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Numerical Simulation of a Pouring Flow From a Beverage Can 饮料罐浇注流动的数值模拟
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-5308
Y. Nishio, K. Niwa, T. Ogawa
Motion of liquid pouring from a beverage can is numerically studied. A liquid is poured from a can which is rotated at a prescribed angular speed. The flow is simulated by solving the unsteady three-dimensional Navier-Stokes equations. An experiment under the same condition is also carried out to validate the computational result. The result shows that, when the can is tipped, the liquid flows over the lid of the can and is once obstructed by the rim of the lid. The numerical result is in good agreement with the experimental result. The effect of condensation formed on a can surface is also considered. The effect of condensation is taken into account by adjusting a contact angle. The liquid pouring from a can trickles down along the can body. The computation reproduces these experimental observations.
用数值方法研究了液体从饮料罐中倒出的运动。液体从以规定的角速度旋转的罐子中倒出。通过求解三维非定常Navier-Stokes方程来模拟流体的流动。并在相同条件下进行了实验,验证了计算结果。结果表明,当易拉罐倾斜时,液体流过易拉罐的盖子,并一度被盖子的边缘阻挡。数值计算结果与实验结果吻合较好。还考虑了在罐表面形成的冷凝的影响。通过调整接触角来考虑冷凝的影响。从易拉罐中倒出的液体沿着易拉罐体滴下。计算再现了这些实验观察结果。
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引用次数: 0
Simulation of Dynamic Characteristics of Pneumatic Control Valve With Smart Valve Positioner 基于智能阀门定位器的气动控制阀动态特性仿真
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4783
C. Youn, Kenjiro Saito, M. Furuya
In this research, in order to predict the dynamic characteristics of a regulating valve, a mathematical model is proposed for a pneumatic control valve using a smart valve positioner (AVP300), and the dynamic characteristics of the control valve were simulated. We modeled the components of the control valve (i.e., nozzle flapper, pilot valve, Auto/Manual (A/M) screw, bleed orifice, pneumatic actuator, gland packing, and pressure reducing valve), and simulated the dynamic characteristics using SimulationX, a one-dimensional analysis software. For the nozzle flapper, we proposed a model that considers the influence of fluid force due to pressure change as well as the influence of the change in effective area by measuring the displacement, pressure, and flow rate of the nozzle flapper. The diaphragm chamber, which operates the pilot valve of the positioner, was made of transparent acrylic. The displacement of the pilot valve was measured by a laser displacement sensor, and its movement against pressure change was clarified. The sonic speed conductance and critical pressure ratio of the A/M screw and bleed orifice were determined experimentally and reflected in the model. In the pneumatic actuator, the effective cross-section of the diaphragm was obtained from the change in pressure and displacement. The change in volume was calculated from the experiment using a fixed chamber. The friction force of gland packing was modeled using static and dynamic friction forces. The experiment on the dynamic characteristics of valve displacement was performed with the input signal of the valve displacement set from 20% to 80%. A comparison of the experimental results of the valve displacement and simulation results showed good agreement. The simulation in this study is considered effective in predicting the dynamic characteristics of the control valve.
