• Title/Summary/Keyword: k-$\varepsilon$모델

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A Numerical Study on Flow and Heat Transfer Characteristics for an Oblique Impingement Jet Using $k-{\varepsilon}-\bar{\upsilon{'}^2}$ Model ($k-{\varepsilon}-\bar{\upsilon{'}^2}$모델을 이용한 경사진 충돌제트의 유동 및 열전달 특성에 대한 수치해석적 연구)

  • Choe, Yeong-Gi;Choe, Bong-Jun;Lee, Jeong-Hui
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.9
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    • pp.1183-1192
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    • 2001
  • The numerical simulation has been conducted for the investigation of flow and heat transfer characteristics of an oblique impingement jet injected to a flat plate. The finite volume method was used to discretize the governing equations based on the non-orthogonal coordinate with non-staggered variable arrangement. The $textsc{k}$-$\varepsilon$-ν(sup)'2 turbulence model was employed to consider the consider the anisotropic flow characteristics generated by the impingement jet flow. The predicted results were compared with the experimental data and those of the standard $textsc{k}$-$\varepsilon$ turbulence model. The results of the $textsc{k}$-$\varepsilon$-ν(sup)'2 model showed better agreement with the experimental data than those of the standard $textsc{k}$-$\varepsilon$ model. In order to get the optimum condition, the flow and temperature fields were calculated with a variation of inclined angle($\alpha$=30$^{\circ}$~90$^{\circ}$) and the distance between the jet exit and impingement plate-to-diameter (L/D=4~10) at a fixed Reynolds number(Re=20,000). For a small L/D, the near-peak Nusselt numbers were not significantly effected by the inclined angle. The near-peak Nusselt numbers were not significantly affected by the L/D in the case of a large $\alpha$. The overall shape of the local Nusselt numbers was influenced by both the jet orifice-to-plate spacing and the jet angle.

A Numerical Analysis of Flow through Open Channel Constrictions using Turbulence Model (난류모델을 이용한 개수로 급축소부 흐름의 수치해석)

  • Choe, Heung-Sik
    • Journal of Korea Water Resources Association
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    • v.30 no.3
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    • pp.201-210
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    • 1997
  • To analyze the flow through open-channel constrictions using $\kappa$-$\varepsilon$ turbulence mode, a numerical model is developed. The simulated results agree well with existing experimental data which attributes to the adequate input of turbulent eddy-viscosity by turbulence model. A stream function and velocity distributions enable the analysis of flow characteristics at the downstream of constriction. Turbulent eddy viscosities over channel are spatially varied with stream pattern. For the evaluation of rapidly varied flow, the eddy-viscosity input by turbulence model is required instead of the empirical effective viscosity to solve a shallow water equation.

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Assessment of Turbulence Models with Compressibility Correction for Large Flow Separation in a Supersonic Convergent-Divergent Rectangular Nozzle (강한 박리 유동을 동반한 초음속 수축-확장 사각 노즐 유동에 적합한 난류 모델과 압축성 보정 모델의 평가)

  • Lee, Juyong;Shin, Junsu;Sung, Hong-Gye
    • Journal of Aerospace System Engineering
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    • v.12 no.5
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    • pp.40-47
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    • 2018
  • The objective of this study is to investigate the turbulence models with compressibility correction for large separation-flow in a supersonic convergent-divergent rectangular nozzle. As turbulence models, Yang and Shih's Low-Re $k-{\varepsilon}$ model, Mener's $k-{\omega}$ SST model and Wilcox's $k-{\omega}$model were evaluated. In order to get a significant compressible effects, Sarkar and Wilcox compressibility correction models were applied to the turbulence models respectively. Also, the simulation results were compared with experimental data. The turbulence model with compressibility correction model improves both of shock position and pressure recovery, but deteriorates the length of Mach disk.

Molecular Simulation Studies for Penetrable-Sphere Model: II. Collision Properties (침투성 구형 모델에 관한 분자 전산 연구: II. 충돌 특성)

  • Kim, Chun-Ho;Suh, Soong-Hyuck
    • Polymer(Korea)
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    • v.35 no.6
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    • pp.513-519
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    • 2011
  • Molecular simulations via the molecular dynamics method have been carried out to investigate the dynamic collision properties of penetrable-sphere model fluids. The collision frequencies, the mean free paths, the angle distributions of the hard-type reflection and the soft-type penetration, and the effective packing fractions are computed over a wide range of the packing fraction ${\phi}$ and the repulsive energy ${\varepsilon}^*$. The soft-type collisions are dominated for lower repulsive energy systems, while the hardtype collisions for higher repulsive energy systems. Very interestingly, the ratio of the soft-type (or, the hard-type) collision frequency to the total collision frequency is directly related with the Boltzmann factor of acceptance (or rejection) probabilities in the canonical ensemble Monte Carlo calculations. Such dynamic collision properties are shown to be restricted for highly repulsive and dense systems of ${\varepsilon}^*{\geqq}3.0 $and ${\phi}{\geqq}0.7$, indicating the cluster forming structures in the penetrable-sphere model.

