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

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A Computation of Viscous Flows on an Axisymmetric Body (축 대칭 물체 주위의 점성유동 계산)

  • Jae-Moon Lew
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.19-26
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    • 1991
  • The complete, fully-elliptic Reynolds-averaged Navier-Stokes equations have been solved using a two-layer model, in the $\kappa-\varepsilon$ turbulence model, for the axisymmetric body. Numerically generated boundary-fitted coordinate system and the finite analytic methods are used to solve the governing equations. Calculations are started after the middle body with given inlet conditions. The velocities and the turbulent quantities at the inlet section are specified by solving the boundary layer equations or by standard flat-plate boundary profiles. The effects of the inlet conditions on the solution are investigated.

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Numerical Simulation and Experiment of Pressure Pulsation in Kaplan Turbine

  • Yang, Wei;Wu, Shangfeng;Liu, Shuhong;Wu, Yulin
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.729-731
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    • 2008
  • Three-dimensional unsteady simulation using RNG $\kappa-\varepsilon$ turbulence model is used in full flow passage of model Kaplan turbine. Then the pressure pulsation is obtained. Monitoring data of pressure pulsation in the turbine is obtained through experiment and is compared with the numerical simulation. And a good coherence is shown between the simulation and the experiment. Then the regularity of the pressure pulsation s distribution and transmission in the turbine is discussed in detail.

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Investigation of the Prediction Performance of Turbulence and Combustion Models for the Turbulent Partially-premixed Jet Flame (난류 부분예혼합 제트화염에 대한 난류 및 연소모델의 예측성능 검토)

  • Kim, Yu Jeong;Oh, Chang Bo
    • Fire Science and Engineering
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    • v.28 no.4
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    • pp.35-43
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    • 2014
  • The prediction performance of 9 model sets, which combine 3 turbulent models and 3 combustion models, was investigated numerically for turbulent partially-premixed jet flame. The standard ${\kappa}-{\varepsilon}$ (SKE), Realizable ${\kappa}-{\varepsilon}$ (RKE) and Reynolds stress model (RSM) were used as a turbulence model, and the eddy dissipation concept (EDC), steady laminar flamelet (SLF) and unsteady laminar flamelet model (ULF) were also adopted as a combustion model. The prediction performance of those 9 model sets was evaluated quantitatively and qualitatively for Sandia D flame of which flame structure was measured precisely. The flame length was predicted as, from longest to shortest, RSM > SKE > RKE, and the RKE predicted the flame length of the jet flame much shorter than experiment. The flame temperature was over predicted by the combination of RSM + SLF or RSM + ULF while the flame length obtained by RSM + SLF and RSM + ULF was well agreed with the experiment. The combination of SKE + SLF and SKE + ULF predicts well the flame length as well as the temperature distribution. The SKE turbulence model was most superior to the other turbulent models, and SKE + ULF showed the best prediction performance for the structure of turbulent partially-premixed jet flame.

A Study on the Characteristics of the Flow around a Sunken Vessel (침선어초 주위의 유동특성에 관한 연구)

  • 양찬규;김현주
    • Journal of Ocean Engineering and Technology
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    • v.14 no.4
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    • pp.9-16
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    • 2000
  • This paper deals with the numerical and experimental study on the characteristics of the flow around a sunken vessel. Numerical simulation of the two dimensional steady flow on the midship section are carried out by the CFD code which is developed by using finite volume method and which includes the standard $textsc{k}$-$\varepsilon$ model with standard wall function. A experimental study is also carried out for the 1/100 scale model in circulating water channel. A velocity fields around the ship are measuremed by using particle image velocimetry technique. And the fluid forces acting on the ship hull by uniform current are measured by two axis load cell. The computed and measured velocity fields on the midship section are compared with each other in the view point of velocity dstribution and reattachement length, which shows good agreement in quality. The drag force on the vessel also showed the same tendency in both computational and experimental results. However, the quantitative disagreements are shown due to the three dimensional effect of the experiment. The result are used to determine the functional efficiency and stability of the vessel as a artificial reef.

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Applicability of Computational Fluid Dynamics on Industrial Ventilation Engineering (산업환기공학에 대한 전산유체역학의 응용가능성)

  • Ha, Hyun-Chul;Kim, Tae-Hyeung;Shim, Kwang-Jin
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.8 no.2
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    • pp.163-177
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    • 1998
  • Computational Fluid Dynamics(CFD) was applied to predict air flow around the hoods : circular hoods, square hoods, and push-pull hoods. A commercially available CFD software, CFD-ACE(Ver. 4.0), was tested, which is based on the finite volume method using the ${\kappa}-{\varepsilon}$ turbulence model. Numerical results were compared with the experimental, analytical and numerical results from other studies. CFD solutions showed an excellent agreement with the previous experimental and numerical results. It is promising that CFD techniques could be applied on the variety of complex problems in the industrial ventilation engineering.

