• 제목/요약/키워드: Navier-Stokes Equations Incompressible Viscous Flow

검색결과 64건 처리시간 0.026초

비정상 점성유동 해석에 의한 부등피치 횡류홴의 BPF 순음 주파수 변조 특성 예측 (Prediction of Frequency Modulation of BPF Tonal Noise for Random Pitch Cross-Flow Fans by Unsteady Viscous Flow Computations)

  • 조용;문영준
    • 대한기계학회논문집B
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    • 제27권3호
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    • pp.286-293
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    • 2003
  • The unsteady flow characteristics and associated blade tonal noise of a cross-flow fan are predicted by computational methods. The incompressible Navier-Stokes equations are time-accurately solved for obtaining the pressure fluctuations between the rotating blades and the stabilizer. and the sound pressure is predicted using Curie's equation. The discrete noise characteristics of three impellers with a uniform and two random pitch (type-A and -B) blades are compared by their SPL (Sound Pressure Level) spectra. and the frequency modulation characteristics of the BPF (Blade Passing Frequency) noise are discussed. Besides. a mathematical model is proposed for the prediction of discrete blade tonal noise and is validated with available experimental data. The fan performance is also compared with experimental data. indicating that the random pitch effect does not significantly alter the performance characteristics at ${\phi}$ 〉 0.4

박용 프로펠러의 4상한 단독성능 계산 (Computation of Four Quadrant Performance for a Marine Propeller in Open Water)

  • 김형태;김정중
    • 대한조선학회논문집
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    • 제38권4호
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    • pp.1-10
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    • 2001
  • 비 압축성 점성 유동에 대한 RANS 방정식의 수치 해법을 사용해서 4상한(four quadrant) 조건에서 작동하는 박용 프로펠러 주위의 난류 유동과 프로펠러 단독 성능을 계산하였다. 4상한 조건의 단독 성능에 대한 실험결과가 존재하는 모형 프로펠러 P4381에 대하여 계산된 유동은 다양한 조건에서 프로펠러에 발생하는 3차원 유동박리를 포함한 복잡한 점성유동 특성을 잘 보여주었으며, 계산된 프로펠러 추력과 토크는 실험에서 캐비테이션이 심하게 발생된 일부 경우를 제외하고는 실험 결과와 잘 일치하였다.

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가상경계법을 적용한 2차원 미생물 이동에 관한 수치연구 (NUMERICAL SIMULATION OF TWO-DIMENSIONAL MICROORGANISM LOCOMOTION USING THE IMMERSED BOUNDARY METHOD)

  • 란지트;서용권;강상모
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.164-169
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    • 2009
  • Study on swimming of microorganisms like, sperm motility, cilia beating, bacterial flagellar propulsion has found immense significance in the field of biological fluiddynamics. Because of the complexity involved, it is challenging for the researchers to model such problems. Immersed boundary method has proved its efficacy in the field of biological fluiddynamics, The present work aims at performing a numerical study on the microorganism locomotion using the immersed boundary method proposed by Peskin[1]. A two-dimensional model of the microorganism is modeled as thin elastic filament described as a sine wave. The neutrally buoyant organism undergoing deformations is immersed in a viscous and incompressible fluid. The fluid quantities are described using Eulerian coordinates and the immersed body is represented by Lagrangian coordinates. The Eulerian and Lagrangian variables are connected by the Dirac delta function. The Navier-Stokes equations governing the fluid flow are solved using the fractional step method on a staggered Cartesian grid system. The developed numerical code in FORTRAN will be validated by comparing the numerical results with the available results.

