water models. Results of residence time distribution (RTD) measurements and laser‐optical measurements (Laser Doppler Anemometry – LDA, Digital Particle Image Velocimetry‐DPIV) are used to validate the numerical results for water before the numerical simulation is transferred to the steel melt. The investigations are focused on both steady‐state and transient casting conditions. To reduce vortexing and turbulence in the tundish different types of turbo‐stoppers are installed in the water models and their influence on the spacious flow structure is discussed. The turbo‐stopper produces higher turbulence in the inlet region of the tundish, but this region is spatially more limited in relation to the flow without turbo‐stopper. Thereby a more homogeneous flow is created at the outlet of the tundish with better conditions for particle separation. Basic design criteria for the geometry of a turbo‐stopper are developed. Moreover, the processes of first tundish filling and ladle change are simulated at a downscaled water model and these results are compared with numerical simulations using a Volume of Fluid (VoF) model. This multiphase model is able to reproduce the motion of gas bubbles and waves at the free surface.     

A Numerical Simulation of Transport Phenomena During the Horizontal Single Belt Casting Process Using an Inclined Feeding System

Horizontal single belt casting (HSBC) has great potential to replace current conventional continuous casting (CCC) processes for sheet metal production, by directly casting 3 to 1 mm sheet for the automobile industry. In the present paper, two-dimensional mathematical models were developed to study transport phenomena, for the case of an inclined wall feeding system for a liquid aluminum wrought alloy (AA6111). Based on the commercial software ANSYS FLUENT 14.5 and user-defined functions, a two-layer turbulence model was used to examine the fluid flow emanating from a slot nozzle set above a water-cooled, high-speed, steel belt. The Volume of Fluid (VOF) method was used to predict the shape of the melt-air interface. A transformed coordinate system (x′, y′) was established in order to analyze the fluid flow on the inclined wall of the feeding system. The total pressure gauge gradient (?p_total/?x) was used to describe the behavior of the melt film inside the slot nozzle of the head box. The modeling results show that during the melt film falling process, the total gauge pressure varies within the slot nozzle, which can decrease the stability of the falling film. The first impingement between the falling film and the inclined refractory wall of the feeding system gives rise to a local oscillation, and this influences the stability of the melt film moving downwards. At the rear meniscus position between the inclined wall and the moving belt, there is a clear vibration of the air-melt interface, together with a recirculation zone. The weak vibration of the air-melt interface could be induced by the periodic variation of the melt-air interface. Moreover, the formation of tiny air pockets is predicted. Finally, on the inclined wall of the feeding system, a suitable length of the transition area is needed to avoid over-acceleration of the melt film due to the force of gravity.     

Recalescence and Segregation Phenomena During Equiaxed Dendritic Solidification of Fe-C Alloy

Metallurgical and Materials Transactions B - Recalescence and segregation are two characteristic phenomena for the equiaxed dendritic solidification of alloys. The present work developed a...     

Recrystallization Phenomena During Friction Stir Processing of Hypereutectic Aluminum-Silicon Alloy

Microstructural evolution and related dynamic recrystallization phenomena were investigated in overlapping multipass friction stir processing (FSP) of hypereutectic Al-30 pct Si alloy. FSP resulted in the elimination of porosities along with the refinement of primary silicon particles and alpha aluminum grains. These alpha aluminum grains predominantly exhibit high angle boundaries with various degrees of recovered substructure and dislocation densities. The substructure and grain formation during FSP take place primarily by annihilation and reorganization of dislocations in the grain interior and at low angle grain boundary. During multipass overlap FSP, small second phase particles were observed to form, which are accountable for pinning the grain boundaries and thus restricting their growth. During the multipass overlap FSP, the microstructure undergoes continuous dynamic recrystallization by formation of the subgrain boundary and subgrain growth to the grain structure comprising of mostly high angle grain boundaries.     

Modeling of Transient Flow Phenomena in Continuous Casting of Steel

Abstract

This paper describes initial efforts to develop and apply 3D finite-difference models to simulate transient flow in the mold. These transient flow phenomena include flow pattern oscillations caused by sudden changes in nozzle inlet conditions and rapid fluctuations in the molten steel/flux interface level at the top surface of the mold. The flow model incorporates interactions with other transport phenomena, including turbulence, superheat removal and argon gas bubble injection. Predictions are shown for the oscillatory evolution of the flow pattern from biased steady flow to symmetrical steady flow after a sudden change in inlet conditions. In addition, the predicted turbulent kinetic energy levels at steady state are shown to correlate with measured surface level fluctuations. The effect of processing conditions are consistent with experimental findings. Without argon, the greatest level fluctuations are found near the narrow face, while increased argon moves the maximum towards the center. Fluctuations decrease with deeper submergence and lower casting speed. These transient phenomena are important because they may lead to defects in the final steel product from entrainment of slag, disruption of solidification at the meniscus and non-uniform heat transfer. © 1998 Canadian Institute of Mining and Metallurgy. Published by Elsevier Science Ltd. All rights reserved.