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Numerical Analysis of Flow and Pollutant Dispersion over 2-D Bell Shaped Hills

  • Jung, Young-Rae;Park, Keun;Park, Warn-Gyu;Park, Ok-Hyun
    • Journal of Mechanical Science and Technology
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    • v.17 no.7
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    • pp.1054-1062
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    • 2003
  • The numerical simulations of flow and pollutant particle dispersion are described for two-dimensional bell shaped hills with various aspect ratios. The Reynolds-averaged incompressible Navier-Stokes equations with low Reynolds number $\kappa$-$\varepsilon$ turbulent model are used to simulate the flowfield. The gradient diffusion equation is used to solve the pollutant dispersion field. The code was validated by comparison of velocity, turbulent kinetic energy, Reynolds shear stress, speed-up ratio, and ground level concentration with experimental and numerical data. Good agreement has been achieved and it has been found that the pollutant dispersion pattern and ground level concentration have been strongly influenced by the hill shape and aspect ratio, as well as the location and height of the source.

Three-dimensional numerical simulation of turbulent flow around two high-rise buildings in proximity

  • Liu, Min-Shan
    • Wind and Structures
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    • v.1 no.3
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    • pp.271-284
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    • 1998
  • This paper uses the numerical simulation to investigate the interference effect of 3-D turbulent flow around two high rise buildings in proximity at the different relative heights, gaps, and wind velocities. The computer program used to carry out the simulation is based on the control volume method and the SIMPLEST algorithm. The ${\kappa}-{\varepsilon}$ model was used to simulate turbulence effects. Since the contracted flow between two adjacent buildings enhances the strength of vortex shedding from the object building, the pressure coefficient on each side wall of the object building is generally increased by the presence of apposed building. The effect is increased as the relative height or the gap between the two buildings decreases. The velocity on the vertical center line between two buildings is about 1.4 to 1.5 times the upstream wind velocity.

Comparison of Various Turbulence Models for the Calculation of Plane of Symmetry Flows (대칭단면에서의 난류모형 비교)

  • 손창현;최도형;정명균
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.5
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    • pp.1052-1060
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    • 1989
  • Using a vortex stretching invariant term, the two-layer k-.epsilon. model has been modified to account for the extra staining of turbulence due to the mean-flow convergence and divergence. The calculations of turbulent boundary layers in a plane of symmetry are compared for experimental cases which are an axisymmetric body at an incidence of 15.deg.. The comparisons between the calculations and experimental data show that additional modifications to the dissipation rate equation have brought the significant improvement to the prediction of plane of symmetry boundary layers in the strong mean-flow convergence and divergence.

Fluid Flow and Temperature Distribution in the Simplified Chamber (단순화한 챔버에서 유체의 흐름과 온도분포)

  • Han Hyun-Kak
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.6 no.4
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    • pp.302-308
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    • 2005
  • The temperature distribution and fluid flow in the chamber was investigated using FLUENT code. It provides comprehensive modeling capabilities for a wide range of incompressible or compressible and laminar or turbulent fluid flow problems. And a broad range of mathematical models for transport phenomena is combined with the ability to model for complex geometries. The geometry of the chamber was very complex, and a simplified model of the chamber was used in the simulation experiment. It was important that the temperature deviation of test site. This datum were provided in the improving the control algorithm. Using this algorithm, the results were with in $0.1^{\circ}C.$

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Numerical Optimization of A Multi-Blades Centrifugal Fan For High-Efficiency Design (원심다익송풍기의 고효율 설계를 위한 수치최적설계)

  • Seo, Seoung-Jin;Kim, Kwang-Yong
    • 유체기계공업학회:학술대회논문집
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    • 2003.12a
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    • pp.385-390
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    • 2003
  • Shape of a multi-blades centrifugal fan is optimized by response surface method based on three-dimensional Navier-Stokes analysis. For numerical analysis, Reynolds-averaged Wavier-Stokes equations with standard $k-{\varepsilon}$ turbulence model are transformed into non-orthogonal curvilinear coordinate system, and are discretized with finite volume approximations. Due to the large number of blades in this centrifugal fan, the flow inside of the fan is regarded as steady flow by introducing the impeller force models for economic calculations. Optimizations with and without constraints are carried out. Design variables, location of cur off, radius of cut off, expansion angle of scroll and width of impeller were selected to optimize the shapes of scroll and blades. Data points for response evaluations were selected by D-optimal design, and linear programming method was used for the optimization on the response surface. As a main result of the optimization, the efficiency was successfully improved. The correlation of efficiency with relative size of inactive zone at the exit of impeller is discussed as well as with average momentum fluxes in the scroll.

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