• 제목/요약/키워드: coupled stokes equations

검색결과 141건 처리시간 0.029초

가열을 수반하는 Ludwieg Tube 유동에 대한 연구 (Study of the Periodic Ludwieg Tube Flow with Heat Addition)

  • 백승철;권순범;김희동
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집B
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    • pp.450-455
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    • 2001
  • The time-dependent behavior of nonequilibrium condensation of moist air through the Ludwieg tube is investigated with a computational fluid dynamics(CFD) method. The two-dimensional, compressible, Navier-Stokes equations, fully coupled with the condensate droplet growth equations, are numerically solved by a third-order MUSCL type TVD finite-difference scheme, with a second-order fractional time step. Baldwin-Lomax turbulence model is employed to close the governing equations. The computational results are compared with the previous experiments using the Ludwieg tube with a downstream diaphragm. The results clearly show that for an initial relative humidity below 30% there is no periodic oscillation of the condensation shock wave, but for an initial relative humidity over 40% the periodic excursions of the condensation shock occurs in the Ludwieg tube, and the frequency increases with the initial relative humidity. It is also found that total pressure loss due to nonequilibrium condensation in the Ludwieg tube should not be ignored even for a very low initial relative humidity, and the periodic excursions of the condensation shock wave are responsible for the total pressure loss.

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Study of Moist Air Flow Through the Ludwieg Tube

  • Baek, Seung-Cheol;Kwon, Soon-Bum;Kim, Heuy-Dong;Toshiaki Setoguchi;Sigeru Matsuo;Raghu S. Raghunathan
    • Journal of Mechanical Science and Technology
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    • 제17권12호
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    • pp.2066-2077
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    • 2003
  • The time-dependent behavior of unsteady condensation of moist air through the Ludwieg tube is investigated by using a computational fluid dynamics (CFD) work. The two-dimensional, compressible, Navier-Stokes equations, fully coupled with the condensate droplet growth equations, are numerically solved by a third-order MUSCL type TVD finite-difference scheme, with a second-order fractional time step. Baldwin-Lomax turbulence model is employed to close the governing equations. The predicted results are compared with the previous experiments using the Ludwieg tube with a diaphragm downstream. The present computations represent the experimental flows well. The time-dependent unsteady condensation characteristics are discussed based upon the present predicted results. The results obtained clearly show that for an initial relative humidity below 30% there is no periodic oscillation of the condensation shock wave, but for an initial relative humidity over 40% the periodic excursions of the condensation shock occurs in the Ludwieg tube, and the frequency increases with the initial relative humidity. It is also found that total pressure loss due to unsteady condensation in the Ludwieg tube should not be ignored even for a very low initial relative humidity and it results from the periodic excursions of the condensation shock wave.

Fourier 급수전걔를 이용한 부분적으로 유체가 채워진 원통형 셸의 고유진동 해석 (Fourier Series Expansion Method for Free Vibration Analysis of a Partially Liquid-Filled Circular Cylindrical Shell)

  • 정경훈;이성철
    • 소음진동
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    • 제4권2호
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    • pp.163-175
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    • 1994
  • An analytical method for nautral frequencies of a partially liquid- filled circular cylindrical shell with various boundary conditions is developed by means of the Stokes's transformation and Fourier series expansion on the basis of Sanders' shell equation. The liquid-shell coupled system is divided into two regions for convenient formulation. One is the empty shell region in which the Sanders' shell equations are formulated without the lipuid effect, the other is wetted shell region in which the shell equations are formulated with consideration of the liquid dynamic effect. The shell equations for each regions are combined by the geometry and the force continuities at the junction of the two regions. For the vibration relevant to the liquid motion, the velocity potential of liquid is assumed as a sum of linear combination of suitable harmonic functions in axial direction. The unknown parameters are selected to satisfy the boundary condition along the wetted shell surface. The natural frequencies of the liquid filled cylindraical shells with the clamped- free and the clamped-clamped boundary conditions examined in the previous works, are obtained by this analytical method. The results are compared with the previous works, and excllent agreement is found for the natural frequencies of the shells.

