• 제목/요약/키워드: $k-\epsilon$ Turbulence Model

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재순환 영역이 있는 축대칭 난류 확산화염의 구조 (II) (The Structure of Axisymmeric Turbulent Diffusion Flame(II))

  • 이병무;신현동
    • 대한기계학회논문집
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    • 제10권1호
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    • pp.70-77
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    • 1986
  • 본 논문에서는 재순환 영역이 존재하는 축대칭 난류 확산화염 구조예측의 전 단계로서, 이미 발표된 바있는 필자의 실험 데이터를 바탕으로 하여 등온유동에 서의 난류모델을 검토한다. 유선의 곡률이 큰 유동에 2방정식 모델을 적용함은 큰 결점을 보완한 수정-2방정식모델을 채택하여 실험결과와 비교, 검토하여 모델의 타당성을 조사하였다.

평행 벽 제트-노즐 형상에서 난류모델별 막냉각 예측 능력 (Capability of Turbulence Modeling Schemes on Estimating the Film Cooling at Parallel Wall Jet-Nozzle Configuration)

  • 이준;김유
    • 한국추진공학회지
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    • 제13권1호
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    • pp.10-18
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    • 2009
  • 본 연구에서는 평행 벽 제트-노즐 형상의 막냉각 수치해석에 적합한 난류모델을 선정하고자 하였다. 현재 실험을 하기 위한 전 단계이므로, 먼저 유사한 참고 형상에 대해 Standard $k-{\epsilon}$ 모델과 RNG $k-{\epsilon}$ 모델, SST $k-{\omega}$ 모델, 그리고 RSM 모델 등 다양한 난류모델을 적용하였고, Near-wall 처리 방법으로서 SST $k-{\omega}$ 모델을 제외하고는 Standard wall functions와 Enhanced wall functions 등 2종류를 각각의 모델에서 사용하였으며, 실험값과 비교하여 보다 적합한 난류모델을 선정하고자 하였다. 나아가 2차원 축대칭으로 평행 벽 제트-노즐 단일 슬롯 형상에 대해 기선정한 난류모델을 적용하여 막냉각 특성을 살펴보았다. 유사 참고 형상에 대한 해석 결과 Standard $k-{\epsilon}$ 모델 및 RSM 모델이 거의 비슷한 성능을 보여주었으나 수렴성이 우수한 Standard $k-{\epsilon}$ 모델이 선정되었다. 또한 Standard wall functions를 사용하는 것보다 Enhanced wall functions를 사용하는 것이 더 좋은 결과를 보여주었다. 나아가 평행 벽 제트-노즐 단일 슬롯 형상에 적용한 결과 물리적으로 타당한 막냉각 특성을 보여주었다. 선정된 모델 및 해석방법론을 이용하여 평행 벽 제트-노즐 다단 슬롯 형상에 대한 막냉각 해석을 수행할 예정이며, 관련 결과는 추후 실험 예비해석 방법론으로 활용할 예정이다.

축류송풍기의 삼차원 유동장 해석 (Three-dimensional analysis of the flow through an axial-flow fan)

  • 김광용;김정엽;정덕수
    • 대한기계학회논문집B
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    • 제21권4호
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    • pp.541-550
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    • 1997
  • Computational and experimental investigations on the three-dimensional flowfield through an automotive cooling fan are carried out in this work. Steady, incompressible, three-dimensional, turbulent flow through a rotating axial-flow fan is analyzed with Reynolds averaged Navier-Stokes equations and standard k-.epsilon. turbulence model. The governing equations are discretized with finite-volume approximations in non-orthogonal curvilinear coordinates. Computational static pressures on the casing wall agree well with the experimental data which are measured in this work. And, they are sensitive to the change of tip clearance. The flowfield is not significantly affected by the thickness of the blade. The k-.omega. model gives the static pressure rise on the casing wall which is similar to that with the k-.epsilon. model.

