Numerical simulation and analysis of solid-liquid two-phase threedimensional unsteady flow in centrifugal slurry pump

Based on RNG k-ε turbulence model and sliding grid technique, solid-liquid two-phase three-dimensional(3-D) unsteady turbulence of full passage in slurry pump was simulated by means of Fluent software. The effects of unsteady flow characteristics on solid-liquid two-phase flow and pump performance were researched under design condition. The results show that clocking effect has a significant influence on the flow in pump, and the fluctuation of flow velocity and pressure is obvious, particularly near the volute tongue, at the position of small sections of volute and within diffuser. Clocking effect has a more influence on liquid-phase than on solid-phase, and the wake-jet structure of relative velocity of solid-phase is less obvious than liquid-phase near the volute tongue and the impeller passage outlet. The fluctuation of relative velocity of solid-phase flow is 7.6% smaller than liquid-phase flow at the impeller outlet on circular path. Head and radial forces of the impeller are 8.1% and 85.7% of fluctuation, respectively. The results provide a theoretical basis for further research for turbulence, improving efficient, reducing the hydraulic losses and wear. Finally, field tests were carried out to verify the operation and wear of slurry pump.

Computational Analysis of Centrifugal Pump Delivering Solid-liquid Two-phase Flow during Startup Period

The transient behavior of centrifugal pumps during transient operating periods, such as startup and stopping, has drawn more and more attention recently because of urgent needs in engineering. Up to now, almost all the existing studies on this behavior are limited to using water as working fluid. The study on the transient behavior related to solid-liquid two-phase flow has not been seen yet. In order to explore the transient characteristics of a high specific-speed centrifugal pump during startup period delivering the pure water and solid-liquid two-phase flow, the transient flows inside the pump are numerically simulated using the dynamic mesh method. The variable rotational speed and flow rate with time obtained from experiment are best fitted as the function of time, and are written into computational fluid dynamics （CFD） code-FLUENT by using a user defined function. The predicted heads are compared with experimental results when pumping pure water. The results show that the difference in the transient performance during startup period is very obvious between water and solid-liquid two-phase flow during the later stage of startup process. Moreover, the time for the solid-liquid two-phase flow to achieve a stable condition is longer than that for water. The solid-liquid two-phase flow results in a higher impeller shaft power, a larger dynamic reaction force, a more violent fluctuation in pressure and a reduced stable pressure rise comparing with water. The research may be useful to tmderstanding on the transient behavior of a centrifugal pump under a solid-liquid two-phase flow during startup period.

Simulation and Analysis on the Two-Phase Flow Fields in a Rotating-Stream-Tray Absorber by Using Computational Fluid Dynamics

The flow field of gas and liquid in a φ150mm rotating-stream-tray (RST) scrubber is simulated by using computational fluid dynamic (CFD) method. The sismulation is based on the two-equation RNG κ-ε turbulence model, Eulerian multiphase model, and a real-shape 3D model with a huge number of meshes. The simulation results include detailed information about velocity, pressure, volume fraction and so on. Some features of the flow field are obtained: liquid is atomized in a thin annular zone; a high velocity air zone prevents water drops at the bottom from flying towards the wall; the pressure varies sharply at the end of blades and so on. The results will be helpful for structure optimization and engineering design.

Numerical simulation of predicting and reducing solid particle erosion of solid-liquid two-phase flow in a choke

Chokes are one of the most important components of downhole flow-control equipment. The particle erosion mathematical model, which considers particle-particle interaction, was established and used to simulate solid particle movement as well as particle erosion characteristics of the solid-liquid two-phase flow in a choke. The corresponding erosion reduction approach by setting ribs on the inner wall of the choke was advanced. This mathematical model includes three parts： the flow field simulation of the continuous carrier fluid by an Eulerian approach, the particle interaction simulation using the discrete particle hard sphere model by a Lagrangian approach and calculation of erosion rate using semiempirical correlations. The results show that particles accumulated in a narrow region from inlet to outlet of the choke and the dominating factor affecting particle motion is the fluid drag force. As a result, the optimization of rib geometrical parameters indicates that good anti-erosion performance can be achieved by four ribs, each of them with a height （H） of 3 mm and a width （B） of 5 mm equaling the interval between ribs （L）.

