• 제목/요약/키워드: Boundary Integral Equation

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임계노즐에서 발생하는 비정상유동에 관한 연구 (Study of the Unsteady Gas Flow in a Critical Nozzle)

  • 김재형;김희동;박경암
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2002년도 유체기계 연구개발 발표회 논문집
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    • pp.337-345
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    • 2002
  • The present study addresses a computational result of unsteady gas flow through a critical nozzle. The axisymmetric, unsteady, compressible, Wavier-Stokes equations are solved using a finite volume method that makes use of the second order upwind scheme for spatial derivatives and the multi-stage Runge-Kutta integral scheme for time derivatives. The steady solutions of the governing equation system are validated with the previous experimental data to ensure that the present computational method is valid to predict the critical nozzle flows. In order to simulate the effects of back pressure fluctuations on the critical nozzle flows, an excited pressure oscillation with an amplitude and frequency is assumed downstream of the exit of the critical nozzle. The results obtained show that for low Reynolds numbers, the unsteady effects of the pressure fluctuations can propagate upstream of the throat of critical nozzle, and thus giving rise to the applicable fluctuations in mass flow rate through the critical nozzle, while for high Reynolds numbers, the pressure signals occurring at the exit of the critical nozzle do not propagate upstream beyond the nozzle throat. For very low Reynolds number, it is found that the sonic line near the throat of the critical nozzle remarkably fluctuateswith time, providing an important mechanism for pressure signals to propagate upstream of the nozzle throat, even in choked flow conditions. The present study is the first investigation to clarify the unsteady effects on the critical nozzle flows.

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시간영역패널법을 사용한 3차원 날개의 동적지면효과 연구 (A Study on the Dynamic Ground Effect on Three-Dimensional Wings Using a Time Domain Panel Method)

  • 한철희;조진수
    • 한국항공우주학회지
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    • 제30권4호
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    • pp.10-17
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    • 2002
  • 간접 경계요소법 (비정상패널법)을 사용하여 3차원 날개의 동적 지면효과에 대한 연구를 수행하였다. Green 정리를 사용하여 경계표면에 대한 적분방정식을 얻었다. 일정강도의 용출 및 용흡중첩을 날개표면에 분포시켰고 후류는 일정강도의 용흡중첩으로 나타내었다. 매 시간간격마다 한 행의 후류 패널들이 날개의 후연에서 하류로 대류한다고 가정하였다. 지면효과를 받는 날개의 익단 와류가 날개길이방향으로 이동하였다. 동적 지면효과를 받는 날개가 가지는 공력계수의 진폭 값이 정적 지면효과를 받는 날개의 경우보다 더욱 증가하였다.

모리슨 항력을 고려한 파랑 중 TLP 거동 특성 연구 (Numerical Study on Wave-Induced Motion Response of Tension Leg Platform in Waves)

  • 조윤상;남보우;홍사영;김진하;김현조
    • 한국해양공학회지
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    • 제28권6호
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    • pp.508-516
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    • 2014
  • A numerical method to investigate the non-linear motion characteristics of a TLP is established. A time domain simulation that includes the memory effect using the convolution integral is used to consider the transient effect of TLP motion. The hydrodynamic coefficients and wave force are calculated using a potential flow model based on the HOBEM(higher order boundary element method). The viscous drag force acting on the platform and tendons is also considered by using Morison’s drag. The results of the present numerical method are compared with experimental data. The focus is the nonlinear effect due to the viscous drag force on the TLP motion. The ringing, springing, and drift motion are due to the drag force based on Morison's formula.

