• Title/Summary/Keyword: $ {\kappa}-{\varepsilon}$ Model

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A Study on Applicability of Turbulence Models for Unsteady Turbulent Flow with Temperature Variation (온도변화를 수반한 비정상 난류유동장에 대한 난류모델의 적용성에 관한 연구)

  • 유근종;전원대
    • Journal of the Korean Society of Propulsion Engineers
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    • v.6 no.1
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    • pp.1-11
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    • 2002
  • The suitable turbulence model is found to be required in the course of establishing a proper analysis methodology for thermal stripping phenomena which are shown in strong temperature variation area such as reactors and propulsion devices. Three different turbulence models of $\kappa$-$\varepsilon$ model, modified $\kappa$-$\varepsilon$ model, and full Reynolds stress(FRS) model, are applied to analyze unsteady turbulent flows with temperature variation. Three test cases are selected for verification. These are vertical jet flows with water and sodium, and parallel jet flow with sodium. Analysis yields the conclusion that 3-D computation with FRS betters others. However, modified modeling is required to improve its heat transfer characteristic analysis. Further analysis is performed to find momentum variation effects on temperature distribution. It is found that the momentum increase results increase of fluid mixing and magnitude of temperature variation.

Numerical Simulation and PIV Measurement on the Internal Flow in a Centrifugal Mini Pump at Low Flow Rate Conditions

  • Yuan, Hui-Jing;Shao, Jie;Cao, Guang-Jun;Liu, Shu-Hong;Wu, Yu-Lin
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.775-780
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    • 2008
  • This paper reports on the internal flow of a centrifugal mini pump working at the low flow rate operating conditions. The RNG $\kappa-\varepsilon$ turbulence model was employed to simulate the three-dimensional turbulent flow in the pump. To examine and certify the simulation results, a transparent acrylic centrifugal mini pump model which is suitable for PIV measurement has been developed. The tongue region and the passages region between blades were investigated using PIV. In order to eliminate the effect of refraction on the area closed to the wall and increase the measurement accuracy, the fluorescent particles were scatted into the working fluid with the tracing particles. It is found from the calculation and PIV measurement results that there is a large area of recirculation flow near the tongue at low flow rate operating conditions. The computationally predicted water head using the $\kappa-\varepsilon$ turbulence model at low flow rate operating conditions are in very good agreement with the experimentally measured water head and the mean velocity distributions at investigation area obtained by PIV and calculation showed a satisfactory agreement as well. Meanwhile, the results of PIV measurements show that the flow status in one passage is different to another. And for capturing the internal flow detail information, the $\kappa-\varepsilon$ turbulence model is not very suitable.

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Numerical Simulations of Discontinuous Density Currents using k-ε Model (k-ε 모형을 이용한 불연속 유입 밀도류의 수치모의)

  • Lee, Hea Eun;Choi, Sung Uk
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.3B
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    • pp.231-237
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    • 2009
  • This study presents a numerical model to simulate density currents developing two dimensionally. The ${\kappa}-{\varepsilon}$ model is used for the turbulence closure. Elliptic flow equations are solved by the finite volume method. In order to investigate the applicability of the numerical model, discontinuous density currents are simulated numerically. The vortices due to the instability at the interface are simulated, showing a good agreement with the experimental visualizations in the literature. It is also investigated that the transition from slumping phase to inertial phase occurs when a bore generated at the end wall overtakes the front. However, the propagation of the density current is retarded compared with the experimental results. Two-dimensional modeling seems to have an effect on underestimating the front velocity of the density current.

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 STUDY ON COOLING CHARACTERISTICS OF MULTIPLE IMPINGING JETS INCLUDING THE EFFECT OF TURBULENCE (난류 효과를 포함한 다중 충돌 제트의 냉각 특성에 대한 수치적 연구)

  • Jeon, J.H.;Son, G.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.321-328
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    • 2009
  • Free surface impinging jet on a moving plate, which is applicable to cooling of hot metals in a steel-making process, is investigated numerically by solving the Navier-Stokes equations in the liquid and gas phases. The free surface of liquid-gas interface is tracked by a level-set method which is improved by incorporating the ghost fluid approach based on a sharp-interface representation. The method is further improved by employing a nonequilibrium $\kappa-\varepsilon$ turbulence model including the effect of low Reynolds number. The computations are made to investigate the effects of the nozzle pitch, moving velocity of plate and jet velocity on the interfacial motion and the associated flow and temperature fields.