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On the dispersion of waves propagating in "plate+fluid layer" systems

  • Akbarov, Surkay D.;Negin, Masoud
    • Coupled systems mechanics
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    • 제10권2호
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    • pp.123-142
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    • 2021
  • The paper deals with the study of the dispersion of quasi-Lamb waves in a hydro-elastic system consisting of an elastic plate, barotropic compressible inviscid fluid, and rigid wall. The motion of the plate is described using the exact equations of elastodynamics, however, the flow of the fluid using the linearized equations and relations of the Navier-Stokes equations. The corresponding dispersion equation is obtained and this equation is solved numerically, as a result of which the corresponding dispersion curves are constructed. The main attention is focused on the effect of the presence of the fluid and the effect of the fluid layer thickness (i.e., the fluid depth) on the dispersion curves. The influence of the problem parameters on the dispersion curves related to the quasi-Scholte wave is also considered. As a result of the analyses of the numerical results, concrete conclusions are made about the influence of the fluid depth, the rigid wall restriction on the fluid motion, and the material properties of the constituents on the dispersion curves. During the analyses, the zeroth and the first four modes of the propagating waves are considered.

슬로싱 영향을 동반한 해양 부유체의 2자유도 거동 수치해석 (Numerical analysis of 2-DOF motions of an ocean floater with sloshing effects)

  • 김현종;최윤환;이연원
    • Journal of Advanced Marine Engineering and Technology
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    • 제37권6호
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    • pp.617-622
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    • 2013
  • 해양 부유체 내부 유체는 파랑에 의한 외력을 받게 되면 슬로싱(sloshing)이 발생하게 된다. 부유체의 슬로싱에 의한 영향을 해석하기 위해서, 파랑에 의한 부유체의 거동뿐만 아니라 슬로싱에 의한 부유체의 응답을 고려한 결합적인 해석이 필요하다. 전산유체역학(CFD) 해석에 있어서, 외란은 비선형 파랑인 Stokes 5차 이론을 사용했고, 유동 해석은 Navier-Stokes 방정식과 Shear-Stress Transport(SST) 난류 모델을 이용하였다. 해양 부유체는 Pitch, Heave 운동에 대한 2자유도 해석을 진행 하였고, 결과에서는 슬로싱을 포함한 강체 운동을 확인 할 수 있다.

초폭굉속도 램가속기의 정상발진과 불발과정에 대한 수치해석 (Numerical Study of Normal Start and Unstart Processes In a Superdetonative Speed Ram Accelerator)

  • 문귀원;정인석;최정렬
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 2002년도 제24회 KOSCO SYMPOSIUM 논문집
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    • pp.123-132
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    • 2002
  • A numerical study was conducted to investigate the combustion phenomena of normal start and unstart processes based on ISL's RAMAC 30 experiments with different diluent amounts and fill pressures in a ram accelerator. The initial projectile launching speed was 1.8 km/s which corresponded to the superdetonative speed of the stoichiometric $H_2/O_2$ mixture diluted with 5 $CO_2$ or 4 $CO_2$. Experiments with same condition except for projectile surface material demonstrated that ignition was successful with an aluminum projectile, but no combustion was observed in case of a steel projectile. In this study, it was found that neither shock nor viscous heating was sufficient to ignite the mixture at a low speed of 1.8 km/s, as was found in the experiments using a steel projectile. However, we could succeed in igniting the mixtures by imposing a minimal amount of additional heat to the combustor section and simulate the normal start and unstart processes found in the experiments with an aluminum projectile. For the numerical simulation of supersonic combustion, multi-species Navier-Stokes equations coupled with a Baldwin-Lomax turbulence model and detailed chemistry reaction equations of $H_2/O_2/CO_2$ suitable for high-pressure gaseous combustion were considered. The governing equations were discretized by a high order accurate upwind scheme and solved in a fully coupled manner with a fully implicit, time accurate integration method. The numerical results matched almost exactly to the experimental results. As a result, it was found that the normal start and unstart processes depended on the strength of gas mixture, development of shock-induced combustion wave stabilized by the first separation bubble, and its size and location.