Field experiment of rainfall infiltration on a soil slope and simulations based on a water-air two-phase flow model

Rainfall infiltration on a soil slope is usually an unsaturated seepage process that can be described by a water-air two-phase flow model.The effect of pore air pressure on rainfall infiltration has been widely recognized and validated by means of numerical simulations and laboratory experiments.However,whether a slope can actually seal pore air continues to be debated by researchers.In this study,a water-air two-phase flow model is used to simulate the rainfall infiltration process on a soil slope,and a field experiment is conducted to realistically test the sealing conditions of a slope.According to the numerical simulation,the areas of water and air flow in and out on the slope surface are relatively stable and can be classified as the“inhalation zone”and“overflow zone”,respectively.Intermittent rainfall on the soil slope has an amplifying effect on pore air pressure because rainfall intensity is usually at the millimeter level,and it causes pore air pressure to reach the cm level.A field experiment was performed to determine whether a slope can realistically seal pore air and subsequently verify the regularity of rainfall infiltration.Air pressure sensors were buried in the slope to monitor the pore air pressures during the rainfall process.The monitoring results show that the pore air pressure in the slope changed,which indicates that the slope can seal air.Moreover,the amplification effects of intermittent rainfall on pore air pressure were observed for natural rainfall,which agrees well with the numerical simulation results.

THE EFFECTS OF MAGNETIC FIELD ON TWO-PHASE LIQUID METAL FLOW

In this paper,the basic equations of two-phase liquid metal flow in a magnetic field are de- rived,and specifically,two-phase liquid metal MHD flow in a rectangular channel is studied,and the expres- sions of velocity distribution of liquid and gas phases and the ratio K_0 of the pressure drop in two-phase MHD flow to that in single-phase are derived.Results of calculation show that the ratio K_0 is smaller than unity and decreases with increasing void fraction and Hartmann number because the effective electrical conduc- tivity in the two-phase case decreases.

Influence on the Solid−Liquid Two-Phase Flow from Cross-Section Area of Slurry Pumps for Deep-Sea Mining

To explore the mechanism of solid-liquid two-phase flow in deep-sea mining pumps,this paper investigates the influences of the impeller cross-section area on the multi-phase flow in the slurry pump.Experimental and numerical results are presented for two-phase flow in four impellers with different cross-section areas.They show that the degree of vortex strength and the passing capacity of particles increase as the cross-section area of the impeller.In addition,the correlations between the two-phase flow and cross-section area have been revealed by a mathematical model taking the force of the flow field into account.The simulation results confirm the theoretical analysis,while the experimental pump performances validate the numerical calculation.The influence of the cross-section area on two-phase flow and pump performance could provide theoretical support for the design of high-performance deep-sea mining slurry pumps.

Study on the Effect of Solid Particles on Jet Flow and Base Thermal Environment for Solid-Liquid Bundled Rocket

Compared with using liquid rocket engines,there are a lot of high-temperature solid particles in the solid-liquid bundled rocket,which make the rocket base thermal environment worse.In order to study the influence of high-temperature solid particles on the base thermal environment,firstly,the effect of particle diameter on the jet distribution and the thermal environment in a single solid motor jet was analyzed using a numerical simulation method,and the results were compared with those of a ground test.Further,the effects of high-temperature solid particles on the jet and the thermal environment of the solid-liquid bundled rocket were analyzed and compared with flight data.The results show that high-temperature solid particles can increase the jet temperature and reduce the jet velocity.The larger the particle diameter,the greater the impact on the jet core temperature.The role of high-temperature solid particles cannot be ignored in the study of the base thermal environment.

