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Relativistic two-fluid hydrodynamics with quantized vorticity from the nonlinear Klein-Gordon equation
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作者 Chi Xiong Kerson Huang 《Communications in Theoretical Physics》 2025年第2期159-169,共11页
We consider a relativistic two-fluid model of superfluidity,in which the superfluid is described by an order parameter that is a complex scalar field satisfying the nonlinear Klein-Gordon equation(NLKG).The coupling t... We consider a relativistic two-fluid model of superfluidity,in which the superfluid is described by an order parameter that is a complex scalar field satisfying the nonlinear Klein-Gordon equation(NLKG).The coupling to the normal fluid is introduced via a covariant current-current interaction,which results in the addition of an effective potential,whose imaginary part describes particle transfer between superfluid and normal fluid.Quantized vorticity arises in a class of singular solutions and the related vortex dynamics is incorporated in the modified NLKG,facilitating numerical analysis which is usually very complicated in the phenomenology of vortex filaments.The dual transformation to a string theory description(Kalb-Ramond)of quantum vorticity,the Magnus force,and the mutual friction between quantized vortices and normal fluid are also studied. 展开更多
关键词 relativistic superfluidity nonlinear Klein-Gordon field theory quantized vortices two-fluid model Kalb-Ramond field global string
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Temperature and current sensitivity extraction of optical superconducting transition-edge sensors based on a two-fluid model 被引量:2
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作者 Yue Geng Pei-Zhan Li +5 位作者 Jia-Qiang Zhong Wen Zhang Zheng Wang Wei Miao Yuan Ren Sheng-Cai Shi 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第9期594-598,共5页
Optical superconducting transition-edge sensor(TES)has been widely used in quantum information,biological imaging,and fluorescence microscopy owing to its high quantum efficiency,low dark count,and photon number resol... Optical superconducting transition-edge sensor(TES)has been widely used in quantum information,biological imaging,and fluorescence microscopy owing to its high quantum efficiency,low dark count,and photon number resolving capability.The temperature sensitivity(α_(I))and current sensitivity(β_(I))are important parameters for optical TESs,which are generally extracted from the complex impedance.Here we present a method to extractα_(I)andβ_(I)based on a two-fluid model and compare the calculated current-voltage curves,pulse response,and theoretical energy resolution with the measured ones.This method shows qualitative agreement that is suitable for further optimization of optical TESs. 展开更多
关键词 transition-edge sensor single-photon detector two-fluid model
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An Interacting Two-Fluid Scenario for Quintom Dark Energy 被引量:2
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作者 ZHANG Xin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第4X期762-768,共7页
The Quintom dark energy is a proposal that explains the recent observations that mildly favor the equation of state of dark energy ω crossing -1 near the past. The Quintom model is often constructed by two scalar fie... The Quintom dark energy is a proposal that explains the recent observations that mildly favor the equation of state of dark energy ω crossing -1 near the past. The Quintom model is often constructed by two scalar fields, where one is the quintessence feld and another is the phantom field. The cosmological implication of the coupling of the two fields of the dark energy is out of question worth investigating. However, the consideration of the coupling in the field scenario is somewhat complex thus we propose an interacting two-fluid Quintom scenario for simplicity. The interaction between the two components is parametrized by a constant 71 in this scenario. The cosmological implications of this parametrization are investigated in detail in this paper. Also, a diagnostic for this model is performed by using the statefinder pairs {s, r} and {q, r}. 展开更多
关键词 Quintom dark energy interacting two-fluid scenario statefinder diagnostic
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Study of Argon/Molten Steel Two-Phase Flow in Refining of High Clean Steel Using Two-Fluid Model 被引量:1
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作者 TSUKIHASHI Fumitaka 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2011年第S2期176-181,共6页
RH vacuum degasser is a very important secondary refining device in the production of high quality steels. The flow field of molten steel in RH system plays a significant role in determining productivity of the equipm... RH vacuum degasser is a very important secondary refining device in the production of high quality steels. The flow field of molten steel in RH system plays a significant role in determining productivity of the equipment. The homogeneous model and VOF method were often used to predict the flow field in RH system, but these kinds of models simplified the interaction between gas bubbles and molten steel. In the present work, a numerical model of a whole RH system, including vacuum degasser, immersed legs and ladle,was built based on gas-liquid two-fluid model, and it could be used to analyze the interaction between argon bubbles and molten steel, to understand the effect of the bubble size to the flow field. 展开更多
