• 제목/요약/키워드: $ {\kappa}-{\varepsilon}$ Model

검색결과 172건 처리시간 0.024초

쇄파대에서 정현파의 쇄파 (Wave Breaking of Sinusoidal Waves in the Surf Zone)

  • 황종길;김영택;조용식
    • 한국수자원학회논문집
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    • 제37권6호
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    • pp.461-466
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    • 2004
  • 본 연구에서는 쇄파대에서 정현파의 쇄파에 대해 수리모형실험과 수치모형실험을 수행하였으며, 두 실험결과를 비교하였다. 수치해석 모형에서는 Reynolds 방정식을 지배방정식으로 사용하고 난류해석을 위해 $textsc{k}$-$\varepsilon$ 모델을 적용하였으며, 자유수면변위를 추적하기 위해 VOF기법을 사용하였다. 수리모형실험과 수치모형실험 모두 동일한 수심과 주기를 가질 경우, 입사파의 파고가 커질수록 쇄파발생 지점이 경사시작 지점으로부터 가까운 위치로 이동하는 경향을 보였다. 또한, 쇄파발생시 파고비(H/H$_{0}$)는 동일한 수심과 파고를 가질 경우, 주기가 커질수록 증가하는 경향을 보였다.

초임계상태 이산화탄소의 정사각 단면 직덕트 내 난류유동 및 열전달의 전산해석 (Numerical Analysis of Turbulent Carbon Dioxide Flow and Heat Transfer under Supercritical State in a Straight Duct with a Square Cross-Section)

  • 최영돈;주광섭;김용찬;김민수
    • 설비공학논문집
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    • 제14권12호
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    • pp.1004-1013
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    • 2002
  • Turbulent carbon dioxide flows and cooling heat transfers under supercritical state in a straight duct with a square cross-section are numerically analyzed employing low Reynolds number $\kappa-\varepsilon$ model and algebraic stress model. The flow is assumed to be (quasi-incompressible. Predicted Nusselt number and friction factor are compared with the experimental data, Blasius correlation for friction factor and Dittus-Boelter correlation for Nusselt number. Computational results for the Fanning's friction factor agree well with the all Rohsenow and Choi's correlation, Liou and Hwang's experimental data and Blasius correlation. The results obtained by algebraic stress model agree more with the Liou and Hwang's experimental data, while the results obtained by low Reynolds number $\kappa-\varepsilon$ model agree more with Blasius correlation. In the computation of Nusselt number, Dittus-Boelter correlation can not exactly fit the computational results. Therefore we propose the new correlation$Nu=0.053Re^{0.73}Pr^{0.4}$for the turbulent cooling heat transfer of carbon dioxide under supercritical state.

웨이퍼 표면상의 입자침착에 관한 수치 시뮬레이션 (Numerical Simulation of Particle Deposition on a Wafer Surface)

  • 명현국;박은성
    • 대한기계학회논문집
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    • 제17권9호
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    • pp.2315-2328
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    • 1993
  • The turbulence effect of particle deposition on a horizontal free-standing wafer in a vertical flow has been studied numerically by using the low-Reynolds-number k-.epsilon. turbulence model. For both the upper and lower surfaces of the wafer, predictions are made of the averaged particle deposition velocity and its radial distribution. Thus, it is now possible to obtain local information about the particle deposition on a free-standing wafer. The present result indicates that the particle deposition velocity on the lower surface of wafer is comparable to that on the upper one in the diffusion controlled deposition region in which the particle sizes are smaller than $0.1{\mu}m$. And it is found in this region that, compared to the laminar flow case, the averaged deposition velocity under the turbulent flow is about two times higher, and also that the local deposition velocity at the center of wafer is high equivalent to that the wafer edge.

삼차원 Navier-Stokes 해석을 이용한 원심다익송풍기의 최적설계 (Design Optimization of A Multi-Blade Centrifugal Fan with Navier-Stokes Analysis)

  • 서성진;김광용
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.2157-2161
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    • 2003
  • In this paper, the response surface method using three-dimensional Navier-Stokes analysis to optimize the shape of a forward-curved blades centrifugal fan, is described. For numerical analysis, Reynolds-averaged Navier-Stokes equations with standard k-e 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 forward-curved blades 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

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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.

난류모델을 이용한 개수로 급축소부 흐름의 수치해석 (A Numerical Analysis of Flow through Open Channel Constrictions using Turbulence Model)

  • 최흥식
    • 한국수자원학회논문집
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    • 제30권3호
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    • pp.201-210
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    • 1997
  • $textsc{k}$-$\varepsilon$난류모델을 이용한 개수로 급축소부 흐름의 해석을 위한 수치모형을 개발하였고, 그 수치실험결과는 실험결과와 잘 일치하였다. 이는 난류모델에 의한 적절한 난류 와점성계수의 산정이라 생각된다. 유함수 및 유속분포의 분석을 통한 축소부 통과후 급변화 흐름의 수리특성을 분석하였고, 또한 난류 와점성계수의 분포를 분석하였다. 따라서 천수방정식의 점성항에 경험적인 유효점성계수의 도입보다는 흐름의 양상과 장소에 따라서 변화하는 난류와점성계수의 산정에 의한 급변화흐름의 해석이 필요하다.