2차원 단순 물체의 초공동 유동에 대한 수치해석 (Numerical Analysis of Supercavitating Flows of Two-Dimensional Simple Bodies)

  • 이현배;최정규;김형태
    • 대한조선학회논문집
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    • 제50권6호
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    • pp.436-449
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    • 2013
  • In this paper, a numerical analysis is carried out to study the characteristics of supercavitating flows and the drag of relatively simple two-dimensional and axisymmetric bodies which can be used for supercavity generation device, cavitator, of a high-speed underwater vehicle. In order to investigate the suitability of numerical models, cavity flows around the hemispherical head form and two-dimensional wedge are calculated with combinations of three turbulence models(standard $k-{\epsilon}$, realizable $k-{\epsilon}$, Reynolds stress) and two cavitation models(Schnerr-Sauer, Zwart-Gerber-Belamri). From the results, it is confirmed that the calculated cavity flow is more affected by the turbulence model than the cavitation model. For the calculation of steady state cavity flows, the convergence in case of the realizable $k-{\epsilon}$ model is better than the other turbulence models. The numerical result of the Schnerr-Sauer cavitation model is changed less by turbulence model and more robust than the Zwart-Gerber-Belamri model. Thus the realizable $k-{\epsilon}$ turbulence model and the Schnerr-Sauer cavitation model are applied to calculate supercavitating flows around disks, two dimensional $10^{\circ}$ and $30^{\circ}$ wedges. In case of the disk, the cavitation number dependences of the cavity size and the drag coefficient predicted are similar to either experimental data or Reichardt's semi-empirical equations, but the drag coefficient is overestimated about 3% higher than the Reichardt's equation. In case of the wedges, the cavitation number dependences of the cavity size are similar to experimental data and Newman's linear theory, and the agreement of the cavity length predicted and Newman's linear theory becomes better as decreasing cavitation number. However, the drag coefficients of wedges agree more with experimental data than those of Newman's analytic solution. The cavitation number dependences of the drag coefficients of both the disk and the wedge appear linear and simple formula for estimating the drag of supercavitating disks and wedges are suggested. Consequently, the CFD scheme of this study can be applied for numerical analysis of supercavitating flows of the cavitator and the cavitator design.

저 레이놀즈수 $\kappa$-$\varepsilon$psilon.모형에서 DNS 자료에 의한 $\varepsilon$방정식의 다중 생성률 모형 개발 (Development of Multiple Production $\varepsilon$ Equation Model in Low Reynolds Number $\kappa$-$\varepsilon$ Model with the Aid of DNS Data)

  • 신종근;최영돈
    • 대한기계학회논문집B
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    • 제20권1호
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    • pp.304-320
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    • 1996
  • A multiple production .epsilon. equation model was developed in the low Reynolds number $\kappa$-$\varepsilon$ model with the aids of DNS data. We derived the model theoretically and avoided the use of empirical correlations as much as possible in order for the model to have generality in the prediction of complex turbulent flow. Unavoidable model constants were, however, optimized with the aids of DNS data. All the production and dissipation models in the $\varepsilon$ equation were modified with damping functions to satisfy the wall limiting behavior. A new $f_{\mu}$ function, turbulent diffusion and pressure diffusion model for the k and .epsilon. equations were also proposed to satisfy the wall limiting behavior. By, computational investigation on the plane channel flows, we found that the multiple production model for .epsilon. equation could improve the near wall turbulence behavior compared with the standard production model without the complicated empirical modification. Satisfication of the wall limiting conditions for each turbulence model term was found to be most important for the accurate prediction of near wall turbulence behaviors.

상용코드를 이용한 원심펌프 임펠러 유동평가 (Flow Evaluations of Centrifugal Pump Impeller Using Commercial Code)

  • 심창열;홍순삼;강신형
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2000년도 유체기계 연구개발 발표회 논문집
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    • pp.285-292
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    • 2000
  • Numerical calculation is applied to centrifugal pump at design condition by using commercial code STAR-CD and Tascflow, and these results are compared with experimental data at impeller outlet. Numerical analysis is also performed by changing turbulence model and discretization scheme at design condition using Tascflow. Turbulence model and discretization scheme used to Tascflow are k-$\epsilon$, k-$\omega$ turbulence model and upwind, modified linear profile scheme. W;th the same turbulence model and discretization scheme, two results of STAR-CD and Tascflow are very similar. But there is significant difference in numerical results near hub and shroud of impeller with different kinds of turbulent model and discretization scheme at design condition. And with k- $\omega$ turbulence model and modified linear profile scheme, it is showed that numerical results are very similar to experimental results of impeller outlet