关键词 RH vacuum degasser gas-liquid two-phase flow two-fluid model interaction
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High-order targeted essentially non-oscillatory scheme for two-fluid plasma model 被引量:1
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作者 Yuhang HOU Ke JIN +1 位作者 Yongliang FENG Xiaojing ZHENG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2023年第6期941-960,共20页
The weakly ionized plasma flows in aerospace are commonly simulated by the single-fluid model,which cannot describe certain nonequilibrium phenomena by finite collisions of particles,decreasing the fidelity of the sol... The weakly ionized plasma flows in aerospace are commonly simulated by the single-fluid model,which cannot describe certain nonequilibrium phenomena by finite collisions of particles,decreasing the fidelity of the solution.Based on an alternative formulation of the targeted essentially non-oscillatory(TENO)scheme,a novel high-order numerical scheme is proposed to simulate the two-fluid plasmas problems.The numerical flux is constructed by the TENO interpolation of the solution and its derivatives,instead of being reconstructed from the physical flux.The present scheme is used to solve the two sets of Euler equations coupled with Maxwell's equations.The numerical methods are verified by several classical plasma problems.The results show that compared with the original TENO scheme,the present scheme can suppress the non-physical oscillations and reduce the numerical dissipation. 展开更多
关键词 PLASMA high-order scheme targeted essentially non-oscillatory(TENO)scheme two-fluid model
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A kind of extended Korteweg-de Vries equation and solitary wave solutions for interfacial waves in a two-fluid system
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作者 杨红丽 宋金宝 +1 位作者 杨联贵 刘永军 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第12期3589-3594,共6页
This paper considers interfacial waves propagating along the interface between a two-dimensional two-fluid with a flat bottom and a rigid upper boundary. There is a light fluid layer overlying a heavier one in the sys... This paper considers interfacial waves propagating along the interface between a two-dimensional two-fluid with a flat bottom and a rigid upper boundary. There is a light fluid layer overlying a heavier one in the system, and a small density difference exists between the two layers. It just focuses on the weakly non-linear small amplitude waves by introducing two small independent parameters: the nonlinearity ratio ε, represented by the ratio of amplitude to depth, and the dispersion ratio μ, represented by the square of the ratio of depth to wave length, which quantify the relative importance of nonlinearity and dispersion. It derives an extended KdV equation of the interfacial waves using the method adopted by Dullin et al in the study of the surface waves when considering the order up to O(μ^2). As expected, the equation derived from the present work includes, as special cases, those obtained by Dullin et al for surface waves when the surface tension is neglected. The equation derived using an alternative method here is the same as the equation presented by Choi and Camassa. Also it solves the equation by borrowing the method presented by Marchant used for surface waves, and obtains its asymptotic solitary wave solutions when the weakly nonlinear and weakly dispersive terms are balanced in the extended KdV equation. 展开更多
关键词 two-fluid system interracial waves extended KdV equation solitary wave solution
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Two-fluid oscillatory flow in a channel
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作者 C.Y.Wang 《Theoretical & Applied Mechanics Letters》 CAS 2011年第3期71-73,共3页
The validity of Navier’s partial slip condition is investigated by studying the oscillatory flow in a coated channel.The two-fluid model is used to solve the unsteady viscous equations exactly.Partial slip is experie... The validity of Navier’s partial slip condition is investigated by studying the oscillatory flow in a coated channel.The two-fluid model is used to solve the unsteady viscous equations exactly.Partial slip is experienced by the core fluid.It is found that Naviers condition does not hold for an unsteady core fluid. 展开更多
关键词 Navier's condition SLIP two-fluid OSCILLATORY
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Screening effect of plasma flow on the resonant magnetic perturbation penetration in tokamaks based on two-fluid model
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作者 汤炜康 栾其斌 +5 位作者 孙宏恩 魏来 路爽爽 姜帅 徐健 王正汹 《Plasma Science and Technology》 SCIE EI CAS CSCD 2023年第4期23-32,共10页