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고가궤도에 근접한 자기부상열차 형상 주위의 3차원 난류유동에 대한 수치해석 (Computational Analysis of Three-Dimensional Turbulent Flow Around Magnetically Levitated Train Configurations in Elevated Track Proximity)

  • 맹주성;양시영
    • 한국자동차공학회논문집
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    • 제2권1호
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    • pp.9-25
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    • 1994
  • In the present study, the Reynolds-averaged Navier-Stokes equations, together with the equations of the $k-{\varepsilon}$ model of turbulence, were solved numerically in a general body-fitted coordinate system for three-dimensional turbulent flows around the six basic shapes of the magnetically levitated train(MAGLEV). The numerical computations were conducted on the MAGLEV model configurations to provide information on shapes of this type very near the elevated track at a constant Reynolds number of $1.48{\times}10^{6}$ based on the body length. The coordinate system was generated by numerically solving a set of Poisson equations. The convective transport equations were discretized using the finite-analytic scheme which employed analytic solutions of the locally-linearized equations. A time marching algorithm was employed to enable future extensions to be made to handle unsteady and fully-elliptic problems. The pressure-velocity coupling was treated with the SIMPLER-algorithm. Of particular interests were wall effect by the elevated track on the aerodynamic forces and flow characteristics of the six models calculated. The results indicated that the half-circle configuration with extended sides and with smooth curvature of sides was desirable because of the low aerodynamic forces and pitching moment. And it was found that the separation bubble was occured at wake region in near the elevated track.

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도시하천의 교각 및 횡단 월류형 구조물에 의한 수리영향 분석 (Analysis of Hydraulic effects on Piers and Transverse Overflow Type Structures in Urban Stream)

  • 윤선권;전시영;김종석;문영일
    • 한국수자원학회논문집
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    • 제41권2호
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    • pp.197-212
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    • 2008
  • 최근 하천의 흐름해석 분야에서는 수위 및 하상변동 양상과 오염된 지류유입으로 인한 본류에서의 유속분포 양상 및 혼합과정 등의 실제적인 문제를 해결할 수 있는 1, 2차원적 해석이 이루어지고 있으며, 이는 복잡한 하천을 균일화된 모양과 단순화된 방정식으로 일괄 적용함으로써 많은 한계점을 나타내고 있다. 본 연구에서는 서울시 관내 지방 2급 하천인 우이천 시험유역을 대상으로 하천의 물리적인 특성 변화에 따른 흐름해석을 수행하기 위하여 3차원 RANS (Reynolds Averaged Navier-Stokes Equation)를 지배방정식으로 하는 CFD (Computational Fluid Dynamics)모형인 FLOW-3D를 이용하였고, ${\kappa}-{\varepsilon}$, RNG (Renormalized Group) ${\kappa}-{\varepsilon}$, LES (Large Eddy Simulation) 등의 난류모형을 적용하여 각각의 수치모의 결과를 비교 분석 하였다. 또한, 수치 해석을 통한 교량 설치부와 하류 횡단월류형 구조물에서의 난류영향 및 유속분포, 수위 압력분포, 와류특성 등을 분석하였고, 구조물의 철거에 의한 영향을 비교하여 분석하였다. 이는 향후 도시하천의 기능을 상실한 횡단 구조물 철거에 의한 장기적인 하상변동과 토사의 퇴적, 세굴 및 수질악화 등의 영향을 파악해 볼 수 있는 기초자료로 활용될 수 있으리라 사료된다.

압력비가 변할 때 축대칭 초음속 노즐의 플룸 구조 해석 (Plume Structure Analysis of an Axisymmetric Supersonic Micro-nozzle at the Various Pressure Ratios)

  • 권순덕;김성초;김정수;최종욱;김용석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회B
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    • pp.2862-2867
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    • 2007
  • The steady non-reacted compressible flow field in a symmetric micro-thruster, which is used for the accurate attitude control of a satellite, is analyzed varying the nozzle pressure ratio (NPR) to investigate the plume characteristics. The nozzle throat diameter is 0.06 inch and the area ratio is 56. The recirculation region is found just behind the normal shock at the several NPRs due to the locally adverse pressure gradient along the nozzle centerline when the environmental pressure is atmospheric. This phenomenon, the cause of flow loss, is similar to the flow behind a blunt body. As NPR increases the location of Mach disk, characteristics of the normal shock, moves downstream and its strength increases. The Mach number distribution appears in a wave-type patter after the normal shock because oblique shocks are reflected on the shock boundaries especially when NPRs are very high.

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오리피스 링이 부착된 원관내 주기적인 난류운동에 대한 수치해석 (Numerical Study of Periodic Turbulent Flow for a Pipe with an Orifice Ring)

  • 맹주성;양시영;서현철
    • 대한기계학회논문집
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    • 제17권9호
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    • pp.2294-2303
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    • 1993
  • This paper investigated the characteristics of the turbulent incompressible flow past the orifice ring in an axi-symmetric pipe. The flow field was the turbulent pulsatile flow for Reynolds number of $2{\times}10^{5}$ which was defined based on the maximum velocity and the pipe diameter at the inlet, with oscillating frequence $(f_{os})=1/4{\pi}$ which was considered as quasi-steady state frequence. In the present investigation, finite analytic method was used to solve the governing equations in Navier Stokes and turbulent transport formulations. Particularly at high Reynolds number and low oscillation frequency, the effects of orifice ring on the flow were numerically investigated. The separation zone behind the orifice ring during the acceleration phase was found to be decreased. However, during the deceleration phase, the separation behind the orifice ring for pulsatile flow continuously grow to a size even larger than that in steady flow. The pressure drop in steady flow was found to be constant and always positive while for pulsatile flow the pressure drop change with time. And large turbulent kinetic energy, dissipation rate were found to be located in the region where the flow passes through the orifics ring. The maximum turbulent kinetic energy, generally occurs along the shear layer where the velocity gradient is large.