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A Numerical Analysis of Buyoyant Surface Jet with Turbulence Models (난류모형을 이용한 表層密度噴流의 수치해석)

  • 최한기;중십계
    • Water for future
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    • v.29 no.2
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    • pp.221-233
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    • 1996
  • To investigate the hydrodynamic characteristics of a two-dimensional buoyant surface jet, the most important factors of the numerical analysis are the evaluation of the free surface and the turbulence transportation under the stratification. In present study, a numeriacal simulation model used with the semi-implicit method for pressure-linked equations (SIMPLE), the non-hydrostatic approximation and the algebraic stress model (ASM) is applied to investigate the vertical structure of internal flow hydrodynamically. The ASM enables to take account of anisotropy of turbulence, the damping effects of the density interface, and the free surface on the turbulence structure accurately. The ASM tested produces better agreement than the $\kappa-\varepsilon$ model with measurements by Nakatsuji (1984) on the flow development and turbulence structure. Applicability of the ASM to a two-dimensional buoyant surface jet is examined through comparison with experimental data.

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A Study on Flow and Creation and Dissipation of Vorticity around Rectangular Floating Breakwater (부방파제의 유동과 와의 생성 및 소멸에 관한 연구)

  • Yoon, Jung-Sung;Kim, Myoung-Kyu;Jung, Kwang-Hyo;Kim, Ga-Ya
    • Journal of Ocean Engineering and Technology
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    • v.22 no.3
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    • pp.24-33
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    • 2008
  • In this study, flow and creation and dissipation of vorticity around rectangular floating breakwater is investigated both experimentally and numerically. The PIV system(Particle image velocimetry) is employed to obtain the velocity field in the vorticity of rectangular structure. The numerical model, combined with ${\kappa}-{\varepsilon}$ turbulence model and the VOF method based on RANS equation, is used to analyze the turbulence structure. In the results of this study, the vorticity is found around conner of rectangular structure at all time domain, and creation and dissipation of vorticity are closely related to wave period. Separation points of phase of vortex due to flow separation for longer period waves are faster then for shorter period waves.

Some Validation of Nonlinear ${\kappa}-{\varepsilon}$ Models on Predicting Noncircular Duct Flows

  • Myong H. K.
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.43-45
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    • 2003
  • Nonlinear relationship between Reynolds stresses and the rate of strain for nonlinear${\kappa}-{\varepsilon}$ turbulence models is validated theoretically by using the boundary layer assumptions against the turbulence­driven secondary flows in noncircular ducts and then the prediction performance for several nonlinear models is evaluated numerically through the application to the turbulent flow in a square duct.

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Numerical Analysis of Turbulent Flow and Heat Transfer in a Rectangular Duct with a 180° Bend Degree (직사각단면을 갖는 180°곡관내의 난류 유동및 열전달에 관한 수치해석적 연구)

  • Choi, Y.D.;Moon, C.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.6 no.4
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    • pp.325-336
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    • 1994
  • A numerical simulation of velocity and temperature fields and Nusselt number distributions is performed by using the algebraic stress model (ASM) for the velocity profiles and low Reynolds number ${\kappa}-{\varepsilon}$ model and the algebraic heat flux model(AHFM) for turbulent heat transfer in a $180^{\circ}$ bend with a constant wall heat flux. In the low Reynolds number ${\kappa}-{\varepsilon}$ model, turbulent Prandtl number is modified by considering the streamline curvature effect and the non-equilibrium effect between turbulent kinetic energy production and dissipation rate. Every heat flux term presented in the transport equation of turbulent heat flux is reduced to algebraic expressions in a way similar to algebraic stress model. Also. in the wall region, low Reynods number algebraic heat flux model(AHFM) is applied.

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INFLUENCE OF THE REALIZABILITY CONDITION ON TURBULENT SEPARATED FLOW SIMULATIONS (압축성 박리 유동에서 Realizability 조건의 영향)

  • Park, S.H.;Sa, J.H.;Kim, J.W.
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.142-147
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    • 2007
  • The realizability condition has been applied to modern turbulence models, Simulations are performed to compare ${\kappa}-{\omega}$ turbulence models imposing the realizability condition. An improvement to the ${\kappa}-{\varepsilon}$ turbulence model is also presented and shown to lead to better agreement with data for supersonic base flows. The improvement is achieved by imposing a grid-independent realizability constraint in the Launder-Sharma ${\kappa}-{\varepsilon}$ model. Numerical results for several test problems show a critical role of the realizability constraint in the prediction of separated flows.

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