• 제목/요약/키워드: critical fluid velocity

검색결과 150건 처리시간 0.03초

암반단열에서 비선형유동이 발생하는 임계 레이놀즈수 (Critical Reynolds Number for the Occurrence of Nonlinear Flow in a Rough-walled Rock Fracture)

  • 김다혜;여인욱
    • 자원환경지질
    • /
    • 제52권4호
    • /
    • pp.291-297
    • /
    • 2019
  • 단열을 통한 유체의 유동은 선형유동이 우세하다는 가정아래 Navier-Stokes 방정식에서 유도된 Stokes 방정식, Reynolds 식(또는 local cubic law), cubic law 와 같은 방정식을 이용하여 해석되고 있다. 하지만 이러한 방정식은 선형 흐름에 국한되며, 비선형 유동영역에 적용하게 되면 오류가 발생한다. 본 연구에서는 레이저 계측기를 이용하여 정밀하게 측정한 3차원 단열 자료와 Navier-Stokes 방정식과 Stokes 방정식을 지배방정식으로 한 수치모델링을 수행함으로써 비선형 유동이 일어나는 현상과 임계 레이놀즈수를 제시하였다. 레이놀즈수가 10이상이 되면 유속의 제곱에 비례하는 관성력이 점성력을 충분히 압도할 정도로 커지면서 지하수 유동이 선형영역에서 비선형 유동영역으로 전환되는 것으로 분석되었다. 이는 평균 간극과 거친 정도가 다른 두 단열에서 모두 동일하게 나타났다. 비선형 유동의 발생기작은 소용돌이 구조의 발생과 성장에 의한 것으로 알려져 있지만, 본 연구결과 단순히 소용돌이 구조가 비선형 유동을 일으키는 아니라 유속이 증가하면서 관성력의 영향이 훨씬 큰 영향을 끼치게 되어 비선형 유동이 발생하는 것으로 나타났다.

CFD를 이용한 슬롯 다이 헤드 내부의 유체 분포 분석 (Study on Fluid Distribution in Slot-die Head Using CFD)

  • 유수호;김기은;신영균;박종운
    • 반도체디스플레이기술학회지
    • /
    • 제21권4호
    • /
    • pp.39-44
    • /
    • 2022
  • Using a CFD (computational fluid dynamics) simulation tool, we have offered a design guideline of a slot-die head having a simple T-shaped cavity through an analysis of the fluid dynamics in terms of cavity pressure and outlet velocity, which affect the uniformity of coated thin films. We have visualized the fluid flow with a transparent slot-die head where poly(3,4-ethylenedioxythiophene):poly(4-styrenesulfonate) (PEDOT:PSS) is injected. We have shown that the fluid dynamics inside the slot-die head depends sensitively on the cavity depth, cavity length, land length, and channel gap (i.e., shim thickness). Of those, the channel gap is the most critical parameter that determines the uniformity of the pressure and velocity distributions. A pressure drop inside the cavity is shown to be reduced with decreasing shim thickness. To quantify it, we have also calculated the coefficient of variation (CV). In accordance with Hagen-Poiseuille's laws and electron-hydraulic analogy, the CV value is decreased with increasing cavity depth, cavity length, and land length.

유체 이송 연직 외팔송수관의 동적안정성에 미치는 중력 효과 (Gravitational Effect on Dynamic Stability of a Vertical Cantilevered Pipe Conveying Fluid)

  • 류봉조;류시웅
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 2004년도 추계학술대회 논문집
    • /
    • pp.174-179
    • /
    • 2004
  • The paper deals with gravitational effect on dynamic stability of a cantilevered pipe conveying fluid. The eigenvalue branches and modes associated with flutter of cantilevered pipes conveying fluid are fully investigated. Governing equations of motion are derived by extended Hamilton's principle, and the solutions are sought by Galerkin's method. Root locus diagrams are plotted for different values of mass ratio of the pipe, and the order of branch in root locus diagrams is defined. The flutter modes of the pipe at the critical flow velocities are drawn at every one of the twelfth period. The transference of flutter-type instability from one eigenvalue branches to another is investigated thoroughly.

