• Title/Summary/Keyword: k-$\varepsilon$ Turbulent Flow

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Study of the Secondary Flow Effect on the Turbulent Flow Characteristics in Fuel Rod Bundles (핵연료봉 주위의 난류 유동장 특성에 미치는 이차 유동의 영향에 대한 연구)

  • Lee, Kye-Bock;Jang, Ho-Cheol;Lee, Sang-Keun
    • Nuclear Engineering and Technology
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    • v.26 no.3
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    • pp.345-354
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    • 1994
  • Numerical Predictions including secondary flows have been Performed for fully developed turbulent single-phase rod bundle flows. The k-$\varepsilon$ turbulence model(two equation model) for the isotropic eddy viscosity, together with an algebraic stress model for generating secondary velocities, enabled the prediction of mean axial velocities, secondary velocities, and turbulent kinetic energy and turbulent stresses. Comparisons with experiment hate shown that the influence of secondary motion on mean flow and turbulence is dearly evident. The convective transport effects of secondary flow on the velocity field have been identified.

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A Study of Applicability of a RNG $k-\varepsilon$ Model (RNG $k-\varepsilon$ 모델의 적용성에 대한 연구)

  • Yang, Hei-Cheon;Ryou, Hong-Sun;Lim, Jong-Han
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.9
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    • pp.1149-1164
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    • 1997
  • In this study, the applicability of the RNG k-.epsilon. model to the analysis of the complex flows is studied. The governing equations based on a non-orthogonal coordinate formulation with Cartesian velocity components are used and discretized by the finite volume method with non-staggered variable arrangements. The predicted results using the RNG k-.epsilon. model of three complex flows, i.e., the flow over a backward-facing step and a blunt flat plate, the flow around a 2D model car are compared to these from the standard k-.epsilon. model and experimental data. That of the unsteady axisymmetric turbulent flow within a cylinder of reciprocating model engine including port/valve assembly and the spray characteristics within a chamber of direct injection model engine are compared to these from the standard k-.epsilon. model and experimental data. The results of reattachment length, separated eddy size, average surface pressure distribution using the RNG k-.epsilon. model show more reasonable trends comparing with the experimental data than those using the modified k-.epsilon. model. Although the predicted rms velocity using the modified k-.epsilon. model is lower considerably than the experimental data in incylinder flow with poppet valve, predicted axial and radial velocity distributions at the valve exit and in-cylinder region show good agreements with the experimental data. The spray tip penetration predicted using the RNG k-.epsilon. model is more close to the experimental data than that using the modified k-.epsilon. model. The application of the RNG k-.epsilon. model seems to have some potential for the simulations of the unsteady turbulent flow within a port/valve-cylinder assembly and the spray characteristics over the modified k-.epsilon. model.

Development and Evaluation of RANS based Turbulence Model for Viscoelastic Fluid (점탄성 유체해석용 RANS 기반 난류 모델 개발 및 검증)

  • Ro, Kyoung-Chul
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.3
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    • pp.545-550
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    • 2017
  • When the systolic blood pressure is high, intermittent turbulence in blood flow appears in the aorta and carotid artery with stenosis during the systolic period. The turbulent blood flow is difficult to analyze using the Newtonian turbulence model due to the viscous characteristics of blood flow. As the shear rate is increased, the blood viscosity decreases by the viscoelastic properties of blood and a drag reduction phenomenon occurs in turbulent blood flow. Therefore, a new non-Newtonian turbulent model is required for viscoelastic fluid and hemodynamics. The main aims of this study were to develop a non-Newtonian turbulence model using the drag reduction phenomenon based on the standard $k-{\varepsilon}$ turbulent model for a general non-Newtonian fluid. This was validated with the experimental data and has a good tendency for non-Newtonian turbulent flow. In addition, the computation time and resources were lower than those of the low Reynolds number turbulent model. A modified turbulent model was used to analyze various turbulent blood flows.

Modelling the Leipzig Wind Profile with a (k-ε) model

  • Hiraoka, H.
    • Wind and Structures
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    • v.4 no.6
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    • pp.469-480
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    • 2001
  • The Leipzig Wind Profile is generally known as a typical neutral planetary boundary layer flow. But it became clear from the present research that it was not completely neutral but weakly stable. We examined whether we could simulate the Leipzig Wind Profile by using a ($k-{\varepsilon}$) turbulence model including the equation of potential temperature. By solving analytically the Second Moment Closure Model under the assumption of local equilibrium and under the condition of a stratified flow, we expressed the turbulent diffusion coefficients (both momentum and thermal) as functions of flux Richardson number. Our ($k-{\varepsilon}$) turbulence model which included the equation of potential temperature and the turbulent diffusion coefficients varying with flux Richardson number reproduced the Leipzig Wind Profile.

