• 제목/요약/키워드: navier-stokes flow

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레이저 도플러 원리를 이용한 유체 가속도 측정 (Effect of fringe divergence in fluid acceleration measurement using LDA)

  • 전세종;홀거노박;캠트로피아;성형진
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.1546-1551
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    • 2004
  • The laser Doppler technique is well-established as a velocity measurement technique of high precision for flow velocity. Recently, the laser Doppler technique has also been used to measure acceleration of fluid particles. Acceleration is interesting from a fluid mechanics point of view, since the Navier Stokes equations, specifically the left-hand-side, are formulated in terms of fluid acceleration. Further, there are several avenues to estimating the dissipation rate using the acceleration. However such measurements place additional demands on the design of the optical system; in particular fringe non-uniformity must be held below about 0.0001 to avoid systematic errors. Relations expressing fringe divergence as a function of the optical parameters of the system have been given in the literature; however, direct use of these formulae to minimize fringe divergence lead either to very large measurement volumes or to extremely high intersection angles. This dilemma can be resolved by using an off-axis receiving arrangement, in which the measurement volume is truncated by a pinhole in front of the detection plane. In the present study an optical design study is performed for optimizing laser Doppler systems for fluid acceleration measurements. This is followed by laboratory validation using a round free jet and a stagnation flow, two flows in which either fluid acceleration has been previously measured or in which the acceleration is known analytically. A 90 degree off-axis receiving angle is used with a pinhole or a slit.

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유한체적법을 기초한 레티스 볼쯔만 방법을 사용하여 직사각형 공동에서의 난류 자연대류 해석 (COMPUTATION OF TURBULENT NATURAL CONVECTION IN A RECTANGULAR CAVITY WITH THE FINITE-VOLUME BASED LATTICE BOLTZMANN METHOD)

  • 최석기;김성오
    • 한국전산유체공학회지
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    • 제16권4호
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    • pp.39-46
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    • 2011
  • A numerical study of a turbulent natural convection in an enclosure with the lattice Boltzmann method (LBM) is presented. The primary emphasis of the present study is placed on investigation of accuracy and numerical stability of the LBM for the turbulent natural convection flow. A HYBRID method in which the thermal equation is solved by the conventional Reynolds averaged Navier-Stokes equation method while the conservation of mass and momentum equations are resolved by the LBM is employed in the present study. The elliptic-relaxation model is employed for the turbulence model and the turbulent heat fluxes are treated by the algebraic flux model. All the governing equations are discretized on a cell-centered, non-uniform grid using the finite-volume method. The convection terms are treated by a second-order central-difference scheme with the deferred correction way to ensure accuracy and stability of solutions. The present LBM is applied to the prediction of a turbulent natural convection in a rectangular cavity and the computed results are compared with the experimental data commonly used for the validation of turbulence models and those by the conventional finite-volume method. It is shown that the LBM with the present HYBRID thermal model predicts the mean velocity components and turbulent quantities which are as good as those by the conventional finite-volume method. It is also found that the accuracy and stability of the solution is significantly affected by the treatment of the convection term, especially near the wall.

유동점성 및 공탄성 변형효과를 고려한 스테이터-로터 케스케이드 시스템의 성능평가 (Performance Evaluation of Stator-Rotor Cascade System Considering Flow Viscosity and Aeroelastic Deformation Effects)

  • 김동현;김유성
    • 한국항공우주학회지
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    • 제36권1호
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    • pp.72-78
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    • 2008
  • 본 연구에서는 블레이드 구조 변형 효과를 고려하여 스테이터-로터 상호간섭 케스케이드 모델의 성능평가를 위한 유체-구조 연계해석 시스템을 개발하였다. 고정된 스테이터와 회전하는 로터는 상호간섭 영향이 유동해석에 고려되었으며, 레이놀즈-평균화 난류 방정식인 Spalart-Allmaras 모델과 k-ω SST 난류 모델이 압축성 유동박리 효과를 고려한 유동하중을 예측하기 위해 적용되었다. 정적인 유체-구조 연계해석과 수렴율 증진을 효과적으로 수행하기 위하여 큰 인공 감쇠를 가지는 연계 Newmark 시간적분 기법을 적용하였다. 수치실험을 통해 탄성축 위치에 따른 구조변형 효과가 케스케이드 성능에 미치는 영향을 파악하였다. 구조변형 효과가 고려된 경우 일반적인 강체 블레이드 모델에 대한 성능예측 결과와 다소 차이가 유발될 수 있음을 보였으며 공력탄성학적 영향을 고찰하였다.