为了预测调节阀的动态特性,提出了采用智能阀门定位器(AVP300)的气动调节阀的数学模型,并对调节阀的动态特性进行了仿真。对控制阀的组成部分(即喷嘴挡板、先导阀、自动/手动(A/M)螺杆、排气孔、气动执行器、压盖填料和减压阀)进行建模,并利用SimulationX一维分析软件对其动态特性进行仿真。对于喷嘴挡板,通过测量喷嘴挡板的位移、压力和流量,提出了考虑压力变化引起的流体力影响和有效面积变化影响的模型。膜片腔,操作定位器的先导阀,是由透明丙烯酸制成的。利用激光位移传感器测量了先导阀的位移,阐明了先导阀随压力变化的运动规律。实验确定了A/M螺杆和排气孔的声速、导度和临界压比,并反映在模型中。在气动执行器中,膜片的有效截面由压力和位移的变化得到。体积的变化是通过使用固定腔室的实验计算出来的。采用静摩擦力和动摩擦力对压盖填料的摩擦力进行了建模。将阀排量的输入信号设置为20% ~ 80%,对阀排量的动态特性进行了实验研究。仿真结果与实验结果吻合较好。本研究的仿真结果对于预测控制阀的动态特性是有效的。
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引用次数: 1
Numerical Investigation of an Intake Duct for a Waterjet Propulsion System Using Modified Partially Averaged Navier-Stokes Method 基于改进部分平均Navier-Stokes方法的喷水推进系统进气道数值研究
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-5059
R. Huang, Xianwu Luo
When the marine vessels exceed the speed of 30 knots, it is preferred to adopt the waterjet propulsion method due to its high propulsive efficiency, good maneuverability, less vibration and good anti-cavitation performance. The efficiency of the waterjet pump is up to 90% with advanced modern design methods while 7∼9% of total power is lost in the intake duct. In this paper, the flow simulation in an intake duct has been conducted using the modified partially averaged Navier-Stokes method for better understanding of flow features inside the intake duct and instructing how to reduce the power loss at various ship speeds and inlet velocity ratio (IVR) with considering the hull boundary layer. The nonuniformity and perpendicularity at the impeller plane is applied to analyze the flow quality at the outlet plane of intake duct. The results indicate that the nonuniformity decreases while the perpendicularity increases with increasing IVR. Thus a large IVR together with a high ship speed would cause better outflows. Further analyses of the pressure along the ramp and cutwater depict that cavitation easily occurs at the upper side of the cutwater with a larger IVR. The hydraulic efficiency is seen to firstly increase and then decrease with an increase in IVR. The hydraulic efficiency of the intake duct is over 80% during IVR = 0.4∼1.2 with the maximum value of 92.19% at IVR = 0.6.
当船舶航速超过30节时,由于水射流推进效率高、机动性好、振动小、抗空化性能好,首选采用水射流推进方式。采用先进的现代设计方法,喷水泵的效率高达90%,但总功率的7 ~ 9%在进气管道中损失。本文采用改进的部分平均Navier-Stokes方法进行了进气道内的流动模拟,以便更好地了解进气道内的流动特征,指导如何在考虑船体边界层的情况下降低不同船速和进气道速比(IVR)下的功率损失。利用叶轮平面的不均匀性和垂直性来分析进气管道出口平面的流动质量。结果表明:随着IVR的增加,不均匀性降低,垂直度增加;因此,一个大的IVR加上高的船速会导致更好的流出。进一步分析斜坡和切割水的压力表明,在IVR较大的切割水上部容易发生空化。随着IVR的增加,液压效率先增加后降低。在IVR = 0.4 ~ 1.2时,进气道水力效率超过80%,在IVR = 0.6时,水力效率最高,达到92.19%。
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引用次数: 2
Global Sensitivity Analysis for Stay Vane and Casing Design of Reaction Hydraulic Turbine 反力水轮机停留叶和机匣设计的全局敏感性分析
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4684
Hyunkyoo Cho, U. Shrestha, Young-Do Choi, Jungwan Park
Global sensitivity analysis (GSA) estimates influence of design variables in the entire design domain on performance measures. Hence, using GSA, important design variables could be found for an engineering application with high dimension which require computationally expensive analyses. Then, similar engineering applications could use selected variables to carry out design process with smaller dimension and affordable computational cost. In this study, GSA has been carried out for the performance measures in design of stay vane and casing of reaction hydraulic turbines. Global sensitivity index method is used for GSA because it can fully capture the effect of interaction between the design variables. For efficiency, genetic aggregation surrogate models are constructed using the responses of computational fluid dynamic (CFD) analysis. Global sensitivity indices for the performance measures of stay vane and casing have been evaluated using the surrogate models. It is found that less than three design variables among 12 are effective in the design process of stay vane and casing in reaction hydraulic turbines.