Numerical simulation on the resonant magnetic perturbation penetration is carried out by the newly-updated initial value code MDC(MHD@Dalian Code).Based on a set of two-fluid fourfield equations,the bootstrap current,... Numerical simulation on the resonant magnetic perturbation penetration is carried out by the newly-updated initial value code MDC(MHD@Dalian Code).Based on a set of two-fluid fourfield equations,the bootstrap current,parallel,and perpendicular transport effects are included appropriately.Taking into account the bootstrap current,a mode penetration-like phenomenon is found,which is essentially different from the classical tearing mode model.To reveal the influence of the plasma flow on the mode penetration process,E×B drift flow and diamagnetic drift flow are separately applied to compare their effects.Numerical results show that a sufficiently large diamagnetic drift flow can drive a strong stabilizing effect on the neoclassical tearing mode.Furthermore,an oscillation phenomenon of island width is discovered.By analyzing it in depth,it is found that this oscillation phenomenon is due to the negative feedback regulation of pressure on the magnetic island.This physical mechanism is verified again by key parameter scanning. 展开更多
关键词 TOKAMAK two-fluid NTM
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THE GLOBAL WELL-POSEDNESS OF SOLUTIONS TO COMPRESSIBLE ISENTROPIC TWO-FLUID MAGNETOHYDRODYNAMICS IN A STRIP DOMAIN
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作者 Zefu FENG Jing JIA 《Acta Mathematica Scientia》 SCIE CSCD 2024年第5期1997-2018,共22页
In this paper,we consider a model of compressible isentropic two-fluid magneto-hydrodynamics without resistivity in a strip domain in three dimensional space.By exploiting the two-tier energy method developed in[Anal ... In this paper,we consider a model of compressible isentropic two-fluid magneto-hydrodynamics without resistivity in a strip domain in three dimensional space.By exploiting the two-tier energy method developed in[Anal PDE,2013,6:1429–1533],we prove the global well-posedness of the governing model around a uniform magnetic field which is non-parallel to the horizontal boundary.Moreover,we show that the solution converges to the steady state at an almost exponential rate as time goes to infinity.Compared to the work of Tan and Wang[SIAM J Math Anal,2018,50:1432–1470],we need to overcome the difficulties caused by particles. 展开更多
关键词 two-fluid magnetohydrodynamics global well-posedness compressiblility
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Anisotropic Plane Symmetric Two-Fluid Cosmological Model with Time-Varying G and A
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作者 Verma M. K. Chandel S. Ram Shri 《Chinese Physics Letters》 SCIE CAS CSCD 2015年第12期1-4,共4页
We investigate a two-fluid anisotropic plane symmetric cosmological model with variable gravitational constant G(t) and cosmological term A(t). In the two-fluid model, one fluid is chosen to be that of the radiati... We investigate a two-fluid anisotropic plane symmetric cosmological model with variable gravitational constant G(t) and cosmological term A(t). In the two-fluid model, one fluid is chosen to be that of the radiation field modeling the cosmic microwave background and the other one a perfect fluid modeling the material content of the universe. Exact solutions of the field equations are obtained by using a special form for the average scale factor which corresponds to a specific time-varying deceleration parameter. The model obtained presents a cosmological scenario which describes an early acceleration and late-time deceleration. The gravitation constant increases with the cosmic time whereas the cosmological term decreases and asymptotically tends to zero. The physical and kinematical behaviors of the associated fluid parameters are discussed. 展开更多
关键词 Anisotropic Plane Symmetric two-fluid Cosmological Model with Time-Varying G and A FRW
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Numerical Simulation of Countercurrent Flow in a PWR Hot Leg by Using Two-Fluid Model
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作者 Michio Murase Yoichi Utanohara +3 位作者 Chihiro Yanagi Takashi Takata Akira Yamaguchi Akio Tomiyama 《Journal of Energy and Power Engineering》 2013年第7期1215-1222,共8页
In order to evaluate CCFL (countercurrent flow limitation) characteristics in a PWR (pressurized water reactor) hot leg under reflux condensation, numerical simulations have been conducted using a 2F (two-fluid)... In order to evaluate CCFL (countercurrent flow limitation) characteristics in a PWR (pressurized water reactor) hot leg under reflux condensation, numerical simulations have been conducted using a 2F (two-fluid) model and a VOF (volume of fluid) method implemented in the CFD (computational fluid dynamics) software, FLUENT6.3.26. The 2F model gave good agreement with CCFL data in low pressure conditions but did not give good results for high pressure steam-water conditions. In the previous study, the computational grid and schemes were improved in the VOF method to improve calculations in circular tubes, and the calculated CCFL characteristics agreed well with the UPTF (Upper Plenum Test Facility) data at 1.5 MPa. In this study, therefore, using the 2F model and the computational grid previously improved for the VOF calculations, numerical simulations were conducted for steam-water flows at 1.5 MPa under PWR full-scale conditions. In the range of medium gas volumetric fluxes, the calculated CCFL characteristics agreed well with the values calculated by the VOF method and the UPTF data at 1.5 MPa. This indicated that the reference set of the interfacial drag correlations employed in this study could be applied not only to low pressures but also to high pressures. 展开更多
关键词 Reflux condensation PWR hot leg countercurrent flow numerical simulation two-fluid model.
