• Title/Summary/Keyword: Momentum Equation

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On the Assessment of Compressibility Effects of Two-Equation Turbulence Models for Supersonic Transition Flow with Flow Separation

  • Sung, Hong-Gye;Kim, Seong-Jin;Yeom, Hyo-Won;Heo, Jun-Young
    • International Journal of Aeronautical and Space Sciences
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    • v.14 no.4
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    • pp.387-397
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    • 2013
  • An assessment of two-equation turbulence models, the low Reynolds k-${\varepsilon}$ and k-${\omega}$ SST models, with the compressibility corrections proposed by Sarkar and Wilcox, has been performed. The compressibility models are evaluated by investigating transonic or supersonic flows, including the arc-bump, transonic diffuser, supersonic jet impingement, and unsteady supersonic diffuser. A unified implicit finite volume scheme, consisting of mass, momentum, and energy conservation equations, is used, and the results are compared with experimental data. The model accuracy is found to depend strongly on the flow separation behavior. An MPI (Message Passing Interface) parallel computing scheme is implemented.

Computer Simulation of Liquid-Fuelled Combustor in Hot Vitiated-Air Stream (고온.저산소 농도영역중의 분무연소해석)

  • 김태한;최병륜
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.12
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    • pp.3187-3195
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    • 1993
  • Combustion of liquid-fuelled combustion in a high-temperature vitiated-air stream was studied. The mathematical formulation comprise the application of Eulerian conservation equation to the gas phase and Lagrangian equation of droplet motion. The latter is coupled with a droplet-tracking technique (PSI-CELL Model) which regard the droplet phase as a source of mass, momentum, and energy to the gaseous phase. Reaction rate is determined by taking into account the Arrhenius reaction rate based on a single-step reaction mechanism. The calculated profiles show somewhat uncertainess at the upstream, but bases data for designing the combustor followed by 2-phase flow were obtained.

Effects of Channel Electron In-Plane Velocity on the Capacitance-Voltage Curve of MOS Devices

  • Mao, Ling-Feng
    • ETRI Journal
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    • v.32 no.1
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    • pp.68-72
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    • 2010
  • The coupling between the transverse and longitudinal components of the channel electron motion in NMOS devices leads to a reduction in the barrier height. Therefore, this study theoretically investigates the effects of the in-plane velocity of channel electrons on the capacitance-voltage characteristics of nano NMOS devices under inversion bias. Numerical calculation via a self-consistent solution to the coupled Schrodinger equation and Poisson equation is used in the investigation. The results demonstrate that such a coupling largely affects capacitance-voltage characteristic when the in-plane velocity of channel electrons is high. The ballistic transport ensures a high in-plane momentum. It suggests that such a coupling should be considered in the quantum capacitance-voltage modeling in ballistic transport devices.

A study on the physical behavior of arc plasmas in transferred-type Torch (이행형 토치에서의 아크 플라즈마의 물리적 거동에 관한 연구)

  • 김외동;고광철;강형부
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.3
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    • pp.415-425
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    • 1996
  • This study presents an analytical method of solving the behaviors of arc plasma in a nozzle constricting transferred-type torch and purposes to obtain the basic data for the design of a plasma torch, which can be obtained from the temperature, pressure, velocities and voltage distributions. We have to solve some conservation equations simultaneously and need to know the exact thermal gas properties in order to obtain the correct behaviors of arc plasma. It is also necessary to give the relevant physical or geometric boundary conditions. For the simplicity of analysis, we assumed that (a) the plasma flow is laminar, (b)the local thermodynamic equilibrium, i.e. LTE, prevails over the entire arc column region. The electrode sheath effects were neglected and the nozzle area was excluded from the analysis by assuming that the current flow into the nozzle is zero. We solved the momentum transfer equation including the self-magnetic pinch effect, and obtained the temperature distribution from the energy conservation equation. From this temperature, we could get arc voltage distribution. (author). refs., figs., tabs.

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Combination of Preconditioned Krylov Subspace Methods and Multi-grid Method for Convergence Acceleration of the incompressible Navier-Stokes Equations (비압축성 Navier-Stokes 방정식의 수렴 가속을 위한 예조건화 Krylov 부공간법과 다중 격자법의 결합)

  • Maeng Joo Sung;Choi IL Kon;Lim Youn Woo
    • 한국전산유체공학회:학술대회논문집
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    • 1999.05a
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    • pp.106-112
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    • 1999
  • In this article, combination of the FAS-FMG multi-grid method and the Krylov subspace method was presented in solving two dimensional driven-cavity flows. Three algorithms of the Krylov subspace method, CG, CGSTAB(Bi-CG Stabilized) and GMRES method were tested with MILU preconditioner. As a smoother of the pressure correction equation, the MILU-CG is recommended rather than MILU-GMRES(k) or MILU-CGSTAB, since the MILU-GMRES(k) preconditioner has too much computation on the coarse grid compared to the MILU-CG one. As for the momentum equation, relatively cheap smoother like SIP solver may be sufficient.

