• Title/Summary/Keyword: K-$\varepsilon$ model

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Development and Validation of Spray Model of Coaxial Swirl Injector Installed in Liquid Propellant Rocket Engine (액체로켓엔진에 장착되는 스월 분사기의 분무 모델 개발 및 검증)

  • Moon, Yoon-Wan;Seol, Woo-Seok
    • Journal of the Korean Society of Propulsion Engineers
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    • v.11 no.5
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    • pp.37-50
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    • 2007
  • This study investigated the characteristics of spray generated by a liquid coaxial swirl injector used in a combustor of the liquid rocket engine. The linear stability analysis considered long and short wave was introduced in liquid sheet breakup. Through the hydrodynamic analysis the initial liquid sheet thickness spray angle and injection velocity were predicted. To evaluate the effect of turbulence model standard $k-{\varepsilon}$ and RNC $k-{\varepsilon}$ model were applied to numerical calculation and it was known that RNC $k-{\varepsilon}$ model was more applicable to predict spray characteristics. On the basis of this evaluation validation of the developed model was performed with swirl injector installed in LPRE and the predicted results of breakup length, spray angle, and SMD agreed well with experiments qualitatively and quantitatively.

Numerical Analyses on Wall-Attaching Offset Jet with Various Turbulent $k-{\varepsilon}$ Models and Skew-Upwind Scheme (다양한 $k-{\varepsilon}$ 난류모델과 Skew-Upwind 기법에 의한 단이 진 벽면분류에 대한 수치해석)

  • Seo, Ho-Taek;Boo, Jung-Sook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.2
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    • pp.224-232
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    • 2000
  • 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 turbulent flow of wall-attaching offset jet. For numerical convergence, this paper develops a method of slowly increasing the convective effect induced by skew-velocity in skew-upwind scheme (hereafter called Partial Skewupwind Scheme). Even though the method was simple, it was efficient in view of convergent speed, computer memory storage, programming, etc. The numerical results of all models show good prediction in first order calculations (i.e., reattachment length, mean velocity, pressure), while they show some deviations in ·second order (i.e., kinetic energy and its dissipation rate). Like the previous results obtained by upwind scheme, the streamline curvature modification results in better prediction, while the preferential dissipation modification does not.

Numerical Simulation of Time Evolution of Dense Underflows using k-$\varepsilon$ Model (k-$\varepsilon$ 난류모형을 이용한 하층밀도류의 시간에 따른 이동현상 수치모의)

  • Lee, Hea-Eun;Choi, Sung-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.159-163
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    • 2008
  • 본 연구에서는 2-방정식 난류모형을 이용하여 사면을 따라 발달하는 하층밀도류의 시간에 따른 이동현상에 대해 살펴보았다. 이를 위해 타원형의 편미분 방정식을 지배방정식으로 구성하고, 난류 완결을 위해 k-$\varepsilon$ 난류모형을 이용하였다. 개발된 모형을 이용하여 경사의 사면을 따라 진행하는 연속 유입 밀도류를 수치모의 하였다. 완전 발달된 하층밀도류의 거리에 따른 주흐름방향 유속 분포, 체적 농도를 계산하였고, 이를 기존의 실험결과와 비교하였다. 실험과 수치모의 결과가 잘 일치함을 확인하였다. 또한, 불연속 유입 밀도류의 시간에 따른 진행 상황을 수치모의하여 밀도류와 주변수체의 경계부에서 Kelvin-Helmholtz 불안정에 의한 와(渦)가 형성되는 것을 확인하였으며, 밀도류 선단부의 진행 속도와 주변수체의 유입에 대해 고찰하였다.

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Comparative Study on k-ε and k-ω Closures under the Condition of Turbulent Oscillatory Boundary Layer Flow at High Reynolds Number (높은 레이놀즈수를 가진 난류 진동 경계층에서의 k-ε과 k-ω 난류모형의 비교)

  • Son, Min-Woo;Lee, Guan-Hong;Lee, Kil-Seong;Lee, Du-Han
    • Journal of Korea Water Resources Association
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    • v.44 no.3
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    • pp.189-198
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    • 2011
  • The aim of this study is to compare k-$\varepsilon$ and k-$\omega$ closures under the condition of oscillatory layer flow at high Reynolds number. A one dimensional vertical model incorporated with flow momentum equations and turbulence models (k-$\varepsilon$ and k-$\omega$) is applied to the laboratory measurements in the turbulent oscillatory boundary layer. The numerical simulation reveals that both turbulence models calculate similar velocity profiles and turbulent kinetic energy (TKE). In addition, both deliver high accuracy under the condition of negligible spanwise pressure gradient. Therefore, it is recommended in this study to use k-$\varepsilon$ closure, of which numerical coefficients have been calibrated from many studies, for the cases of straight channel, estuary, and coastal environment where the spanwise pressure gradient is not significant.