全局灵敏度分析(GSA)估计了整个设计域中设计变量对性能度量的影响。因此,使用GSA,可以为需要计算昂贵的分析的高维工程应用找到重要的设计变量。然后,类似的工程应用可以使用选定的变量以更小的尺寸和可承受的计算成本进行设计过程。本文对反式水轮机停留叶和机匣设计中的性能指标进行了GSA分析。由于全局灵敏度指数法能充分捕捉设计变量间相互作用的影响,因此采用全局灵敏度指数法进行GSA分析。为了提高效率,利用计算流体动力学(CFD)分析的响应构建了遗传聚集代理模型。使用代理模型对停留叶片和套管性能测量的全局敏感性指标进行了评估。结果表明,在反应式水轮机停留叶和机匣设计过程中,12个设计变量中有效的设计变量不足3个。
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引用次数: 0
Experimental Study of Temperature and Phase Transition of Liquid Oxygen at Ignition in Impinging Injector of Gas Generator 气体发生器冲击喷射器中液氧点火温度与相变的实验研究
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4935
H. Yagihashi, D. Nakata, Ryojiro Minato, Inaho Yoshikawa, K. Arimatsu, M. Uchiumi
This paper describes the ignition transients of a LOX/ethanol gas generator that is used for a gas generator cycle air turbo ramjet engine. It is essential to know the temperature history of the LOX injector manifold in order to determine the appropriate ignition sequence. Following a chill-down process, an inert gas purge is performed prior to ignition. Once the main valve is opened, liquid oxygen is discharged after a short period of discharging gaseous oxygen. The period of the gas discharge is a critical parameter for the success of the ignition that is affected by the injector temperature at the time that the valve opens. As a result of the experiments, the gas discharge period was found to be in the range of 0.5–1.0 second, whereas the injector temperature when the valve was opened ranged from 120–170 K under various experimental conditions.
本文介绍了燃气发生器循环空气涡轮增压冲压发动机用液氧/乙醇燃气发生器的点火瞬态。为了确定合适的点火顺序,了解液氧喷油器歧管的温度历史是至关重要的。在冷却过程之后,在点火前进行惰性气体吹扫。一旦打开主阀,在短时间内排放气态氧后,就会排放液态氧。气体放电周期是点火成功与否的一个关键参数,而点火成功与否又受到阀门开启时喷油器温度的影响。实验结果表明,气体放电周期在0.5 ~ 1.0 s之间,而在各种实验条件下,阀门开启时喷油器温度在120 ~ 170 K之间。
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引用次数: 0
Numerical Simulation and Vorticity Analysis of Cavitating Flow Around a Marine Propeller Behind the Hull 船舶船尾螺旋桨空化流的数值模拟与涡度分析
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4740
Yun Long, Cheng-zao Han, B. Ji, X. Long, Zhi-rong Zhang
In this paper, the unsteady cavitating turbulent flow around a marine propeller behind the hull is simulated by the k-ω SST turbulence model coupled with the Zwart cavitation model. Three systematic refined structured meshes around the hull and propeller have been generated to study the predicted cavitation patterns and pressure fluctuations. Numerical results indicate that the predicted transient cavitating flow behind the hull wake, including sheet cavitation and tip vortex cavitation, shows quasi-periodic feature and agrees fairly well with the available experimental data. The deviations of pressure fluctuations between experimental data and numerical results are much small. With mesh refining, the cavitation region and the magnitudes of the calculated pressure fluctuations increase, while the differences between two adjacent sets of grids become smaller. In addition, the uncertainty of the thrust coefficient obtained by Factor of Safety method is significantly small. Further, the interaction between the cavitation and the vortex by the relative vorticity transport equation is illustrated. Results show that the magnitude of stretching term is obviously larger than the other three terms, and the dilatation term and the baroclinic term both have an important influence on the generation of vortices.
