• Title/Summary/Keyword: 2-dimensional Cylinder

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Lattice-Boltzmann Simulation of Fluid Flow around a Pair of Rectangular Cylinders

  • Taher, M.A.;Baek, Tae-Sil;Lee, Yeon-Won
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.1
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    • pp.62-70
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    • 2009
  • In this paper, the fluid flow behavior past a pair of rectangular cylinders placed in a two dimensional horizontal channel has been investigated using Lattice-Boltzmann Method(LBM). The LBM has built up on the D2Q9 model and the single relaxation time method called the Lattice-BGK(Bhatnagar-Gross-Krook)model. Streamlines, velocity, vorticity and pressure contours are provided to analyze the important characteristics of the flow field for a wide range of non dimensional parameters that present in our simulation. Special attention is paid to the effect of spacing(d) between two cylinders and the blockage ratio A(=h/H), where H is the channel height and h is the rectangular cylinder height. for different Reynolds numbers. The first cylinder is called upstream cylinder and the second one as downstream cylinder. The downstream fluid flow fields have been more influenced by its blockage ratios(A) and Reynolds numbers(Re) whereas the upstream flow patterns(in front of downstream cylinder) by the gap length(d) between two cylinders. Moreover, it is observed that after a certain gap, both upstream and downstream flow patterns are almost similar size and shape. The simulation result has been compared with analytical solution and it is found to be in excellent agreement.

Two-Dimensional Slow Viscous Flow Due to a Stokeslet Near a Slit (Slit 近傍의 Stokeslet 에 의한 2次元의 느린 粘性流動)

  • 고형종;김문언
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.4
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    • pp.386-391
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    • 1983
  • Two-dimensional slow viscous flow due to a stokeslet near a slit is investigated on the basis of Stokes approximation. Velocity fields and stream function are obtained in closed forms by finding two sectionally holomorphic functions which are determined by reducing the problem to Riemann-Hilbert problems. The force exerted on a small cylinder is calculated for the arbitrary position of the cylinder translating in an arbitrary direction. The features of fluid flow are also investigated.

Mechanism of ovalling vibrations of cylindrical shells in cross flow

  • Uematsu, Yasushi;Tsujiguchi, Noboru;Yamada, Motohiko
    • Wind and Structures
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    • v.4 no.2
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    • pp.85-100
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    • 2001
  • The mechanism of wind-induced ovalling vibrations of cylindrical shells is numerically investigated by using a vortex method. The subject of this paper is limited to a two-dimensional structure in the subcritical regime. The aerodynamic stability of the ovalling vibrations in the second to fourth circumferential modes is discussed, based on the results of a forced-vibration test. In the analysis, two modal configurations are considered; one is symmetric and the other is anti-symmetric with respect to a diameter parallel to the flow direction. The unsteady pressures acting on a vibrating cylinder are simulated and the work done by them for one cycle of a harmonic motion is computed. The effects of a splitter plate on the flow around the cylinder as well as on the aerodynamic stability of the ovalling vibrations are also discussed. The consideration on the mechanism of ovalling vibrations is verified by the results of a free-vibration test.

Negative Drift Forces Acting on a 2-Dimensional Cylinder inSlightly Modulated Waves (유한수심의 불규칙파에 놓인 2차원 주상체에 작용하는 음의 표류력)

  • Hang-S.,Choi
    • Bulletin of the Society of Naval Architects of Korea
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    • v.24 no.4
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    • pp.1-8
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    • 1987
  • In this paper negative drift forces are discussed, which act on a two-dimensional cylinder exposed to slightly modulated waves in water of finite depth. By combining matched asymptotic expansion method with multiple scale technique, it is clearly shown that the slowly-varying drift force can be negative under certain circumstances: i) Incident waves are irregular or slightly modulated. ii) The water depth is finite compared to the wave length of carrier waves. iii) The gap between the keel of the cylinder and ocean floor is narrow. Then the negative drift forces are caused by the unbalance of hydrostatic force associated with set down. Real fluid and wave breaking effects are not considered.