항만(港灣) 및 해안공학파군(海岸工學波群)에 따른 장주기파(長週期波)와 항만(港灣)의 진동(振動) (Group-Bounded Long Waves and Harbor Oscillation)

  • 이철응;이길성
    • 대한토목학회논문집
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    • 제14권3호
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    • pp.607-618
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    • 1994
  • 항만(港灣)의 진동(振動)을 일으키는 발생원인(發生原因)을 규명하고자 항만(港灣) 진동해석(振動解析)에서 현재까지 고려되지 않았던 파군효과(波群效果)를 고려하였다. 동해항(東海港)과 임원항(臨院港)에 대한 항만의 공진주기는 경계적분(境界積分) 방정식법(方程式法)으로 구하였으며, 동해항(東海港) 입구에서 관측된 불규칙(不規則) 파군(波群)에 따른 장주기파(長週期波)는 잉여응력(剩餘應力) 이론(理論)과 에너지 이력개념(履歷槪念)을 이용하여 유도된 이론식(理論式)으로 구하였다. 주기(週期)의 관점에서 해석할 때 파군(波群)에 따른 장주기파(長週期波)는 어항(漁港)과 같은 소규모 항만(港灣)에 큰 진동을 일으킬 수 있으며, 산업항(産業港)과 같은 대규모 항만(港灣)에는 정박중인 선박(船舶)의 동요(動搖)를 일으키는 에너지원(源)이 될 수 있음을 규명(糾明)하였다.

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전자기 주조공정에서의 자유표면 형상 제어 (Control of free surface shape in the electromagnetic casting process)

  • 박재일;강인석
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.612-615
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    • 1996
  • In the continuous casting process, molten metal contacts the mold wall and the molten metal surface is subject to the mold oscillation. The mold oscillation results in the oscillation marks on the surface of solidified steel, which has undesirable effects on the quality of slabs. In order to reduce the oscillation marks by achieving soft contact of molten metal with the mold surface, alternating magnetic field is applied to the surface of molten metal. However, if the magnetic field strength becomes too strong, the melt flow induced by the magnetic field. causes the instability of the molten metal surface, which has also the bad influence on the slab quality. Therefore, it is very important to choose the optimal position of the inductor coil and the optimal level of electric power to minimize the surface defects. In the present work, as a first step toward the optimization problem of the process, numerical studies are performed to investigate the effects of coil position and the electric power level on the meniscus shape and the flow field. As numerical tools, the boundary integral equation method(BIEM) is used for the magnetic field analysis and the finite difference method (FDM) with orthogonal grid generation is used for the flow analysis.

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Moving load induced dynamic response of functionally graded-carbon nanotubes-reinforced pipes conveying fluid subjected to thermal load

  • Tahami, F. Vakili;Biglari, H.;Raminnea, M.
    • Structural Engineering and Mechanics
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    • 제64권4호
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    • pp.515-526
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    • 2017
  • Dynamic response of functionally graded Carbon nanotubes (FG-CNT) reinforced pipes conveying viscous fluid under accelerated moving load is presented. The mixture rule is used for obtaining the material properties of nano-composite pipe. The radial force induced by viscous fluid is calculated by Navier-Stokes equation. The material properties of pipe are considered temperature-dependent. The structure is simulated by Reddy higher-order shear deformation shell theory and the corresponding motion equations are derived by Hamilton's principal. Differential quadrature (DQ) method and the Integral Quadrature (IQ) are applied for analogizing the motion equations and then the Newmark time integration scheme is used for obtaining the dynamic response of structure. The effects of different parameters such as boundary conditions, geometrical parameters, velocity and acceleration of moving load, CNT volume percent and distribution type are shown on the dynamic response of pipe. Results indicate that increasing CNTs leads to decrease in transient deflection of structure. In accelerated motion of the moving load, the maximum displacement is occurred later with respect to decelerated motion of moving load.

수직면에서 작동하는 탄성 매니퓰레이터의 효율적인 제어에 관한 연구 (A Study on the efficient control of an elastic manipulator moving in a vertical plane)

  • 강준원;이중섭;권혁조;오재윤;정재욱
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 추계학술대회 논문집
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    • pp.318-322
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    • 1996
  • This paper presents a technique to control a robot which has a flexible manipulator moving in a vertical plane. The flexible manipulator is modeled as an Euler-Bernoulli beam. Elastic deformation is represented using the assumed modes method. A comparison function which satisfies all geometric and natural boundary conditions of a cantilever beam with an end mass is used as an assumed mode shape. Lagrange's equation is utilized for the development of a discretized model. A control algorithm is developed using a simple PID control technique. The proportional, integral and derivative control gains are determined based on the dominant pole placement method and tuned to show no overshoot and having a short settling time. The effectiveness of the developed control scheme is showed experimentally. In the position control experiment, three different end masses are used. The experimental results shows little overshoot, no steady state error, and less than 2.5 second settling time in case of having an end mass which is equivalent to 45% of the total system weight. Also the residual vibration of the end point is effectively controlled.