Résumé

Ce document décrit les éfforts initiaux de déveoppement et d'application de modèles aux différences finies en 3D à la simulation de l'écoulement transitoire dan le moulé. Ces phénoménés d'écoulement transitoiré incluent les oscillations du patron d'écoulement causées par des changements de conditions de la tuyere d'entrée ainsi que les fluctuations rapides du niveau de l'interface acier fondu/écoulement à la face superiéure du moulé. Le modéle d'écoulement incorpore des interactions avec d'autres phénoménés de transport, incluant la turbulénce, l'énlevement de la surchauffé et l'injection de bulle de gas d'argon. On predit l'evolution oscillatoire du patron d'écoulement, allant d'un écoulement permanént biaise à un écoulement permanent symétrique, après un changement soudain des conditions d'entrée. En plus, on montré que les niveaux predits d'energie cinetiqué turbulente en regime permanent sont correles avec les valeurs mesurées de fluctuations du niveau de la surface. L'effet des conditions du traitement est consistant avec les données experimentales. San argon, le niveau le plus élevé de fluctuations se situe prés de la face etroité alors que l'augmentation d'argon deplace le maximum vers le centre. Les fluctuations diminuent avec une immersion plus profonde et une vitesse de moulage plus lente. Ces phénoménés transitoires sont importants parce qu'ils peuvent conduire à des defauts dan le produit final en acier par entrainement de scories, par derangemént de la solidification au menisqué et par transfert de chaleur non uniforme. © 1998 Canadian Institute of Mining and Metallurgy. Published by Elsevier Science Ltd. All rights reserved.     

Multiscale Modeling of Transport Phenomena and Dendritic Growth in Laser Cladding Processes

A multiscale model is developed in this article to investigate the transport phenomena and dendrite growth in the diode-laser-cladding process. A transient model with an improved level-set method is built to simulate the heat/mass transport and the dynamic evolution of the molten pool surface on the macroscale. A novel model integrating the cellular automata (CA) and phase field (PF) methods is used to simulate the dendritic growth of multicomponent alloys in the mushy zone. The multiscale model is validated against the experiments, and the predicted geometry of clad tracks and the predicted dendrite arm spacing of microstructure match reasonably well with the experimental results. The effects of the processing parameters on the track geometry and microstructure are also investigated.     

连铸结晶器内传热状态奇异摄动分析及其数值解法

用奇异摄动方法对连铸结晶器内传热状态进行理论分析,并且结合移动网格法构造了一种奇异摄动数值方法进行了相应的计算.与实验结果比较,两者相符甚好,为结晶过程的分析及参数控制提供了一个理论依据.     

Numerical Modeling of Geofoam Embankments

In 2001, the Utah Department of Transportation completed a 4-year $1.4 billion I-15 reconstruction project in Salt Lake City, Utah. This project included widespread use of expanded polystyrene geofoam as lightweight embankment at important utility crossings and where close proximity to existing buildings necessitated minimizing consolidation settlement. This paper presents construction and long-term monitoring results for some of these embankments with numerical modeling of the field measurements. Fast Lagrangian Analysis of Continua, a finite-difference program, was used to estimate the complex stress distribution and the displacements (i.e., strain) that developed in select geofoam embankments. The writers used a bilinear elastic model to produce reasonable estimates of gap closure, block seating, and the subsequent elastic compression of the geofoam embankment at higher stress levels. Such estimations are important for modeling and designing geofoam embankments and potential connections with other systems. The calculation of the complex stress distribution and displacements that develops in a geofoam embankment has application to settlement, lateral earth pressure against retaining and buried walls, slope stability, and seismic design of geofoam embankments.     

Numerical Modeling of Free Overfall

Free overfall is treated by using two-dimensional steady potential flow theory. Based on the theory of the boundary value problem of analytical function and the substitution of variables we derive the boundary integral equations in the physical plane for solving the free overfall in a rectangular channel. A numerical iterative method has been developed to solve these boundary integral equations. The free water surface profiles, pressure distribution, and the end-depth ratio are calculated for a wide range of bed slopes, bed roughness, and incoming upstream Froude number. The computed results agree well with the available experimental data.     

Grain Selection in Spiral Selectors During Investment Casting of Single-Crystal Components: Part II. Numerical Modeling

In this article, grain selection in spiral selectors during investment casting of single-crystal (SX) components is simulated using a cellular automaton grain structure model (CAFE) within a finite element thermal model (PROCAST). The models were validated against experimental observations and then were applied to model the effect of geometry of the spiral selectors on grain selection through a systematic approach. It was found that the efficiency of the spiral selector is significantly dependent on its geometry; the spiral becomes more efficient in selecting single grain with a smaller wax wire diameter; larger spiral rotation diameter, and smaller take-off angle. Recommendations for optimizing the spiral geometry are provided.     

大钢锭凝固界面换热系数的数值模拟

基于热-黏弹塑性本构方程建立了大钢锭凝固时热-流-力耦合的3D有限元模型,并对8.5t钢锭浇注过程中不同位置处热流密度、气隙宽度和界面换热系数的变化规律进行了模拟分析。结果表明,钢水与钢锭模刚刚接触时的热流密度和换热系数最大,二者随后迅速下降,且角部区域的下降趋势略大于面部。凝固初期时热流密度和换热系数的最大值位置并非位于面部中心,而是在1/4宽度处;由于宽面对钢水静压力的抵抗作用小于窄面,其界面热流密度和换热系数也略大于窄面。凝固中后期时,换热系数的区域差异逐渐趋于不明显。同时,建立了基于凝固时间和界面温度的平均换热系数的反算模型。应用2个模型所求结果计算的钢锭和钢锭模温度变化与实测值及热-流-力耦合模型结果基本一致。进一步研究发现,界面换热系数随温度的变化规律可推广应用到3~30t钢锭的模拟研究中,计算结果与实际更为符合。