  • PDF

탄성 지지된 밸브 배관계의 안정성에 미치는 크랙의 영향 (Crack Effects on Dynamic Stability of Elastically Restrained Valve-pipe System)

  • 허관도;손인수
    • 한국기계가공학회지
    • /
    • 제10권3호
    • /
    • pp.79-86
    • /
    • 2011
  • The dynamic instability and natural frequency of elastically restrained pipe conveying fluid with the attached mass and crack are investigated. The pipe system with a crack is modeled by using extended Hamilton's Principle with consideration of bending energy. The crack on the pipe system is represented by a local flexibility matrix and two undamaged beam segments are connected. In this paper, the influence of attached mass, its position and crack on the dynamic stability of a elastically restrained pipe system is presented. Also, the critical flow velocity for the flutter and divergence due to the variation in the position and stiffness of supported spring is studied. Finally, the critical flow velocities and stability maps of the pipe conveying fluid with the attached mass are obtained by the changing parameters.

유동유체에 의한 불연속 외팔 파이프의 플러터 불안정 (Flutter Instability of a Discontinuous Cantilevered Pipe Conveying Fluid)

  • 류봉조;류시웅;임경빈
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2004년도 춘계학술대회논문집
    • /
    • pp.273-277
    • /
    • 2004
  • This paper deals with the dynamic stability and vibration of a non-uniform cantilevered pipe conveying fluid. The present model consists of two segments with different cross-sections. Governing equations of motion are derived by extended Hamilton's principle, and the numerical scheme using finite element method is applied to obtain the discretized equations. The critical flow velocities and stability maps of the pipe are obtained by changing step ratios, mass ratios and internal damping parameters of the pipe. Finally, the vibrational modes associated with flutter are shown graphically.

  • PDF

유체 이송 연직 외팔 송수관의 고유치분기와 플러터 모드에 미치는 중력 효과 (Gravitational Effect on Eigenvalue Branches and Flutter Modes of a Vertical Cantilevered Pipe Conveying Fluid)

  • 류시웅;신광복;류봉조
    • 한국정밀공학회지
    • /
    • 제23권4호
    • /
    • pp.67-74
    • /
    • 2006
  • The paper presents gravitational effect on eigenvalue branches and flutter modes of a vertical cantilevered pipe conveying fluid. The eigenvalue branches and modes associated with flutter of cantilevered pipes conveying fluid are fully investigated. Governing equations of motion are derived by extended Hamilton's principle, and the related numerical solutions are sought by Galerkin's method. Root locus diagrams are plotted for different values of mass ratios of the pipe, and the order of branch in root locus diagrams is defined. The flutter modes of the pipe at the critical flow velocities are drawn at every one of the twelfth period. The transference of flutter-type instability from one eigenvalue branches to another is investigated thoroughly.

유동유체에 의한 불연속 외팔 파이프의 고유치 분기와 플러터 모드 (Eigenvalue Branches and Flutter Modes of a Discontinuous Cantilevered Pipe Conveying Fluid)

  • 류시웅;임경빈;류봉조
    • 한국소음진동공학회논문집
    • /
    • 제14권10호
    • /
    • pp.1041-1047
    • /
    • 2004
  • This paper deals with the dynamic stability and vibration of a discontinuous cantilevered Pipe conveying fluid. The present model consists of two segments with different cross-sections. Governing equations of motion are derived by extended Hamilton's principle, and the numerical scheme using finite element method is applied to obtain the discretized equations. The critical flow velocities and stability maps of the pipe are obtained by changing ratios of second area moment of inertia and mass ratios. Finally, the vibrational modes associated with flutter are shown graphically.

