• Title/Summary/Keyword: {\varepsilon}$ model

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Three-Dimensional Numerical Simulation on a Circular-to-Rectangular Transition Duct (Circular-to-Rectangular Transition Duct 에서의 3차원 유동장에 관한 연구)

  • Cho Soo-Yong;Son Ho-Jae
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.55-61
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    • 1998
  • The purpose of this study is to compare the predictive behaviors of the extended $k-{\varepsilon}$ turbulence model and the standard $k-{\varepsilon}$ turbulence model. Grid dependency is tested with the H-type grid and the O-type grid. Computations have been performed for a circular-to-rectangular transition duct. Numerical results for several sections along the streamwise have been obtained to compare with experimental results. The Reynolds number is 390,000 based on the bulk velocity at the inlet. The computed axial velocity contours, transverse velocity profiles, static pressure contours, peripheral skin friction coefficient, and peripheral wall static pressure distributions have been compared with experimental results. The computed results obtained with the extended $k-{\varepsilon}$ turbulence model show better agreement with experimental results than those obtained with the standard $k-{\varepsilon}$ turbulence model. Comparing to the computed results obtained with the H-type grid and O-type grid, those with H-type grid agree well with experimental results.

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Study on Solvent Mediated Phase Transformation Kinetics of Hexanitrohexaazaisowurtzitane(HNIW) (용매를 매체로 한 Hexanitrohexaazaisowurtzitane(HNIW)의 상전이 속도에 관한 연구)

  • 김준형;임유진
    • Journal of the Korean Society of Propulsion Engineers
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    • v.4 no.4
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    • pp.9-17
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    • 2000
  • The crystal growth and dissolution rates were calculated by solving a model equation, which involved the dissolution of the metastable phase($\beta$-HNIW) and growth of the stable phase($\varepsilon$-HNIW), together with the mass balance equation. The model has been successfully used to simulate available kinetic data for the $\beta$$\longrightarrow$$\varepsilon$ polymorphic transformation via a solution phase. From the effectiveness factor based on the two-step model, it was found that the surface integration contribution to the process was comparatively small, and a diffusion dependency decreased with an increase of the mass fraction of chloroform in the mixed solvents of ethyl acetate and chloroform. Appling these kinetics in process simulation allowed for the prediction of the product size of $\varepsilon$-HNIW.

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Numerical Simulation of Square Cylinder Near a Wall with the ε -SST Turbulence Model (ε -SST 난류 모델을 적용한 벽면 근처 정사각주 유동장의 수치 해석)

  • Lee,Bo-Seong;Kim,Tae-Yun;Park,Yeong-Hui;Lee,Dong-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.8
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    • pp.1-7
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    • 2003
  • The numerical simulation of flow-filed around a square cylinder near a wall with $\varepsilon$-SST turbulence model is carried out in this study. The newly suggested $\varepsilon$-SST turbulence model that modifies the original SST turbulence model is proved to yield more accurate results than the other 2-equation turbulence models in large separation region around a bluff body. Therefore, $\varepsilon$-SST turbulence model can be effectively applied for predicting the flow-fields with large separation. And it is found that vortex shedding is suppressed below the critical gap height, the Strouhal number is affected by the gap height and the wall boundary layer thickness.

Optical Constants and Dispersion Parameters of CdS Thin Film Prepared by Chemical Bath Deposition

  • Park, Wug-Dong
    • Transactions on Electrical and Electronic Materials
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    • v.13 no.4
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    • pp.196-199
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    • 2012
  • CdS thin film was prepared on glass substrate by chemical bath deposition in an alkaline solution. The optical properties of CdS thin film were investigated using spectroscopic ellipsometry. The real (${\varepsilon}_1$) and imaginary (${\varepsilon}_2$) parts of the complex dielectric function ${\varepsilon}(E)={\varepsilon}_1(E)+i{\varepsilon}_2(E)$, the refractive index n(E), and the extinction coefficient k(E) of CdS thin film were obtained from spectroscopic ellipsometry. The normal-incidence reflectivity R(E) and absorption coefficient ${\alpha}(E)$ of CdS thin film were obtained using the refractive index and extinction coefficient. The critical points $E_0$ and $E_1$ of CdS thin film were shown in spectra of the dielectric function and optical constants of refractive index, extinction coefficient, normal-incidence reflectivity, and absorption coefficient. The dispersion of refractive index was analyzed by the Wemple-DiDomenico single-oscillator model.

Molecular Simulation Studies for Penetrable-Sphere Model : I. Equation of State (침투성 구형 모델에 관한 분자 전산 연구: I. 상태 방정식)

  • Kim, Chun-Ho;Suh, Soong-Hyuck
    • Polymer(Korea)
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    • v.35 no.4
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    • pp.325-331
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    • 2011
  • Molecular simulations via the molecular dynamics method have been carried out to an equation of state of penetrable-sphere model fluids over a wide range of packing fraction ${\phi}$ and finite repulsive energy ${\varepsilon}^*$. The resulting simulation data are compared to theoretical predictions from the two limiting cases of high- and low-penetrability approximations available in the literature. A good agreement between theoretical and simulation results is observed ill the case of ${\varepsilon}^*$ <3.0. However, for the highly repulsive energy systems of ${\varepsilon}^*{\geqq}3.0$, where the potential energy barrier is more than two times higher than the particle kinetic energy, a poor agreement is found due to the clustering formation and the non-continuum size effects in the dense systems of ${\phi}{\geqq}0.7$ and ${\varepsilon}^*$=6.0.