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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Calculated external pressure coefficients on livestock buildings and comparison with Eurocode 1

  • Kateris, D.L.;Fragos, V.P.;Kotsopoulos, T.A.;Martzopoulou, A.G.;Moshou, D.
    • Wind and Structures
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    • 제15권6호
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    • pp.481-494
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    • 2012
  • The greenhouse type metal structures are increasingly used in modern construction of livestock farms because they are less laborious to construct and they provide a more favorable microclimate for the growth of animals compared to conventional livestock structures. A key stress factor for metal structures is the wind. The external pressure coefficient ($c_{pe}$) is used for the calculation of the wind effect on the structures. A high pressure coefficient value leads to an increase of the construction weight and subsequently to an increase in the construction cost. The EC1 in conjunction with EN 13031-1:2001, which is specialized for greenhouses, gives values for this coefficient. This value must satisfy two requirements: the safety of the structure and a reduced construction cost. In this paper, the Navier - Stokes and continuity equations are solved numerically with the finite element method (Galerkin Method) in order to simulate the two dimensional, incompressible, viscous air flow over the vaulted roofs of single span and twin-span with eaves livestock greenhouses' structures, with a height of 4.5 meters and with length of span of 9.6 and 14 m. The simulation was carried out in a wind tunnel. The numerical results of pressure coefficients, as well as, the distribution of them are presented and compared with data from Eurocodes for wind actions (EC1, EN 13031-1:2001). The results of the numerical experiment were close to the values given by the Eurocodes mainly on the leeward area of the roof while on the windward area a further segmentation is suggested.

On Implementation of the Finite Difference Lattice Boltzmann Method with Internal Degree of Freedom to Edgetone

  • Kang, Ho-Keun;Kim, Eun-Ra
    • Journal of Mechanical Science and Technology
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    • 제19권11호
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    • pp.2032-2039
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    • 2005
  • The lattice Boltzman method (LBM) and the finite difference-based lattice Boltzmann method (FDLBM) are quite recent approaches for simulating fluid flow, which have been proven as valid and efficient tools in a variety of complex flow problems. They are considered attractive alternatives to conventional finite-difference schemes because they recover the Navier-Stokes equations and are computationally more stable, and easily parallelizable. However, most models of the LBM or FDLBM are for incompressible fluids because of the simplicity of the structure of the model. Although some models for compressible thermal fluids have been introduced, these models are for monatomic gases, and suffer from the instability in calculations. A lattice BGK model based on a finite difference scheme with an internal degree of freedom is employed and it is shown that a diatomic gas such as air is successfully simulated. In this research we present a 2-dimensional edge tone to predict the frequency characteristics of discrete oscillations of a jet-edge feedback cycle by the FDLBM in which any specific heat ratio $\gamma$ can be chosen freely. The jet is chosen long enough in order to guarantee the parabolic velocity profile of a jet at the outlet, and the edge is of an angle of $\alpha$=23$^{o}$. At a stand-off distance w, the edge is inserted along the centerline of the jet, and a sinuous instability wave with real frequency is assumed to be created in the vicinity of the nozzle exit and to propagate towards the downstream. We have succeeded in capturing very small pressure fluctuations resulting from periodic oscillation of the jet around the edge.

Computational study of a small scale vertical axis wind turbine (VAWT): comparative performance of various turbulence models

  • Aresti, Lazaros;Tutar, Mustafa;Chen, Yong;Calay, Rajnish K.
    • Wind and Structures
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    • 제17권6호
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    • pp.647-670
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    • 2013
  • The paper presents a numerical approach to study of fluid flow characteristics and to predict performance of wind turbines. The numerical model is based on Finite-volume method (FVM) discretization of unsteady Reynolds-averaged Navier-Stokes (URANS) equations. The movement of turbine blades is modeled using moving mesh technique. The turbulence is modeled using commonly used turbulence models: Renormalization Group (RNG) k-${\varepsilon}$ turbulence model and the standard k-${\varepsilon}$ and k-${\omega}$ turbulence models. The model is validated with the experimental data over a large range of tip-speed to wind ratio (TSR) and blade pitch angles. In order to demonstrate the use of numerical method as a tool for designing wind turbines, two dimensional (2-D) and three-dimensional (3-D) simulations are carried out to study the flow through a small scale Darrieus type H-rotor Vertical Axis Wind Turbine (VAWT). The flows predictions are used to determine the performance of the turbine. The turbine consists of 3-symmetrical NACA0022 blades. A number of simulations are performed for a range of approaching angles and wind speeds. This numerical study highlights the concerns with the self-starting capabilities of the present VAWT turbine. However results also indicate that self-starting capabilities of the turbine can be increased when the mounted angle of attack of the blades is increased. The 2-D simulations using the presented model can successfully be used at preliminary stage of turbine design to compare performance of the turbine for different design and operating parameters, whereas 3-D studies are preferred for the final design.

