THE GLOBAL WELL-POSEDNESS OF SOLUTIONS TO COMPRESSIBLE ISENTROPIC TWO-FLUID MAGNETOHYDRODYNAMICS IN A STRIP DOMAIN

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.

High-order targeted essentially non-oscillatory scheme for two-fluid plasma model

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.

Screening effect of plasma flow on the resonant magnetic perturbation penetration in tokamaks based on two-fluid model

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.

Temperature and current sensitivity extraction of optical superconducting transition-edge sensors based on a two-fluid model

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.

An Interacting Two-Fluid Scenario for Quintom Dark Energy

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}.

A kind of extended Korteweg-de Vries equation and solitary wave solutions for interfacial waves in a two-fluid system

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.

Two-fluid oscillatory flow in a channel

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.

Anisotropic Plane Symmetric Two-Fluid Cosmological Model with Time-Varying G and A

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.

Numerical Simulation of Countercurrent Flow in a PWR Hot Leg by Using Two-Fluid Model

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.

Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system

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.

Validation of an improved two-fluid model with particle rotation for gas-solid fluidized bed

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.

压裂复杂裂缝中支撑剂输送数值模拟研究

在非常规储层水力压裂施工过程中,水力裂缝容易与天然裂缝交汇形成复杂裂缝,支撑剂的运移和铺置形态直接决定了储层的增产效果。为了研究支撑剂在复杂裂缝中的铺置规律,基于欧拉-欧拉方法建立了支撑剂-压裂液两相流数学模型,并利用复杂裂缝室内实验装置与数值模拟的砂堤铺置形态对比的方式进行了模型验证,结果表明,选取的模型可用于研究滑溜水在复杂裂缝内的携带支撑剂的运移铺置规律。以相似准则为基础,建立了简化的复杂裂缝平板模型,并将砂堤形态参数、砂堤面积进行归一化处理,获得了压裂液排量、黏度、支撑剂粒径、裂缝宽度以及裂缝形态对支撑剂在复杂裂缝中铺置的影响规律。结果表明:增大排量、黏度和减小粒径均有利于支撑剂向裂缝深处运移,并且排量对支缝中的砂堤形态影响最明显,但增大排量不利于支撑剂填充近井地带。缝宽的影响体现在壁面效应,在注入时间相同的情况下,当压裂液黏度从1 mPa·s增加到5 mPa·s时,主缝砂堤的归一化长度平均增加了37.9%,归一化高度平均降低了61.4%。裂缝结构越复杂,所有支缝中的支撑剂铺置面积占比越高,分流作用越大。随着复杂裂缝的支缝数量、级数以及支缝延伸长度的增大,支缝中的砂堤高度与长度均有所降低;相对于T1型裂缝,T3和T5型裂缝中的砂堤长度、高度减小最多。

含添加剂双流体细水雾抑制瓦斯爆炸实验研究

针对主要威胁我国煤矿安全生产的瓦斯爆炸和燃烧事故等问题,尤其是在单一煤层综放工作面低位高抽巷内易形成瓦斯积聚,在开采过程中,又会出现顶板矸石垮落、矸石和支护金属材料撞击,很容易导致瓦斯爆炸。本文探究含添加剂双流体细水雾在瓦斯爆炸抑制方面的应用效果。基于搭建的含添加剂双流体细水雾抑制管道瓦斯爆炸实验平台,对比分析了不同惰性气体与细水雾相互作用对瓦斯爆炸的抑制规律和效果,含添加剂的瓦斯抑制机理,并研究了不同添加剂浓度、不同添加剂种类对瓦斯爆炸抑制效果的影响。探究发现细水雾分别与CO_(2)、N_(2)、He和Ar四种惰性气体作用,均对瓦斯爆炸有着协同增益的效果。对比分析了有无添加剂的细水雾对瓦斯爆炸的抑制效果,添加剂的加入明显能够提升抑制效果;添加剂的浓度及添加剂的种类对抑制瓦斯爆炸有一定影响,很大程度地减少了瓦斯爆炸的危害。本文研究为防治煤矿瓦斯爆炸提供了一项具有重要意义的主动抑爆新技术。

Effects of diamagnetic drift on nonlinear interaction between multi-helicity neoclassical tearing modes

A numerical study of the diamagnetic drift effect on the nonlinear interaction between multi-helicity neoclassical tearing modes(NTMs) is carried out using a set of four-field equations including two-fluid effects.The results show that,in contrast to the single-fluid case,5/3 NTM cannot be completely suppressed by 3/2 NTM with diamagnetic drift flow.Both modes exhibit oscillation and coexist in the saturated phase.To better understand the effect of the diamagnetic drift flow on multiple-helicity NTMs,the influence of typical relevant parameters is investigated.It is found that the average saturated magnetic island width increases with increasing bootstrap current fraction f_(b) but decreases with the ion skin depth δ.In addition,as the ratio of parallel to perpendicular transport coefficients χ_(‖)/χ_(⊥) increases,the average saturated magnetic island widths of the 3/2 and 5/3 NTMs increase.The underlying mechanisms behind these observations are discussed in detail.

