• 제목/요약/키워드: Stokes equation

검색결과 860건 처리시간 0.029초

세장비 변화에 따른 3차원 공동 주위의 난류유동 및 음향 특성에 관한 수치적 연구 (NUMERICAL ANALYSIS FOR TURBULENT FLOW OVER A THREE DIMENSIONAL CAVITY WITH LARGE ASPECT RATION)

  • 문바울;김재소
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.13-18
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    • 2009
  • Flight vehicles such as wheel wells and bomb bays have many cavities. The flow around a cavity is characterized as an unsteady flow because of the formation and dissipation of vortices brought about by the interaction between the free stream shear layer and the internal flow of the cavity. The resonance phenomena can damage the structures around the cavity and negatively affect the aerodynamic performance and stability of the vehicle. In this study, a numerical analysis was performed for the cavity flows using the unsteady compressible three-dimensional Reynolds-Averaged Navier-Stokes (RANS) equation with Wilcox's turbulence model. The Message Passing Interface (MPI) parallelized code was used for the calculations by PC-cluster. The cavity has aspect ratios (L/D) of 2.5 ~ 7.5 with width ratios (W/D) of 2 ~ 4. The Mach and Reynolds numbers are 0.4 ~ 0.6 and $1.6{\times}106$, respectively. The occurrence of oscillation is observed in the "shear layer and transient mode" with a feedback mechanism. Based on the Sound Pressure Level (SPL) analysis of the pressure variation at the cavity trailing edge, the dominant frequencies are analyzed and compared with the results of Rossiter's formula. The dominant frequencies are very similar to the result of Rossiter's formula and other experimental data in the low aspect ratio cavity (L/D = ~ 4.5). In the large aspect ratio cavity, however, there are other low dominant frequencies due to the leading edge shear layer with the dominant frequencies of the feedback mechanism. The characteristics of the acoustic wave propagation are analyzed using the Correlation of Pressure Distribution (CPD).

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주기 회전하는 원형 실린더 주위 층류 유동장의 수치 시뮬레이션 (Numerical Simulation on Laminar Flow Past a Rotary Oscillating Circular Cylinder)

  • 박종천;문진국;전호환;서성부
    • 대한조선학회논문집
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    • 제42권4호
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    • pp.368-378
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    • 2005
  • The effects of rotary oscillation on the unsteady laminar flow past a circular cylinder. are numerically investigated in the present study. The numerical solutions for the 20 Wavier-Stokes equation are obtained using a finite volume method Tn the framework of an overlapping grid system. The vortex formation behind a circular cylinder and the hydrodynamics of wake flows for different rotary oscillation conditions are analyzed from the results of numerical simulation. The lock-on region is defined as the region that the natural shedding frequency due to the Karmann Vortex shedding and the forcing frequency due to the forced oscillating a cylinder are nearly same, and the quasi-periodic states are observed around that region. At the intersection between lock-on and non-lock-on region the shedding frequency is bifurcated. After the bifurcation, one frequency fellows the forcing frequency($S_f$) and the other returns to the natural shedding frequency($St_0$). in the quasi-periodic states, the variation of magnitudes and relevant phase changes of $C_L$ with forcing phase are examined.

차세대 인공위성 전기저항제트 가스추력기의 다물리 수치모사 (MULTI-PHYSICAL SIMULATION FOR THE DESIGN OF AN ELECTRIC RESISTOJET GAS THRUSTER IN THE NEXTSAT-1)