本文采用k-ω SST湍流模型与Zwart空化模型相结合的方法,模拟了船舶螺旋桨后壳周围的非定常空化湍流。在船体和螺旋桨周围生成了三个系统的精细结构网格,以研究预测的空化模式和压力波动。数值计算结果表明,船体尾迹后瞬态空化流(包括板空化和尖涡空化)具有准周期特征,与现有实验数据吻合较好。压力波动的实验数据与数值结果的偏差很小。网格细化后,计算得到的空化区域和压力波动幅度增大,相邻两组网格之间的差异变小。此外,用安全系数法计算得到的推力系数的不确定度非常小。进一步用相对涡量输运方程说明了空化与涡旋的相互作用。结果表明,扩张项的大小明显大于其他三项,扩张项和斜压项都对涡旋的产生有重要影响。
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引用次数: 1
Mixing of Dry Air With Water-Liquid Flowing Through an Inverted U-Tube for Power Plant Condenser Applications 干空气与流经倒u型管的水-液混合在电厂凝汽器中的应用
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4901
K. Yousef, A. Hegazy, A. Engeda
This paper presents a Computational Fluid Dynamic (CFD) simulation for dry air/water-liquid and two-phase flow mixing in a vertical inverted U-tube using the mixture multiphase and turbulence models. This study is to investigate the flow behaviors and underlying some physical mechanisms encountered in dry air/water-liquid flow in the inverted U-tube. Water flows through the inverted U-tube while the dry air is entrained using the side-tube installed after the water flow downward. The inverted U-tube is tested at water mass flow rates of 2,4,6 and 8 kg/s, air mass flow rates, 0.000614–0.02292 kg/s, with dry air volume fractions 0.2–0.9. The obtained results are compared with the experimental data for model validation and the present CFD model is able to give an acceptable agreement. Also, the results show that, at water mass flow rate of 2 kg/s, there are vortices and turbulent intensity disturbances are noticed at the inverted U-tube higher part, which refers to an air entrainment occurrence from the side-tube. Theses disturbances starts to be stabilized at air mass flow rate around 0.00736 kg/s and air volume fraction, αa = 0.75. This means, if the air mass flow rate increases above this limit, the air entrainment may be blocked. On the other side, at water mass flow rate of 4 kg/s, there are little noticed disturbances until air mass flow rate of 0.00368 kg/s and αa = 0.43 and thereafter stabilized. After this point for water mass flow rate of 4 kg/s, increasing air mass flow rate may block the water flow and the whole inverted U-tube system possible stop flowing. Therefore, this study is able to estimate the required operational conditions and mass ratios for stable air entrainment process. Beyond these operational conditions, air entrainment may be blocked and the whole system discontinues its normal induced gravitational flow. In addition, this study proves that the inverted U-tube is able to generate a vacuum pressure up to 53.382 kPa based on the present geometrical configuration. This generated low-pressure by the inverted U-tube can be used for engineering applications which are working under vacuum and need continuous evacuating form the dry air and non-condensable gases. Furthermore, these findings motivate the utilizing of inverted U-tube for the air evacuation purposes for less power consuming in power plants.
本文采用混合多相流和湍流模型,对垂直倒u型管内干空气/水-液和两相流混合进行了计算流体动力学(CFD)模拟。本研究旨在探讨干空气/水/液在倒u管内流动时的流动行为及其潜在的一些物理机制。水通过倒u型管流动,干空气通过水向下流动后安装的侧管夹带。倒置u型管在水质量流量为2、4、6和8 kg/s,空气质量流量为0.000614-0.02292 kg/s,干空气体积分数为0.2-0.9的条件下进行试验。将所得结果与实验数据进行了比较,验证了模型的正确性。结果表明,当水质量流量为2 kg/s时,倒置u型管上部存在旋涡和紊流强度扰动,这是指侧管夹带气流。当空气质量流量在0.00736 kg/s左右,空气体积分数αa = 0.75时,这些扰动开始趋于稳定。这意味着,如果空气质量流量增加超过这个限制,空气夹带可能会被阻塞。水质量流量为4 kg/s时,在空气质量流量为0.00368 kg/s且αa = 0.43之前,扰动基本不明显,此后趋于稳定。当水质量流量为4 kg/s时,在此点之后,增大空气质量流量可能会阻塞水流,整个倒u型管系统可能会停止流动。因此,本研究能够估计稳定空气夹带过程所需的操作条件和质量比。在这些操作条件之外,空气夹带可能被阻塞,整个系统停止正常的诱导重力流。此外,本研究证明,在目前的几何构型下,倒u型管能够产生高达53.382 kPa的真空压力。倒置u型管产生的低压可用于在真空条件下工作并需要连续排出干燥空气和不可冷凝气体的工程应用。此外,这些发现激发了利用倒u型管的空气疏散目的,以减少电力消耗的发电厂。
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引用次数: 1
Multiphase Flow Simulation of In-Line Gas-Liquid Separator for Multiphase Metering 多相计量在线气液分离器的多相流模拟
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4802
Nakyeong Seo, N. Kharoua, L. Khezzar, M. Alshehhi, M. Méribout
