• 제목/요약/키워드: $k-\varepsilon$ model

검색결과 750건 처리시간 0.025초

유한요소법을 이용한 난류유동해석 (The Turbulent flow analysis by the Finite Element Method)

  • 황상무
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1999년도 춘계학술대회논문집
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    • pp.253-256
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    • 1999
  • The Streamline Upwind Petrov-Galerkin(SUPG) finite element method is used to solve the two-dimensional laminar and turbulent flow. The flow is simulated by averaged Navier-Stokes equations with a penalty function approach and the lograithmic(k-$\varepsilon$) turbulent model is employed to take into account its turbulent behavior. The near-wall viscous sub-layer model is employed to approach the dominant viscous effects in the near wall zones. To find a good-enough initial guess of the Newton-Raphson iteration solving Nonlinear Matrix the Incremental method is considered for momentum and the Incomplete logarithmic turbu-lent equations for Turbulence. The validation of our method is investigated in comparision with published experimental data.

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하이브리드 로켓의 연소특성 해석 (Analysis for Combustion Characteristics of Hybrid Rocket Motor)

  • 김후중;김용모;윤명원
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2001년도 제17회 학술발표회 논문초록집
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    • pp.61-67
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    • 2001
  • Hybrid propulsion systems provide many advantages in terms of stable operation and safety. However, classical hybrid rocket motors have lower fuel regression rate and combustion efficiency compared to solid propellant rocket motor. The recent research efforts are focused on the improvement of volume limitation and regression rate in the hybrid rocket engine. The present study has numerically investigated the combustion processes in the hybrid rocket engine. The turbulent combustion is represented by the eddy breakup model and Hiroyasu and Nagle and Strickland-Constable model are used for soot formation and soot oxidation. Radiative heat transfer is modeled by finite volume method. To reduce the uncertainties for convective heat transfer near solid fuel surface having strong blowing effect, the Low Reynolds number k-$\varepsilon$ turbulent model is employed. Based on numerical results, the detailed discussion has been made for the turbulent combustion processes in the vortex hybrid rocket engine.

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연속주조공정에서의 유동과 응고에 대한 유한요소 모델링 (A Finite Element Modeling on the Fluid Flow and Solidification in a Continuous Casting Process)

  • 김태헌;김덕수;최형철;김우승;이세균
    • 대한기계학회논문집B
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    • 제23권7호
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    • pp.820-830
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    • 1999
  • The coupled turbulent flow and solidification is considered in a typical slab continuous easting process using commercial program FIDAP. Standard $k-{\varepsilon}$ turbulence model is modified to decay turbulent viscosity in the mushy zone and laminar viscosity is set to a sufficiently large value at the solid region. This coupled turbulent flow and solidification model also contains thermal contact resistance due to the mold powder and air gap between the strand and mold using an effective thermal conductivity. From the computed flow pattern, the trajectory of inclusion particles was calculated. The comparison between the predicted and experimental solidified shell thickness shows a good agreement.

Numerical study on self-sustainable atmospheric boundary layer considering wind veering based on steady k-ε model

  • Feng, Chengdong;Gu, Ming
    • Wind and Structures
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    • 제30권1호
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    • pp.69-83
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    • 2020
  • Modelling incompressible, neutrally stratified, barotropic, horizontally homogeneous and steady-state atmospheric boundary layer (ABL) is an important aspect in computational wind engineering (CWE) applications. The ABL flow can be viewed as a balance of the horizontal pressure gradient force, the Coriolis force and the turbulent stress divergence. While much research has focused on the increase of the wind velocity with height, the Ekman layer effects, entailing veering - the change of the wind velocity direction with height, are far less concerned in wind engineering. In this paper, a modified k-ε model is introduced for the ABL simulation considering wind veering. The self-sustainable method is discussed in detail including the precursor simulation, main simulation and near-ground physical quantities adjustment. Comparisons are presented among the simulation results, field measurement values and the wind profiles used in the conventional wind tunnel test. The studies show that the modified k-ε model simulation results are consistent with field measurement values. The self-sustainable method is effective to maintain the ABL physical quantities in an empty domain. The wind profiles used in the conventional wind tunnel test have deficiencies in the prediction of upper-level winds. The studies in this paper support future practical super high-rise buildings design in CWE.

