• Title/Summary/Keyword: k-${\varepsilon}$ 난류모형

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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.

Comparative Evaluation of Determination Methods of Vertical Eddy Viscosity for Computation of Wind-Induced Flows (풍성류 계산을 위한 연직 와점성계수 산정방법의 비교평가)

  • 정태성;이길성;오병철
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.3
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    • pp.205-215
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    • 1994
  • A 3-dimensional numerical model of wind-induced flows has been established. and comparative evaluation of determination methods of vertical eddy viscosity has been performed. The model uses turbulence models to calculate vertical eddy viscosity. The examined methods arp 0-equation model of functional form, 1-equation model of turbulence kinetic energy, and two 2-equation models ($textsc{k}$-$\varepsilon$ and $textsc{k}$-ι models). The evaluation includes the verification tests against experimental data for wind-driven current On a closed one-dimensional channel and a recirculating one-dimensional channel. Comparative study of turbulence models has shown that the proper distribution of turbulence scale is parabolic and the eddy viscosity is depending strongly on mixing depth due to wind.

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Numerical Simulation of In-Cylinder Flow for the Axi-symmetric Model Engine by Low Reynolds Number k-ε Turbulence Model (저레이놀즈수 k-ε 난류모형에 의한 축대칭 모형기관 실린더내 유동의 수치해석)

  • Kim, W.K.;Choi, Y.D.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.1
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    • pp.38-50
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    • 1994
  • To improve the efficiency of internal combustion engines, it is necessary to understand mixed air-fuel in-cylinder flow processes accurately at intake and compression strokes. There is experimental and numerical methods to analyse in-cylinder flow process. In numerical method, standard $k-{\varepsilon}$ model with wall function was mostly adopted in in-cylinder flow process. But this type model was not efficiently predicted in the near wall region. Therefore in the present study, low Reynolds number $k-{\varepsilon}$ model was adopted near the cylinder wall and standard $k-{\varepsilon}$ model in other region. Also QUICK scheme was used for convective difference scheme. This study takes axisymmetric reciprocating model engine motored at 200rpm with a centrally located valve, incorporated 60 degree seat angie, and flat piston surface excluding inlet port. Because in-cylinder flow processes are undergoing unsteady and compressible, averaged cylinder pressure and inlet velocity at arbitrary crank angle are determined from thermodynamic analytic method and incylinder states at that crank angle are iteratively determined from the numerical analytic method.

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Assessment and Validation of Turbulence Models for the Optimal Computation of Supersonic Nozzle Flow (초음속 노즐 유동의 최적해석을 위한 난류모델의 평가와 선정)

  • Kam, Ho Dong;Kim, Jeong Soo
    • Journal of the Korean Society of Propulsion Engineers
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    • v.17 no.1
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    • pp.18-25
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    • 2013
  • Assessment and validation of RANS turbulence models are conducted for the optimal analysis of supersonic converging-diverging nozzle through the comparison between computational results and experimental data. One/two equation turbulence closures such as Spalart-Allmaras, RNG k-${\varepsilon}$, and k-${\omega}$ SST are employed to simulate the two-dimensional nozzle flow. Computational results with the turbulence models mentioned fairly well predict shock structure of the nozzle-inside and pressure distribution along the wall. Especially, SST model among the employed ones shows the best agreement to experimental results.

A Nonlinear Low-Reynolds-Number k -$\varepsilon$ Model for Turbulent Separated and Reattaching Flows (난류박리 및 재부착 유동의 해석을 위한 비선형 저레이놀즈수 k -$\varepsilon$ 난류모형의 개발)

  • 박태선;성형진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.2051-2063
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    • 1995
  • An improved version of nonlinear low-Reynolds-number k-.epsilon. model is developed. In this model, the limiting near-wall behavior and nonlinear Reynolds stress representations are incorporated. Emphasis is placed on the adoption of Ry(.iden. $k^{1}$2/y/.nu.) instead of $y^{[-10]}$ (.iden. $u_{{\tau}/y/{\nu}}$) in the low-Reynolds-number model for predicting turbulent separated and reattaching flows. The non-equilibrium effect is examined to describe recirculating flows away from the wall. The present model is validated by doing the benchmark problem of turbulent flow behind a backward-facing step. The predictions of the present model are cross-checked with the existing measurements and DNS data. The model performance is shown to be generally satisfactory.

Numerical Simulations of Cellular Secondary Currents in Open-Channel Flows using Non-linear k-ε Model (비선형 k-ε 모형을 이용한 개수로 흐름에서의 격자형 이차흐름 구조 수치모의)

  • Kang, Hyeongsik;Choi, Sung-Uk;Park, Moonhyeong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.6B
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    • pp.643-651
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    • 2008
  • In the present paper, turbulent open-channel flows over longitudinal bedforms are numerically simulated. The Reynolds- averaged Navier-Stokes equations in curvilinear coordinates are solved with the non-linear $k-{\varepsilon}$ model by Speziale( 1987). First, the developed model is applied to rectangular open channel flows for purposes of model validation and parameter sensitivity studies. It is found that the parameters $C_D$ and $C_E$ are important to the intensity of secondary currents and the level of turbulent anisotropy, respectively. It is found that the non-linear $k-{\varepsilon}$ model can hardly reproduce the turbulence anisotropy near the free surface. However, the overall pattern of the secondary currents by the present model is seen to coincide with measured data. Then, numerical simulations of turbulent flows over longitudinal bedforms are performed, and the simulated results are compared with the experimental data in the literature. The simulated secondary currents clearly show upflows and downflows over the ridges and troughs, respectively. The numerical results of secondary currents, streamwise mean velocity, and turbulence structures compare favorably with the measured data. However, it is observed that the secondary currents towards the troughs were significantly weak compared with the measured data.