A New k-$\varepsilon$ Model for Prediction of Transitional Boundary-Layer Under Zero-Pressure Gradient (압력 구배가 없는 평판 천이 경계층 유동을 예측하기 위한 k-$\varepsilon$모형의 개발)

  • Baek, Seong-Gu;Im, Hyo-Jae;Jeong, Myeong-Gyun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.3
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    • pp.305-314
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    • 2001
  • A modified model is proposed for calculation of transitional boundary layer flows. In order to develop the eddy viscosity model for the problem, the flow is divided into three regions; namely, pre-transition region, transition region and fully turbulent region. The pre-transition eddy-viscosity is formulated by extending the mixing length concept. In the transition region, the eddy-viscosity model employs two length scales, i.e., pre-transition length scale and turbulent length scale pertaining to the regions upstream and the downstream, respectively, and a universal model of stream-wise intermittency variation is used as a function bridging the pre-transition region and the fully turbulent region. The proposed model is applied to calculate three benchmark cases of the transitional boundary layer flows with different free-stream turbulent intensity (1%∼6%) under zero-pressure gradient. It was found that the profiles of mean velocity and turbulent intensity, local maximum of velocity fluctuations, their locations as well as the stream-wise variation of integral properties such as skin friction, shape factor and maximum velocity fluctuations are very satisfactorily predicted throughout the flow regions.

Numerical Computations of Turbulent Flow in a $90^{\circ}$ Curved Duct Using a Modified Extended $k-\varepsilon$ Turbulence Model (수정된 Extendel $k-\varepsilon$ 난류모델을 사용한 $90^{\circ}$곡관 내의 난류유동에 관한 수치해석적 연구)

  • 정수진;김태훈;조진호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.3
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    • pp.139-146
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    • 1996
  • An extended $k-\varepsilon$ tuebulence model modified by considering the streamline curvature effect and standard $k-\varepsilon$ turbulence model have been applied for three dimensional analysis of turbulece flow in a $90^{\circ}$ curved duct. By comparision of the results with the experimental data, the modified extended $k-\varepsilon$ model gave closer agreement with experimental data than the results from standard $k-\varepsilon$ model owing to an extra time scale of the production rate and parameter describing effects of streamline curvature included in the dissipation rate equation.

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Flow Analysis in the Fuel Chamber of Engine by Applying Turbulent Models (난류모형을 적용한 엔진 연료실의 유동해석)

  • Kwag Seung-Hyun
    • Journal of Navigation and Port Research
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    • v.30 no.5 s.111
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    • pp.369-374
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    • 2006
  • The flow analysis was made by applying the turbulent models in the complicated fuel chamber of engine. The $k-\varepsilon,\;k-\omega$, Spalart-Allmaras and reynolds stress models are used in which the hybrid grid is applied for the simulation. The velocity vector, the pressure contour, the change of residual along the iteration number, and the dynamic head are simulated for the comparison of four example cases. Computational results are compared with others. For the code's validation, 2-D bodies were simulated in advance by predicting the drag coefficients.

Numerical Analysis of Fluid Flow in Freezer Duct of Refrigerator (냉장고의 냉동실내 냉기 덕트 내부의 유동해석)

  • 엄윤섭;부정숙
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.4
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    • pp.509-514
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    • 2000
  • A numerical study has been performed to design duct parameters in the freezer of a domestic refrigerator. The visualization results of FDM analysis using the standard k-$\varepsilon$ model with inlet boundary conditions modelled in this paper show good agreements with the experimental ones in prediction overall flow characteristics. Dominant vortex flows are found in the left upper and right lower corners, while there exists large turbulent kinetic energy around the fan and right upper side of the fan. It, in turn, has effects on the performance and noise. It is recommended to locate the outlet far away from the fan in order to reduce the noise level.

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Evaluation of Turbulent Models on the Mixing Flow Structure of $45^{\circ}$ Impinging Jet by Two Round Jets (두 원형분류에 의한 $45^{\circ}$ 충돌분류의 흔합유동구조에 대한 난류모델 평가)

  • Kim, J.K.;Oh, S.H.
    • Journal of Power System Engineering
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    • v.13 no.5
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    • pp.34-39
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    • 2009
  • In this paper, the CFD analysis using various turbulent models has been performed to evaluate which type of turbulent models can predict well the mixing flow structure of $45^{\circ}$ impinging round jet. This CFD analysis has been carried out through the commercial Fluent software. As a result, any of turbulent models cannot predict the experimental results definitely all over the flow range. However, as compared with the experimental results, the turbulent model of realizable(RLZ) k-$\varepsilon$ only predicts well in the limited range between X/$X_0=1.1$ and X/$X_0=2.0$.

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Numerical Analysis of Turbulent Flows in the Scroll Volute of Centrifugal Compressor (벌류트 압축기내의 난류유동 수치해석)

  • Kwag, Seung-Hyun
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.6
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    • pp.681-686
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    • 2007
  • The flow analysis was made by applying the turbulent models in the scroll volume of centrifugal compressor. The $k-{\varepsilon}.\;k-{\omega}$, Spalart-Allmaras and reynolds stress models are used in which the hybrid grid is applied for the simulation. The velocity vector the Pressure contour. the change of residual along the iteration number. and the dynamic head are simulated by solving the Navier-Stokes equations for the comparison of four example cases.