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SMAC법을 이용한 물기등 붕괴의 가시화 (Visualization of the Water Column Collapse by using SMAC Method)

  • 김남형;김남국
    • 한국수자원학회논문집
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    • 제34권6호
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    • pp.605-615
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    • 2001
  • 수치시뮬레이션 기법 중 하나인 SMAC법은 시간의 변화에 따른 유동의 현상을 해석하기 위해 MAC법을 수정 한 기법이다. 비압축 점성 흐름을 풀기 위해 Navier-Stokes 방정식을 사용하였으며, 유동을 가시화하기 위해 마커입자가 사용되었다. 본 연구에서는 SMAC법을 사용한 2차원 물기등 붕괴현상의 수치시뮬레이션을 수행하였으며, 시뮬레이션 결과는 Martin과 Moyce의 실험 결과 및 MPS법의 계산결과와 비교하였고, 좋은 결과가 얻어졌다. 또한, 이 수치시뮬이션은 댐 붕괴와 같은 수공구조물의 붕괴현상에 적용할 수 있겠다.

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SMAC법을 이용한 월파현상의 가시화 모의 (Visual Modelling of the Overtopping using SMAC Method)

  • 김남형;김남국
    • 한국해양공학회지
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    • 제15권4호
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    • pp.46-52
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    • 2001
  • SMAC method, one of the numerical simulation techniques, is modified from the original MAC method for the time-dependent variation of fluid flows. The Navier-Stokes equations for incompressible time-dependent viscous flow are applied, and Also marker particles which present the visualization of fluid flows are used. In this study, two-dimensional numerical simulations of the overtopping are carried out by SMAC method, and the simulation results are visualized, In addition to, motion pictures are made for efficient visualization of the simulation results. This numerical simulation could also be applied to the design of coastal structures as dike and revetment.

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제트 폄프 요소 내부의 유동 해석 (Internal Viscous Flow Computation Within the Jet Pump Elements)

  • 조장근;오상욱;박원규;오세민;이수원
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1996년도 춘계 학술대회논문집
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    • pp.99-104
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    • 1996
  • The jet pump is being used in many fields for several purposes because of its simple construction and easy operation. The characteristics of the geometrical variables, pressure gradient and velocity distribution of the jet pump are studied using the CFD technique. The flow calculations through a bended nozzle. a mixing chamber and a venturi are presented and phenomenological aspects are discussed. This study solve 3-D steady incompressible Navier-Stokes equations using the Iterative time marching scheme. The governing equations are differenced with 1st-order accurate backward difference scheme for the time derivatives and 3rd-order accurate QUICK scheme for the convective terms. The Mark-and-cell concept was applied efficiently to solve continuity equation, which is differenced 2nd-order accurate central differenced scheme. The 4th-order artificial damping is added to the continuity equation for numerical stability. A O-type of grid system is generated inside a nozzle and venturi of the jet pump. It has concluded that the results of present study properly agree with physical flow phenomena.

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와도를 기저로 한 초기 순간 출발하는 실린더 주위의 점성유동해석 (Vorticity Based Analysis of the Viscous Flow around an Impulsively Started Cylinder)

  • 김광수;서정천
    • 대한조선학회논문집
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    • 제35권4호
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    • pp.1-10
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    • 1998
  • 본 논문에서는 비압축성 Newtonian 점성유동에서 초기에 순간 출발하는 2차원 실린더 주위의 유동을 해석하기 위해서, 와도를 기저로 한 수치해석기법을 제안하고 있다. Helmholtz 분리 형태로 표현된 Navier-Stokes방정식에서 유도되는 와도전달방정식과 압력방정식, 그리고 벡터등식에서 유도되는 속도-와도 관계식을 이 문제의 지배방정식으로 택하고, 경계조건으로는 물체표면에서 와도와 압력의 연성관계와 힘의 평형을 고려한 동적와도경계조건과 동적압력조건이 제시된다. 이 지배방정식과 경계조건을 수치적으로 처리하기 위하여, 와도와 압력이 연성되어 있는 경계조건은 Wu등(1994)이 제안한 대로, 연성관계를 유지한 채로 식을 분리하는 방법을 이용하였고, 와도전달 방정식은 유한체적법으로 계산하였으며, 그 식에 포함된 대류항을 처리하는 방법으로 TVD 방법을 이용하였다. 속도는 Biot-Savart적분항이 포함된 벡터등식에서 panel방법으로 구하고, 압력방정식은 형태가 Poisson방정식이므로 역시 panel방법을 이용하였다. 계산에 사용된 격자로 정규격자를 이용하고, 결과를 다른 수치적, 해석적 결과와 비교하여 그 타당성을 검증하였다.

