• Title/Summary/Keyword: 이차원 비압축성 유동

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Numerical Analysis for the Wall Effect in the Two Dimensional Incompressible Flow (이차원 비압축성 유동에서 위벽효과에 대한 수치해석)

  • Kim J. J.;Kim H. T.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.160-166
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    • 1998
  • In this paper, incompressible two-dimensional Navier-Stokes equations are numerically solved for the study of steady laminar flow around a body with the wall effect. A second-order finite difference method is used for the spatial discretization on the nonstaggered grid system and the 4-stage Runge-Kutta scheme for the numerical integration in time. The pressure field is obtained by solving the pressure-Poisson equation with the Neumann boundary condition. To investigate the wall effect, numerical computations are carried out for the NACA 0012 section at the various blockage ratios. The pressure and skin friction on the foil surface, velocity pronto in its wake and drag coefficient are investigated as functions of the blockage ratio.

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HERMITE BICUBIC STREAM FUNCTION METHOD FOR INCOMPRESSIBLE FLOW COMPUTATIONS IN TWO DIMENSIONS (이차원 비압축성 유동 계산을 위한 Hermite 겹 3차 유동 함수법)

  • Kim, J.W.
    • Journal of computational fluids engineering
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    • v.13 no.4
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    • pp.13-23
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    • 2008
  • This paper is an extension of previous study[1] on a development of a divergence-free element method using a hermite interpolated stream function. Divergence-free velocity bases defined on rectangles derived herein produce pointwise divergence-free flow fields. Hence the explicit imposition of continuity constraint is not necessary and the Galerkin finite element formulation for velocities does not involve the pressure. The divergence-free element of the previous study employed hermite (serendipity) cubic for interpolation of stream function, and it has been noted a possible discontinuity in variables along element interfaces. This deficiency can be removed by use of a hermite bicubic interpolated stream function, which requires four degrees-of-freedom at each element corners. Those degrees-of-freedom are the unknown variable, its x- and y-derivatives and its cross derivative. Detailed derivations are presented for both solenoidal and irrotational basis functions from the hermite bicubic interpolated stream function. Numerical tests are performed on the lid-driven cavity flow, and results are compared with those from hermite serendipity cubics and a stabilized finite element method by Illinca et al[2].

HERMITE BICUBIC STREAM FUNCTION METHOD FOR INCOMPRESSIBLE FLOW COMPUTATIONS IN TWO DIMENSIONS (이차원 비압축성 유동 계산을 위한 Hermite 쌍 3차 유동 함수법)

  • Kim, J.W.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.33-41
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    • 2008
  • This paper is an extension of previous study[9] on a development of a divergence-free element method using a hermite interpolated stream function. Divergence-free velocity bases defined on rectangles derived herein produce pointwise divergence-free flow fields. Hence the explicit imposition of continuity constraint is not necessary and the Galerkin finite element formulation for velocities does not involve the pressure. The divergence-free element of the previous study employed hermite serendipity cubic for interpolation of stream function, and it has been noted a possible discontinuity in variables along element interfaces. This deficiency can be removed by use of a hermite bicubic interpolated stream function, which requires at each element corners four degrees-of-freedom such as the unknown variable, its x- and y-derivatives and its cross derivative. Detailed derivations are presented for both solenoidal and irrotational bases from the hermite bicubic interpolated stream function. Numerical tests are performed on the lid-driven cavity flow, and results are compared with those from hermite serendipity cubics and a stabilized finite element method by Illinca et al[7].

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HERMITE BICUBIC STREAM FUNCTION METHOD FOR INCOMPRESSIBLE FLOW COMPUTATIONS IN TWO DIMENSIONS (이차원 비압축성 유동 계산을 위한 Hermite 쌍 3차 유동 함수법)

  • Kim, J.W.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.33-41
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    • 2008
  • This paper is an extension of previous study[9] on a development of a divergence-free element method using a hermite interpolated stream function. Divergence-free velocity bases defined on rectangles derived herein produce pointwise divergence-free flow fields. Hence the explicit imposition of continuity constraint is not necessary and the Galerkin finite element formulation for velocities does not involve the pressure. The divergence-free element of the previous study employed hermite serendipity cubic for interpolation of stream function, and it has been noted a possible discontinuity in variables along element interfaces. This deficiency can be removed by use of a hermite bicubic interpolated stream function, which requires at each element corners four degrees-of-freedom such as the unknown variable, its x- and y-derivatives and its cross derivative. Detailed derivations are presented for both solenoidal and irrotational bases from the hermite bicubic interpolated stream function. Numerical tests are performed on the lid-driven cavity flow, and results are compared with those from hermite serendipity cubics and a stabilized finite element method by Illinca et al[7].