烧结矿双级冷却工艺及装备技术研发与应用

烧结行业实践应用的余热回收方式主要是环冷机+余热锅炉与竖式冷却+余热锅炉,而将原烧结给料溜槽改为一级竖式冷却的双级冷却技术,可显著回收高品质余热。本文在介绍烧结双级冷却技术工艺及原理基础上,通过FLUENT流体仿真,对比了烧结双级冷却相对传统环冷机流场和温度场分布,并从冷却提效、余热回收增量、烧结矿增产和除尘增效4方面系统阐述了烧结双级冷却技术效果优势。结果表明,该技术可降低环冷机冷却风量约13%,提高过热蒸汽50℃,降低返矿率1%。该技术在湘潭钢铁新一烧360 m^(2)烧结机成功应用也表明,余热锅炉蒸汽产量可由吨矿约34 t/h增长到约40 t/h,增加发电量约为1200 kW·h年经济效益约为400万元。

双流体细水雾流体压力对细水雾粒径影响规律

针对双流体雾化方式产生的细水雾,研究了低压状态下双流体产生的细水雾雾滴粒径分布,实验中测量不同流体压力下的细水雾雾滴粒径,结果表明:双流体细水雾可以替代高压状态下实现雾滴粒径小于200μm的1级细水雾的效果。在改变双流体压力过程中,当气压一定,液体压力逐渐减小时,细水雾雾滴粒径出现逐渐增大趋势;当液体压力不变,气体压力逐渐增大时,细水雾雾滴粒径逐渐减小。

径向油孔结构对环下润滑高速轴承内部流动特性的影响研究

为了研究径向油孔结构对环下润滑高速轴承内部流动特性的影响规律,根据高速轴承内部流动特征建立了数值计算方法,针对包含输油通道、径向油孔和轴承组件的物理仿真模型开展了油气两相流动计算,对比并讨论了不同径向油孔结构下轴承内部的油气分布和黏性摩擦损失。数值模拟结果表明,径向油孔孔径增大后轴承内部的平均滑油体积分数单调增加且滑油分布更均匀。径向油孔布设在周向油槽的同侧有利于提升轴承内部的平均滑油体积分数,同时滑油沿周向分布的均匀性较好。轴承组件表面扩展参数受径向油孔结构的影响,其变化趋势与平均滑油体积分数的变化相似。全部采用经验公式预测得到的黏性摩擦损失整体偏高,且不能反映径向油孔结构参数的影响,数值模拟和经验公式相结合计算得到的黏性摩擦损失与直接采用数值模拟获得的结果表现出较好的一致性。

声共振混合器高黏度流体混合的功耗特性研究

声共振混合利用机械共振产生高加速度振动,从而促进流体流动,其功耗特性对于其设计及应用具有重要作用。为研究声共振混合器的功耗特性,基于CFD建立了声共振混合过程仿真模型,分析了高黏度流体声共振混合过程壁面对物料的作用力和做功功率,探究了黏度和振动参数改变对混合器功耗特性的影响,并建立了声共振混合器混合功率的预测函数。研究结果表明,在混合过程中,壁面对液相做功的瞬时功率呈现先减少后稳定波动的趋势,而有效功率呈现先增加后稳定波动的趋势,这种不同的变化趋势是由于两者的相位差发生变化所导致的。增加振幅、频率或等加速度下低频大振幅都能够增加瞬时功率和有效功率,并减少液相进入稳定流动阶段所需吸收的外界能量。

堵塞工况下水力旋流器流场特性及性能分析

为研究水力旋流器在井下出现堵塞问题而产生的流场及性能变化规律,以井下倒锥式水力旋流器为研究对象,采用数值模拟与实验相结合的研究方法,对旋流器在六种不同堵塞工况下的流场特性及分离性能进行深入分析,并提出一种流场不对称性的定量表征方法,明确其在不同堵塞工况下旋流场变化及平均偏移不对称情况。结果表明,在三条紧邻流道堵塞的工况中,切向速度及轴向速度的平均偏移不对称率均产生最大值分别为67.82%和34.99%;相对于无堵塞工况,六种不同堵塞工况的平均压降均有所上升,分离效率均有所下降,其中工况六在四条紧邻流道堵塞的工况中,平均压降最大,分离效率最小。通过实验开展不同工况下的分离性能分析,实验结果与模拟结果的平均误差为1.22%,呈现出较好的一致性,为本文数值模拟方法的准确性提供了验证。

PEMFC船形堵块阴极流场的性能

建立流体体积(VOF)两相流模型,研究船形堵块流道的排水性能。建立不同开孔率的船形堵块流道三维模型,研究船形堵块及开孔率对质子交换膜燃料电池(PEMFC)性能的影响。船形堵块流道峰值净功率密度相较于传统直流道可提升9.4%,相较于同堵塞率下的梯形堵块流道可提高2.9%,具有较好的强化传质作用。通过提高船形堵块流道的开孔率,PEMFC可以获得更好的性能。在相同开孔率下,船形堵块流道的氧气摩尔浓度较直流道和梯形堵块流道分别提高28.6%和14.0%。结果表明,相较于传统直流道,船形堵块流道可降低排水周期和流道内平均水含量,具有更好的排水性能。