• 제목/요약/키워드: Stokes number

검색결과 505건 처리시간 0.028초

Applications of Stokes Eigenfunctions to the Numerical Solutions of the Navier-Stokes Equations in Channels and Pipes

  • Rummler B.
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2003년도 The Fifth Asian Computational Fluid Dynamics Conference
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    • pp.63-65
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    • 2003
  • General classes of boundary-pressure-driven flows of incompressible Newtonian fluids in three­dimensional (3D) channels and in 3D pipes with known steady laminar realizations are investigated respectively. The characteristic physical and geometrical quantities of the flows are subsumed in the kinetic Reynolds number Re and a parameter $\psi$, which involves the energetic ratio and the directions of the boundary-driven part and the pressure-driven part of the laminar flow. The solution of non-stationary dimension-free Navier-Stokes equations is sought in the form $\underline{u}=u_{L}+U,\;where\;u_{L}$ is the scaled laminar velocity and periodical conditions are prescribed for U in the unbounded directions. The objects of our numerical investigations are autonomous systems (S) of ordinary differential equations for the time-dependent coefficients of the spatial Stokes eigenfunction, where these systems (S) were received by application of the Galerkin-method to the dimension-free Navier-Stokes equations for u.

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진동하는 날개의 3차원 동실속에 관한 수치해석 (Numerical Analysis of Three Dimensional Dynamic Stall of an Oscillating Wing)

  • 고성호
    • 대한기계학회논문집B
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    • 제25권1호
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    • pp.62-70
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    • 2001
  • Three-dimensional dynamic stall over an oscillating wing has been analyzed by using a compressible Navier-Stokes code. The code solved the thin-layer Navirer-Stokes equations with a second-order time accuracy for a semispan wing with 0.3048m chord, a NACA 0015 airfoil section, and zero twist Computations were made for a freestream Mach number of 0.29, a chord Reynolds number of 1.95$\times$10(sup)6 and a reduced frequency equal to 0.1. Numerical results were compared with experimental data which include the hysteresis of lift, drag and moment at various wing span. The comparison reveals the quantitative as well as qualitative nature of the three-dimensional dynamic stall.

2차원 Navier-Stokes식을 이용한 회전 진동하는 원형실린더 주위 유동해석 (ANALYSIS OF ROTARY OSCILLATION CIRCULAR CYLINDER USING UNSTEADY TWO DIMENSIONAL NAVIER-STOKES EQUATIONS)

  • 이명국;김재수
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.27-33
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    • 2009
  • In this paper, the flow past a rotary oscillating circular cylinder is simulated. The high-order and high-resolution numerical schemes with the characteristic boundary conditions are used for the compressible Navier-Stokes equation. The frequencies of rotating oscillation are $0.19\;{\leq}\;S_f\;{\leq}\;0.25$ for the maximum angular $\theta_{max}=10^{\circ}$ and $17^{\circ}$. The flow conditions are Mach number of 0.3 and Reynolds number of 1000. At Lock-on and Non-lock-on region which are defined by the relation between the vortex shedding frequency and the oscillating frequency, the drag and lift coefficient are analyzed.

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정상 평면충격파에 대한 Navier-Stokes 방정식의 적용한계에 관한 열역학적 연구 (Thermodynamic Study on the Limit of Applicability of Navier-Stokes Equation to Stationary Plane Shock-Waves)

  • 오영기
    • 대한화학회지
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    • 제40권6호
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    • pp.409-414
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    • 1996
  • 선형 비평형 열역학의 최소 엔트로피 생성원리를 사용하여 정상 평면충격파 형상에 대한 Navier-Stokes 유체방정식의 적용한계를 연구하였다. 해석적 결과를 얻기 위하여 평형상태에 가까운 하류 위치에서 방정식을 선형화 하였다. 하류 극한의 경계조건을 충족하는 Navier-Stokes 방정식의 해를 충격파 진행속도의 마하수 M=1 근처에서 급수전개하였을 때, 일차항까지는 열역학의 요구조건과 부합하였다.

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낮은 레이놀즈 수에서 두 개의 원형 실린더 주위 유동 및 입자 거동 해석 (Simulation of fluid flow and particle transport around two circular cylinders in tandem at low Reynolds numbers)

  • ;정석민;김동주
    • 한국입자에어로졸학회지
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    • 제17권4호
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    • pp.81-89
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    • 2021
  • Understanding particle-laden flow around cylindrical bodies is essential for the better design of various applications such as filters. In this study, laminar flows around two tandem cylinders and the motions of particles in the flow are numerically investigated at low Reynolds numbers. We aim to reveal the effects of the spacing between cylinders, Reynolds number and particle Stokes number on the characteristics of particle trajectories. When the cylinders are placed close, the unsteady flow inside the inter-cylinder gap at Re = 100 shows a considerable modification. However, the steady recirculation flow in the wake at Re = 10 and 40 shows an insignificant change. The change in the flow structure leads to the variation of particle dispersion pattern, particularly of small Stokes number particles. However, the dispersion of particles with a large Stokes number is hardly affected by the flow structure. As a result, few particles are observed in the cylinder gap regardless of the cylinder spacing and the Reynolds number. The deposition efficiency of the upstream cylinder shows no difference from that of a single cylinder, increasing as the Stokes number increases. However, the deposition on the downstream cylinder is found only at Re = 100 with large spacing. At this time, the deposition efficiency is generally small compared to that of an upstream cylinder, and the deposition location is also changed with no deposited particles near the stagnation point.

