• 제목/요약/키워드: fluid inertia

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상단에 집중질량을 갖는 유체에 잠긴 기둥의 자유진동 특성 (Free Vibration Characteristics of Columns Immersed in Fluid with a Concentrated Mass at the Top)

  • 오상진
    • 한국농공학회지
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    • 제42권1호
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    • pp.105-112
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    • 2000
  • This paper deals with the free vibrations of columns immersed in fluid. The column model is based on the classical Bernoulli-euler theory which neblects the effects of rotatory inerital and shear deformation. The eccentricity and rotatory inertial of the concentrated mass at the top are taken into accuont. In the governing equation for the free vibration of column, thedensity of immersed part was midified to account for theadded fluid mass. The govering differential equations are solved numerically using the corresponding boundary conditions. The lowest four natural frequencies and corresponding mode shapes are calculated over a range of non-dimensional system parameters ; the mas density ration of fluid to column, the ratio of fluid depth to span length, the ratio of tip mass to total column mass, the dimensionless mass moment of inertia, and the eccentricity.

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유체유동에 의한 복합재료 파이프의 안정성 연구 (The Stability of Composite Pipes Conveying Fluid)

  • 최재운;송오섭
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 춘계학술대회논문집
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    • pp.904-910
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    • 2001
  • Static and oscillatory loss of stability of composite pipes conveying fluid is investigated. The theory of thin walled beams is applied and transverse shear, rotary inertia, primary and secondary warping effects are incorporated. The governing equations and the associated boundary conditions are derived through Hamilton's variational principle. The governing equations and the associated boundary conditions are transferred to eigenvalues problem which provides the information about the dynamic characteristics of the system. Numerical analysis is performed by using extended Gelerkin method. Critical velocity of fluid is investigated by increasing fiber angle and mass ratio of fluid to pipe including fluid.

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소형태양수구내(小型太陽水構內) 중간경계면(中間境界面)에서 수력학적(水力學的) 안정(安定)에 관(關)한 각종(各種) 지배변수(支配變數)의 비교(比較) (A Comparison of Various Governing Parameters on Hydrodynamic Stability in Interface on Small Solar Pond)

  • 박이동
    • 태양에너지
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    • 제5권2호
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    • pp.11-19
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    • 1985
  • In this paper, the interface stability not to occur mixing and entrainment between the adjacent layers has been studied in the case of the selective withdrawal of a stratum and the injection in stratified fluid formed by the density difference in a small solar pond. There are stability parameter, Richardson number, Rayleigh number and Froude number as the parameters governing stability in order to measure the interface stability on the stratified fluid. The model which could measure the interface stability on the stratified fluid was the small solar pond composed by 1 meters wide, 2 meters high, and 5 meters long. In order to measure the interface stability on the stratified fluid at the inlet port, the middle section and the outlet port, Richardson number, Rayleigh number, and Froude number involved in the parameters governing the stability were calculated by means of the data resulted from the test of the study on hydrodynamic stability between the convective and nonconvective layers in that solar pond. Richardson number written by the ratio of inertia force to buoyancy force can be used in order to measure the stability on the stratified fluid related to the buoyancy force generated from the injection of fluid. Rayleigh number written by the product of Grashof number by Prandtl number can be used in order to measure the stability of the fluid related to the heat flux and diffusivity of viscosity. Froude number written by the ratio of gravity force to inertia force can be used in order to measure the stability of the nonhomogeneous fluid related to the density difference. As the result of calculating the parameters governing stability, the interface stability on the stratified fluid couldn't be identified below the 70cm height from the bottom of the solar pond, but it could be identified above the 70cm height from it at the inlet port, the middle section and the outlet port. When compared with such the three parameters as Richardson number, Rayleigh number, Froude number, the calculated result was in accord with them at inlet port, the middle section and the outlet port. Henceforth, it is learned that even though any of the three parameters is used for the purpose of measuring the interface stability on the stratified fluid, the result will be the same with them. It is concluded that all the use of Richardson number, Rayleigh number, and Froude number, is desirable and infallible to measure the interface stability on the stratified fluid in the case of considering the exist of the fluid flow and the heat flux like the model of the solar pond.

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단순지지 송수관의 동특성에 미치는 이동질량의 영향 (Influence of a Moving Mass on Dynamic Behavior of a Simply Supported Pipe Conveying Fluid)

  • 윤한익
    • 한국해양공학회지
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    • 제15권2호
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    • pp.135-140
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    • 2001
  • A simply supported pipe conveying fluid and a moving mass upon it constitute a vibrational system. The equation of motion is derived by using Lagrange's equation. The influence of the velocity and the inertia force of a moving mass and the velocities of fluid flow in the pipe have been studied on the dynamic behavior of a simply supported pipe by numerical method. The velocities of fluid low are considered within its critical values of the simply supported pipe without a moving mass upon it. Their coupling effects on the transverse vibration of a simply supported pipe are inspected too. as the velocity of a moving mass increases, the deflection of midspan of a simply supported pipe conveying fluid is increased and the frequency of transverse vibration of the pipe is not varied. Increasing of the velocity of fluid flow makes the frequency of transverse vibration of the simply supported pipe conveying fluid decrease and the deflection of midspan of the pipe increase. The deflection of the simply supported pipe conveying fluid is increased by a coupling of the moving mass and the velocities of a moving mass and fluid flow.