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Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system 被引量:1
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作者 YANG Hongli YANG Liangui +1 位作者 SONG Jinbao Hou Yijun 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2009年第4期118-124,共7页
Interracial waves propagating along the interface between a three-dimensional two-fluid system with a rigid upper boundary and an uneven bottom are considered. There is a light fluid layer overlying a heavier one in t... Interracial waves propagating along the interface between a three-dimensional two-fluid system with a rigid upper boundary and an uneven bottom are considered. There is a light fluid layer overlying a heavier one in the system, and a small density difference exists between the two layers. A set of higher-order Boussinesq-type equations in terms of the depth-averaged velocities accounting for stronger nonlinearity are derived. When the small parameter measuring frequency dispersion keeping up to lower-order and full nonlinearity are considered, the equations include the Choi and Camassa's results (1999). The enhanced equations in terms of the depth-averaged velocities are obtained by applying the enhancement technique introduced by Madsen et al. (1991) and Schaffer and Madsen (1995a). It is noted that the equations derived from the present study include, as special cases, those obtained by Madsen and Schaffer (1998). By comparison with the dispersion relation of the linear Stokes waves, we found that the dispersion relation is more improved than Choi and Camassa's (1999) results, and the applicable scope of water depth is deeper. 展开更多
关键词 two-layer fluid interracial waves Boussinesq-type equations enhanced equations fully nonlinear
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Global Well-Posedness and Large-Time Behavior to the 3D Two-Fluid Model with Degenerate Viscosities
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作者 Hongxia Ji Wenjing Song 《Journal of Applied Mathematics and Physics》 2025年第1期230-255,共26页
In the paper, we study a compressible two-fluid model in ℝ3, where γ±>1. The pressure of the two fluids is equal. Different from previous research, we consider that viscosity coefficient both μand λare func... In the paper, we study a compressible two-fluid model in ℝ3, where γ±>1. The pressure of the two fluids is equal. Different from previous research, we consider that viscosity coefficient both μand λare functions of density. The global well-posedness of the three-dimensional compressible two-phase flow model is an open problem due to its dissipative, nonlinear structure. In the paper, setting m±=M±and Z=P−P¯, by exploiting the dissipation structure, we obtain energy estimates for (Z,w,n)and its derivatives, then we obtain the time decay rates for (Z,w,n). So we derive global well-posedness and large time behavior to the three dimensional compressible two-fluid model. 展开更多
关键词 two-fluid Model Degenerate Viscosities Large-Time Behavior Global Well-Posedness
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Two-fluid modeling of Geldart A particles in gas-fluidized beds 被引量:17
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作者 M.A. van der Hoef J.A.M. Kuipers 《Particuology》 SCIE EI CAS CSCD 2008年第6期540-548,共9页
We have investigated the effect of cohesion and drag models on the bed hydrodynamics of Geldart A particles based on the two-fluid (TF) model. For a high gas velocity U0 = 0.03 m/s, we found a transition from the ho... We have investigated the effect of cohesion and drag models on the bed hydrodynamics of Geldart A particles based on the two-fluid (TF) model. For a high gas velocity U0 = 0.03 m/s, we found a transition from the homogeneous fluidization to bubbling fluidization with an increase of the coefficient C1, which is used to account for the contribution of cohesion to the excess compressibility. Thus cohesion can play a role in the bed expansion of Geldart A particles. Apart from cohesion, we have also investigated the influence of the drag models. When using the Wen and Yu drag correlation with an exponent n = 4.65, we find an under-prediction of the bed expansion at low gas velocities (U0 = 0.009 m/s). When using a larger exponent (n = 9.6), as reported in experimental studies of gas-fluidization, a much better agreement with the experimental bed expansion is obtained. These findings suggest that at low gas velocity, a scale-down of the commonly used drag model is required. On the other hand, a scale-up of the commonly used drag model is necessary at high gas velocity (U0 = 0.2 and 0.06 m/s). We therefore conclude that scaling the drag force represent only an ad hoc way of repairing the deficiencies of the TF model, and that a far more detailed study is required into the origin of the failure of the TF model for simulating fluidized beds of fine powders. 展开更多
关键词 Gas-fluidized bed Geldart A particles two-fluid model Cohesive force Drag correlation
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Two-fluid modeling of Geldart A particles in gas-solid micro-fluidized beds 被引量:10