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Numerical Analysis of Vortex in the various shapes of 2-dimension (2차원 다양한 형상에서의 Vortex에 대한 수치해석)

  • Gi, Jun-U;Gu, Bon-Chan;Jeong, Min-Yeong;Kim, Sang-Sik;Lee, Do-Hyeong
    • Proceeding of EDISON Challenge
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    • 2012.04a
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    • pp.105-108
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    • 2012
  • 이차원 단면 Cylinder는 외부유동상태에서 후류에 Vortex를 생성한다. 또한 비정상 유동 상태에서는 후류에 카르만 Vortex열을 생성한다. 이런 이차원 Cylinder는 여러 분야에서 사용 된다. 이때 적절한 설계를 위해 수치적으로 유동을 해석할 필요가 있다. 이에 대한 수치적 해석 값을 얻기 위해 Edison CFD를 이용하여 여러 2차원 형상 Cylinder의 Reynolds number에 따른 Vortex shedding을 해석했다. Edison CFD를 통한 시뮬레이션 결과 값에 대한 검증을 얻기 위해 원형, 사각형의 Vortex shedding과 유동을 타 논문과 비교 검증했다. 형상마다 같은 조건의 Reynolds number라도 후류와 유동 등의 형상이 차이를 보인다. 상황마다 적절한 모형의 Cylinder를 Edison CFD를 통해 예측 할 수 있다.

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Sound Attenuation by Cylinders Arranged in a Lattice (격자구조로 배열된 실린더에 의한 음파감쇠)

  • Kim, Hyun-Sil;Kim, Sang-Ryul;Kim, Jae-Seung;Kim, Bong-Ki;Lee, Seong-Hyun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.11
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    • pp.1013-1019
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    • 2011
  • Sound attenuation of periodically arranged cylindrical rods is studied numerically and experimentally. Cross section of the cylinder is circular and arrays are in a square lattice. Cylinders are made of steel, and consist of five groups with different diameters from 27.2 mm to 48 mm. Each group has 5 rows, while number of cylinders in a row varies from 17 to 31. The area filling fraction is about 60~61 %, which leads to the stop bandgap(2.9 kHz ~ 8.4 kHz). Sound attenuation is computed using two-dimensional BEM, and measurement is done by using a speaker and microphones in a semi-anechoic room. Comparison of the results by BEM and experiment shows that attenuation spectra are qualitatively in agreement, although experiment gives higher attenuations than BEM. After results by BEM are scaled up in accordance with cylinder diameter, it is observed that attenuation curves are in good agreement, which confirms that analysis by BEM is done correctly. It is also found that the measured bandgaps are shifted toward lower frequency by 0.5 kHz ~ 1.2 kHz, when compared to the predictions obtained from infinitely repeated two-dimensional cylinder arrays.

Investigation of In-Cylinder Flow Patterns in 4 Valve S. I. Engine by Using Single-Frame Particle Tracking Velocimetry

  • Lee, Ki-hyung;Lee, Chang-sik;Chon, Mun-soo
    • Journal of Mechanical Science and Technology
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    • v.15 no.1
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    • pp.108-116
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    • 2001
  • The in-cylinder flow field of gasoline engine comprises unsteady compressible turbulent flows caused by the intake port, combustion chamber geometry. Thus, the quantitative analysis of the in-cylinder flow characteristics plays an important role in the improvement of engine performances and the reduction of exhaust emission. In order to obtain the quantitative analysis of the in-cylinder gas flows for a gasoline engine, the single-frame particle tracking velocimetry was developed, which is designed to measure 2-dimensional gas flow field. In this paper, influences of the swirl and tumble intensifying valves on the in-cylinder flow characteristics under the various intake flow conditions were investigated by using this PTV method. Based on the results of experiment, the generation process of swirl and tumble flow in a cylinder during intake stroke was clarified. Its effect on the tumble ratio at the end of compression stroke was also investigated.

