• Title/Summary/Keyword: Phase Equation

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SIMULATION OF CAVITATING FLOW PAST CYLINDERS WITH STRONG SIDE-FLOW (측류유동을 고려한 실린더 주위의 캐비테이션 유동 현상 해석)

  • Lee, B.W.;Park, W.G.;Lee, K.C.
    • Journal of computational fluids engineering
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    • v.14 no.4
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    • pp.78-85
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    • 2009
  • Cavitating flow simulation is of practical importance for many engineering systems, such as marine propellers, pump impellers, nozzles, injectors, torpedoes, etc. The present work has focused on the simulation of cavitating flow past cylinders with strong side flows. The governing equation is the Navier-Stokes equation based on the homogeneous mixture model. The momentum and energy equation is in the mixture phase while the continuity equation is solved liquid and vapor phase, separately. An implicit dual time and preconditioning method are employed for computational analysis. For the code validation, the results from the present solver have been compared with experiments and other numerical results. A fairly good agreement with the experimental data and other numerical results have been obtained. After the code validation, the strong side flow was applied to include the wake flow effects of the submarine or ocean tide.

Calculation of Two-Phase Turbulent Jet with a Two-Equation Model (2-方程式 모델 에 의한 二相亂流 제트流動 의 數値解析)

  • 양선규;최영돈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.6
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    • pp.714-724
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    • 1985
  • Two-phase(air-solid, air-liquid droplet) turbulent round jet has been analyzed numerically using two equation turbulence model. The mean motion of suspending particles in air has been treated as the secondary fluid with virtual density and eddy viscosity. In this paper, the local mean velocity of secondary fluid is not assumed to be the same as that of the primary one. Dissipation rate of turbulent kinetic energy which arises because the particles can not catch up with the turbulent fluctuations of the primary fluid has been modelled by using the concept of Kolmogorov's spectral energy transfer. Numerical computations were performed for flows with different volume fraction of the dispersed phase and the diameter of particle. Results show that the total rate of turbulent energy dissipation, turbulent intensities and spreading rate of jets are reduced by the increase of volume fraction of dispersed phase. However it does not show consistent tendency with increasing the particle diameter. This investigation also shows that presence of particles in the fluid modifies the structure of the primary fluid flow significantly. Predicted velocity profiles and turbulence properties qualitatively agree with available data.

Visualization of $1^{st}$ order phase transition by using lattice Boltzmann equation (Lattice Boltmann 방정식에 의한 1차 상변이의 가시화)

  • Ha, Man-Yeong;Kim, Hyo-Geun
    • 한국가시화정보학회:학술대회논문집
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    • 2005.12a
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    • pp.103-106
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    • 2005
  • Lattice Boltzmann method is a new numerical method of investigating the fluid flow which have been solved by Navier-Stokes equation recently. It is known that making the single and parallel algorithms of the Lattice Boltzmann equation is easier than those of Navier-Stokes equations. Also, we can simulate the two phase flow using either the 'Interaction Potential model ' introduced by Shan and Chen. In this paper, we first compared the 3D cavity results of Lattice Boltzmann method with other numerical results for validation and showed the 3D phase transition and its simple application by using the ' Interaction Potential model'

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Numerical Modeling of the Mathematical Model of Single Spherical Bubble (단일 구형 기포의 수학적 모델에 대한 수치적 해석 모델)

  • Kang, Dong-Keun;Yang, Hyun-Ik
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.6
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    • pp.731-738
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    • 2010
  • Cavitation is described by formation and collapse of the bubbles in a liquid when the ambient pressure decreases. Formed bubbles grow and collapse by change of pressure, and when they collapse, shockwave by high pressure is generated. In general, bubble behavior can be described by Rayleigh-Plesset equation under adiabatic or isothermal condition and hence, phase shift by the pressure change in a bubble cannot be considered in the equation. In our study, a numerical model is developed from the mathematical model considering the phase shift from the previous study. In the developed numerical model, size of single spherical bubble is calculated by the change of mass calculated from the change of the ambient pressure in a liquid. The developed numerical model is verified by a case of liquid flow in a narrow channel.

The Analysis on the Characteristics of the Double-Sided 3 Phase Linear Induction Motor With Conducting Sheet Rotor (Conducting sheet rotor를 갖인 양측방식 3상 직선형 유도전동기의 특성해석)

  • Yun Jong Lee
    • 전기의세계
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    • v.19 no.3
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    • pp.1-9
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    • 1970
  • In this paper, the equation for the generated force is introduced, on the basis of Maxwell's electromagnetic equation, by dividing the air-gap magnetic field into the region of the constant amplitude and the region of the pulsating field in the both ends of iron core, in the case that the typical 3 phase winding is employed in the double sided 3 phase linear induction motor with sheet rotor in accrodance with the winding method of rotary induction machine. With the effect of the overhang region being taken into account, the result, in which the equation is established, inducates that theoretical values nearly coincides with the measured values in the interval of slip s=0-0.8.