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作者 Xiaoxing Liu Chuanqiang Zhu +3 位作者 Shujun Geng Meiqin Yao Jinhui Zhan Guangwen Xu 《Particuology》 SCIE EI CAS CSCD 2015年第4期118-127,共10页
The fiuidization behavior of Geldart A particles in a gas-solid micro-fluidized bed was investigated by Eulerian-Eulerian numerical simulation. The commonly used Gidaspow drag model was tested first. The simulation sh... The fiuidization behavior of Geldart A particles in a gas-solid micro-fluidized bed was investigated by Eulerian-Eulerian numerical simulation. The commonly used Gidaspow drag model was tested first. The simulation showed that the predicted minimum bubbling velocities were significantly lower than the experimental data even when an extremely fine grid size (of approximately one particle diameter) was used. The modified Gibilaro drag model was therefore tested next. The predicted minimum bubbling velocity and bed voidage were in reasonable agreement with the experimental data available in literature. The experimentally observed regime transition phenomena from bubbling to slugging were also reproduced successfully in the simulations. Parametric studies indicated that the solid-wall boundary conditions had a significant impact on the predicted gas and solid flow behavior. 展开更多
关键词 Micro-fluidized bed Geldart A particle two-fluid model Boundary condition Drag model
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NUMERICAL EVALUATION OF TWO-FLUID MIXING IN A SWIRL MICRO-MIXER 被引量:3
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作者 JIN Si-yu LIU Ying-zheng +2 位作者 WANG Wei-zhe CAO Zhao-min KOYAMA Hide S. 《Journal of Hydrodynamics》 SCIE EI CSCD 2006年第5期542-546,共5页
A collaborative investigation of two-fluid mixing in a swirl micro-mixer was carried out by the Shanghai Jiao Tong University and the Tokyo Denki University. Pure water and a mixture of glycerol and water were separat... A collaborative investigation of two-fluid mixing in a swirl micro-mixer was carried out by the Shanghai Jiao Tong University and the Tokyo Denki University. Pure water and a mixture of glycerol and water were separately injected into branch channels and they were subsequently mixed in the central chamber. The two-fluid flow pattern was numerically modeled, in which the dependence of the mixture viscosity and density on the mass fraction of glycerol in the mixing fluid was carefully taken into consideration. The mixing performance of the two fluids was evaluated by varying the Reynolds numbers and the mass fractions of glycerol in water. The mixing process was extensively analyzed using streamline maps and contour plotting distributions of pressure and glycerol concentration. The numerical results show that the acceptable uniformity of mixing at Re = 0.1 is primarily attributed to the time-consuming molecular diffusion, whereas the cost-effective mixing at Re 〉 500 was obtained because of the generation of the swirling flow. The increasing mass fraction of glycerol in water was found to attenuate the mixing performance. The preliminary microscopic visualization of the two-fluid mixing at Re=1300 demonstrated the consistence with the numerical results. 展开更多
关键词 two-fluid mixing micro-mixer numerical simulation
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Coating of finely dispersed particles by two-fluid nozzle 被引量:2
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作者 N. Hampel E. Roydeva +1 位作者 A. Buck E. Tsotsas 《Particuology》 SCIE EI CAS CSCD 2018年第3期80-93,共14页
Particle coatings are used extensively to generate dispersed solids with well-defined properties, e.g., to protect active ingredients, with most coating processes using core particles of a diameter larger than 200 μm... Particle coatings are used extensively to generate dispersed solids with well-defined properties, e.g., to protect active ingredients, with most coating processes using core particles of a diameter larger than 200 μm. This work contributes to the development of a coating process for fine dispersed particles (diam- eter less than 50 μm) by combining two particle-formulation processes, namely, coating and spray drying. The feasibility of the operation is based on and demonstrated by the innovative application of a two-fluid nozzle. Experiments were conducted by using glass particles as core particles and sodium benzoate as the coating agent. The coating of finely dispersed particles is achieved by the spraying of particles and coating solution as a homogeneous suspension. The aim is to create droplets with only one contained particle at the nozzle outlet. After evaporation of the water in the droplet, a thin solid film is built on the particle surface. The suspension viscosity was measured and compared with empirical equations from the literature. The liquid-film thickness on the particle surface was calculated to predict the building of a uniform coating layer or agglomerates. In this study, the feasibility of pneumatic transport through the nozzle and an investigation of the process were illustrated. The agglomeration fraction and degree of coating of the particle surface were analyzed optically by scanning electron microscopy. In this way, the influence of different processes and suspension parameters on the product quality were determined. 展开更多
