• 제목/요약/키워드: $k-\varepsilon$ model

검색결과 750건 처리시간 0.031초

이차적인 변형률효과를 나타내는 새로운 변수의 제안 (Proposal of a New Parameter for Extra Straining Effects)

  • 명현국
    • 대한기계학회논문집
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    • 제18권1호
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    • pp.184-192
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    • 1994
  • The parameters such as Richardson numbers or stability parameters are widely used to account for the extra straining effects due to three-dimensionality, curvature, rotation, swirl and others arising in paractical complex flows. Existing expressions for the extra strain in turbulence models such as $k-{\epsilon}$ models, however, do not satisfy the tensor invariant condition representing the coordinate indifference. In the present paper, considering the characteristics of both the mean strain rate and the mean vorticity, a new parameter to deal with the extra straining effects is proposed. The new parameter has a simple form and satisfies the tensor invariant condition. A semi-quantitative analysis between the present and previous parameters for several typical complex flows suggests that the newly proposed parameter is more general and adequate in representing the extra straining effects than the previous ad-hoc parameters.

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

  • 노경철
    • 한국산학기술학회논문지
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    • 제18권3호
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    • pp.545-550
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    • 2017
  • 대동맥이나 협착된 경동맥에서는 심장수축기에 간헐적으로 난류현상이 발생하고 있으며, 혈액의 점성특성으로 인해 기존 난류모델로는 정확한 해석이 어려운 실정이다. 혈류는 점탄성 유체의 성질을 가지고 있어 유체의 전단 변형률 증가에 따라 점도가 감소하는 점탄성 유체이며, 이러한 점탄성 유체는 난류 유동시 저항 감소 현상이 발생한다. 기존의 난류해석 모델들은 점성변화가 없는 뉴턴 유체에 적합한 모델들이 대부분이기 때문에, 점탄성 유체의 저항 감소 현상을 고려한 비뉴턴 유체 해석에 적합한 난류 모델개발이 필요하다. 본 논문은 난류 모델 가운데 수렴성이 좋고 해석시간이 짧은 표준 $k-{\varepsilon}$ 모델을 기반으로 저항 완충 함수를 이용하여 비뉴턴 유체의 저항감소 현상을 해석할 수 있는 수정된 난류모델을 제시하였으며, 이를 기존 난류모델들과 비교하여 제시된 난류 모델을 검증하였다. 새로 제시된 수정된 난류모델은 벽함수 및 점성저층을 고려하지 않았기 때문에 해석시간이 대폭적으로 감소하였으며, 적은 격자수를 이용하여 효율적으로 비뉴턴 유체의 난류 현상을 해석할 수 있기 때문에 향후 혈류해석 및 점탄성유체 해석에 적용할 예정이다.

Fluid Flow Characteristics in the Aquaculture Tank for a Breeding Fish

  • Jeong, Hyo-Min;Chung, Han-Shik;Kim, Se-Hyun;Choi, Seuk-Cheun;Bae, Kang-Youl
    • Journal of Mechanical Science and Technology
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    • 제18권12호
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    • pp.2265-2272
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    • 2004
  • The aquaculture tank is used for breeding fish in sea water which was pumped up to land. The flow characteristics in the aquaculture were investigated with varying the tank geometry and flow rate. The numerical analysis has been employed for calculating the velocity and temperature distributions in a water tank of rectangular type. The finite volume method and SIMPLE algorithm with 3-dimensional standard $\kappa$-$\varepsilon$ turbulence model were used for the numerical analysis. For comparison with experimental results, the PIV system was applied to visualize the flow patterns quantitatively. The numerical results showed good agreements with the experimental results. The mean velocity and temperature versus aquarium depth were represented for various circulating flow rates. Especially, the aquaculture environment is recommended that the aquarium depth has to be d=0.5 m, and this case is the condition of higher velocity and temperature in winter season.