Prediction of Three Dimensional Turbulent flows around a MIRA Vehicle Model (MIRA Vehicle Model 주위의 3차원 난류유동 예측)

  • 명현국;진은주
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.5
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    • pp.86-96
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    • 1998
  • A numerical study has been carried out of three-dimensional turbulent flows around a MIRA reference vehicle model both with and without wheels in computation. Two convective difference schemes with two k-$\varepsilon$ turbulence models are evaluated for the performance such as drag coefficient, velocity and pressure fields. Pressure coefficients along the surfaces of the model are compared with experimental data. The drag coefficient, the velocity and pressure fields are found to change considerably with the adopted finite difference schemes. Drag forces computed in the various regions of the model indicate that design change decisions should not rely just on the total drag and that local flow structures are important. The results also indicate that the RNG model with the QUICK scheme predicts fairly well the tendency of velocity and pressure fields and gives more reliable drag coefficient rather than the other cases.

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Prediction of Fully Developed Turbulent Flow in a Square Duct with Nonlinear Low-Reynolds-Number κ-ε Models (비선형 저레이놀즈수 κ-ε 난류모델에 따른 정사각형 덕트내 완전 발달된 난류유동 예측)

  • Myong, Hyon-Kook,
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.6
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    • pp.821-827
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    • 2003
  • Fully developed turbulent flow in a square duct is numerically predicted with two nonlinear low-Reynolds-number ${\kappa}-{\varepsilon}$ models. Typical predicted quantities such as axial and secondary velocities, turbulent kinetic energy and Reynolds stresses are compared in detail with each other. It is found that the nonlinear low-Reynolds-number ${\kappa}-{\varepsilon}$ model adopted in a commercial code is unable to predict accurately duct flows involving turbulence-driven secondary motion with the prediction level of secondary flows one order less than that of the experiment.

Numeical Analysis on wall-Attaching Offset Jet with Various Turbulent $\kappa-\varepsilon$ Models (다양한 $\kappa-\varepsilon$ 난류모델에 의한 단이 진 벽면 분류에 대한 수치해)

  • 윤순현
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.2
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    • pp.216-225
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    • 1999
  • Four turbulent $k-{varepsilon}$models(i.e standard model modified models with streamline curvature modification and/or preferential dissipation modification) are applied in order to analyze the tur-bulent flow of wall-attaching offset jet. The upwind numerical scheme was adopted in the present analyses. The streamline curvature modification results in slightly better prediction while the preferential dissipation modification does not. The obtained analytic results will be used as refer-ences for further study regarding Reynolds stress model. In addition this paper introduced a method of increasing nozzle outlet velocity gradually for numercal convergence. Even though the method was simple it was efficient in view of convergent speed CPU running time computer memory storage programming etc.

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Numerical Simulation of Mean Flows and Turbulent Structures of Partly-Vegetated Open-Channel Flows using the Nonlinear k-ε Model (비선형 k-ε 모형을 이용한 부분 식생 개수로 흐름의 평균흐름 및 난류구조 수치모의)

  • Choi, Seongwook;Choi, Sung-Uk;Kim, Taejoon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.3
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    • pp.813-820
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    • 2014
  • This study presents a numerical modeling of mean flow and turbulence structures of partly-vegetated open-channel flows. For this, Reynolds-averaged Navier-Stokes equations with vegetation drag terms are solved numerically using the non-linear k-${\varepsilon}$ model. The numerical model is applied to laboratory experiments of Nezu and Onitsuka (2001), and simulated results are compared with data from measurement and computations by Kang and Choi's (2006) Reynolds stress model. The simulation results indicate that the proposed numerical model simulates the mean flow well. Twin vortices are found to be generated at the interface between vegetated and non-vegetated zones, where turbulence intensity and Reynolds stress show their maximums. The model simulates the pattern of the Reynolds stress well but under-predicts the intensity of Reynolds stress slightly.

Numerical Simulation of Flow and Heat Transfer Characteristics of Impinging Jet Using $k-{\varepsilon}-{\overline{v^{'2}}}$ Model ($k-{\varepsilon}-{\overline{v^{'2}}}$난류 모델을 이용한 충돌 제트의 유동 및 열전달 특성에 관한 수치해석적 연구)

  • Choi, Bum-Ho;Lee, Jung-Hee;Choi, Young-Ki
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.2
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    • pp.204-213
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    • 2000
  • This study deals with jet impingement, which is extensively used in the process industries to achieve intense heating, cooling or drying rates and also widely employed as a test flow for turbulent models due to its complex flow configuration, on a flat plate by numerical methods. In this calculation, the finite volume method was employed to solve the Navier-stokes equation based on the non-orthogonal coordinate with non-staggered variable arrangement. To get a better understanding for the fluid flow and heat transfer characteristics of the turbulent jet impingements, $k-{\varepsilon}-{\overline{v^{'2}}}$ turbulent model was adapted and compared with the experimental data and the result of standard $k-{\varepsilon}$ turbulent model. Numerical calculations were carried out with various flow rates, nozzle to plate distances. In the case of the axisymmetric jet impingement on a flat plate, $k-{\varepsilon}-{\overline{v^{'2}}}$ turbulent model showed better agreement with the experimental data than the standard $k-{\varepsilon}$ turbulent model in the prediction of the mean velocity profiles, the turbulent velocity profiles. the turbulent shear stress and the heat transfer rate. The highest heat transfer rate can be obtained when the impingement occurs within the potential core..