조류발전용 수직축 터빈 주위의 비정상 유동 수치해석 (A Numerical Study of Unsteady Flow around a Vertical Axis Turbine for Tidal Current Energy Conversion)

  • 정현주;이신형;송무석;현범수
    • 한국해양환경ㆍ에너지학회지
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    • 제12권1호
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    • pp.9-14
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    • 2009
  • 2차원 비정상의 RANS 방정식을 이용하여 피치가 고정된 3개 혹은 4개의 날개(hydrofoil)를 가지는 조류발전용 수직축 터빈주위의 비정상 유동장 해석을 수행하였다. 상용수치해석코드인 Fluent를 이용하여, 균일류에 놓인 $NACA65_3$-018날개에 대하여 받음각(angle of attack)의 변화를 주며 계산되는 유체력을 실험값과 비교하였고, 이를 바탕으로 대표적인 수직축 조류발전 터빈의 특성을 2차원적으로 고찰하였다. 사용된 수치해법은 대상 유동을 효과적으로 모사할 수 있음을 확인 하였고, 터빈의 최적 효율은 날개수 및 유속 대비 회전수 등의 적절한 조합으로 실현 될 수 있음을 파악하였다.

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초음속 노즐의 분리부가 열폐색에 미치는 영향 (Influence of a isolator in supersonic nozzle on thermal choking)

  • 김상우;김영철;김장우
    • 에너지공학
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    • 제21권3호
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    • pp.237-242
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    • 2012
  • 이 연구에서는 초음속 연소에서 발생하는 열폐색의 다양한 현상을 규명하기 위해 확대 축소 노즐 내부에서 열폐색에 의해 형성되는 2차원의 초음속의 비정상 유동장에 대한 수치해석 결과를 제시한다. 열폐색에 의해 야기되는 이동 충격파를 수치계산하기 위해 TVD 스킴을 이용하며, 노즐의 확대부의 일정영역에 가열을 통하여 열폐색이 발생할 수 있는 조건을 형성하고, 이 때 발생하는 천이현상을 분리부가 있는 경우와 없는 경우에 대해 불시동현상 발생속도, 비추력의 불안정성 등을 통해 비교, 설명한다. 분리부가 있는 경우가 없는 경우에 비해 열폐색에 의해 발생한 경사 충격파가 느린 속도로 상류측으로 이동하여 분리부의 설치가 엔진 불시동의 지연효과가 있음을 제시하였다.

유막온도경계조건이 평행 슬라이더 베어링의 윤활성능에 미치는 영향 (Effect of Film-Temperature Boundary Conditions on the Lubrication Performance of Parallel Slider Bearing)

  • 박태조;김민규
    • Tribology and Lubricants
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    • 제33권5호
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    • pp.207-213
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    • 2017
  • In sliding bearings, viscous friction due to high shear acting on the bearing surface raises the oil temperature. One of the mechanisms responsible for generating the load-carrying capacity in parallel surfaces is known as the viscosity wedge effect. In this paper, we investigate the effect of film-temperature boundary conditions on the thermohydrodynamic (THD) lubrication of parallel slider bearings. For this purpose, the continuity equation, Navier-Stokes equation, and the energy equation with temperature-viscosity-density relations are numerically analyzed using the commercial computational fluid dynamics (CFD) code FLUENT. Two different film-temperature boundary conditions are adopted to investigate the pressure generation mechanism. The temperature and viscosity distributions in the film thickness and flow directions were obtained, and the factors related to the pressure generation in the equation of motion were examined in detail. It was confirmed that the temperature gradients in the film and flow directions contribute heavily to the thermal wedge effect, due to which parallel slider bearing can not only support a considerable load but also reduce the frictional force, and its effect is significantly changed with the film-temperature boundary conditions. The present results can be used as basic data for THD analysis of surface-textured sliding bearings; however, further studies on various film-temperature boundary conditions are required.