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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Multiphase Simulation of a Liquid Jet in a Lab-scale Ramjet Combustor (모형 램젯 연소기에서 액체제트의 다상유동 해석)

  • Oh, Jeong-Seog;Lee, Won-Nam;Lee, Jong-Geun;Santavicca, Dominique A.
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2010.11a
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    • pp.386-392
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    • 2010
  • The multiphase simulation of a liquid jet in a lab-scale ramjet combustor with a plain orifice type injector was studied with a commercial CFD tool, a FLUENT program. The objectives of the current study are to analysis the breakup characteristics of a hexane liquid jet in a cross flow and to derive the correlation between flow conditions and drag force coefficients in a test section. From the result of a numerical simulation, we concluded that a DPM and Realizable $k-{\varepsilon}$ model with an enhanced wall treatment were available to simulate the multiphase flow simulation. And the calculated distribution of a hexane vapor concentration was well-matched with experimental results.

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Development of a Model for Fluid Analysis of Water Jet Using Automatic Javan(Salted-dry Seaweeds) Dryer Machine (전자동 자반건조기 제작에 이용할 Water Jet의 유동해석 모델)

  • Kim, Ill-Soo;Park, Chang-Eun;Jeung, Young-Jae;Son, Joon-Sik;Nam, Ki-Woo
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.7 no.5
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    • pp.53-58
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    • 1998
  • This paper concentrates on the development of a computational design program to determine nozzle size in water jet, combing the numerical optimization technique with the flow analysis code. To achieve the above objective, a two-dimensional model was developed for investigating the fluid flow in water jet and calculating the velocity and pressure distributions. The mathematical formulation as a standard ${k}-\varepsilon$ model was solved employing a general thermo fluid-mechanics computer program, PHOENICS code, which is based on the Semi-Implicit Method Pressure Linked Equations(SIMPLE) algorithm. The developed code was applied to water jet design to determine the nozzle size, and investigated the effect of the change of nozzle location. Calculated results showed that the flow pattern is not changed as the change of nozzle location.

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Development of the Combined Typhoon Surge-Tide-Wave Numerical Model Applicable to Shallow Water 1. Validation of the Hydrodynamic Part of the Model (천해에 적용가능한 태풍 해일-조석-파랑 수치모델 개발 1. 해수유동 모델의 정확성 검토)

  • Chun, Je-Ho;Ahn, Kyung-Mo;Yoon, Jong-Tae
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.1
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    • pp.63-78
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    • 2009
  • This paper presents the development of dynamically combined Typhoon generated surge-tide-wave numerical model which is applicable to shallow water. The newly developed model is based on both POM (Princeton Ocean Model) for the surge and tide and WAM (WAve Model) for wind-generated waves, but is modified to be applicable to shallow water. In this paper which is the first paper of the two in a sequence, we verified the accuracy and numerical stability of the hydrodynamic part of the model which is responsible for the simulation of Typhoon generated surge and tide. In order to improve the accuracy and numerical stability of the combined model, we modified algorithms responsible for turbulent modeling as well as vertical velocity computation routine of POM. Verification of the model performance had been conducted by comparing numerical simulation results with analytic solutions as well as data obtained from field measurement. The modified POM is shown to be more accurate and numerically stable compare to the existing POM.

Experiment on water turbulent natural convection for safety improvement of nuclear power plant (원자력발전소 안전성 평가 향상을 위한 물 자연대류 검증 실험)

  • Kim, Donghyuk;Ryu, Nayoung;Kim, Man-Bae;Park, Chang-Yong;Kim, Jungwoo
    • Journal of the Korean Society of Visualization
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    • v.14 no.3
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    • pp.46-50
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    • 2016
  • The objective of the present study is to perform experiments for water filled cavity heated and cooled from the side at $Ra=8.5{\times}108$. This experiment can provide validation database of the standard k-${\varepsilon}$ turbulence model for single-phase turbulent natural convection which has been regarded as one of the important phenomena in nuclear safety. For the natural convection inside a cavity, temperature and velocity were obtained by thermometry and PIV (Particle Image Velocimetry) methods. These results would be used for validation of standard k-${\varepsilon}$ turbulence model.

Numerical Analysis of Turbulent Flow Through Turbine Flow Meter (터빈유량계의 난류유동에 대한 수치해석)

  • Kim, J.B.;Park, K.A.;Ko, S.
    • Proceedings of the KSME Conference
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    • 2000.11b
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    • pp.573-578
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    • 2000
  • Flow through turbine flow meter is simulated by solving the incompressible Navier-Stockes equations. The solution method is based on the pseudocompressibility approach and uses an implicit-upwind differencing scheme together with the Gauss-Seidel line relaxation method. The equations are solved steadily in rotating reference frames and the centrifugal force and tile Coriolis force are added to the equation of motion. The standard $k-{\varepsilon}$ model is employed to evaluate turbulent viscosity. At first the stability and accuracy of the program is verified with the flow through a square duct with a $90^{\circ}$ bend and on the flat plate.

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