The present study addresses itself to the performance assessment of a novel in-line gas-liquid separator. The separator is developed by FRAMES company under the name of SwirlSep based on the interaction of a swirling flow, generated by an innovative devise called swirl cage, and a hollow conical bluff body designed to deviate the gaseous phase internally.. The separator is intended to be implemented within a multiphase flow metering system in oil field gathering stations in the Gulf region. The study represents a preliminary step among a design process including elaborate lab-scale and filed tests. The flow in the gas-liquid separator is studied using Computational Fluid Dynamics CFD. The Shear Stress Transport (SST) k-ω turbulence and Eulerian-Eulerian multiphase models, under different flow conditions, were used to simulate real flow scenarios. The scenarios were chosen to replicate flow conditions that could exist during the operation of oil wells over their lifetime with the aim to provide guidance for proper control of the separator valves. The fraction of the total flow is prescribed at each outlet, using an outflow boundary condition, to mimic the action of the control valves. At the inlet, the phase velocity and volume fraction were prescribed. The outlet streams and their phase’s content were, then, analyzed together with the distribution of the velocity and concentration fields inside the separator. Velocity and pressure drop were found to increase with the increase of the outflow in one outlet when changing the flow split. Flow control, at the outlets, caused an increase of the oil-in-gas entrainment when trying to minimize gas-in-oil entrainment which is a non-trivial task. The effects of the flow split specified appeared downstream of the conical bluff body only when the inflow conditions were kept constant whereas the flow field remained identical upstream of the cone. A recirculation zone was generated in the annular space downstream of the cone and affected the separator performance considerably. The recirculation zone was due to the effect of the higher flow rate towards the gas outlet and disappeared when the flow rate towards the oil outlet tended to be equal or higher. The phase distribution was identical upstream of the cone and depended on the flow split downstream of the cone. The cases considered served as an assessment of the separator performance under different multiphase flow conditions replicating realistic scenarios.
本文研究了一种新型直列气液分离器的性能评价。该分离器是由FRAMES公司以SwirlSep的名义开发的,基于旋涡流的相互作用,由一种名为涡流笼的创新设计产生,以及一个空心锥形钝体,旨在使气相内部偏离。该分离器将用于海湾地区油田集输站的多相流计量系统中。这项研究是整个设计过程的初步步骤,包括精心设计的实验室规模和现场测试。采用计算流体力学方法对气液分离器内的流动进行了研究。采用剪切应力输运(SST) k-ω湍流模型和欧拉-欧拉多相模型模拟不同流动条件下的真实流动场景。选择这些场景来模拟油井在其整个生命周期内可能存在的流动条件,目的是为正确控制分离阀提供指导。使用流出边界条件,在每个出口规定总流量的比例,以模拟控制阀的作用。在进口处,规定了相速度和体积分数。然后分析了出口流及其相含量,以及分离器内速度场和浓度场的分布。结果表明,在改变气流分流的情况下,随着一个出口流量的增加,速度和压降也随之增加。当试图将油中气体夹带最小化时,出口的流量控制会导致油气夹带量的增加,这是一项非常重要的任务。只有在入流条件一定的情况下,流场在锥形钝体的下游才会出现特定的流裂效应,而在锥形钝体的上游流场保持不变。在锥体下游的环空空间中产生了一个再循环区,对分离器的性能影响很大。再循环区是由于较高的气出口流量的影响,当油出口流量趋于相等或更高时,再循环区消失。相分布在锥体上游相同,并取决于锥体下游的气流分裂。所考虑的情况可用于评估分离器在不同多相流条件下的性能,并模拟实际情况。
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引用次数: 0
Optimal Design of Reaction Hydro Turbine Model Stay Vane by Vane Angle and Thickness Distribution 基于叶片角度和厚度分布的反应水轮机模型停留叶片优化设计
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4611
U. Shrestha, Jungwan Park, Young-Do Choi
Optimization is uprising technology in the engineering field, which enhance the performance of mechanical components. Likewise, upcoming turbomachinery designs need to be more efficient, cost-effective and easy manufacturing. Many optimization techniques have implemented for the development of efficient turbomachines. In this study, the optimization has mostly confined to the stay vane of reaction turbine like Francis, Pump Turbine etc. Stay vanes are mainly used to direct the flow towards guide vane and runner in the reaction type turbine (Francis, Pump Turbine). The three-dimensional flow field from the spiral casing is highly distorted, which causes secondary flow. However, the uniform flow field has maintained by stay vane. Due to steady flow field from stay vane, the performance of the runner has improved. Therefore, the better design of stay vane has been required for the improvement of the flow field around the runner passage. The design parameters of the stay vane are vane angle distribution and thickness distribution from leading edge to trailing edge. The vane angle distribution controls the stability of flow field direction and momentum towards the runner. Similarly, the thickness distribution will maintain the profile of the stay vane. The optimization of stay vane has improved turbine efficiency, flow uniformity, and pressure loss. The multi-objective genetic algorithm (MOGA) was selected for the optimization of stay vane because it satisfies all the objective functions without being dominated by any specific solution. MOGA is a more realistic approach to optimization. The validation test of performance is conducted to compare the result of experimental and numerical methods. The optimized stay vane has improved the flow uniformity around the stay vane.
