• 제목/요약/키워드: Vortex equation

검색결과 223건 처리시간 0.023초

축류 회전차 팁 틈새에서의 유동특성 해석 (An Analysis of the Flow Characteristics in the Tip Clearance of Axial Flow Rotor)

  • 정재구;이명호
    • Journal of Advanced Marine Engineering and Technology
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    • 제28권5호
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    • pp.735-745
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    • 2004
  • A linear cascade of NACA 65-1810 profiles are investigated for tip leakage flow characteristics. and calculation results are compared with experimental result. STAR-CD commercial code was used to solve the three dimensional incompressible Navier-Stokes equation that was adopted for steady flow and high Reynolds $\kappa$- $\varepsilon$turbulent model. Numerical calculation of a linear cascade is carried out to investigate effect of tip clearance on pitchwise variations of velocity Profiles. and static pressure distributions on the blade surface at spanwise positions. In case of evolution of tip vortex core location. tip vortex geometry and static pressure at the center of the tip vortex core compared with experimental results. Calculation results are agreed well with the experimental data, and validated. The static pressure losses by tip leakage flow at 2% tip clearance were more than those at 1% tip clearance.

3차원 난류경계층 내에 존재하는 종방향 와동의 유동장 및 열전달 특성에 관한 수치해석(II) - Common Flow Up에 관하여 - (Numerical Analysis on the Flow Field and Heat Transfer Characteristics of Longitudinal Vortices in Turbulent Boundary Layer - On the Common Flow Up -)

  • 양장식
    • 설비공학논문집
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    • 제17권9호
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    • pp.799-807
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    • 2005
  • The flow characteristics and the heat transfer rate on a surface by the interaction of a pair of vortices are studied numerically. To analyze the common flow up produced by vortex generators in a rectangular channel flow, the pseudo-compressibility viscous method is introduced into the Reynolds-averaged Navier-Stokes equation for 3-dimensional unsteady, incompressible viscous flows. To predict turbulence characteristics, a two-layer $k-\varepsilon$ turbulence model is used on the flat plate 3-dimensional turbulence boundary The computational results predict accurately Reynolds stress, turbulent kinetic energy and flow field generated by the vortex generators. The numerical results, such as thermal boundary layers, skin friction characteristics and heat transfers, are also reasonably close to the experimental data.

Flow Past Airfoil Moving Reciprocally in a Channel by Vortex Method

  • Ro Ki-Deok
    • Journal of Mechanical Science and Technology
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    • 제20권8호
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    • pp.1248-1255
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    • 2006
  • The velocity and pressure fields of a ship's propulsion mechanism of the Weis-Fogh type, in which a airfoil moves reciprocally in a channel, are studied in this paper using the advanced vortex method. The airfoil and the channel are approximated by a finite number of source and vortex panels, and the free vortices are introduced from the body surfaces. The viscous diffusion of fluid is represented using the core-spreading model to the discrete vortices. The velocity is calculated on the basis of the generalized Biot-Savart law and the pressure field is calculated from integrating the equation given by the instantaneous velocity and vorticity fields. Two-dimensional unsteady viscose flows of this propulsion mechanism are numerically clarified, and the calculated results agree well with the experimental ones.

CH4공기 제트 확산화염에서 CO2 첨가에 따른 단일 와동의 동적거동에 관한 연구 (An Investigation on Dynamic Behaviors of Single Vortex with CO2 Dilution in a CH4-Air Jet Diffusion Flame)

  • 황철홍;오창보;이대엽;이창언
    • 대한기계학회논문집B
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    • 제27권9호
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    • pp.1209-1219
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    • 2003
  • The dynamic behaviors of the single vortex interacting with $CH_4-Air$ jet diffusion flame are investigated numerically. The numerical method is based on a predict-corrector scheme for a low Mach number flow. A two-step global reaction mechanism is adopted as a combustion model. Studies are conducted in fixed initial velocities for the three cases according as where $CO_2$ is added; (1) without dilution, (2) dilution in fuel stream and (3) dilution in oxidizer stream. A single vortex is generated by an axisymmetric jet, which is made by an impulse of a cold fuel when a flame is developed entirely in a computational domain. The simulation shows that $CO_2$ dilution in fuel stream results in somewhat larger vortex radius, and greater amount of entrainment of surrounding fluid than in other cases. Thus, the dilution of $CO_2$ in fuel stream enhances the mixing in single vortex and increases the stretching of the flame surface. The budgets of the vorticity transport equation are examined to reveal the mechanism of vortex formation when $CO_2$ is added. It is found that, in the case of $CO_2$ dilution in fuel stream, the vortex destruction due to volumetric expansion and the vortex production due to baroclinic torque are more dominant than in other cases.