Modeling motion and growth of multiple dendrites during solidification based on vector-valued phase field and two-phase flow models

Movement and growth of dendrites are common phenomena during solidification.To numerically investigate these phenomena,two-phase flow model is employed to formulate the FSI(fluid-structure interaction)problem during dendritic solidification.In this model,solid is assumed to have huge viscosity to maintain its own shape and an exponential expression is constructed to describe variable viscosity across s-l(solid-liquid)interface.With an effective preconditioner for saddle point structure,we build a N-S(Navier-Stokes)solver robust to tremendous viscosity ratio(as large as 10^(10))between solid and liquid.Polycrystalline solidification is computed by vector-valued phase field model,which is computationally convenient to handle contact between dendrites.Locations of dendrites are updated by solving advection equations.Orientation change due to dendrite's rotation has been considered as well.Calculation is accelerated by two-level time stepping scheme,adaptive mesh refinement,and parallel computation.Settlement and growth of a single dendrite and multiple dendrites in Al-Cu alloy were simulated,showing the availability of the provided model to handle anisotropic growth,motion and impingement of dendrites.This study lays foundation to simulate solidification coupled with deformation in the future.

Numerical simulation of a falling droplet surrounding by air under electric field using VOF method:A CFD study

This is a numerical study of a falling droplet surrounding by air under the electric field modeled with finite volume method by means of CFD.The VOF method has been employed to model the two-phase flow of the present study.Various capillary numbers are investigated to analyze the effects of electric field intensity on the falling droplet deformation.Also,the effects of electric potential on the heat transfer coefficient have been examined.The obtained results showed that by applying the electric field at a capillary number of 0.2 the droplet tends to retain its primitive shape as time goes by,with a subtle deformation to an oblate form.Intensifying the electric field to a capillary number of 0.8 droplet deformation is almost insignificantwith time progressing;however,further enhancement in capillary number to 2 causes the droplet to deform as a prolate shape and higher values of this number intensify the prolate form deformation of the droplet and result in pinch-off phenomenon.Ultimately,it is showed that as the electric potential augments the heat transfer coefficient increases in which for electric potential values higher than 2400 V the heat transfer coefficient enhances significantly.

Influences of flow rate and baffle spacing on hydraulic characteristics of a novel baffle dropshaft

Due to limited flow capacity and the instability of the asymmetric structure of traditional baffle dropshafts,a novel baffle dropshaft with a symmetric structure,adopting the construction shield well directly,is proposed for large-range flow discharge in deep tunnel drainage systems.In this study,a two-phase flow field of the novel baffle dropshaft with three different baffle spacings was simulated at seven different flow rates with a three-dimensional(3D)numerical model verified with experiments,to study hydraulic characteristics of this novel baffle dropshaft.The results show that the novel baffle dropshaft has a remarkable energy dissipation effect.Baffle spacing of the novel baffle dropshaft has a greater effect on flow patterns and baffle pressure distributions than the comprehensive energy dissipation rate.Flow rate is a critical issue for the selection of baffle spacing in the design.Some guidance on baffle spacing selection and structure optimization for the application of this novel baffle dropshaft in deep tunnel drainage systems is proposed.

Effects of Particle Concentration on the Dynamics of a Single-Channel Sewage Pump under Low-Flow-Rate Conditions

Single-channel sewage pumps are generally used to transport solid-liquid two-phase media consisting of a fluid and solid particles due to the good non-clogging property of such devices.However,the non-axisymmetric structure of the impeller of this type of pumps generally induces flow asymmetry,oscillatory outflow during operations,and hydraulic imbalance.In severe cases,these effects can jeopardize the safety and stability of the overall pump.In the present study,such a problem is investigated in the framework of a Mixture multiphase flow method coupled with a RNG turbulence model used to determine the structure of the flow field and the related motion of transported particles.It is shown that under different inlet particle concentrations,the flow field in the pump exhibits periodic variations of the pressure.The volume fraction of solid particles at the trailing edge of the suction surface of the blade is the largest,and solid particles tend to be concentrated at the outer edge of the pump body.With a rise in import particle content,the pressure and volume fraction of particles in the sewage pump also increase;for a fixed inlet particle concentration,the pressure pulsation amplitude increases with an increase in the flow rate.In addition,under small flow conditions,as the inlet particle concentration increases,the flow field leaving the sewage pump diaphragm near the outlet of the volute becomes more turbulent,and even a secondary back-flow vortex appears.