An Application of k-$\varepsilon$ Turbulence Model to Predict How a Rectangular Obstacle with Heat Flux Affects Air Flow in An Experimental Animal House (실험축사의 공기유동예측을 위한 k-$\varepsilon$ 난류모형 적용)

  • Choi, Hong-Lim;Kim, Hyeon-Tae
    • Journal of Bio-Environment Control
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    • v.1 no.1
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    • pp.72-83
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    • 1992
  • 우리 나라 축사는 생산효율 제고를 위하여 대형화, 밀폐화, 고밀도화, 자동화 경향이 뚜렷하다. 대형의 밀폐된 고밀도 축사는 쾌적한 실내환경을 전제로 하기 때문에 기계적으로 실내환경을 적절히 제어하지 않으면 안된다. 제한된 공간에 먼지, 병원성 미생물, 유해기체, 수분이나 열의 과도한 집적은 생산과 재생산효율에 심각한 영향을 미친다. 그러므로 축사내 생산주체인 가축과 작업인이 쾌적한 실내환경에서 생산활동을 할 수 있도록 열적, 화학적/생물학적 환경을 물리적으로 제어하지 않으면 안된다. 본 연구는 실험축사내 가축이 일정한 열을 발생할 때 실내공기의 유동형태를 예측하기 위해서 수행하였다. 이 연구의 결과를 실내환경제어를 위한 환기시스템 책략 개발의 기초자료로 활용할 수 있다. 실험축사내의 공기유동을 예측하기 위해 Body-Fitted Coordinate(BFC)의 격자배열과 k-$\varepsilon$ 난류모형 및 SIMPLE계열 solution scheme을 사용하였으며, 예측의 유효성 검정은 Boon(1978)의 실험결과를 이용하였다. 예측한 공기유동의 형태와 실험한 공기유동의 형태를 비교한 결과 대체로 만족할만한 결과를 얻었다. 그러나 유입공기의 온도가 1$0^{\circ}C$인 경우의 공기유동은 실험유동형태와 약간의 차이가 있었다. 즉, 실험에서는 수평슬롯으로 유입 된 공기가 바로 아래로 굴절되어 유동하였으나, 예측의 결과는 일정 거리로 수평방향으로 유동하다가 아래로 굴절하였다. 이런 유동의 차이는 k-$\varepsilon$ 난류모형 자체가 경험적으로 부력에 민감하게 반응않는 결함이 원인이 될 수도 있으며, 실험의 부적절한 수행이 원인이 될 수도 있다. 이 유동의 경우 Reynolds 수가 3,000정도의 난류이며, 완전발달유동 (fully-developed flow)이므로 관성력 (inertia force)이 부력 (buoyancy force)보다 커, 일정거리 수평으로 유동하다가 아래로 굴절할 수도 있기 때문이다. 앞으로 이를 규명하기 위한 보다 깊이 있는 연구가 이루어져야 할 것이다.

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Numerical Modeling of Free Surface Flow over a Broad-Crested Rectangular Weir (사각형 광정위어를 통과하는 자유수면 흐름 수치모의)

  • Paik, Joongcheol;Lee, Nam Joo
    • Journal of Korea Water Resources Association
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    • v.48 no.4
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    • pp.281-290
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    • 2015
  • Numerical simulations of free surface flow over a broad-crested rectangular weir are conducted by using the volume of fraction (VOF) method and three different turbulence models, the k-${\varepsilon}$, RNG k-${\omega}$ and k-${\omega}$ SST models. The governing equations are solved by a second-order accurate finite volume method and the grid sensitivity study of solutions is carried out. The numerical results are evaluated by comparing the solutions with experimental and numerical results of Kirkgoz et al. (2008) and some non-dimensionalized experimental results obtained by Moss (1972) and Zachoval et al. (2012). The results show that the present numerical model can reasonably reproduce the experimental results, while three turbulent models yield different numerical predictions of two distinct zones of flow separation, the first zone is in front of the upstream edge of the weir and the second is created immediately behind the upstream edge of the weir where the flow is separated to form the separation bubble. The standard k-${\varepsilon}$ model appears to significantly underestimate the size of both separation zones and the k-${\omega}$ SST model slightly over-estimates the first separation zone in front of the weir. The RNG k-${\varepsilon}$ model predicts both separation zones in overall good agreement with the experimental measurement, while the k-${\omega}$ SST model yields the best numerical prediction of separation bubble at the upstream edge of the weir.