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An inverse analysis of fluid flow through granular media using differentiable lattice Boltzmann method

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Journal of Rock Mechanics and Geotechnical Engineering 2024年第6期16卷 2077-2090页

作者： Qiuyu Wang Krishna Kumar Department of Civil Architectural and Environmental EngineeringUniversity of Texas at AustinAustin78712-2100USA

This study presents a method for the inverse analysis of fluid flow *** focus is put on accurately determining boundary conditions and characterizing the physical properties of granular media,such as permeability,and fluid components,like *** primary aim is to deduce either constant pressure head or pressure profiles,given the known velocity field at a steady-state flow through a conduit containing obstacles,including walls,spheres,and *** lattice Boltzmann method(LBM)combined with automatic differentiation(AD)(AD-LBM)is employed,with the help of the GPU-capable Taichi programming language.A lightweight tape is used to generate gradients for the entire LBM simulation,enabling end-to-end *** AD-LBM approach accurately estimates the boundary conditions for complex flow paths in porous media,leading to observed steady-state velocity fields and deriving macro-scale permeability and fluid *** method demonstrates significant advantages in terms of prediction accuracy and computational efficiency,making it a powerful tool for solving inverse fluid flow problems in various applications.

关键词： Inverse problem fluid flow Granular media Automatic differentiation(AD) Lattice Boltzmann method(LBM)

Numerical simulation of fluid flow and free surface fluctuations during wheel and belt casting process

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Journal of Iron and Steel Research International 2024年第5期31卷 1117-1126页

作者： Kun Gao Yan Peng National Engineering Research Center for Equipment and Technology of Cold Strip Rolling Yanshan UniversityQinhuangdao066004HebeiChina

The unstable fluid flow and severe free surface fluctuations in the wheel and belt caster can affect the quality of the cast *** lower level height tends to entrap inclusions in the molten *** the other hand,the higher level height makes the production process more dangerous due to the overflow of high temperature fluid from the mold.A computational model of the molten metal pouring process was *** transient fluid flow and free surface fluctuations behavior were calculated using the three-dimensional large eddy simulation model and the volume of fluid *** results show that the flow velocity of the main jet gradually decreases under the influence of the low kinetic energy fluid in the *** is an obvious oscillation in the tail of the jet,while the flow field is asymmetric in *** jet is closer to the inside radius side due to the Coanda effect,and there is a recirculation zone on the inside radius and the outside radius respectively,according to the 10 s time-averaged *** with the industrial observation and simulation results,the shape of the free surface is a wave that varies with *** addition,the free surface height is lowest and the flow velocity is highest in the region near the jet.

关键词： fluid flow Free surface Wheel and belt caster Large eddy simulation Volume of fluid method

Effect of nozzle type on fluid flow, solidification, and solute transport in mold with mold electromagnetic stirring

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Journal of Iron and Steel Research International 2022年第2期29卷 237-246页

作者： Ya-dong Wang Li-feng Zhang Wen Yang Ying Ren School of Metallurgical and Ecological Engineering University of Science and Technology Beijing(USTB)Beijing100083China State Key Lab of Metastable Materials Science and Technology School of Mechanical EngineeringYanshan UniversityQinhuangdao066004HebeiChina

The mathematical model of coupling fluid flow,heat transfer,solidification,solute transport,and the electromagnetic field of the bloom in the upper part of the strand was established with three nozzle ***,the flow field,distribution of the temperature,solidification,and macrosegregation of carbon were investigated and compared by numerical *** the case of the straight submerged entry nozzle(SEN),the molten steel flows down deep into the liquid pool,and the depth of the jet flow reaches about 1.0 m beneath the *** jetting zone is the high-temperature *** the case of two-port SEN and four-port SEN,the flow patterns and distribution of temperature in the central longitudinal section are *** jet flow impinges directly on the initially solidified shell and then it is divided into two longitudinal *** heat of molten steel is dissipated along with the longitudinal *** negative segregation band was generated near the bloom surface due to the washing effect by the rotating flow at the solidification front with three nozzle *** negative segregation deteriorates gradually with the number of ports decreasing.

关键词： Submerged entry nozzle fluid flow Solidification Solute transport Mold electromagnetic stirring

Numerical simulation on fluid flow behavior during 3-dimensional dendrite growth with random preference angle

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China Foundry 2022年第5期19卷 387-394页

作者： Qi Wang Ke-jie Feng Shi-jie Zhang Chen-yu Li Ri Li School of Materials Science and Engineering Hebei University of TechnologyTianjin 300401China

The flow behavior of three-dimensional(3D)dendrite growth with random preferred angle under natural convection was studied by using the Lattice Boltzmann-Cellular Automata(LB-CA)method with dynamic and static *** this model,the temperature field,flow field and solute field calculated by Lattice Boltzmann method(LBM)and dendrite growth calculated by CA method were carried out in static and dynamic grids respectively,and the coupling between LBM and CA was performed by interpolation of calculation parameters between dynamic and static *** show that the asymmetry of solid phase distribution makes the streamline distribution more *** the initial stage of multiple dendrites growth,the fluid flow is relatively *** dendrites grow close to each other,the fluid flow is blocked and can only flow along the gap between *** the wall equiaxed-columnar-central equiaxed crystals transformation(ECET)process,dense eddy current is formed at the wall equiaxed crystals at ***,when the wall equiaxed crystals gradually develop into columnar crystals,the eddy current moves with the solid-liquid *** the central equiaxed crystals are formed,the eddy current at the front of the columnar crystals gradually *** eddies appear as the central equiaxed crystal grows.