전산유체역학을 이용한 교반 탱크 내에서의 회전유동에 대한 해석 모델의 제안 및 검증 (Suggestion of the Analysis Model and Verification on Rotating Flow in Stirred Tanks Using CFD)

  • 황승식;조환용;최규홍;신동훈;정태용
    • 에너지공학
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    • 제22권1호
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    • pp.28-37
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    • 2013
  • 교반 탱크(stirred tank)는 회전하는 임펠러(impeller)를 이용하여 단상 또는 다상의 유체를 지속적으로 유동시키는 장치로 여러 산업분야에 활용되고 있다. 우수한 성능의 교반기를 설계하기 위해서는 교반 성능에 영향을 미치는 다양한 내부유동특성의 정량적 데이터의 확보가 반드시 필요하지만, 복잡한 구조의 내부유동에 관한 정량적 해석은 현재까지 어려운 문제로 인식되고 있다. 본 연구에서는 전산유체 해석을 통해 교반 탱크에 적합한 기법을 제안하기 위해 Flunet 6.3의 두 가지 모델을 사용하였다. mixture model을 이용하여 교반 탱크 혼합을 해석하였으며, standard, k-${\varepsilon}$ model을 이용하여 교반 탱크 내의 유동을 해석하였다. 해석 기법으로는 다중 좌표계(Multiple Reference Frame)와 이동 격자(Sliding Mesh) 기법을 이용하였다. 전산유체해석 결과를 가시화 실험 결과와 비교하여 교반 탱크의 내부 유동 및 혼합 특성을 파악하고, 교반 탱크 내부 유동 해석 시 적절한 해석기법 선정의 기초자료를 제시하였다.

해양유출기름의 확산 시뮬레이션 모델 개발I- 폐쇄만에서의 3차원 흐름특성분석 - (Development of Simulation Model for Diffusion of Oil Spill in the Ocean 1 -Three Dimensional Characteristics of the Circulation in the Nearly Closed Bay-)

  • 이중우;김기철;강신영;도덕희
    • 한국항만학회지
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    • 제11권2호
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    • pp.241-255
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    • 1997
  • 한국의 부산에 위치한 감천만에서의 해수유동을 파악하기 위하여 3차원 유동모델을 사용하여 계산을 하고 그 결과를 관측치와 비교하였다. 모델은 개방경계에서의 조직, 바람, 화력발전소에서의 온배수에 의해 힘을 받아 해수유동을 재현한다. 난류 혼합계수는 $\kappa-\varepsilon$난류클로즈 모델의 의해 계산하였다. 수온, 염분, 해조류를 현장관측하여 관측자료와 모델결과를 비교하였다. 소용돌이 형태의 흐름이 현장관측자료와 모델결과에서 관측되었는데 이는 약한 조류와 풍성류, 온배수의 상호작용에 의해 형성된 것으로 분석되어진다. 표층과 저층의 흐름은 서로 연관되어 있는데 즉, 표층의 흐름이 강해지는 저츠으이 흐름이 약해지고 반대의 경우도 성립한다.

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삼차원 Navier-Stokes 해석과 반응면기법을 이용한 원심다익송풍기의 최적설계 (Design Optimization of A Multi-Blade Centrifugal Fan with Navier-Stokes Analysis and Response Surface Method)

  • 서성진;김광용
    • 대한기계학회논문집B
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    • 제27권10호
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    • pp.1457-1463
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    • 2003
  • In this paper, the response surface method using three-dimensional Navier-Stokes analysis to optimize the shape of a multi-blade centrifugal fan, is described. For numerical analysis, Reynolds-averaged Navier-Stokes equations with standard k - c turbulence model are transformed into non-orthogonal curvilinear coordinate system, and are discretized with finite volume approximations. Due to the large number of blades in this centrifugal fan, the flow inside of the fan is regarded as steady flow by introducing the impeller force models for economic calculations. Linear Upwind Differencing Scheme(LUDS) is used to approximate the convection terms in the governing equations. SIMPLEC algorithm is used as a velocity-pressure correction procedure. Design variables, location of cur off, radius of cut off, expansion angle of scroll and width of impeller were selected to optimize the shapes of scroll and blades. Data points for response evaluations were selected by D-optimal design, and linear programming method was used for the optimization on the response surface. As a main result of the optimization, the efficiency was successfully improved. It was found that the optimization process provides reliable design of this kind of fans with reasonable computing time.

다수의 취출구를 갖는 A/C덕트의 최적설계에 관한 연구 (A Study on the Optimum Design of Air-Conditioning Duct with Multiple Diffusers)

  • 김민호;이대훈
    • 한국자동차공학회논문집
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    • 제10권5호
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    • pp.98-106
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    • 2002
  • The airflow characteristics of an air-conditioning duct with multiple diffusers were investigated through one-dimensional analysis, CFD simulation and experimental measurement. One-dimensional program based on Bernoulli's equation and minor loss equations was developed in order to evaluate the air distribution rate at each diffuser. In CFD simulation, three-dimensional flow characteristics inside air-conditioning duct were computed for incompressible viscous flow, adopting the RNG k-$\xi$turbulence model. Also, in an effort to equalize the discharge flow rate at each outlet, the optimization procedure has been performed to obtain the optimum diffuser area. In this process, square of difference between maximum discharge rate and minimum discharge rate is used as an object function. Diffuser area and discharge velocity are established as constraints. After optimization process, determined design variables are applied again in CFD simulation and experiment to validate the optimized result by one-dimensional program. Comparison with the experimental data of airflow rate distribution showed that the developed program seems to be acceptable and can be useful design tool for an automotive air-conditioning duct in an initial design stage.