  • 장세명;최진철;한조영;신구환
    • 한국전산유체공학회지
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    • 제21권2호
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    • pp.112-119
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    • 2016
  • NEXTSat-1 is the next-generation small-size artificial satellite system planed by the Satellite Technology Research Center(SatTReC) in Korea Advanced Institute of Science and Technology(KAIST). For the control of attitude and transition of the orbit, the system has adopted a RHM(Resisto-jet Head Module), which has a very simple geometry with a reasonable efficiency. An axisymmetric model is devised with two coil-resistance heaters using xenon(Xe) gas, and the minimum required specific impulse is 60 seconds under the thrust more than 30 milli-Newton. To design the module, seven basic parameters should be decided: the nozzle shape, the power distribution of heater, the pressure drop of filter, the diameter of nozzle throat, the slant length and the angle of nozzle, and the size of reservoir, etc. After quasi one-dimensional analysis, a theoretical value of specific impulse is calculated, and the optima of parameters are found out from the baseline with a series of multi-physical numerical simulations based on the compressible Navier-Stokes equations for gas and the heat conduction energy equation for solid. A commercial code, COMSOL Multiphysics is used for the computation with a FEM (finite element method) based numerical scheme. The final values of design parameters indicate 5.8% better performance than those of baseline design after the verification with all the tuned parameters. The present method should be effective to reduce the time cost of trial and error in the development of RHM, the thruster of NEXTSat-1.

Unit Stream Power에 의한 총유사량해석(總流砂量解析)에 관한 연구(研究) (A Study on the Analysis of the Total Load by the Unit Stream Power)

  • 이원환;전민우;박상덕
    • 대한토목학회논문집
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    • 제4권1호
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    • pp.79-92
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    • 1984
  • Unit Stream Power(USP)의 이론(理論)에 의하여 총유사량해석(總流砂量解析)이 수행(遂行)되어졌다. 부유사(浮遊砂)에 관한 USP함수(凾數)로부터 Einstein의 기준점농도(基準點濃度)와 Stokes의 침강속도(沈降速度)를 적용(適用)하여 $S_R$에 관한 무차원(無次元) USP 방정식(方程式)을 유도(誘導)하였다. 또한 유량(流量)과 Reynolds수간(數間)의 관계식(關係式)을 유도(誘導)하고 USP와의 관계(關係)를 밝혔으며, 양자(兩者)는 서로 밀접(密接)한 관계(關係)가 있음을 보여주었다. $S_R$식(式)의 계수(係數)들을 한강하류부실험자료(漢江下流部實驗資料)와 Mantz의 실험자료(實驗資料)로부터 구(求)하여 우리 나라의 수개(數個) 하천(河川) 관측지점(觀測地點)에 적용(適用)하였다. 이로써 USP는 부유사(浮遊砂)와 $S_R$에 대하여 좋은 상관성(相關性)을 보여주었으며, 이 USP는 난류강도(亂流强度)가 증가(增加)함에 따라 같은 경향(傾向)을 보여 주었다. 본(本) 연구결과(硏究結果)는 총유사량추정(總流砂量推定)에 기여(寄與)될 수 있을 것으로 판단(判斷)된다.

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낮은 레이놀즈 수에서 벽면에 근접하여 이동하는 실린더 주위의 유동해석 (Flow Analysis over Moving Circular Cylinder Near the Wall at Moderate Reynolds Number)

  • 곽승현
    • Journal of Advanced Marine Engineering and Technology
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    • 제36권8호
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    • pp.1091-1096
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    • 2012
  • 유한체적법을 기반으로 나비에 스톡스 방정식을 비구조격자로 풀어 실린더 주위의 공력특성을 규명하였다. 보텍스, 속도, 압력, 잔차, 항력계수 등의 데이터를 가지고 분석하였고 레이놀즈 수는 50, 100이다. 유동특성은 Re>50에서 주기적으로 진동하는 소용돌이를 후류에 형성하며 이 현상은 이동하는 실린더에서도 유사한 현상을 보여 주었다. 지면효과는 실린더 위쪽에서 형성된 소용돌이가 벽면에 근접할수록 실린더의 후방으로 길게 늘어나는 형상을 보이고, 실린더와 근접벽면 사이의 유속이 정체되어 실린더와 벽면 사이의 간격이 0.6 에서는 근접 평판과 실린더 사이의 유동이 거의 끊겨짐을 알 수 있었다. 본 수치계산의 검증을 위하여 항력계수를 타 연구결과와 비교하였다.