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ALE 유한요소법을 이용한 유연매체의 거동해석 (Analysis of Flexible Media Using ALE Finite Element Method)

  • 지중근;장용훈;박노철;박영필
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.247-250
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    • 2007
  • Flexible media such as the paper, the film, etc. are thin, light and very flexible. They behave in geometrically nonlinear. Any of small force makes large deformation. So we must including aerodynamic effect when its behavior is predicted. Thus, it becomes fully coupled fluid-structure interaction(FSI) problem. In FSI problems, where the fluid mesh near the structure undergoes large deformations and becomes unacceptably distorted, which drive the time step to a very small value for explicit calculations, the arbitrary Lagrangian-Eulerian(ALE) methods or rezoning are used to create a new undistorted mesh for the fluid domain, which allows the calculations to continue. In this paper, FE sheet model considering geometric nonlinearity is formulated to simulate the behavior of the flexible media. Aerodynamic force to the media by surrounding air is calculated by solving the incompressible Navier-Stokes equations. Q2Q1(Taylor-Hood) element which means biquadratic for velocity and bilinear for pressure is used for fluid domain. Q2Q1 element satisfies LBB condition and any stabilization technique is not needed. In this paper, cantilevered sheet in the viscous incompressible Navier-Stokes flow is simulated to check the mesh motion and numerical integration scheme, and then falling paper in the air is simulated and the effects of some representative parameters are investigated.

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서로 다른 두 개의 공동모델의 모델 상수값이 공동의 길이에 미치는 영향연구 (A STUDY ABOUT THE EFFECT OF MODEL CONSTANTS OF TWO CAVITATION MODELS ON CAVITY LENGTH)

  • 김미선;하콩투;박원규;정철민
    • 한국전산유체공학회지
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    • 제17권3호
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    • pp.25-32
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    • 2012
  • This work was devoted to compare two different cavitation models to study the dependency of model constants. The cavitation model of Merkle et al.(2006) and Kunz et al.(2000) were used for the present computational study. The cavitation models were coupled with the incompressible unsteady Reynolds-Averaged Navier-Stokes solver to indicate the vaporization and condensation processes. For this purpose, a preconditioning method was added as the pseudo-time term to solve the unsteady stiffness problems. For the validation of the numerical simulation, the computation was performed for the cavitating flow in a converging-diverging channel. The present results show that Merkle's cavitation model is independent to the model constants, and the higher numerical accuracy over Kunz's cavitation model.

공력설계를 위한 수치최적설계기법의 연구 (A Study on Numerical Optimization Method for Aerodynamic Design)

  • 김설송;최재호;김광용
    • 한국유체기계학회 논문집
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    • 제2권1호
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    • pp.29-34
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    • 1999
  • To develop the efficient numerical optimization method for the design of an airfoil, an evaluation of various methods coupled with two-dimensional Naviev-Stokes analysis is presented. Simplex method and Hook-Jeeves method we used as direct search methods, and steepest descent method, conjugate gradient method and DFP method are used as indirect search methods and are tested to determine the search direction. To determine the moving distance, the golden section method and cubic interpolation method are tested. The finite volume method is used to discretize two-dimensional Navier-Stokes equations, and SIMPLEC algorithm is used for a velocity-pressure correction method. For the optimal design of two-dimensional airfoil, maximum thickness, maximum ordinate of camber line and chordwise position of maximum ordinate are chosen as design variables, and the ratio of drag coefficient to lift coefficient is selected as an objective function. From the results, it is found that conjugate gradient method and cubic interpolation method are the most efficient for the determination of search direction and the moving distance, respectively.

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소방 배관 동파방지용 열선의 위치 선정을 위한 비정상 열전달 수치해석 (Numerical Analysis of Unsteady Heat Transfer for the Location Selection of Anti-freeze for the Fire Protection Piping with Electrical Heat Trace)

  • 최명영;이동욱;최형권
    • 한국화재소방학회논문지
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    • 제28권1호
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    • pp.52-57
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    • 2014
  • 본 논문에서는 에너지방정식과 비정상 비압축성 Navier-Stokes 방적식을 사용하여 동절기 소방배관의 동파방지를 위한 최적의 열선위치를 확인하였다. 물의 자연대류와 소방 배관의 전도 열방정식이 결합된 복합열전달을 해석하였다. 혼합 열전달 배관 내 물의 비정상적인 유동과 온도분포를 확인하기 위하여 SIMPLE 형태의 알고리즘을 기반으로 한 상용코드(ANSYS-FLUENT)가 사용되었다. 수치해석을 수행하여 등온선과 벡터장을 살펴보았다. 물의 열팽창계수를 일정하다고 가정할 때 소방 배관 단면의 하부에 열선을 설치하는 것이 다른 위치에 설치하는 것보다 시간에 따른 물의 최저온도가 가장 높아서 동파방지에 가장 효과적인 것을 확인할 수 있었다.