• 제목/요약/키워드: circular boundary

검색결과 571건 처리시간 0.029초

넓은 환상간극을 가진 동심원통속의 couette 흐름에서 고분자수용액의 유동현상 (A flow phenomenon of aquaous polymer solution in couette flow of concentric cylinder with wide circular)

  • 권혁칠;이성노;정진도
    • 오토저널
    • /
    • 제15권3호
    • /
    • pp.81-88
    • /
    • 1993
  • This report describes the experimental research on the flow phenomena of the aq uaous polymer solution within the Cuette flow of the concentric, cylinders type with a wide circular gap. We have investigated the phenomena of the fluid flow through torque measuring in the system that the inner cylinder is stationary and the outer one is rotating. Geometrical parameters of the system are the gap ratio of t/R$_{0}$=0.2 and Aspect ratio of l/t=100. The torque increases considerably in about 420-480RPM, So, it is considered a turbulent transition boundary, the higher plymer concentration is, the lower torque value is and the higher transition Reynolds number is. In each of the polymer concentration, the unstable boundary of torque, that is, idiosyncrasies of torque is observed around 220-280RPM. and the boundary is looked upon as a resonant vibration which is caused by the inner cylinder and tortional vibration of torque sensor.r.

  • PDF

다층 반무한 기본해를 이용한 경계요소해석 (Boundary Element Method for Multilayered Media Using Numerical Fundamental Solutions)

  • 김문겸;오금호;김민규;박준상
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
    • /
    • pp.79-86
    • /
    • 1996
  • A boundary element method which utilizes the fundamental solution in the half plane is developed to analyze the multi-layered elastic media. The objective of this study is to derive numerically the fundamental solutions and to apply those to the exterior multi-layered domain problems. To obtain numerical fundamental solutions of multi-layered structural system, the same number of solutions as that of layers in Fourier transform domain are employed. The numerical integration technique is used in order to inverse the Fourier transform solution to real domain. To verify the proposed boundary element method, two examples are treated: (1) a circular hole near the surface of a half plane; and (2) a circular cavity within one layer of four layered half plane.

  • PDF

3차원 Floquet 안정성 분석을 위한 가상 경계법의 적용 (APPLICATION OF AN IMMERSED BOUNDARY METHOD FOR THREE-DIMENSIONAL FLOQUET STABILITY ANALYSIS)

  • 윤동혁;양경수
    • 한국전산유체공학회지
    • /
    • 제14권4호
    • /
    • pp.41-47
    • /
    • 2009
  • An immersed boundary method(IBM, Kim et al.(2001)) for simulating flows over complex geometries is applied to computation of three-dimensional Floquet stability of a periodic wake. Floquet stability analysis is employed to extract different modes of three-dimensional instability. To verify the present method, a fully-resolved Floquet stability calculation for flow past a circular cylinder is considered. There are two different instability modes with long(mode A) and short (mode B) spanwise wavelengths for the periodic wake of a circular cylinder. The critical Reynolds number and the most unstable spanwise wavelengths of modes A and B are computed using the present method, and compared with other authors' results currently available.

Eigenvalue analysis of axisymmetric circular Mindlin plates by pseudospectral method

  • Lee, Jinhee
    • International Journal of Precision Engineering and Manufacturing
    • /
    • 제3권3호
    • /
    • pp.44-49
    • /
    • 2002
  • A study of free vibration of axisymmetric circular plates based on Mindlin theory using a pseudospectral method is presented. The analysis is based on Chebyshev polynomials that are widely used in the fluid mechanics research community. Clamped, simply supported and flee boundary conditions are considered, and numerical results are presented for various thickness-to-radius ratios.

THE INDIRECT BOUNDARY INTEGRAL METHOD FOR CURVED CRACKS IN PLANE ELASTICITY

  • Yun, Beong-In
    • 대한수학회지
    • /
    • 제39권6호
    • /
    • pp.913-930
    • /
    • 2002
  • For curved crack problems in plane elasticity, subjected to the traction conditions on the crack faces, we present a system of boundary integral equations. The procedure is based on the indirect boundary integral method in terms of real variables. For efficient mathematical analysis, we decompose the singular kernel into the Cauchy singular part and the regular one. As a result, solvability of the presented system is proved and availability of the present approach is shown by the numerical example of a circular arc crack.

Dynamic response of functionally graded annular/circular plate in contact with bounded fluid under harmonic load

  • Yousefzadeh, Sh.;Jafari, A.A.;Mohammadzadeh, A.;Najafi, M.
    • Structural Engineering and Mechanics
    • /
    • 제65권5호
    • /
    • pp.523-533
    • /
    • 2018
  • In this study, the dynamic response of a functionally graded material (FGM) circular plate in contact with incompressible fluid under the harmonic load is investigated. Analysis of the plate is based on First-order Shear Deformation Plate Theory (FSDT). The governing equation of the oscillatory behavior of the fluid is obtained by solving Laplace equation and satisfying its boundary conditions. A new set of admissible functions, which satisfy both geometrical and natural boundary conditions, are developed for the free vibration analysis of moderately thick circular plate. The Chebyshev-Ritz Method is employed together with this set of admissible functions to determine the vibrational behaviors. The modal superposition approach is used to determine the dynamic response of the plate exposed to harmonic loading. Numerical results of the force vibrations and the effects of the different geometrical parameters on the dynamic response of the plate are investigated. Finally, the results of this research in the limit case are compared and validated with the results of other researches and finite element model (FEM).