고속탄자 유동의 가시화 실험 및 비정렬격자 계산 (Flow Visualization and Unstructured Grid Computation of Flow over a High-Speed Projectile)

  • 이상길;최서원;강준구;임홍규;백영호;김두연;강호철
    • 한국자동차공학회논문집
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    • 제6권2호
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    • pp.12-20
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    • 1998
  • Exter ballistics of a typical high-speed projectile is studied through a flow-visualization experiment and an unstructured grid Navier-Srokes computation. Experiment produced a schlieren photograph that adequately shows the characteristic features of this complex flow, namely two kinds of oblique cone shocks and turbulent wake developing into the downstream. A hybrid scheme of finite volume-element method is used to simulate the compressible Reynolds-Averaged Navier-Stok- es solution on unstructured grids. Osher's approximate Riemann solver is used to discretize the cinvection term. Higher-order spatial accuracy is obtained by MUSCL extension and van Albada ty- pe flux limiter is used to stabilize the numerical oscillation near the solution discontinuity. Accurate Gakerkin method is used to discretize the viscous term. Explict fourth-order Runge-Kutta method is used for the time-stepping, which simplifies the application of MUSCL extension. A two-layer k-$\varepsilon$ turbulence model is used to simulate the turbulent wakes accurately. Axisymmetric folw and two-dimensional flow with an angle of attack have been computed. Grid-dependency is also checked by carrying out the computation with doubled meshes. 2-D calculation shows that effect of angle of attack on the flow field is negligible. Axi-symmetric results of the computation agrees well with the flow visualization. Primary oblique shock is represented within 2-3 meshes in numerical results, and the varicose mode of the vortex shedding is clearly captured in the turbulent wake region.

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Computational analysis of pollutant dispersion in urban street canyons with tree planting influenced by building roof shapes

  • Bouarbi, Lakhdar;Abed, Bouabdellah;Bouzit, Mohamed
    • Wind and Structures
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    • 제23권6호
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    • pp.505-521
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    • 2016
  • The objective of this study is to investigate numerically the effect of building roof shaps on wind flow and pollutant dispersion in a street canyon with one row of trees of pore volume, $P_{vol}=96%$. A three-dimensional computational fluid dynamics (CFD) model is used to evaluate air flow and pollutant dispersion within an urban street canyon using Reynolds-averaged Navier-Stokes (RANS) equations and the Explicit Algebraic Reynolds Stress Models (EARSM) based on k-${\varepsilon}$ turbulence model to close the equation system. The numerical model is performed with ANSYS-CFX code. Vehicle emissions were simulated as double line sources along the street. The numerical model was validated by the wind tunnel experiment results. Having established this, the wind flow and pollutant dispersion in urban street canyons (with six roof shapes buildings) are simulated. The numerical simulation results agree reasonably with the wind tunnel data. The results obtained in this work, indicate that the flow in 3D domain is more complicated; this complexity is increased with the presence of trees and variability of the roof shapes. The results also indicated that the largest pollutant concentration level for two walls (leeward and windward wall) is observed with the upwind wedge-shaped roof. But the smallest pollutant concentration level is observed with the dome roof-shaped.

