• Title/Summary/Keyword: Momentum Equation

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Analysis of Thermal Recovery Characteristics for Nozzle of SF6 GCB Considering Nozzle Ablation (노즐용삭을 고려한 SF6 가스차단기 노즐의 열적회복특성 해석)

  • Lee Byeong-Yoon;Song Ki-Dong;Chong Jin-Kyo;Park Kyong-Yop
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.54 no.2
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    • pp.76-82
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    • 2005
  • In this paper, a method for analyzing the thermal recovery characteristics of the nozzle of gas circuit breaker was described. In order to obtain thermal recovery characteristics, the transient simulation of SF6 arc plasma within the nozzle was carried out. In particular, the nozzle ablation was taken into account by simultaneously solving the PTFE concentration equation with the governing equations such as continuity, momentum and energy equation. After that, post arc current calculation was performed with the rate of rise of recovery voltage changed. From the calculated post arc current, it was possible to suggest the thermal recovery characteristics of the nozzle of gas circuit breaker.

STUDY ON NUMERICAL ANALYSIS AND TURBULENCE MODELS FOR ARC DISCHARGES IN HIGH-VOLTAGE INTERRUPTERS (초고압 차단부 아크방전 수치해석 및 난류모델에 관한 연구)

  • Kim, W.Y.;Lee, J.C.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.201-207
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    • 2010
  • In this study, we calculated arc discharges happened in high-voltage circuit breakers for understanding the complex physics and the probability of thermal breakdown. The four main parts of arc model for this virtual-reality are radiation, PTFE abaltion, Cu evaporation and turbulence. Among these important parts the turbulence model can be critical to the reliability of computation results during high-current period because the plasma flow is affected by high eat energy and mass momentum. Two kinds of turbulence model, zero-equation model and two-equation model, are applied for these calculations and are compared with the measured pressure data inside a chamber.

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ALTERNATING DIRECTION IMPLICIT METHOD FOR TWO-DIMENSIONAL FOKKER-PLANCK EQUATION OF DENSE SPHERICAL STELLAR SYSTEMS

  • Shin, Ji-Hye;Kim, Sung-Soo
    • Journal of The Korean Astronomical Society
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    • v.40 no.4
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    • pp.91-97
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    • 2007
  • The Fokker-Planck (FP) model is one of the commonly used methods for studies of the dynamical evolution of dense spherical stellar systems such as globular clusters and galactic nuclei. The FP model is numerically stable in most cases, but we find that it encounters numerical difficulties rather often when the effects of tidal shocks are included in two-dimensional (energy and angular momentum space) version of the FP model or when the initial condition is extreme (e.g., a very large cluster mass and a small cluster radius). To avoid such a problem, we have developed a new integration scheme for a two-dimensional FP equation by adopting an Alternating Direction Implicit (ADI) method given in the Douglas-Rachford split form. We find that our ADI method reduces the computing time by a factor of ${\sim}2$ compared to the fully implicit method, and resolves problems of numerical instability.

NUMERICAL ANALYSIS ON THE REACTOR CORE EXPANSION AND ENERGY BEHAVIORS DURING CDA USING UNDERWATER EXPLOSION THEORY (수중폭발 이론을 사용한 노심폭주사고 시 노심 팽창 및 에너지 거동 수치해석)

  • Kang, S.H.
    • Journal of computational fluids engineering
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    • v.21 no.3
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    • pp.8-14
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    • 2016
  • A numerical analysis is conducted to estimate the core expansion and the energy behaviors induced by a core disruptive accident in a sodium-cooled fast reactor. The numerical formulation based on underwater explosion theory is carried out to simulate the core explosion inside the reactor vessel. The transient pressure, temperature and expansion of the core are examined by solving the equation of state and nonlinear governing equation of momentum conservation in one-dimensional spherical coordinates. The energy balance inside the computation domain is examined during the core expansion process. Heat transfer between the core and the sodium coolant, and the bubble rise during the expansion process are briefly investigated.

CAVITATION FLOW ANALYSIS OF 2-D HYDROFOIL USING A HOMOGENEOUS MIXTURE MODEL ON UNSTRUCTURED MESHES (비정렬 격자계에서 균질혼합 모델을 이용한 2차원 수중익형 주위의 캐비테이션 유동 해석)

  • An, S.J.;Kwon, O.J.
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.20-24
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    • 2011
  • In this paper, numerical simulation of cavitation flow for modified NACA66 hydrofoil was made by using the multi-phase RANS equation based on pseudo-compressibility. The Homogeneous mixture model comprised of the mixture continuity, mixture momentum and liquid volume fraction equations was utilized. A vertex-centered finite-volume method was used in conjunction 2nd-order Roe's FDS to discretize the inviscid fluxes. The viscous fluxes were computed based on central differencing The Spalart-Allmaras one equation model was employed for the closure of turbulence. Reasonable agreements were obtained between the calculation results and the experiment for pressure coefficients on the hydrofoil surface.