난류박리 및 재부착 유동에 대한 저레이놀즈수 비선형 열전달 모형의 개발 (A Non-linear Low-Reynolds-Number Heat Transfer Model for Turbulent Separated and Reattaching Flows)

  • 리광훈;성형진
    • 대한기계학회논문집B
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    • 제24권2호
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    • pp.316-323
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    • 2000
  • A nonlinear low-Reynolds-number heat transfer model is developed to predict turbulent flow and heat transfer in separated and reattaching flows. The $k-{\varepsilon}-f_{\mu}$ model of Park and Sung (1997) is extended to a nonlinear formulation, based on the nonlinear model of Gatski and Speziale (1993). The limiting near-wall behavior is resolved by solving the $f_{\mu}$ elliptic relaxation equation. An improved explicit algebraic heat transfer model is proposed, which is achieved by applying a matrix inversion. The scalar heat fluxes are not aligned with the mean temperature gradients in separated and reattaching flows; a full diffusivity tensor model is required. The near-wall asymptotic behavior is incorporated into the $f_{\lambda}$ function in conjunction with the $f_{\mu}$ elliptic relaxation equation. Predictions of the present model are cross-checked with existing measurements and DNS data. The model preformance is shown to be satisfactory.

표면온배수 난류모형 (Turbulence Models for the Surface Discharge of Heated Water)

  • 최흥식;이길성
    • 물과 미래
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    • 제23권4호
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    • pp.445-457
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    • 1990
  • 난류 및 부력효과가 강한 온배수 확산을 예측하기 위하여 난류모델을 이용한 수치모델의 개발이 두드러지고 있다. 본 연구는 정지수역으로 유입하는 온배수 수치모델을 개발하였다. Reynolds 응력항 및 난류 열 프럭스항의 처리를 위하여 k-$\varepsilon$난류모델에 온도자승유동항과 이의 감쇄율 전달방정식을 추가한 4-방정식 난류모델을 이용하였다. 지배방정식을 부분적인 포물형태의 전환을 통한 수치해석이 이용되었다. 계산결과는 Pande 등의 실험결과와 비교적 잘 일치하였고, McGuirk 등의 2-방정식 난류모델에 의한 해석결과와 비교분석하였다. 아울러 고리 원자력 1호기에의 적용을 통하여 본 모델의 실용성 및 타당성 입증하였다.

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도시 지역에서 아파트 단지가 흐름과 확산에 미치는 영향 (Effects of an Apartment Complex on Flow and Dispersion in an Urban Area)

  • 이영수;김재진
    • 대기
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    • 제21권1호
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    • pp.95-108
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    • 2011
  • The effects of an apartment complex on flow and pollutant dispersion in an urban area are numerically investigated using a computational fluid dynamics (CFD) model. The CFD model is based on the Reynolds-averaged Navier-Stokes equations and includes the renormalization group k-${\varepsilon}$ turbulence model. The geographic information system (GIS) data is used as an input data of the CFD model. Eight numerical simulations are carried out for different inflow directions and, for each inflow direction, the effects of an apartment complex are investigated, comparing the characteristics of flow and dispersion before and after construction of the apartment complex in detail. The observation data of automatic weather system (AWS) is analyzed. The windrose analysis shows that the wind speed and direction after the construction of the complex are quite different from those before the construction. The construction of the apartment complex resulted in the decrease in wind speed at the downwind region. It is also shown that the wind speed increased partially inside the apartment complex due to the channeling effect to satisfy the mass continuity. On the whole, the wind speed decreased at the downwind region due to the drag effect by the apartment complex. As a result, the passive pollutant concentration increased (decreased) near the downwind region of (within) the apartment complex compared with that before the construction.