MOTION OF VORTEX FILAMENTS IN 3-MANIFOLDS

  • PAK, HEE-CHUL
    • 대한수학회보
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    • 제42권1호
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    • pp.75-85
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    • 2005
  • In this paper, the visco-Da-Rios equation; (0.1) ($$\frac{{\partial}{\gamma}}{{\partial}t}=\frac{{\partial}{\gamma}}{{\partial}s}{\bigwedge}\frac{D}{ds}\frac{{\partial}{\gamma}}{{\partial}s}+{\nu}\frac{{\partial}{\gamma}}{{\partial}s}$$) is investigated on 3-dimensional complete orientable Riemannian manifolds. The global existence of solution is discussed by trans-forming (0.1) into a cubic nonlinear Schrodinger equation for complete orient able Riemannian 3-manifolds of constant curvature.

경사충격파와 와류간의 상호작용에 관한 수치적 연구 (A numerical investigation on the oblique shock wave/vortex interaction)

  • 문성목;김종암;노오현;홍승규
    • 한국항공우주학회지
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    • 제32권8호
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    • pp.20-28
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    • 2004
  • 경사충격파와 와류간의 상호작용에 관한 수치적 해석은 경사충격파에 기인한 와류붕괴 의 발생에 관한 이론적 모델 및 실험치와 비교하기 위해 수행되었다. 본 연구의 해석을 위해 마하수에 기초한 Roe의 기법 (RoeM) 과 2-방정식 난류 모델을 이용하여 3차원 난류 유동장을 효과적으로 계산하였다. 자유류 마하수 2.49에서 와유세기, 축방향속도 성분, 충격파 세기의 변화에 따른 상호작용의 영향을 연구하였다. 2-방정식 난류모델인 k-wSST 난류모델과 적절히 모델링된 와류모델을 이용하여 수치연구를 수행함으로써 실험적으로 관찰된 여러 유동장을 정확히 모사할 수 있었다. 경사충격파에 기인한 와류붕괴의 발생에 관한 기준을 결정하기 위한 본 연구결과는 이론적 모델과 실험치와 일치된 결과를 보여주고 있음을 확인하였다.

자유후류 해석을 통한 수평축 풍력 터빈의 성능 및 소음 예측 (Wind Turbine Performance and Noise Prediction by Using Free Wake Method)

  • 신형기;선효성;이수갑
    • 한국음향학회지
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    • 제21권2호
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    • pp.134-141
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    • 2002
  • 본 연구에서 곡선 와동 요소와 CVC (Constant Vorticity Contour) 후류 모델이 수평축 풍력 터빈의 공력 성능 및 소음을 예측하기 위해 사용되었다. 또한 2차 회귀에 근거하여 회전수의 예측을 하였다. 광대역 소음을 예측은 경험식에 근거한 방법을 사용하였다. 직선 와동요소 대신에 BCVE (Basic Curved Vortex Element)와 SIVE(Self Induction Vortex Element)를 사용하는 곡선 와동 요소를 사용하였으며 CVC 후류 모델에서 와동의 강도는 블레이드의 스팬방향 및 와동을 따라서 일정하다고 가정하였다. 이렇게 만들어진 자유 후류는 와동 격자를 대치한다. 본 방법은 여타의 방법에 비해 휠씬 적은 계산 시간을 요구하며 후류의 정확한 구조를 모사할 수 있었다. 검증을 위해서는 김준모의 실험과 Zond사의 Z-40FS의 모델을 성능 예측 결과와 WTS-4와 USWP를 소음 예측 결과와 비교하였다. 계산 결과는 실제의 실험치와 잘 일치하는 것으로 나타났다.