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약한 역압력구배의 난류유동장 해석을 위한 저레이놀즈수 k-ε 모형 개발 (Development of Low Reynolds Number k-ε Model for Prediction of a Turbulent Flow with a Weak Adverse Pressure Gradient)

  • 송경;조강래
    • 대한기계학회논문집B
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    • 제23권5호
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    • pp.610-620
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    • 1999
  • Recently, numerous modifications of low Reynolds number $k-{\epsilon}$ model have boon carried out with the aid of DNS data. However, the previous models made in this way are too intricate to be used practically. To overcome this shortcoming, a new low Reynolds number $k-{\epsilon}$ model has boon developed by considering the distribution of turbulent properties near the wall. This study proposes the revised a turbulence model for prediction of turbulent flow with adverse pressure gradient and separation. Nondimensional distance $y^+$ in damping functions is changed to $y^*$ and some terms modeled for one dimensional flow in $\epsilon$ equations are expanded into two or three dimensional form. Predicted results by the revised model show an acceptable agreement with DNS data and experimental results. However, for a turbulent flow with severe adverse pressure gradient, an additive term reflecting an adverse pressure gradient effect will have to be considered.

부력에 의한 난류 열대류의 혼성 난류모델 (A Hybrid Turbulence Model for Prediction of Buoyancy-Driven Turbulent Thermal Convection Flow)

  • 김태규;성형진
    • 대한기계학회논문집
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    • 제17권8호
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    • pp.2069-2078
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    • 1993
  • The buoyancy-driven turbulent thermal convection is predicted using an anisotropic hybrid turbulence model, which is incorporated with a low Reynolds k-.epsilon. turbulence model and an anisotropic buoyant part of algebraic stress model(ASM). The numerical predictions are compared with the Davidson's model,(1) the full ASM and the experimental results of Cheesewright et al.(2) All the models are shown to predict good agreements with the experiments for the averaged turbulence quantities. It is found that the effect of an anisotropic part on the Reynolds stress and the turbulent heat fluxes is substantial. In this study, the present hybrid model gives a fairly reasonable prediction in terms of the computational accuracy, convergence and stability. The contribution of an anisotropic buoyant part to turbulent heat fluxes are also scrutinized over the range of Rayleigh numbers $(4.79{\times}10^{10}{\le}Ra{\le}7.46{\times}10^{10}).$

Application of Constant Rate of Velocity or Pressure Change Method to Improve Annular Jet Pump Performance

  • Yang, Xuelong;Long, Xinping;Kang, Yong;Xiao, Longzhou
    • International Journal of Fluid Machinery and Systems
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    • 제6권3호
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    • pp.137-143
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    • 2013
  • To improve annular jet pump (AJP) performance, new ways named constant rate of velocity/pressure change method (CRVC/CRPC) were adopted to design its diffuser. The design formulas were derived according to the assumption of linear velocity/pressure variation in the diffuser. Based on the two-dimensional numerical simulations, the effect of the diffuser profile and the included angle on the pump performance and the internal flow details has been analyzed. The predicted results of the RNG k-epsilon turbulence model show a better agreement with the experiment data than that of the standard and the realizable k-epsilon turbulence models. The AJP with the CRPC diffuser produces a linear pressure increase in the CRPC diffuser as expected. The AJP with CRPC/CRVC diffuser has better performance when the diffuser included angle is greater or the diffuser length is shorter. Therefore, the AJP with CRPC/CRVC diffuser is suitable for applications requiring space limitation and weight restriction.

역압력 구배가 있는 난류유동에 대한 수치적 연구 (A numerical study of turbulent flows with adverse pressure gradient)

  • 김형수;정태선;최영기
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.668-676
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    • 1991
  • Turbulent flows around tube banks and in the diffuser were studied using a non-orthogonal boundary fitted coordinate system and the modified K-.epsilon. turbulence model. In these cases, many problems emerge which stem from the geometrical complexity of the flow domain and the physical complexity of turbulent flow itself. To treat the complex geometry, governing equations were reformulated in a non-orthogonal coordinate system with Cartesian velocity components and discretised by the finite volume method with a non-staggered variable arrangement. The modified K-.epsilon. model of Hanjalic and Launer was applied to solve above two cases under the condition of strong and mild pressure gradient. The results using the modified K-.epsilon. model results in both test cases.