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산고래 온돌연도내의 유동분포에 관한 수치해석 (Numerical Analysis on the Flow Distribution in Ondol Flue Channel)

  • 민만기;이승우
    • 대한설비공학회지:설비저널
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    • 제12권4호
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    • pp.264-274
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    • 1983
  • Two-dimensional jet flows into a couple of confined rectangular enclosures such as an Ondol flue channel and their flow distributions were analyzed by numerical graphics : rectangular space in one enclosure is vacated and the other has 8 rectangular small posts. Both enclosures have a protruded inlet nozzle and on outlet on its center line. Steady state incompressible laminar viscous flow was assumed. The primitive forms of Navier-Stokes equations and continuity equation in a cartesian coordinate system were solved numerically by the Marker and Cell method for Reynolds numbers of 5, 10, 20, 30 and 40. From the numerical graphics it was found that the flow regions in both enclosures were devided into tow parts ; one part was the jet flow localized in a narrow center region of the enclosure and the other part was the very slow recirculating flow occupying the rest of the flow region in the enclosures. However there were a little differences in the shapes of jet flow in both enclosures for Reynolds numbers of 5 and 10 and also in the shapes of recirculating flows in both enclosures for all Reynolds number. Also it was found that waving flow appeared right before the outlet at Reynolds number of 20 and more.

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평행평판 내의 지주에 의한 와동 유동에 관한 수치해석 (Numerical Computation of Vertex Behind a Bluff Body in the Flow between Parallel Plates)

  • 김동성;유영환
    • 대한기계학회논문집
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    • 제16권6호
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    • pp.1163-1170
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    • 1992
  • 본 연구에서는 자동차 전자제어식 공기유량계를 Fig.2와 같이 평행평판 안에 사각 지주가 있다고 단순화하고 공기는 이차원 비 압축성 점성유동으로 가정했다. 지배방정식은 유체 운동량방정식(navier-Stokes equation)을 와도 전달 방정식(vorti- city transport equation)과 유량 함수 방정식(stream function equation)으로 변환하 여 사용하였다. Peacemanrachford ADI 방법으로 수치해석 하였으며, 유량 함수 방정 식의 수렴성을 좋게 하기 위하여 Wachspress parameter를 사용하였다. 벽면의 경계 조건은 Briely의 4th-order Lagrange interpolation 방법을 따랐다. Reynolds 수 200과 500에서의 비정상유동(unsteady flow)을 계산하였으며, 유동이 정상상태(steady state)에 도달하였을 때에 유동을 교란시켜 와동 흘림(vortex shedding)을 구하였다.

자유표면을 포함한 선체주위 난류유동 해석 코드 개발 (Code Development for Computation of Turbulent Flow around a Ship Model with Free-Surface)

  • 김정중;김형태;반석호
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1998년도 춘계 학술대회논문집
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    • pp.145-155
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    • 1998
  • A computer code has been developed for the computation of the viscous flow around a ship model with the free surface. In this code, the incompressible Reynolds-averaged Navier-Stokes equations are solved numerically by a finite difference method which employes second-order finite differences for the spatial discretization and a four-stage Runge-Kutta scheme for the temporal integration of the governing equations. For the turbulence closure, a modified version of the Baldwin-Lomax model is exploited. The location of the free surface is determined by solving the equation of the kinematic free-surface condition using the Lax-Wendroff scheme and the boundary-fitted grid is generated at each time step so that one of the grid surfaces always coincides with the free surface. An inviscid approximation of the dynamic free-surface boundary condition is applied as the boundary conditions for the velocity and pressure on the free surface. To validate the computational method and the computer code developed in the present study, the numerical computations are carried out for both Wigley parabolic hull and Series 60 $C_B=0.6$ ship model and the computational results are compared with the experimental data.

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