속도의 초기간 추정을 사용한 Navier-Stokes방정식 풀이 기법 (Solver for the Wavier-Stokes Equations by using Initial Guess Velocity)

  • 김영희;이성기
    • 한국정보과학회논문지:시스템및이론
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    • 제32권9호
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    • pp.445-456
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    • 2005
  • 본 논문은 물리적인 힘을 기반으로 유체의 흐름을 실시간으로 시뮬레이션하기 위하여 유체 의 흐름을 지배하는 Wavier-Stokes 방정식에 대한 빠르고 정확한 풀이 기법을 제안한다 본 논문에서는 Navier-Stokes 방정식에 있는 비선형 항의 속도에 대한 초기값을 Stokes 방정식의 해로써 추정한다. 주어진 비선형 미분방정식의 해에 근사하게 초기값을 추정함으로써 정확하고 안정적인 풀이 기법을 만들 수 있었다. 또한 유한차분법(finite difference method)의 암시적(implicit) 방법 중에서 방대한 계산량을 피할 수 있는 ADI(Alternating Direction Implicit) 방법을 사용함으로써 큰 시간 간격(time-step)에 대해서 시스템이 안정적이며 계산속도 또한 빠르다. 실험 결과들은 특히 연기, 구름과 같이 큰 레이놀드 수(Reynolds number)를 가지는 유체에 대해서 탁월한 성능을 보여주었다.

Chimera 격자계를 이용한 Euler/Navier-Stokes Solver의 개발 (Development of Euler/Navier-Stokes Solver using Chimera Grid Method)

  • 이승수;박민우;조금원;권장혁
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1998년도 추계 학술대회논문집
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    • pp.141-146
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    • 1998
  • An Euler/Navier Stokes solver has been developed for the analysis of steady and unsteady flows. The $q-{\omega}$ turbulent model has been incorporated into the solver in strongly coupled manner for stability and robustness. A new Chimera hole cutting algorithm, Cut-paste algorithm, has been devised for automatic Chimera hole cutting. Number of viscous/inviscid numerical computations demonstrate the accuracy and the versatility of the solver.

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등방성 난류에서의 마이크로버블 거동 (BEHAVIOR OF MICROBUBBLES IN ISOTROPIC TURBULENCE)

  • 심기훈;이슬기;이창훈
    • 한국전산유체공학회지
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    • 제21권4호
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    • pp.46-53
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    • 2016
  • Direct numerical simulation is conducted to observe the behavior of microbubbles in isotropic turbulence. Navier-Stokes equation and the motion of equation for microbubbles are solved with periodic boundary condition in a cube domain. Vorticity contour, enstrophy ratio, relative reduction of bubble rise velocity, and the closest distance of particles are investigated for various Stokes numbers and gravity factors to understand clustering of microbubbles. Also, clustering due to the effect of the lift force is investigated.

진동하는 윗벽면을 가진 정방형 웅덩이 안에서의 흐름 (Analysis of flow in a square cavity with an oscillating top wall)

  • 민병광;장근식
    • 대한기계학회논문집B
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    • 제21권3호
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    • pp.392-404
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    • 1997
  • The flow induced by the oscillatory motion of a solid body is important in a number of practical problems. As the solid boundary oscillates harmonically, there is steady streaming motion invoked by the Reynolds stresses, which could cause extensive migration of the fluid during a period of fluid motion. We here analyzed the flow in a square cavity with an oscillating top wall for the parameters which make the time derivatives and the convective terms equally important in the entire cavity flow. The full Navier-Stokes equations are solved by the second-order time accurate Momentum Coupling Method which is devised by the authors. The particular numerical scheme does not need subiteration at each time step which is usually a required process to calculate the incompressible Navier-Stokes equations. The effect of two parameters, the Reynolds number and the frequency parameter, on the oscillatory flow has been investigated.

비정렬 격자계에서 LU implicit scheme의 수렴성 및 안정성 해석: Part II - Navier-Stokes 방정식 (Convergence and Stability Analysis of LU Scheme on Unstructured Meshes: Part II - Navier-Stokes Equations)

  • 김주성;권오준
    • 한국항공우주학회지
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    • 제32권8호
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    • pp.1-11
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    • 2004
  • 본 연구에서는 비정렬 격자계에서 가장 많이 쓰이는 근사 해법 중에 하나인 LU 기법의 Navier-Stokse 방정식에 대한 수렴성 및 안정성에 관한 연구를 수행하였다. 적절한 스칼라 모델 방정식을 사용하여 LU 기법이 갖는 고유한 특성에 관한 해석적 논의를 수행하였으며, 이를 Navier-Stokes 방정식으로 확장하여 해석하였다. 그 결과 LU 기법의 강성도는 격자 종횡비가 높아짐에 띠라, 그리고 격자 레이놀즈 수 감소함에 따라 증가하게 된다. 또한 내부반복계산을 통해서 이러한 강성도가 부분적으로 극복될 수 있음을 보였으며, 평판 난류 유동 해석을 통해서 해석 결과를 검증하였다.