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Thermal Behavior Analysis on the Cylinder Block of an Automotive Gasoline Engine (자동차용 가솔린 기관의 실린더 블록에 대한 열적 거동 해석)

  • 손병진;김창헌
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.5
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    • pp.211-221
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    • 1998
  • Thermal behavior on the cylinder block of a 4-cylinder, 4-stroke 2.0L SOHC gasoline engine was numerically and experimentally analyzed. The numerical calculation was performed using the finite element method. The cylinder block was modelled as a three dimensional finite element by considering its geometry. The physical domain was devided into hexahedron elements. 16 thermocouples were installed at points of 2mm inside from cylinder wall near top ring of piston in cylinder block, which points have suffered major thermal loads and suggested as proper measurement points for engine design by industrial engineers. Under full load and 9$0^{\circ}C$ coolant temperature condition, temperature behavior of cylinder block according to engine speed were analyzed. The results showed that temperature rose gradually to conform to a function of 2nd~4th order of engine speed at intake side, exhaust and siamese side, respectively. As engine load was changed from 100 to 50% by 25% step, temperature curve also conformed to 2nd~7th order function of engine speed. Temperature differences by load condition were similar among 100, 75% and 50%. Under full load and coolant temperature of 11$0^{\circ}C$, temperature behavior were also analyzed and the result also showed conformance to 2n d~7th order function of engine speed. Temperature curve was transferred in parallel upwards corresponding coolant temperature rise.

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The Expressions of Vector Gravity and Gravity Gradient Tensor due to an Elliptical Cylinder (타원 기둥에 의한 벡터 중력 및 중력 변화율 텐서 반응식)

  • Hyoungrea Rim
    • Geophysics and Geophysical Exploration
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    • v.26 no.1
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    • pp.1-7
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    • 2023
  • This study derives the expressions of vector gravity and gravity gradient tensor due to an elliptical cylinder. The vector gravity for an arbitrary three-dimensional (3D) body is obtained by differentiating the gravitational potential, including the triple integral, according to the shape of the body in each axis direction. The vector gravity of the 3D body with axial symmetry is integrated along the axial direction and reduced to a double integral. The complex Green's theorem using complex conjugates subsequently converts the double integral into a one-dimensional (1D) closed-line integral. Finally, the vector gravity due to the elliptical cylinder is derived using 1D numerical integration by parameterizing a boundary of the elliptical cross-section as a closed line. Similarly, the gravity gradient tensor due to the elliptical cylinder is second-order differentiated from the gravitational potential, including the triple integral, and integrated along the vertical axis direction reducing it to a double integral. Consequently, all the components of the gravity gradient tensor due to an elliptical cylinder are derived using complex Green's theorem as used in the case of vector gravity.

A Study on the Flow around the Circular Cylinder at Low Reynolds Number (저 Reynolds수 에 있어서의 원통주위의 흐름에 관한 연구)

  • 이은선;송강섭
    • Journal of the Korean Institute of Navigation
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    • v.9 no.2
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    • pp.43-63
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    • 1985
  • As a circular cylinder has a comparatively simple shape and becomes a basic problem for flows around other various shapes of bodies, the problem of two-dimensional viscous flow around the circular cylinder has been investigated, both theoretically and experimentally. But not a few problems are left unsolved. It is well known that the calculations are successfully made with the approximations of Stokes or Oseen for very low Reynolds numbers, but as Reynolds number is increased, Oseen's approximations as well as Stokes's ones become more and more remote from the exact solution of the Navier-Stokes equations. Therefore, in this paper, the authors transform the Navier-Stokes equations into the finite difference equations in the steady two-dimensional viscous flow at Reynolds number up to 45, and then solve the solution of the Navier-Stokes equations numerically. Also, the authors examine the accuracy of the solution by means of flow visualization with aluminum powder. The main results are as follows; (1) The critical Reynolds number at which twin vortices begin to form in the rear of the circular cylinder is found to be 6 in the experiment and 4 in the numerical solution. (2) As Reynolds number is increased, it is proved that the ratio of the length of the twin vortices to the diameter is grown almost linearly, both experimentally and numerically. (3) Separation angle is also increased according to reynolds number. But it is found that it would converge into 101.3 degrees, both experimentally and numerically.

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