优化是工程领域的新兴技术,其目的是提高机械部件的性能。同样,即将到来的涡轮机械设计需要更高效,更具成本效益和易于制造。许多优化技术已经实现了高效涡轮的发展。在本研究中,优化主要局限于混流式、泵式水轮机等反应式水轮机的停留叶片。在反应式水轮机(法兰式水轮机、泵式水轮机)中,停留叶片主要用于引导水流流向导叶和转轮。螺旋机匣的三维流场高度畸变,产生二次流。然而,停留叶片保持了均匀的流场。由于停留叶片的流场稳定,提高了流道的性能。因此,为了改善流道周围的流场,需要更好地设计停留叶片。停留叶片的设计参数是叶片从前缘到后缘的角度分布和厚度分布。叶片的角度分布控制着流向流道的流场方向和动量的稳定性。同样,厚度分布将保持停留叶片的轮廓。停留叶片的优化改善了涡轮效率、流动均匀性和压力损失。由于多目标遗传算法不受任何特定解的支配,满足所有目标函数,因此选择多目标遗传算法(MOGA)进行导风标优化。MOGA是一种更现实的优化方法。进行了性能验证试验,比较了实验方法和数值方法的结果。优化后的停留叶片改善了停留叶片周围的流动均匀性。
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引用次数: 1
Transient Simulation on Unbalanced Torque of Piston Type Valve Cores During Dynamic Motion 活塞式阀芯动态运动时不平衡力矩的瞬态仿真
Pub Date : 2019-11-20 DOI: 10.1115/ajkfluids2019-4733
Cong-wei Hou, Mu Juan, Wen-qing Li, Zhi-jiang Jin, J. Qian
Piston type valve cores are widely adopted in check valves, globe valves, pressure reducing valves and so forth. With the irregular inlet flow channel, the bottom of piston type valve core exits unbalanced torques usually. The unbalanced torque causes the valve core to squeeze sealing elements and increases the energy consumption. To analyze the unbalanced torque on the bottom of the piston type valve core, a transient numerical model of the piston type valve core is established and the simulation results are compared with the theoretical formula for the purpose of validation. The dynamic flow characteristics are studied to investigate pressure characteristics on the bottom of the piston type valve core with the dynamic motion of the valve core. Meanwhile, pressure characteristics under different valve core displacements are obtained, and the sensitive range of the unbalanced torque is found. This work can be helpful for the further structural optimization on the valves with piston type valve cores.
活塞式阀芯广泛应用于止回阀、截止阀、减压阀等。由于进口流道不规则,活塞式阀芯底部往往存在不平衡力矩。扭矩不平衡导致阀芯挤压密封元件,增加了能耗。为了分析活塞式阀芯底部的不平衡力矩,建立了活塞式阀芯的瞬态数值模型,并将仿真结果与理论公式进行了对比验证。研究了活塞式阀芯的动态流动特性,研究了阀芯动态运动时阀芯底部的压力特性。同时,得到了不同阀芯位移下的压力特性,找到了不平衡力矩的敏感范围。为活塞式阀芯阀的进一步结构优化提供了理论依据。
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引用次数: 1
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