Optimal Design of Blowing Plates to Minimize the Freezing Phenomena in the Freezer of a Side-by-side Refrigerator (양문 여닫이형 냉장고 냉동실 결빙 최소화를 위한 토출구형상 최적설계)

  • Kwak, S.M.;Lee, Y.H.;Kum, J.S.;Kim, N.S.;Kim, S.B.;Lee, Y.W.
    • Journal of Power System Engineering
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    • v.7 no.2
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    • pp.17-22
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    • 2003
  • As side-by-side refrigerators came into existence, there has been a growing concern about the free%ins-up of the vital equipment in a walk-in freezer. Due to a bad performance, customers are experiencing too much frustration. In order to minimize the freezing phenomena, the numerical simulation has been performed on the characteristics of cold air flow in a side-by-side refrigerator. The flow field has been simulated with a standard $k-\varepsilon$ turbulent model and a SIMPLE algorithm based on the finite volume method. Through the results of the analysis of the pattern of cold air flow, finally the shape of outlet for cold air flow was modified. The present model was compared with the modified model. The latter was better than the former in minimizing the freezing phenomena.

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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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Effects of Radiation Heat Transfer on the Fire in an Atrium (아트리움 공간에서 화재발생시 복사열전달의 영향 분석)

  • Yoon, Kyung-Beom;Chang, Hee-Chul;Kim, Tae-Kuk
    • Fire Science and Engineering
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    • v.21 no.4
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    • pp.18-24
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    • 2007
  • The purpose of this study is focussed on the numerical predictions of temperature distribution by radiation heat transfer in atrium fire using the field fire model and the CCRHT-3D code. This code uses standard $k-{\varepsilon}$ turbulent model with SIMPLE algorithm and weighted sum of gray gases model regrouping(WSGGM-RG). The WSGGM-RG calculates radiative properties on the reduced computational loads while reserving the accuracy. The numerical results show that lower temperature distributions on the wall and the top ceiling wall can be obtained by considering radiative heat transfer. The temperature on the top ceiling wall can be an important parameter in predicting the operating condition of the sprinkler head.

Numerical and experimental simulation of the wind field in the EXPO '98 area

  • Ferreira, A.D.;Sousa, A.C.M.;Viegas, D.X.
    • Wind and Structures
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    • v.1 no.4
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    • pp.337-349
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    • 1998
  • A numerical and experimental study was performed for the wind flow field in one area, comprising a group of several pavilions separated by passageways, of the EXPO '98 - a World Exposition (Lisbon, Portugal). The focus of this study is the characterization of the flow field to assess pedestrian comfort. The predictions were obtained employing the Reynolds averaged Navier-Stokes equations with the turbulence effects dealt with the ${\kappa}-{\varepsilon}$ RNG model. The discretization of the differential equations was accomplished with the control volume formulation in a Cartesian coordinate system, and an advanced segregated procedure was used to achieve the link between continuity and momentum equations. The evaluation of the overall numerical model was performed by comparing its predictions against experimental data for a square cylinder placed in a channel. The predicted values, for the practical geometry studied, are in a good agreement with the experimental data, showing the performance and the reliability of the ${\kappa}-{\varepsilon}$ RNG model and suggesting that the numerical simulation is a reliable methodology to provide the required information.

Numerical Simulation of Turbulent Flow in n Wavy-Walled Channel (파형벽면이 있는 채널 내의 난류유동에 대한 수치해석)

  • Park, Tae-Seon;Sung, Hyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.5
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    • pp.655-667
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    • 2003
  • Turbulent flow over a fully-developed wavy channel is investigated by the nonlinear $k-\varepsilon-f_\mu$ model of Park et al.(1) The Reynolds number is fixed at $Re_{b}$ = 6760 through all wave amplitudes and the wave configuration is varied in the range of $0\leq\alpha/\lambda\leq0.15$ and $0.25\leq{\lambda}/H\leq4.0$. The predicted results for wavy channel are validated by comparing with the DNS data of Maa$\beta$ and Schumann(2) The model performance Is shown to be generally satisfactory. As the wave amplitude increases, it is found that the form drag grows linearly and the friction drag is overwhelmed by the form drag. In order to verify these characteristics, a large eddy simulation is performed for four cases. The dynamic model of Germane et al.(3) is adopted. Finally, the effects of wavy amplitude on separated shear layer are scrutinized.

Influence of Compressibility Modification to k-ε Turbulence Models for Supersonic Base Flow

  • Jeon, Sang-Eon;Park, Soo-Hyung;Byun, Yung-Hwan;Kwon, Jang-Hyuk
    • International Journal of Aeronautical and Space Sciences
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    • v.13 no.2
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    • pp.188-198
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    • 2012
  • An improvement to the k-${\varepsilon}$ turbulence model is presented and is shown to lead to better agreement with data regarding supersonic base flows. The improvement was achieved by imposing a grid-independent realizability constraint in the Launder-Sharma k-${\varepsilon}$ model. The effects of compressibility were also examined. The numerical results show that the modified Launder-Sharma model leads to some improvement in the prediction of the velocity and turbulent kinetic energy profiles. Compressibility corrections also lead to better agreement in both the turbulent kinetic energy and the Reynolds stress profiles with the experimental data.