Three-Dimensional Numerical Simulation of Intrusive Density Currents

  • An, Sangdo
    • 한국환경과학회지
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    • 제23권7호
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    • pp.1223-1232
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    • 2014
  • Density currents have been easily observed in environmental flows, for instance turbidity currents and pollutant plumes in the oceans and rivers. In this study, we explored the propagation dynamics of density currents using the FLOW-3D computational fluid dynamics code. The renormalization group (RNG) $k-{\varepsilon}$ scheme, a turbulence numerical technique, is employed in a Reynold-averaged Navier-Stokes framework (RANS). The numerical simulations focused on two different types of intrusive density flows: (1) propagating into a two-layer ambient fluid; (2) propagating into a linearly stratified fluid. In the study of intrusive density flows into a two-layer ambient fluid, intrusive speeds were compared with laboratory experiments and analytical solutions. The numerical model shows good quantitative agreement for predicting propagation speed of the density currents. We also numerically reproduced the effect of the ratio of current depth to the overall depth of fluid. The numerical model provided excellent agreement with the analytical values. It was also clearly demonstrated that RNG $k-{\varepsilon}$ scheme within RANS framework is able to accurately simulate the dynamics of density currents. Simulations intruding into a continuously stratified fluid with the various buoyancy frequencies are carried out. These simulations demonstrate that three different propagation patterns can be developed according to the value of $h_n/H$ : (1) underflows developed with $h_n/H=0$ ; (2) overflows developed when $h_n/H=1$ ; (3) intrusive interflow occurred with the condition of 0 < $h_n/H$ < 1.

Notchback자동차의 트렁크 높이와 공기속도가 차체 표면의 압력변화에 미치는 영향 (Effect of Trunk Height and Approaching Air Velocity of Notchback Road Vehicles on the Pressure Distribution of the Car Surface)

  • 박종수;최병대;김성준
    • 한국자동차공학회논문집
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    • 제10권6호
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    • pp.178-186
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    • 2002
  • 3-D numerical studies are performed to investigate the effect of the trunk height and approaching air velocities on the pressure distribution of notchback road vehicle. For this purpose, the models of test vehicle with four different trunk heights are introduced and PHOENICS, a commercial CFD code, is used to simulate the flow phenomena and to estimate the values of pressure coefficients along the surface of vehicle. The standard k-$\xi$ model is adopted for the simulation of turbulence. The numerical results say that the height variation of trunk makes almost no influence on the distribution of the value of pressure coefficient along upper surface but makes very strong effects on the rear surface. That is, the value of pressure coefficient becomes smaller as the height is increased along the rear surface and the bottom surface. Approaching air velocity make no differences on pressure coefficients. Through the analysis of pressure coefficient on the vehicle surfaces one tried to assess aerodynamic drag and lift of vehicle. The pressure distribution on the rear surface affected more on drag and lift than pressure distribution on the front surface of the vehicle does. The increase of trunk height makes positive effects on the lift decrease but negative effects on drag reduction.

모형 램젯 연소기에서 액체제트의 다상유동 해석 (Multiphase Simulation of a Liquid Jet in a Lab-scale Ramjet Combustor)

  • 오정석;이원남;이종근
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2010년도 제35회 추계학술대회논문집
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    • pp.386-392
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    • 2010
  • 상용 전산유체해석 프로그램을 사용하여 오리피스형 분사기에서 수직분사 액체 제트의 다상유동을 해석하였다. 본 연구의 목적은 오리피스형 분사기 분무 특성을 이해하고 연소기 내부 위치에 따른 유동조건와 항력계수와의 관계식을 구하는 것이다. 수치해석 결과 모형 램젯 연소기에서 수직분사 유동해석은 난류점성모델인 Realizable $k-{\varepsilon}$ 모델과 다상유동모델인 DPM 모델이 유효함을 확인하였다. 또한 오리피스형 분사기에서 레이저 흡수법을 사용하여 측정한 실험결과(증기농도분포)는 수치해석 결과와 잘 일치하였다.

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