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Numerical Study of slot injection behind a rearward-facing step into turbulent supersonic flow (초음속난류유동장에서 후향계단 후류의 측면제트분사에 대한 수치적 연구)

  • Kim J.R.;Kim J.S.
    • 한국전산유체공학회:학술대회논문집
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    • 2002.05a
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    • pp.17-22
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    • 2002
  • This paper describes numerical research on transverse jet behind rearward-facing step in turbulent supersonic flowfields without chemical reaction. The purpose of transverse jet behind rearward-facing step is to improve mixing of the fuel in the combustor. Two-dimensional unsteady flowfields generated by slot injection into supersonic flow are numerically simulated by integration of Navier-Stokes equation. Final-scale turbulence effects are modeled with two-equation $\kappa-\epsilon$ model. Numerical methods are modeled high-order upwind TVDschemes. A total of 4 cases are computed, comprising slot momentum flux ratios at four step heights downstream of the step. These numerical results are represented periodic phenomenon in unsteady flowfields.

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Flame Length Characteristics of $CH_4/O_2$ on Jet Diffusion Flame (제트 확산화염에서 $CH_4/O_2$의 화염길이 특성)

  • Kim, Ho-Keun;Lee, Sang-Min;Kim, Han-Seok;Ahn, Kook-Young;Kim, Young-Mo
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1328-1333
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    • 2004
  • The Flame length of $CH_4$ with the Oxidizer of air and $O_2$ has been measured respectively for the nozzle diameter of 1.6mm, 2.7mm, 4.4mm and 7.7mm. In all $CH_4$ flame on oxidizer of air and $O_2$. the flame length was independent of the initial jet diameter, dependent only on the flowrate in laminar flame regime, and in turbulent flame dependent on the initial jet diameter. Using correlation equation of Delichatsios, the flame length has been expected exactly for $CH_4/air$ flame, but has been underestimated for $CH_4/O_2$ flame. This paper has proposed correlation equation of $CH_4/O_2$ flame.

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Analysis of Hydraulic effect on Removing Side Overflow Type Structures in Woo Ee Stream Basin (우이천 유역의 횡단 월류형 구조물 철거에 의한 수리영향 분석)

  • Moon, Young-Il;Yoon, Sun-Kwon;Chun, Si-Young;Kim, Jong-Suk
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.687-690
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    • 2008
  • Currently, Stream flow analysis has been accomplished by one or two dimensional equations and was applied by simple momentum equations and fixed energy conservations which contain many reach uppermost limit. In this study, FLOW-3D using CFD(Computational Fluid Dynamics) was applied to stream flow analysis which can solve three dimensional RANS(Reynolds Averaged Navier-Stokes Equation) control equation to find out physical behavior and the effect of hydraulic structures. Numerical simulation accomplished those results was compared by using turbulence models such as $k-\varepsilon$, RNG(Renomalized Group Theory) $k-\varepsilon$ and LES(Large Eddy Simulation). Numerical analysis results have been illustrated by the turbulence energy effects, velocity of flow, water level pressure and eddy flows around the side overflow type structures at Jangwall bridge in urban stream.

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Characteristics of the Spray and Combustion in the Liquid Jet (수직 분사되는 연료제트의 분무 및 연소특성)

  • 윤현진;문수연;손창현;이충원
    • Journal of the Korea Institute of Military Science and Technology
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    • v.5 no.1
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    • pp.107-115
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    • 2002
  • In this paper, spray and combustion characteristics of a liquid-fueled ramjet engine were experimentally investigated. The spray penetrations were measured to clarify the spray characteristics of a liquid jet injected transversely into the subsonic vitiated airstream, which Is maintained a high velocity and temperature. The spray penetrations are increased with decreasing airstream velocity, increasing airstream temperature, and increasing air-fuel momentum ratio. To compensate our results of penetrations, the new experimental equation were modified from Inamura's equation. In the case of insufficient penetration, the combustion phenomenon in ram-combustor were unstable. Therefore, the sufficient penetration must be considered to make a stable flame.

Modelling the Leipzig Wind Profile with a (k-ε) model

  • Hiraoka, H.
    • Wind and Structures
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    • v.4 no.6
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    • pp.469-480
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    • 2001
  • The Leipzig Wind Profile is generally known as a typical neutral planetary boundary layer flow. But it became clear from the present research that it was not completely neutral but weakly stable. We examined whether we could simulate the Leipzig Wind Profile by using a ($k-{\varepsilon}$) turbulence model including the equation of potential temperature. By solving analytically the Second Moment Closure Model under the assumption of local equilibrium and under the condition of a stratified flow, we expressed the turbulent diffusion coefficients (both momentum and thermal) as functions of flux Richardson number. Our ($k-{\varepsilon}$) turbulence model which included the equation of potential temperature and the turbulent diffusion coefficients varying with flux Richardson number reproduced the Leipzig Wind Profile.