Reynolds-averaged Navier-Stokes 해석과 기포동역학 모델을 이용한 날개 끝 와류 공동 소음의 수치적 고찰 (Numerical investigation of blade tip vortex cavitation noise using Reynolds-averaged Navier-Stokes simulation and bubble dynamics model)

  • 구가람;정철웅;설한신
    • 한국음향학회지
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    • 제39권2호
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    • pp.77-86
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    • 2020
  • 본 연구에서는 날개 끝 와류 공동(Blade-Tip Vortex Cavitation, BTVC)과 이에 기인한 유동 소음을 예측하기 위하여 Eulerian/Lagrangian 연성 해석기법을 제안하였다. 제안한 방법은 크게 연속적인 4단계로 구성되며, 각각 전산유체역학을 이용한 유동장 모사, 와류모델을 이용한 날개 끝 와류의 재구성, 기포 동역학 모델을 이용한 BTVC의 생성, 그리고 음향상사법을 이용한 음향파 예측이다. 일반적으로 전산유체역학 자체가 지니는 고유한 수치감쇠와 과도한 난류 강도로 인해 와류 강도를 심각하게 작게 예측하므로, 유동방향의 날개 끝 와류는 와류모델을 사용하여 재생하였다. 다음으로 Reyleigh-Plesset 방정식에 기반한 기포 동역학 모델을 사용하여 BTVC의 발생과 변화를 모사하였다. 마지막으로 BTVC에 의한 유동소음을 각각의 구형 버블을 그 부피 시간변화율의 변화율에 크기가 비례하는 홀극원으로 모델링하여 예측하였다. 제안한 수치 방법의 유효성을 예측값과 측정값을 비교하여 검토하였다.

수직구조물 후방의 와류현상이 구조물에 설치된 벤투리관의 유체가속 효과에 미치는 영향에 관한 해석 연구 (Effect of Rear-Vortex of a Convergent-Divergent Duct on the Flow Acceleration Installed in a Vertical Structure)

  • 정광섭;김철호;조현성
    • 설비공학논문집
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    • 제25권2호
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    • pp.94-100
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    • 2013
  • A convergent-divergent nozzle or venturi nozzle has been used to accelerate the wind speed at its throat. The wind speed at the throat is inversely proportional to its area according to the continuity equation. In this numerical study, an airflow phenomena in the venturi system placed at a vertical structure was investigated to understand the vortex effect occurred at the rear-side of the vertical structure on the air speed increment at the throat of the venturi system. For this study, a venturi system sized by $20(m){\times}20(m){\times}6(m)$ was modelled and the area ratio(AR) of the model venturi was 2.86. To see the vortex effect on the air flow acceleration in the venturi throat, two different boundary conditions was defined From the study, it was found that the pressure coefficient(CP) of the venturi system with the vortex formed at the exit of the venturi was about 2.5times of the CP of the venturi system without the vortex effect. The velocity increment rate of the venturi system with the vortex was 61% but 9.5% only at the venturi system without the vortex. Conclusively, it can be said that the venturi system installed in a vertical structure has very positive effect on the flow acceleration at its throat due to the vortex formed at the rear-side of the vertical structure.

Vortex induced vibration analysis of a cylinder mounted on a flexible rod

  • Zamanian, Mehdi;Garibaldi, Luigi
    • Wind and Structures
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    • 제29권6호
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    • pp.441-455
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    • 2019
  • In this study, vortex induced vibrations of a cylinder mounted on a flexible rod are analyzed. This simple configuration represents the key element of new conception bladeless wind turbine (Whitlock 2015). In this study the structure oscillations equation coupled to the wake oscillation equation for this configuration are solved using analytical perturbation method, for the first time. An analytical expression that predicts the lock-in phenomena range of wind speed is derived. The discretized equations of motion are also solved using RKF45 numerical method. The equations of motion are discretized by Galerkin method. Free vibration mode shape of the structure taking into account the discontinuity of the cross section are used as comparison function. Numerical results are compared to the analytical results, and they show a satisfying agreement. The effect of system parameters on the oscillations of structure and wake as well as on the lock-in domain are presented. Moreover, it is shown that the values of wind speed triggering the start and the stop of the lock-in phenomenon, for increasing wind speed are different from those values obtained during the reverse process, i.e., when the wind speed decreases.