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Analysis for Catenary Voltage of The ATs-Fed AC Electric Railroad System (교류전기철도 급전시스템의 전차선 전압해석)

  • 이승혁;정현수;김진오
    • Proceedings of the KSR Conference
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    • 2002.10a
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    • pp.490-496
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    • 2002
  • This paper presents exact Autotransformers(ATs)-fed AC electric Railroad system modeling using constant current mode far locomotives. An AC electric railroad system is rapidly changing single-phase load, and at a feeding substation, 3-phase electric power is transferred to paired directional single-phase electric power. As the train moves along a section of line between two adjacent ATs. The proposed AC electric railroad system modeling method considers the line self-impedances and mutual-impedances. The constant current mode model objectives are to calculate the catenary and rail voltages with the loop equation. When there are more than one train in the AC electric railroad system, the principle of superposition applies and the only difference between the system analyses for one train. Finally, this paper shows the general equation of an AC electric railroad system, and that equation has no relation with trains number, trains position, and feeding distance.

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Analysis for Catenary Voltage of The ATs-Fed AC Electric Railroad System (단권변압기 교류전기철도 급전시스템의 전차선 전압해석)

  • 정현수;이승혁;김진오
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.9
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    • pp.493-499
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    • 2003
  • This paper presents exact Autotransformers(ATs)-fed AC electric Railroad system modeling using constant current mode for locomotives. An AC electric railroad system is rapidly changing single-phase load, and at a feeding substation, 3-phase electric power is transferred to paired directional single-phase electric power. As the train moves along a section of line between two adjacent ATs. The proposed AC electric railroad system modeling method considers the line self-impedances and mutual-impedances. The constant current mode model objectives are to calculate the catenary and rail voltages with the loop equation. When there are more than one train in the AC electric railroad system, the principle of superposition applies and the only difference between the system analyses for one train. Filially, this paper shows the general equation of an AC electric railroad system, and that equation has no relation with trains number, trains position, and feeding distance.

Active Disturbance Rejection Control for Single-Phase PWM Rectifier with Current Decoupling Control

  • Yan, Ruitao;Wang, Ping
    • Journal of Electrical Engineering and Technology
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    • v.13 no.6
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    • pp.2354-2363
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    • 2018
  • This paper proposed a novel double closed control strategy for single-phase voltage source pulse width modulation (PWM) rectifier based on active disturbance rejection control (ADRC) and dq current decoupling control. First, the mathematical model of the single-phase PWM rectifier in the d-q axis synchronous rotating reference frame is established by constructing a virtual component using a second-order generalized integrator (SOGI). Then, the mathematical model is simplified according to the active power conservation, and the first-order equation of single-phase PWM rectifier voltage outer loop is acquired. A linear auto-disturbance rejection controller is used to design the voltage outer loop according to the first-order equation. Finally, the proposed control strategy and the traditional PI control are compared and verified by simulation and physical experiments. Both simulation and experimental results confirm that the proposed control strategy has excellent dynamic performance and strong rejection ability to disturbances.

Starting Characteristic Analysis of Single-Phase Line-Start Permanent Magnet Synchronous Motor (단상 직립기동 영구자석 동기전동기의 기동특성 해석)

  • Gang, Gyu-Hong;Hong, Jeong-Pyo
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.50 no.12
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    • pp.592-600
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    • 2001
  • This Paper presents the transient analysis of the single-phase line-start permanent magnet synchronous motor. To analyse the starting characteristics, the dynamic equation which is combined electric dynamic equations with mechanical dynamic equation is used. The electric dynamics are derived from the d-q axis voltages of stator and rotor respectively. Especially, symmetrical components transformation is used to consider unbalanced magnetic field which is produced by single-phase input. Non-linear d-q axis inductances according to current amplitude and current phase angle are calculated by Finite Element Method and applied to lumped parameter circuit. The analysis methods are validated by comparing simulated and experimental results.

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The Reluctance Torque Estimate by Linkage Flux Calculation of IPMSM (IPMSM의 쇄교자속 계산을 통한 릴럭턴스 토크 산정)

  • Cho, Gyu-Won;Kim, Cheol-Min;Lee, Jung-Gyu;Kim, Gyu-Tak
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.2
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    • pp.171-176
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    • 2013
  • Classically, reluctance torque of IPMSM(Interior Permanent Magnet Synchronous Motor) by using inductance according to current phase angle generates an error. This error is affected by total torque. From current phase angle $0^{\circ}$ to large errors will occur, because reluctance torque include current phase angle. But, reluctance torque from steady-state voltage equation of IPMSM is represented by linkage flux. So, reluctance torque is unrelated to the current phase angle formula can be derived. In this paper, operating torque was analyzed by d, q-axis linkage flux of IPMSM and reluctance torque to perform calculations reduced the error of the total torque calculation.