关键词： two sets of grids randomly select preference angle three dimensional LB-CA model fluid flow

fluid flow Behavior of Liquid in Cylindrical Vessels Stirred by One or Two Air Jets

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International Journal of Minerals,Metallurgy and Materials 2000年第3期14卷 170-177页

作者： Lifeng Zhang, Shoji Taniguchi, Kaike Cai, Ying Qu ( Department of Metallurgy Graduate School of Engineering, Tohoku University, Sendai 980-579 Japan Metallurgy School, University of Science and Technology Beijing, Beijing 100083, China) Department of Metallurgy Graduate School of Engineering Tohoku University Sendai 980-8579 Japan Metallurgy School University of Science and Technology Beijing Beijing 100083 China

Based on the two-phase model (Eulerian-Eulerian model), the three dimensional fluid flow in water and that liquid steel systems stirred by one or two multiple gas jets are simulated. In the Eulerian-Eulerian two-phase model, the gas and the liquid phase are considered to be two different continuous fluids interacting with each other through the finite inter-phase areas. The exchange between the phases is represented by source terms in conversation equations. Turbulence is assumed to be a property of the liquid phase. A new turbulence modification - model is introduced to consider the bubbles movement contribution to and . The dispersion of phases due to turbulence is represented by introducing a diffusion term in mass conservation equation. The mathematical simulation agrees well with the experiment results. The study results indicate that the distance of two nozzles has big effect on fluid flow behavior in the vessel. Using two gas injection nozzles at the half radii of one diameter of the bottom generates a much better mixing than with one nozzle under the condition of the same total gas flow rate.

关键词： fluid flow two-phase Eulerian-Eulerian model model mathematical simulation

fluid flow in Tundish Due to Different Type Arrangement of Weir and Dam

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Journal of University of Science and Technology Beijing 2002年第1期9卷 13-15页

作者： Yanping Bao, Wei Jiang,Baomei Xu, Haizhong Zhang Metallurgy School, University of Science and Technology Beijing, Beijing 100083, China E-mail: baoyp@metall .ustb .edu. cn Metall. Sch. Univ. of Sci. and Technol. Beijing Beijing 100083 China

Tundish is an important metallurgical reactor in the continuous castingprocess. In order to control the fluid flow in tundish and thus take full advantage of the residencetime available for the removal of inclusions from molten steel, the effect of weir and dam on thefluid flow has been studied in a water model based on the characteristic number Froude and Reynoldnumber similarity criteria. The residence time distribution curves of the flow were measured bySG800. The optimum arrangement of darn and weir and the nonstationary flow in tundish werediscussed. The results show that the combination of weir and dam is benefit for the flow pattern intundish, weir can prevent the upper recirculating flow, dam can cut off the bottom flow and turn toupwards, it is advantageous to separate the nonmetallic inclusions. Furthermore, it is important toexceed the critical depth of bath during exchange ladles, not only for the inclusion floatation butalso for avoiding tundish slag drainage earlier.

关键词： tundish fluid flow weir and dam water model

fluid flow in large-capacity horizontal continuous casting tundishes

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International Journal of Minerals,Metallurgy and Materials 2010年第3期17卷 262-266页

作者： Shu-feng Yang Jing-she Li Jing Jiang Xiao-chuan Lin Lin Lin School of Metallurgical and Ecological Engineering University of Science and Technology Beijing Beijing 100083 China

The configuration of the tundish for a two-strand horizontal continuous caster was designed and optimized through water modeling. Three designs of the tundish were studied： the original tundish without any flow control devices, the tundish with a turbulence inhibitor at the bottom, and the tundish with an inlet launder and an inclined dam. The residence time, the location and size of the dead zone, and the fluid field pattern were investigated. At the same time, the asymmetry flow field and wavy inlet jet in the horizontal tundish were observed and the reasons for them were discussed. The results indicate that the mndish with an inlet launder and an inclined dam is the best of the three designs.

关键词： continuous casting fluid flow tundish water modeling

fluid flow Modeling of Arc Plasma and Bath Circulation in DC Electric Arc Furnace

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Journal of Iron and Steel Research International 2006年第5期13卷 7-13页

作者： WANG Feng-hua JIN Zhi-jian ZHU Zi-shu School of Electronic Information and Electrical Engineering Shanghai Jiao Tong University Shanghai 200030 China

A mathematical model describing the flow field, heat transfer and the electromagnetic phenomenon in a DC electric arc furnace has been developed. First the governing equations in the arc plasma region are solved and the calculated results of heat transfer, current density and shear stresses on the anode surface are used as boundary conditions in a model of molten bath. Then a two-dimensional time-dependent model is used to describe the flow field and electromagnetic phenomenon in the molten bath. Moreover, the effect of bottom electrode diameter on the circulation of molten bath is studied.

关键词： DC electric arc furnace fluid flow heat transfer molten bath

fluid flow and Interfacial Phenomenon of Slag and Metal in Continuous Casting Tundish With Argon Blowing

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Journal of Iron and Steel Research International 2008年第4期15卷 26-31页

作者： WANG Jun ZHU Miao-yong ZHOU Hai-bing WANG Ying School of Materials and Metallurgy Northeastern University Shenyang 110004 Liaoning China

The fluid flow and the interfacial phenomenon of slag and metal in tundish with gas blowing were studied with mathematical and physical modeling, and the effects of gas flowrate, the placement of porous beam for the generation of bubbles, and the combination of flow control devices on the flow and slag-metal interface were investigated. The results show that the position of gas bubbling has a significant effect on the flow in tundish, and the placement of porous beam and gas flowrate are the two main factors affecting the entrapment of slag in tundish. The closer the porous beam to the weir, the more reasonable is the flow, which is in favor of the control of slag entrapment in tundish.

关键词： continuous casting tundish argon blowing fluid flow interfacial phenomenon slag metal slag entrapment mathematical modeling physical modeling