시간평균 홀로그래픽 간섭계를 이용한 경계조건의 변화에 따른 원형평판의 진동에 관한 연구 (The Research on the Vibration of the Circular Plate for Varying Free Arc Angles by Time-Average Holographic Interferometry)

  • 이기백;양장식;나종문
    • 대한기계학회논문집
    • /
    • 제16권10호
    • /
    • pp.1900-1907
    • /
    • 1992
  • 본 연구에서는 원형평판의 경계조건을 일부분은 고정단으로 일부분은 자유단 으로 구성하여 자유단각 .alpha.(Fig.4 참조)를 0˚, 30˚, 60˚, 90˚, 120˚, 150˚, 180˚로 변화시킴에 따른 진동모드를 시간평균 홀로그래픽 간섭계(time-average holographic interferometry)를 이용해 분석하고 자유단의 변화에 따른 고유진동수의 비를 비교하였고, 레이저 도플러 유속계(LDV)를 변형한 레이저 도플러 진동계(laser doppler vibrometer)로 원형평판의 진동변위와 시간평균 홀로그래픽 간섭계로 구한 진 동변위를 비교하였다.

A new analytical-numerical solution to analyze a circular tunnel using 3D Hoek-Brown failure criterion

  • Ranjbarnia, Masoud;Rahimpour, Nima;Oreste, Pierpaolo
    • Geomechanics and Engineering
    • /
    • 제22권1호
    • /
    • pp.11-23
    • /
    • 2020
  • In this study, a new analytical-numerical procedure is developed to give the stresses and strains around a circular tunnel in rock masses exhibiting different stress-strain behavior. The calculation starts from the tunnel wall and continues toward the unknown elastic-plastic boundary by a finite difference method in the annular discretized plastic zone. From the known stresses in the tunnel boundary, the strains are calculated using the elastic-plastic stiffness matrix in which three dimensional Hoek-Brown failure criterion (Jiang and Zhao 2015) and Mohr-Coulomb potential function with proper dilation angle (i.e., non-associated flow rule) are employed in terms of stress invariants. The illustrative examples give ground response curve and show correctness of the proposed approach. Finally, from the results of a great number of analyses, a simple relationship is presented to find out the closure of circular tunnel in terms of rock mass strength and tunnel depth. It can be valuable for the preliminary decision of tunnel support and for prediction of tunnel problems.

경계요소법에 의한 유한폭 판재내의 대칭 원형함유물과 균열의 상호간섭에 대한 연구 (A Study for Mutual Interference between Symmetric Circular Inclusion and Crack in Finite Width Plate by Boundary Element Method)

  • Park, S.O.
    • 한국정밀공학회지
    • /
    • 제14권8호
    • /
    • pp.137-145
    • /
    • 1997
  • A two-dimensional program for the analysis of bimaterial inclusion has been developed using the bound- ary element method. In order to study the effects of circular inclusion on the stress field of the crack tip, numerical analysis was performed for the straight crack of finite length around the symmetric circular inclusion whose modulus of elasticity was different from that of the matrix material. In the case of inclusion whose stiffness was smaller than that of the matrix material, the stress intensity factor was found to increase as the crack enamated. The stress intensity factor was uninfluenced from the radial change in inclusion and remained constant for the stiffness equivalent to the matrix materials, where as it decreased for the inclusion with larger stiffness. For the vareation in the distance of the inclusion, a small increase in the stress intensity factor was observed for the case with small or equal stiffness compared with the matrix materials. The inclusion with larger stiffness showed a gradual decrease in the strss intensity factor as the crack emanated.

  • PDF

회전요동하는 원통내의 유동특성 - 수치해석 및 실험 (Fluid Flow in a Circular Cylinder Subject to Circulatory Oscillation-Numerical Analysis and Experiment)

  • 서용권;박준관
    • 대한기계학회논문집B
    • /
    • 제20권12호
    • /
    • pp.3970-3979
    • /
    • 1996
  • A fluid flow inside a circular cylinder subject to horizontal, circular oscillation is analyzed numerically and experimentally. The steady streaming velocities at the edges of the boundary layers on the bottom and side surfaces of the cylinder obtained in the previous paper are used as the boundary conditions in the governing equations for the steady flow motion in the interior region. The Stokes' drift velocity obtained in the previous paper also constitutes the Lagrangian velocity which is used in the momentum equations. It turns out that the interior steady flow is composed of one cell, ascending at the center and descending near the side surface, at the streaming Reynolds number 2500. However, at the streaming Reynolds number 25, the flow field is divided into two cells resulting in a descending flow at the center. The experimentally visualized flow patterns at the bottom surface agree well with the analytical solutions. The visualization experiment also confirms the flow direction as well as the center position of the cell obtained by the numerical solutions.