Investigation of hyperbolic dynamic response in concrete pipes with two-phase flow

  • Zheng, Chuanzhang;Yan, Gongxing;Khadimallah, Mohamed Amiine;Nouri, Alireza Zamani;Behshad, Amir
    • Advances in concrete construction
    • /
    • 제13권5호
    • /
    • pp.361-365
    • /
    • 2022
  • The objective of this study is to simulate the two-phase flow in pipes with various two-fluid models and determinate the shear stress. A hyperbolic shear deformation theory is used for modelling of the pipe. Two-fluid models are solved by using the conservative shock capturing method. Energy relations are used for deriving the motion equations. When the initial conditions of problem satisfied the Kelvin Helmholtz instability conditions, the free-pressure two-fluid model could accurately predict discontinuities in the solution field. A numerical solution is applied for computing the shear stress. The two-pressure two-fluid model produces more numerical diffusion compared to the free-pressure two-fluid and single-pressure two-fluid models. Results show that with increasing the two-phase percent, the shear stress is reduced.

Response of transmission line conductors under different tornadoes

  • Dingyu Yao;Ashraf El Damatty;Nima Ezami
    • Wind and Structures
    • /
    • 제37권3호
    • /
    • pp.179-189
    • /
    • 2023
  • Multiple studies conducted in the past evaluated the conductor response under one tornado wind field, while the performance of transmission lines under different tornado wind fields still remains unknown. Thus, the objective of this paper is to estimate the variation in the conductor's critical longitudinal and transverse reactions under different tornado wind fields, as well as providing the corresponding critical tornado configurations. The considered full-scale tornadoes are the Spencer, South Dakota, 1998, the Stockton, Kansas, 2005 and the Goshen County, Wyoming, 2009. Computational Fluid Dynamics (CFD) simulations were previously conducted to develop these wind fields. All tornadoes have been rescaled to have a common velocity matching the upper limit of the F2 Fujita scale. Eight conductor systems, each including six spans, are considered in this paper. For each conductor, parametric studies are conducted by varying the location of the three tornado wind fields relative to the tower of interest, therefore the peak reactions associated with each tornado are determined. A semi-analytical closed-form solution, previously developed and validated, is used to calculate the reactions. The study conducted in this paper can be divided into two parts: In the first part, a parametric study considering a wide range of tornado locations is conducted. In the second part, the parametric study focuses on the tornado location leading to the critical tangential velocity on the tower. Based on this extensive parametric study, a critical tornado defined as the Design Tornado and its critical locations, tornado distance R = 125 m, tornado angle 𝜃 = 15° and 30°, are recommended for design purposes.

어류 차단 스크린 설치에 따른 안동-임하호 연결터널 내 흐름변화에 대한 전산유체동역학 수치모의 (Computational Fluid Dynamics Simulation of Flow Pattern Change in the Andong-Imha Reservoir Connecting Tunnel Due to Fish Exclusion Screens)

  • 안상도
    • 한국물환경학회지
    • /
    • 제30권5호
    • /
    • pp.477-485
    • /
    • 2014
  • Imha Reservoir is connected to Andong Reservoir via a diversion tunnel allowing water to pass between. The diversion tunnel is equipped with screens to exclude exotic largemouth bass due to their predatory impacts on prey assemblages resulting in a degradation of species richness of local fish fauna and extinction of local fish populations in Korea. Flow pattern changes resulting from the fish screens and trash racks were investigated using a computational fluid dynamics (CFD) model. Numerical simulations showed that the decrease in the discharge capacity of the tunnel is approximately 8.6% and the headloss coefficient for fish screen at Andong intake tower was determined to be 1.5. In order not to allow the small fishes enough to pass through the wire openings enter into Imha Reservoir through tunnel, the velocity in the tunnel should be greater than 1.48 m/s which is a critical ascending velocity of the bass. This study suggests that it can keep the velocity higher enough to exclude largemouth bass when a gate opens with the condition of 1.0m difference in water stage between two reservoirs.