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웨지가 있는 원심 임펠러의 유동장 및 방사 음향장 해석(II) -원심홴의 산란 음향장 예측- (An Analysis of the Flow Field and Radiation Acoustic Field of Centrifugal Fan with Wedge -The Prediction of the Scattered Sound Field-)

  • 이덕주;전완호
    • 대한기계학회논문집B
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    • 제25권9호
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    • pp.1165-1174
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    • 2001
  • The objective of this study is to understand the generation mechanism of sound and to develop a prediction method for the acoustic pressure field of a centrifugal fan. If the fan is operating at the free field without the casing, the acoustic analogy is a good method to predict the acoustic of the fan. But, the casing gives a dominant effect to the radiated sound field and the scattering effect of casing should be considered. So, in this paper the Kirchhoff-BEM is developed, which can consider the scattering effect of the rigid body. In order to consider the scattering and diffraction effects owing to the casing, BEM is introduced. The source of BEM is newly developed, so the sound field of the centrifugal fan can be obtained. In order to compare the predicted one with experimental data, a centrifugal impeller and a wedge are used in the numerical calculation and the results are compared with the experimental data. Reasonable results are obtained not only for the peak frequencies but also for the amplitudes of the tonal sound. The radiated acoustic field shows the diffraction and scattering effects of the wedge clearly.

Hydro-structural issues in the design of ultra large container ships

  • Malenica, Sime;Derbanne, Quentin
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제6권4호
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    • pp.983-999
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    • 2014
  • The structural design of the ships includes two main issues which should be checked carefully, namely the extreme structural response (yielding & buckling) and the fatigue structural response. Even if the corresponding failure modes are fundamentally different, the overall methodologies for their evaluation have many common points. Both issues require application of two main steps: deterministic calculations of hydro-structure interactions for given operating conditions on one side and the statistical post-processing in order to take into account the lifetime operational profile, on the other side. In the case of ultra large ships such as the container ships and in addition to the classical quasi-static type of structural responses the hydroelastic structural response becomes important. This is due to several reasons among which the following are the most important: the increase of the flexibility due to their large dimensions (Lpp close to 400 m) which leads to the lower structural natural frequencies, very large operational speed (> 20 knots) and large bow flare (increased slamming loads). The correct modeling of the hydroelastic ship structural response, and its inclusion into the overall design procedure, is significantly more complex than the evaluation of the quasi static structural response. The present paper gives an overview of the different tools and methods which are used in nowadays practice.

대진폭강제동요시(大振幅强制動搖時)의 비선형유체력(非線型流體力)에 관한 연구(硏究) (On the Nonlinear Hydrodynamic Forces due to Large Amplitude Forced Oscillations)

  • 황종흘;김용직;김선영
    • 대한조선학회지
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    • 제23권2호
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    • pp.1-13
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    • 1986
  • The nonlinear hydrodynamic forces acting on a two-dimensional circular cylinder, oscillating with large amplitude in the free surface, are calculated by using the Semi-Lagrangian Time-Step-ping Method used by O.M. Faltinsen. In present calculation the position and the potential value of free surface are calculated using the exact kinematic and dynamic free surface boundary condition. At each time step an integral equation is solved to obtain the value of potential and normal velocity along the boundaries, consisting of both the body surface and the free surface. Some effort was devoted to the elimination of instability arising in the range of high frequency. Numerical simulations were performed up to the 3rd or 4th period which seems to be enough for the transient effect to die out. Each harmonic component and time-mean force are obtained by the Fourier transform of forces in time domain. The results are compared with others' experimental and theoretical results. Particularly, the calculation shows the tendency that the acceleration-phase 1st-harmonic component(added mass) increases as the motion amplitude increases and a reverse tendency in the velocity-phase 1st-harmonic component(damping coefficient). The Yamashita's experimental result also shows the same tendency. In general, the present result show relatively good agreement with the Yamashita's experimental result except for the time-mean force.

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