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이동질량들을 가진 단순지지된 유체유동 파이프의 동특성 (Dynamic Behavior of a Simply Supported Fluid Flow Pipe with Moving Masses)

  • 윤한익;임순홍
    • 한국소음진동공학회논문집
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    • 제12권2호
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    • pp.132-140
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    • 2002
  • A simply supported pipe conveying fluid and the moving masses upon it constitute this vibrational system. The equation of motion is derived by using Lagrange's equation. The influence of the velocity and the inertia force of the moving masses and the velocities of fluid flow in the pipe have been studied on the dynamic behavior of a simply supported pipw by numerical method. The velocities of fluid flow are considered within its critical values of the simply supported pipe without the moving masses upon it. Their coupling effects on the transverse vibration of a simply supported pipe are inspected too. The dynamic deflection of the simply supported pipe conveying fluid is increased by a coupling of the moving masses and the velocities of the moving masses and the fluid flow. When four or five regular interval masses move on the simply supported pipe conveying fluid, the amplitude of the simply supported pipe conveying fluid is small at low velocity of the masses, but at high velocity of the masses the deflection of midspan of the pipe is increased by coupling with the numbers and magnitude of the masses. The time which produce the maximum dynamic deflection of the simply supported pipe is delayed according to the increment of the number of moving masses.

越流에 의한 非粘着性 堤體에서의 流體-固體 混合流의 水理特性 (Hydraulic Characteristics of Fluid-Granule Mixed Flow in Embankment of Noncohesive Materials Due to Overflow)

  • 김진홍
    • 한국수자원학회논문집
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    • 제30권6호
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    • pp.661-669
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    • 1997
  • 본 연구에서는 홍수시 비점착성 제체 위를 월류하는 흐름에 의한 유체-고체 혼합류의 속도 분포와 판박형 세굴을 다루고 있다. 속도 분포는 입지-관성 법칙을 기초로 한 응력-변형률 관계식으로부터 구할 수 있었으며, 세굴 깊이는 Coulomb의 동역학적 법칙을 이용하여 구할 수 있었다. 상기 이론으로부터 구한 이론치를 검토하기 위해 실험을 실시하였으며, 실험치와 비교적 잘 일치함을 알 수 있었다. 본 연구에서 얻어진 속도 분포의 이론식은 유체-고체 혼합류의 여러 유속 분포에 모두 적용 가능한 것으로서, 토석류에 관한 기존 이론을 상당히 개선시킬 수 있는 식으로 평가되었다. 설계 목적을 위해서, 만약 홍수량과 입자의 성질 및 제체의 규격이 주어진다면, 속도 분포와 세굴 깊이, 월류 수심 및 토사 유출량을 구할 수 있는 식 및 도표를 제시하였다.

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빙축 및 냉방열과정중 냉각유체와 Ice Ball사이의 열적 특성에 관한 실험적 연구 (An Experimental Study on Thermal Characteristics between Cooling Fluid and Ice Ball during Charging and Discharging Precesses)

  • 박경원;박이동;황영규;김윤제
    • 한국에너지공학회:학술대회논문집
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    • 한국에너지공학회 1996년도 추계학술발표회 논문집
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    • pp.193-205
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    • 1996
  • This paper deals with experimental study on thermal characteristics that a cooling fluid is affected to ice ball as being measuring the temperature in storage tank and ice ball governing the rate of heat storage. Distributor was taken as inlet geometry factor. flow rate of cooling fluid which was a brine were 2, 4, and 6LPM, and 8, 10, and 12$^{\circ}C$ in the temperature difference for dynamic factors with respect to three ice ball types(103, 96, 76mm). In case of in flowing cooling fluid, since inertia force is suppressed by lower flow rate the amount of heat was transferred to ice ball by heat conduction high because density difference is high. And in case of larger ice ball, a long-term storage was available because reaching time at steady state is relatively long. consequently, smaller ice ball could be suitable to a short-term storage.

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Influence of Tip mass on Dynamic Behavior of Cracked Cantilever Pipe Conveying Fluid with Moving Mass

  • Yoon Han-Ik;Son In-Soo
    • Journal of Mechanical Science and Technology
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    • 제19권9호
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    • pp.1731-1741
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    • 2005
  • In this paper, we studied about the effect of the open crack and a tip mass on the dynamic behavior of a cantilever pipe conveying fluid with a moving mass. The equation of motion is derived by using Lagrange's equation and analyzed by numerical method. The cantilever pipe is modelled by the Euler-Bernoulli beam theory. The crack section is represented by a local flexibility matrix connecting two undamaged pipe segments. The influences of the crack, the moving mass, the tip mass and its moment of inertia, the velocity of fluid, and the coupling of these factors on the vibration mode, the frequency, and the tip-displacement of the cantilever pipe are analytically clarified.

유체유동 외팔 파이프의 안정성에 미치는 크랙의 영향 (Effects of Crack on Stability of Cantilever Pipe Conveying Fluid)

  • 손인수;윤한익;김동진
    • 한국소음진동공학회논문집
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    • 제17권11호
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    • pp.1119-1126
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    • 2007
  • In this paper, the dynamic stability of a cracked cantilever pipe conveying fluid with tip mass is investigated. The pipe is modelled by the Euler-Bernoulli beam theory in which rotatory inertia and shear deformation effects are ignored. The equation of motion is derived by the energy expressions using extended Hamilton's Principle. The crack section is represented by a local flexibility matrix connecting two undamaged pipe segments. The influence of the crack severity, the position of crack, the mass ratio, and a tip mass on the stability of a cantilever pipe conveying fluid are studied by the numerical method. Besides, the critical flow velocity and the stability maps of the pipe system as a function of mass ratios($\beta$) for the changing each parameter are obtained.