정적챔버에서 분위기 압력에 따른 비증발 디젤분무특성 연구 (A Study on the Non-evaporating Diesel Spray Characteristics as a Function of Ambient Pressure in Constant Volume Combustion Chamber)

  • 전충환;정정훈;김현규;송주헌;장영준
    • Journal of Advanced Marine Engineering and Technology
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    • 제34권5호
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    • pp.645-652
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    • 2010
  • 본 연구의 목적은 다양한 분위기 압력 하에서 커먼레일 디젤인젝터를 통해 분사되는 비증발 디젤 분무특성에 관한 연구이다. 디젤분무의 거시적 특성으로 분무관통거리와 분무각을 음영사진과 이미지프로세싱으로 연구하였다. 수치해석은 상용 CFD프로그램인 AVL-FIRE를 사용하였다. 분열모델은 WAVE모델을 사용하였으며 표준 $k-{\varepsilon}$난류모델을 적용하였다. 분무각과 Zeuch법을 적용한 연료 분사율을 수치해석의 입력값으로 사용하였다. 분무관통거리를 실험값과 비교하여 좋은 결과를 얻었고 수치해석을 통하여 노즐팁 하류방향으로 분무의 각 구간별 액적입경분포를 알아보았다.

초음속 비정상 직열배치공동 유동에 관한 수치적 연구 (Numerical Study of Unsteady Supersonic Flow over Tandem Cavities)

  • 송병호;박남은;김재수
    • 한국항공우주학회지
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    • 제31권2호
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    • pp.10-16
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    • 2003
  • 초음속 유동장에서 비정상 직열배치공동 유동 연구를 Navier-Stokes 방정식과 k-$\varepsilon$난류모델을 이용하여 수치 모사하였다. 공동주위의 비정상유동은 자유 전단층과 공동 내부 유동의 상호 작용에 의한 주기성으로 특정지어진다. 수치적 방법은 van Leer의 유량한계계수를 이용한 유량벡터분리법에 기반을 둔 TVD방법을 사용하였다. 먼저, 단일 공동에 대한 압력비 그래프를 통한 주진동 주파수를 비교하였다. 직열배치공동유동에서는 전후방 공동을 몇가지 세장비로 조합하여, 전방 공동의 영향에 의한 후방 공동 유동장의 주진동 주파수 특성등을 분석하였다. 전방공동의 세장비가 작은 경우에는 강한 전방공동의 전단층이 후방공동의 전단츨과 합하여 하나의 전단층 특성을 줌으로 전후방 공동의 주진동특성이 비슷하게 나타나고, 전방공동의 세장비가 큰경우에는 전방공동의 전단층이 확산되면서 내부에 후방공동의 전단층이 발생함으로 주진동수의 특성이 다르게 나타나는 것을 볼 수 있었다.

축대칭 왕복엔진의 비정상 난류유동에 대한 수치해석 (A Numerical Simulation of Unsteady Axisymmetric Turbulent Flow in a Reciprocating Engine Including Port/Valve Assembly)

  • 조진행;유홍선;최영기
    • 대한기계학회논문집
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    • 제18권1호
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    • pp.139-149
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    • 1994
  • A numerical simulation of unsteady axisymmetric turbulent flow was performed for a reciprocating engine including port/valve assembly. The governing equations based on a nonorthogonal coordinate formulation with Cartesian velocity components were used and discretised by the finite volume method with non-staggered variable arrangements. The modified $\kappa-\xi$. turbulence model which included the effect of compressibility was used. The results of twodimensional transient calculation for the axisymmetric configuration were compared with the experimental data. Although slightly low rms velocity was predicted compared to the experimental data, predicted velocity distributions at the valve exit and in-cylinder region showed good agreements with the experimental data. The flow at the valve exit was separated at the same valve lift position with the experimental data. Two vortices incylinder region were generated during the initial intake process. The clockwise main vortex became strong and moved upward to the top wall. The counter-clockwise second vortex became weak and stick to the upper left corner of the cylinder. After middle intake process, new vortex adjacent to upper cylinder wall appeared by the piston motion and therefore, the in-cylinder flow was formed into three vortices. The cylinder pressure just before bottom dead center of piston was higher than inlet pressure and then the reverse flow occured at the valve exit. The in-cylinder flow characteristics were strongly dependent on piston motion, but insensitive to valve motion.