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Unsteady Flow Analysis around an Elliptic Cylinder (타원형 실린더 주위의 비정상 유동 해석)

  • Yim, Y.-T.;Park, Y.-B.;Kim, M.-S.
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.6
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    • pp.15-20
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    • 2005
  • Two-dimensional incompressible Navier-Stokes flow solver is developed using SIMPLER method to study the unsteady viscous flow physics over two-dimensional ellipses. Unsteady viscous flows over various thickness-to-chord ratios of 0.6, 0.8, 1.0, and 1.2 elliptic cylinders are simulated at different Reynolds numbers of 200, 400, and 1,000. This study is focused on the understanding the effects of Reynolds number and elliptic cylinder thickness on the drag and lift forces. The present numerical solutions are compared with available experimental and numerical results and show a good agreement. Through this study, it is observed that the Reynolds number and the cylinder thickness affect not only the frequency of the force oscillations but also the mean values and the amplitudes of the total drag and lift forces significantly.

Experimental Study of Thrust Vectoring of Supersonic Jet Utilizing Co-flowing Coanda Effects (동축류의 코안다 효과를 이용한 초음속 제트의 추력편향제어에 관한 실험적 연구)

  • Yoon, Sang-Hun;Jun, Dong-Hyun;Heo, Jun-Young;Sung, Hong-Gye;Lee, Yeol
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.40 no.11
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    • pp.927-933
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    • 2012
  • The characteristics of two-dimensional supersonic coanda flow was experimentally investigated. For various ratios of slot height to coanda wall's radius of curvature, surface roughnesses, and jet stagnation pressures, the characteristics of the supersonic coanda flow such as shock structures and hysteresis were observed by flow visualization. It was found that the characteristics of hysteresis of the coanda jet was related to the surface roughness of the coanda wall. The study was further extended for application of the tangentially injected coanda jet to control co-flowing highly compressible main jet direction. It was noticed that the stagnation pressure of the main jet as well as the ratio of the slot height to coanda wall's radius of curvature wall was an influencing factor in the performance of the fluidic thrust vectoring method.

Basic Analysis of Bubble Behavior in the Viscous Flow Domain with the Free Interface (자유표면을 가지는 점성 유동장내의 기포거동에 관한 기초해석)

  • I.R. Park;H.H. Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.39 no.1
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    • pp.16-27
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    • 2002
  • A level-set method is used for analyzing the behaviors of gas bubbles in two fluids incompressible viscous flow domain. The governing equations are solved by using a finite volume method. The numerical results are verified by comparing with the experimental and other computational results. Computations for the deformations and motions of one or multi-bubbles in the flow domain with the initial undisturbed free interface are conducted. It can be seen that numerical results for different surface tension and density ratio arise very different behaviors of bubbles. When bubbles rise near the free interface, the free interface gives some great influence on the behaviors of bubbles. The present results computed by a level-set method give useful information about the properties of bubble motions and deformations.

The Numerical Study on the Flow Control of Ammonia Injection According to the Inlet NOx Distribution in the DeNOx Facilities (탈질설비 내에서 입구유동 NOx 분포에 따른 AIG유동제어의 전산해석적 연구)

  • Seo, Deok-Cheol;Kim, Min-Kyu;Chung, Hee-Taeg
    • Clean Technology
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    • v.25 no.4
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    • pp.324-330
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    • 2019
  • The selective catalytic reduction system is a highly effective technique for the denitrification of the flue gases emitted from the industrial facilities. The distribution of mixing ratio between ammonia and nitrogen oxide at the inlet of the catalyst layers is important to the efficiency of the de-NOx process. In this study, computational analysis tools have been applied to improve the uniformity of NH3/NO molar ratio by controlling the flow rate of the ammonia injection nozzles according to the distribution pattern of the nitrogen oxide in the inlet flue gas. The root mean square of NH3/NO molar ratio was chosen as the optimization parameter while the design of experiment was used as the base of the optimization algorithm. As the inlet conditions, four (4) types of flow pattern were simulated; i.e. uniform, parabolic, upper-skewed, and random. The flow rate of the eight nozzles installed in the ammonia injection grid was adjusted to the inlet conditions. In order to solve the two-dimensional, steady, incompressible, and viscous flow fields, the commercial software ANSYS-FLUENT was used with the k-𝜖 turbulence model. The results showed that the improvement of the uniformity ranged between 9.58% and 80.0% according to the inlet flow pattern of the flue gas.