Estimation of solid concentration in solid-liquid two-phase flow in horizontal pipeline using inverse-problem approach

In this study,an inverse-problem method was applied to estimate the solid concentration in a solid-liquid two-phase flow.An algebraic slip mixture model was introduced to solve the forward problem of solid-liquid convective heat transfer.The time-average conservation equations of mass,momentum,energy,as well as the volume fraction equation were computed in a computational fluid dynamics(CFD)simulation.The solid concentration in the CFD model was controlled using an external program that included the inversion iteration,and an optimal estimation was performed via experimental measurements.Experiments using a fly-ash-water mixture and sand-water mixture with different solid concentrations in a horizontal pipeline were conducted to verify the accuracy of the inverse-problem method.The estimated results were rectified using a method based on the relationship between the estimated results and estimation error;consequently,the accuracy of the corrected inversion results improved significantly.After a verification through experiments,the inverse-problem method was concluded to be feasible for predicting the solid concentration,as the estimation error of the corrected results was within 7%for all experimental samples for a solid concentration of less than 50%.The inverse-problem method is expected to provide accurate predictions of the solid concentration in solid-liquid two-phase flow systems.

Density Calculation for NaCl-H_2O Solutions in the Liquid-Solid TwoPhase Field in NaCI-H_2O Three-Phase Inclusions

Three-phase NaCl-H_2O fluid inclusions featuring halite dissolution temperature（Tm）higher than vapor bubble disappearance temperature（T_h） are commonly observed in porphyry copper/molybdenum deposits,skarn-type deposits and other magmatic- hydrothermal ore deposits.Based on ｜ΔV_1｜（the absolute value of volume variation of NaCl-H_2O solution in a heating or cooling process of inclusions）= ｜ΔV_s｜（the absolute value of volume variation of the halite crystal in a heating or cooling process of inclusions） and on the principle of conservation of the mass of NaCl and H_2O,we systematically calculated the densities of NaCl-H_2O solutions in the solid-liquid two-phase field for temperatures（T_h） from 0.1℃ to 800℃ and salinities from 26.3 wt%to 99.2wt%.Consequently for the first time we obtained the upper limit of the density of NaCI-H_2O solutions in the solid-liquid twophase field for T_b〈T_m inclusions with variant salinities.The results indicate that for inclusions of the T_h〈T_m type with the same T_h,the higher the T_m or salinity is,the higher the density of the NaClsaturated solution will be.If a group of fluid inclusions were homogeneously trapped,they must have the same T_h value and the same T_m or salinity value.This may be used to distinguish homogeneous,inhomogeneous,and multiple entrapments of fluid inclusions.

高压隔膜泵单向阀阀隙流场的冲蚀磨损特性分析

目的探究高压隔膜泵单向阀阀隙流场冲蚀磨损产生的原因及主要影响因素。方法基于固液两相流基本理论和冲蚀模型,考虑颗粒保护效应及磨蚀效应,采用计算流体力学(CFD)方法模拟单向阀阀隙流场的冲蚀磨损行为,探究矿粉颗粒体积分数、颗粒粒径、单向阀半锥角、胶垫突出高度等参数对单向阀冲蚀磨损特性的影响。结果矿粉颗粒紧贴阀芯壁面的剪切运动是造成阀芯发生冲蚀磨损失效的主要原因。当矿粉的体积分数由0.1增大到0.5时,由冲蚀造成的最大冲蚀磨损速率随之减小,由磨蚀造成的平均冲蚀磨损速率随之增大。当矿粉粒径为0.025~0.048 mm时,随着矿粉粒径的增大,平均冲蚀磨损速率随之增大。当矿粉粒径超过0.048 mm时,平均冲蚀磨损速率逐渐减小。当单向阀半锥角由30°增大到45°时,阀隙流场的最大流速由12.23 m/s减小至9.19 m/s,矿粉颗粒对阀芯壁面的最大冲蚀磨损速率减小了41.16%。阀隙流场的最大流速和冲蚀磨损速率随着胶垫突出高度h的增大而增大,同时位置也发生了相应变化。结论矿粉颗粒体积分数的增加会加重粒子对阀芯壁面的损伤程度,随着粒径的增加,泵阀的最大冲蚀磨损速率先增大后减小,增大半锥角可以缓解颗粒对壁面的冲蚀磨损,增大胶垫突出高度会导致冲蚀磨损区域逐渐向胶垫突出位置集中。