상용 CFD 프로그램을 사용한 베인형 관성분리기의 설계인자 영향 검토 (Study on the Effect of Design Parameters of the Vane Type Inertial Separator Using Commercial CFD Code)

  • 이답연;류재문
    • 대한조선학회논문집
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    • 제54권6호
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    • pp.470-475
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    • 2017
  • Since the intake air of gas turbine engine of marine purpose contains water particles, inertial separator for separating the air and water particles are provided. Saw type and wave type separator are now used to separate inflow water particle from the gas. In this paper, the design parameters of saw type separator are studied by numerical simulations. Using the commercial CFD program, Star-CCM+, Lagrangian-Eulerian method was used to perform the analysis of two phase flow of the mist in the air. This method solves Reynolds-Averaged Navier-Stokes equations in Eulerian framework for the continuous phase, while solves equation of motion for individual particles in Lagrangian framework. Lagrangian multiphase method was applied to monitor the particles of different sizes and shapes and to verify collision between particles by chasing particles. Water particles were injected through injectors located at the inlet of the separator and escape mode was used which assumes that the particles attached on the surface of inertial separator were removed from the simulation, effectively escaping the solution domain. Through the numerical computations with the inlet condition of constant water particle size in the wetness fraction of 85%, efficiency of eliminating the water particle and the pressure drop between the inlet and outlet were examined.

컨덕턴스의 개념을 사용한 공압관 시스템의 유량 예측 (Flow Rate Prediction of Pneumatic Pipe System Using Concept of Conductance)

  • 김진현;;김희동
    • 대한기계학회논문집B
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    • 제38권5호
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    • pp.431-436
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    • 2014
  • 컨덕턴스는 유동저항의 반대되는 개념으로써, 광범위하게 유동지표로써 현재 사용되고 있다. 하지만, 유동 컨덕턴스 연구들은 지금까지 매우 드물며, 압축 공기의 표준화 장치에 대한 체계적인 연구가 필요하다. 본 연구에서는 2차 방정식 난류모델을 이용한 압축성 N-S 방정식을 적용하여 수치해석적(CFD) 연구를 수행하였다. 본 CFD 결과는 기존의 실험 데이터를 통해 검증되었으며 공압 배관의 입구 및 출구에서의 컨덕턴스와 마찰 계수의 값은 유량을 평가하기 위해 사용되었다. 본 결과는 컨덕턴스가 공압 배관의 입구 및 출구에서의 압력 비율에 의존한다는 것을 보여준다.

3차원 분무연소장 해석에 의한 액체추진기관 연소실 성능예측에 대한 연구 (Analysis of Spray Combustion for the Performance Prediction of Liquid Rocket Combustor)

  • 황용석;윤웅섭
    • 한국추진공학회지
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    • 제3권3호
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    • pp.31-39
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    • 1999
  • OFO, FOF 삼중 충돌형 및 FOOF 이중 분리 충돌형 분무연소장의 3차원 수치해석을 통한 연소성능 예측 및 성능설계 방법에 대하여 고찰하였다. 예조건화 압축성 유동 지배방정식과 저 레이놀즈수 $\kappa$-$\varepsilon$ 2 방정식 난류모델을 바탕으로 LU-SGS 기법을 사용하여 시간적분 하였으며 분무과정은 DSF 방법을 사용하여 모사하였다. n-heptane 액적과 공기를 연료와 산화제로 하는 액체 추진기관 내에서의 분무 연소장을 계산하였으며 연소에서의 난류의 영향은 eddy 소산모델을 사용하여 모사하였다. 분무연소장의 특성과 연소성능이 비교되었으며, 계산 결과 FOF 삼중 충돌형 분사기의 성능이 가장 우수한 반면, OFO 삼중 충돌형 분사기의 성능이 가장 저조한 것으로 나타났다. 연소효율에 중대한 영향을 미치는 파라미터로는 운동량비에 따른 초기 분무 액적의 평균직경과 혼합효율임을 확인하였다. 연소효율은 초기 분무 액적의 평균직경과 반비례, 혼합효율에 비례하여 증가되며, 산화제/연료 혼합비도 비례하여 상승하나, 일정 운동량비 이상에서는 감소되는 것으로 나타났다. 각 분사기 형태에서 운동량비에 따른 연소효율의 변화는 혼합효율의 변화와 동일한 경향을 보이며 그 크기는 분무 액적의 평균직경에 밀접한 관계가 있음을 알 수 있었다.

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