• Title/Summary/Keyword: modified $\varepsilon$ model

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Application of the E-$\varepsilon$turbulence numerical model to a flow and dispersion around triangular ridge( I ) (E-$\varepsilon$모델을 이용한 삼각 봉우리 주변의 유동과 확산 수치해석(I))

  • 정상진
    • Journal of Korean Society for Atmospheric Environment
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    • v.10 no.2
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    • pp.116-123
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    • 1994
  • The E- $\varepsilon$ turbulence numerical model was applied to a flow around triangular ridge in neutral boundary layer. Scale of cavity region, mean velocity, Reynolds stress and eddy diffusivity were investigated. The height of cavity region was in satifactory agreement with the wind tunnel data while the length of cavity region was underestimated. The man wind velocities outside the cavity region were well Predicted by the model, however in cavity region the mean wind velocities of wind tunnel data were larger than the model results Reynolds stress of cavity region was overestimated by the model. The eddy diffusivity of wake region was strongly modified under the influence of triangular ridge. The local minimum of the eddy diffusivity was occured in the lee of the ridge top.

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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 analysis of drag reduction of turbulent flow in a pipe (원관내 난류의 저항감소현상에 대한 수치해석)

  • 홍성진;김광용;최형진
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.11 no.6
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    • pp.733-739
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    • 1999
  • A modified low-Re $k-\varepsilon$ model is used for the calculation of drag-reducing turbulent flow by polymer injection in a pipe. With the viscoelastic model, molecular viscosity in the definition of turbulent viscosity is related to elongations viscosity of the solution to account for the effects of drag reduction. Finite volume method is used for the discretization, and power-law scheme is used as a numerical scheme. Computed dimensionless velocity profiles are in good agreements with the experimental data in case of low drag reductions. However, in case of high drag reductions, they deviate largely from the measurements in the central zone of the flow field.

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Numerical analysis of continuous casting process with electromagnetic brake (연속주조공정에서의 EMBR의 수치해석)

  • 김현경;유흥선;유수열
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.11 no.6
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    • pp.766-773
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    • 1999
  • A numerical analysis has been performed solidification problem using the fixed grid-enthalpy method with enthalpy-porosity relation. A modified standard $k-\varepsilon$ model was applied to describe the influence of turbulent flow. Computational procedures are based on the finite volume method and the non-staggered grid system. Comparisons with the different three experimental results show that applying a modified standard $k-\varepsilon$model in mushyzone is better than the previous computation results. This paper includes another EMBR's influences such as change of velocity field, Increasement of temperature and dispersion of flow out of nozzle into the flow field. These EMBR's influences are compared to case without EMBR.

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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.

Flamelet Modeling of Structures and $NO_{x}$ Formation Charateristics in Bluff-Body stabilized Methanol Flames (메탄올 Bluff-Body 난류 화염내의 화염구조 및 $NO_{x}$ 생성 특성에 대한 수치적 연구)

  • Lee, Joon-Kyu;Kim, Seoung-Ku;Kim, Yong-Mo;Kim, Sae-Won
    • Proceedings of the KSME Conference
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    • 2001.06d
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    • pp.37-42
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    • 2001
  • This paper computes the bluff-body stabilized jet and flame. This study numerically investigates the nonpremixed $C_{2}H_{4}-air$ jet for the nonreacting case and the nonpremixed $CH_{3}OH-air$ turbulent flames for the reacting case using the laminar flamelet model on modified KIVA2 code. And this study predicts $NO_{x}$ formation characteristics using Eulerian Particle Flamelet Model. In the present study, the turbulent combustion model is applied to analyze both nonreacting and reacting case. And both standard $k-{\varepsilon}$ model and modified $k-{\varepsilon}$ model are used in nonreacting case. Calculations are compared with experimental data in terms of velocity, mixture fraction, mixture fraction Root Mean Square and Temperature. The present model correctly predicts the essential features of flame structures and $NO_{x}$ formation characteristics in the bluff-body stabilized flames.

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Numerical Analysis for a Swirling Confined Non-Premixed Flame with Modified Lagrangian model (수정 Lagrangian model을 이용한 선회 비 예혼합 화염에 대한 수치적 연구)

  • Min, Byoung-Hyouk;Kim, Ho-Young;Chung, Jin-Taek
    • 한국연소학회:학술대회논문집
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    • 2002.06a
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    • pp.113-122
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    • 2002
  • The purpose of this study is to verify that the modified Lagrangian model can predict temperature, flow and scalar fields in the high temperature recirculation region of swirling confined diffusion flame. In the meantime numerical results from EBU and Equilibrium PDF models as well as experimental results are compared with those from the modified Lagrangian model. Adaption of three different turbulent models were accompanied with this procedure. Look-up table of the ignition characteristic time scale which is one of important factors of the Lagrangian model was referred to the 11-step reduced mechanism. Eventually, results with the Lagrangian model show a good accordance with experimental results, which shows the validity of this model. Results from Chen's model differ from those of the others. Numerical results of ${\widetilde{k}$ show significant deviation from experimental results for three models.

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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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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.

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.