三效蒸发结晶系统管道设计和弯头防冲蚀研究

在湿法烟气脱硫工艺蒸发结晶单元,管道内介质流动以液固两相流体为主,设备布置及管道设计不合理易造成固体颗粒析出沉积,对管道、弯头等存在一定的冲蚀磨损。从工程实际出发,系统梳理了某装置蒸发结晶系统主设备的平立面布置、管道设计,并采用流体流动模型(CFD),对影响装置长周期运行的不同曲率半径的弯头冲蚀情况进行模拟分析验证,研究管道内的流体速度场分布、压强分布、粒子运动轨迹和冲蚀速率分布图,证明使用3D、6D等曲率半径弯头,能有效减少流体中固体粒子对管道的冲蚀磨损,保证装置的长周期运行。

Two-phase flow distributors for fuel cell flow channels

All existing proton exchange membrane （PEM） fuel cell gas flow fields have been designed on the basis of single-phase gas flow distribution. The presence of liquid water in the flow causes non-uniform gas distribution, leading to poor cell performance. This paper demonstrates that a gas flow restrictor/distributor, as is commonly used in two-phase flow to stabilize multiphase transport lines and multiphase reactors, can improve the gas flow distribution by significantly reducing gas real-distribution caused by either non-uniform water formation in parallel flow channels or flow instability associated with negative-slope pressure drop characteristic of two-phase horizontal flow systems.

螺旋轴流泵的固液两相流动数值模拟

为研究螺旋轴流泵输送含有沙、油和水的固液两相时内部的流动情况,基于Ansys CFX软件,应用RNG k-ε湍流模型,采用固相颗粒直径为2 mm,初始体积分数分别为5%,10%,15%,以及液相油初始体积分数分别为5%,10%,15%时,对螺旋轴流泵叶轮流道内固液两相流场内部变化规律进行数值计算.结果表明:沙和油的分布规律相似,主要集中于叶轮进口边轮毂头部、叶轮外缘区域;当沙和油的初始体积分数改变时,其对应的过流部件内体积分数分布也发生了变化,分布区域也有所改变,说明沙和油两相互相影响对方的分布;当沙和油的初始体积分数一定时,各相的相对速度变化规律总体上趋于一致,其相对速度由大到小依次为沙、油和水;扬程和效率的计算曲线与试验曲线基本吻合,扬程误差值在3%左右,效率误差值在4%左右,说明试验方案的设计合理可行,数值模拟结果较为准确.

两种叶型离心泵内固液两相流场的对比

为了研究分流短叶片离心泵内固液两相流场的运动规律,应用Fluent软件分别对分流短叶片离心泵和原型离心泵进行固液两相流场的数值模拟,在多重参考系坐标下,采用有限体积法对雷诺时均Navier-Stokes方程进行离散,选用标准的k-ε湍流模型和SIMPLEC算法进行求解,得到两种不同叶型离心泵内固相浓度、速度等参数的分布和变化规律,并对其结果进行比较和分析。模拟结果表明:在输送相同初始固相体积浓度时,分流短叶片离心泵内固相浓度分布均匀性明显高于原型离心泵;对于分流短叶片离心泵,流道内固相颗粒浓度分布均匀性随着初始固相体积浓度的增大而减小;分流叶片离心泵内速度等值线基本与叶型平行,减小了流动损失。采用分流短叶片,对于改善离心泵内流动状态,减小流场脉动,降低冲击损失和叶片磨损具有重要意义。所得结论对于指导实际应用以及为分流短叶片固液两相流离心泵的设计提供参考依据。

混流式水轮机引水、导水部件内部固液两相流动的数值分析

基于N-S方程，运用k-ε-Ap模型，采用直角坐标系、混合四面体非结构网格和SIMPLE算法，将混流式水轮机蜗壳、固定导叶和活动导叶作为耦合整体，对引水、导水部件在含沙水两相流介质流动时的内部流场进行数值模拟计算．分析水轮机引水、导水部件内部流场两相流动的机理，对泥沙两相流动时蜗壳、固定导叶和活动导叶等部件的泥沙磨损进行分析和预测．研究结果表明，蜗壳包角从0°～320°的外侧壁、特殊固定导叶的头部及工作面靠近头部位置、活动导叶头部及工作面靠近头尾部的区域，属于磨损严重区域，与水电站的实际磨损情况基本吻合．