关键词 COATING Spray drying Fine dispersed particle two-fluid nozzle
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Validation of an improved two-fluid model with particle rotation for gas-solid fluidized bed 被引量:2
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作者 Lian Wang Xihua Chu 《Particuology》 SCIE EI CAS CSCD 2023年第10期149-161,共13页
Gas-solid fluidized beds are widely applied in chemical and process engineering.It is of significance to establish a reasonable and effective mathematical model to explore the hydrodynamics of gas-particle system for ... Gas-solid fluidized beds are widely applied in chemical and process engineering.It is of significance to establish a reasonable and effective mathematical model to explore the hydrodynamics of gas-particle system for industrial applications.As a less computationally demanding alternative to the discrete descriptions,two-fluid model considering kinetic theory of granular flow is often adopted to describe the fluidized behaviors of particles,but it cannot characterize the rotation of particles and its influence on the fluidized behaviors.In this study,to address the rotation effect of the fluidized particles,a two-fluid model combining the classical fluid and micropolar fluid is established,namely CMTFM.In the CMTFM,classical fluid is used to describe the motion of gas phase,while micropolar fluid is adopted to describe the motion of particle phase,and the rotation of particles and its influence on the hydrodynamics of the gas-particle system are characterized by the degree of freedom of microrotation and the improved drag force based on micropolar viscosities.In the calculation of the gas-solid bubbling fluidized bed,we investigated the influence of the microstructure parameters,particle-particle collision restitution coefficient and inlet velocity,and the results are compared to those from TFM model and experiments.Through the analysis,it manifests that pressure drop and expansion height of the fluidized bed under the consideration of the microrotation effect are closer to the experiments,which demonstrates the feasibility and advantage of the classical-micropolar two-fluid model. 展开更多
关键词 Gas-solid fluidized bed two-fluid model Micropolar fluid Microstructure parameter Fluidized behaviors
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Stability of the rarefaction wave for a two-fluid plasma model with diffusion 被引量:2
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作者 DUAN RenJun LIU ShuangQian +1 位作者 YIN HaiYan ZHU ChangJiang 《Science China Mathematics》 SCIE CSCD 2016年第1期67-84,共18页
We study the large-time asymptotics of solutions toward the weak rarefaction wave of the quasineutral Euler system for a two-fluid plasma model in the presence of diffusions of velocity and temperature under small per... We study the large-time asymptotics of solutions toward the weak rarefaction wave of the quasineutral Euler system for a two-fluid plasma model in the presence of diffusions of velocity and temperature under small perturbations of initial data and also under an extra assumption θ_i,+/θ_e,+=θ_i,-/θ_e,-≥m_i/2m_e,namely, the ratio of the thermal speeds of ions and electrons at both far fields is not less than one half. Meanwhile,we obtain the global existence of solutions based on energy method. 展开更多
关键词 two-fluid plasma model rarefaction wave STABILITY
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Particle mixing rates using the two-fluid model 被引量:1
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作者 M. Banaei N.G. Deen +1 位作者 M. van Sint Annaland J.A.M. Kuipers 《Particuology》 SCIE EI CAS CSCD 2018年第1期13-26,共14页
In this work, a new methodology is introduced to calculate the solids mixing rate in dense gas-fluidized beds using the two-fluid model. The implementation of this methodology into an existing two-fluid model code was... In this work, a new methodology is introduced to calculate the solids mixing rate in dense gas-fluidized beds using the two-fluid model. The implementation of this methodology into an existing two-fluid model code was carefully verified. The solids phase continuity equation was satisfied using our method, and the sensitivity of the computational results to the time step, computational cell size, and discretization scheme was investigated to determine the optimal simulation settings. Using these simulation settings, the degree of solids mixing was observed to rapidly (exponentially) increase with increasing operating pressure and linearly decrease with increasing bed diameter. Our novel methodology can be applied to analyze mixing processes in large lab-scale beds as an alternative to existing time-consuming simulation techniques such as computational fluid dynamics combined with the discrete element model. 展开更多
关键词 Gas-solid fluidized bed SIMULATION two-fluid model Solids mixing PRESSURE Scale up
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