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Computation of Water and Air Flow with Submerged Hydrofoil by Interface Capturing Method

  • Kwag, Seung-Hyun
    • Journal of Mechanical Science and Technology
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    • v.14 no.7
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    • pp.789-795
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    • 2000
  • Free-surface flows with an arbitrary deformation, induced by a submerged hydrofoil, are simulated numerically, considering two-fluid flows of both water and air. The computation is performed by a finite volume method using unstructured meshes and an interface capturing scheme to determine the shape of the free surface. The method uses control volumes with an arbitrary number of faces and allows cell wise local mesh refinement. The integration in space is of second order, based on midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation in time through three time levels. The linear equations are solved by conjugate gradient type solvers, and the non-linearity of equations is accounted for through Picard iterations. The solution method is of pressure-correction type and solves sequentially the linearized momentum equations, the continuity equation, the conservation equation of one species, and the equations for two turbulence quantities. Finally, a comparison is quantitatively made at the same speed between the computation and experiment in which the grid sensitivity is numerically checked.

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Behavior of Two Dimensional Density Flow into a Reservoir with Sloping Bottom (경사정지수역으로 유입되는 2차원 밀도류의 거동)

  • 윤태훈;전시영
    • Water for future
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    • v.20 no.3
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    • pp.237-245
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    • 1987
  • The behavior of negative buoyant flow into a reservoir with sloping bottom is analysed by numerical solution technique of the governing equations composed of continuty, momentum and constituent transport equation. The stable plunge point and maximum travel distance are found to be dependent on the bottom slope of reservoir as well as inflow densimetric Froude number, $Fr_e$. They are also related closely to a vortex formed just downstream from the plunge point and above the underflow. The plunge depth was shown to be a function of th bottom slope and $Fr_e$. The plunge depths obtained in this numerical study agree relatively well with published data and theoretical studies, and its predictive equation is derived.

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CFD Simulation Tool for Anode-Supported Flat-Tube Solid Oxide Fuel Cell

  • Youssef M. Elsayed.;Lim, Tak-Hyoung;Song, Rak-Hyun;Lee, Seung-Bok;Shin, Dong-Ryul
    • Journal of the Korean Electrochemical Society
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    • v.9 no.4
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    • pp.151-157
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    • 2006
  • A two-dimensional numerical model to study the performance of anode-supported flat-tube solid oxide fuel cell (SOFC) far the cross section of the cell in the flow direction of the fuel and air flows is developed. In this model a mass and charge balance, Maxwell-Stefan equation as well as the momentum equation by using, Darcy's law are applied in differential form. The finite element method using FEMLAB commercial software is used for meshing, discritization and solving the system of coupled differential equations. The current density distribution and fuel consumption as well as water production are analyzed. Experimental data is used to verify a predicted voltage-current density and power density versus current density to judge on the model accuracy.

Analysis of Thermal flow Field Uing Equal Order Linear Finite Element and Fractional Step Method (동차선형 유한요소와 Fractional Step방법을 이용한 열유동장의 해석)

  • ;;Yoo, Jung Yul
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.10
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    • pp.2667-2677
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    • 1995
  • A new numerical algorithm using equal order linear finite element and fractional step method has been developed which is capable of analyzing unsteady fluid flow and heat transfer problems. Streamline Upwind Petrov-Galerkin (SUPG) method is used for the weighted residual formulation of the Navier-Stokes equations. It is shown that fractional step method, in which pressure term is splitted from the momentum equation, reduces computer memory and computing time. In addition, since pressure equation is derived without any approximation procedure unlike in the previously developed SIMPLE algorithm based FEM codes, the present numerical algorithm gives more accurate results than them. The present algorithm has been applied preferentially to the well known bench mark problems associated with steady flow and heat transfer, and proves to be more efficient and accurate.

A Turbulent Bounbary Layer Effect of the De-Laval Nozzle on the Combustion Chamber Pressure (De-Laval 노즐의 난류 경계층 유동이 연소실 압력에 미치는 영향)

  • 장태호;이방업;배주찬
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.635-644
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    • 1986
  • A Compuressible turbulent boundary layer effect of the high temperature, accelerating gas flow through the De-Laval nozzle on combustion chamber pressure is numerically investigated. For this purpose, the coupled momentum integral equation and energy integral equation are solved by the Bartz method, and 1/7 power law for both the turbulent boundary layer velocity distribution and temperature distribution is assumed. As far as the boundary layer thicknesses are concerned, we can obtain reasonable solutions even if relatively simple approximations to the skin friction coefficient and stanton number have been used. The effects of nozzle wall cooling and/or mass flow rate on the boundary layer thicknesses and the combustion chamber pressure are studied. Specifically, negative displacement thickness is appeared as the ratio of the nozzle wall temperature to the stagnation temperature of the free stream decreases, and, consequently, it makes the combustion chamber pressure low.