• Title/Summary/Keyword: Backward-facing Step

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유선상류 유한요소법을 이용한 유동장의 해석 (An Analysis of Fluid Flow Using the Streamline Upwinding Finite Element Method)

  • 최형권;유정열
    • 대한기계학회논문집
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    • 제18권3호
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    • pp.624-634
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    • 1994
  • A numerical method which combines equal-order velocity-pressure formulation originated from SIMPLE algorithm and streamline upwinding method has been developed. To verify the proposed numerical method, we considered the lid-driven cavity flow and backward facing step flow. The trend of convergence history is stable up to the error criterion beyond which the maximum value of error is oscillatory due4 to the round-off error. In the present study, all results were obtained with the single precision calculation up to the given error criterion and it was found to be sufficient for our purpose. The present results were then compared with existing experimental results using laser doppler velocimetry and numerical results using finite difference method and mixed interpolation finite element method. It has been shown that the present method gives accurate results with less memories and execution time than the coventional finite element method.

Finite element analysis of 2D turbulent flows using the logarithmic form of the κ-ε model

  • Hasebe, Hiroshi;Nomura, Takashi
    • Wind and Structures
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    • 제12권1호
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    • pp.21-47
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    • 2009
  • The logarithmic form for turbulent flow analysis guarantees the positivity of the turbulence variables as ${\kappa}$ and ${\varepsilon}$ of the ${\kappa}-{\varepsilon}$ model by using the natural logarithm of these variables. In the present study, the logarithmic form is incorporated into the finite element solution procedure for the unsteady turbulent flow analysis. A backward facing step flow using the standard ${\kappa}-{\varepsilon}$ model and a flow around a 2D square cylinder using the modified ${\kappa}-{\varepsilon}$ model (the Kato-Launder model) are simulated. These results show that the logarithmic form effectively keeps adequate balance of turbulence variables and makes the analysis stable during transient or unsteady processes.

난류 Offset 분류에 관한 수치해석 (Calculation of Turbulent Offset Jet)

  • 이우정;김광용;조용철
    • 한국정밀공학회지
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    • 제8권4호
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    • pp.23-32
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    • 1991
  • The paper discusses the problem of the flow over the backward facing step and the offset jet, which are calculated numerically. Standard k- .epsilon. model and its LPS modification are used as turbulence models. Hybrid central/upwind scheme and skew- upwind scheme are used as numerical schemes. The numerical scheme has a strong influence on the offset jet rather than the flow over backward facing step. The skew-upwind scheme gives good results in both cases. However, the k- .epsilon. model with LPS modification yields no remarkable improvements in the predictions of both flows. The skew-upwind scheme improves the prediction of reattachment length in the offset jet.

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난류박리 및 재부착 유동의 해석을 위한 비선형 저레이놀즈수 k -$\varepsilon$ 난류모형의 개발 (A Nonlinear Low-Reynolds-Number k -$\varepsilon$ Model for Turbulent Separated and Reattaching Flows)

  • 박태선;성형진
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.2051-2063
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    • 1995
  • An improved version of nonlinear low-Reynolds-number k-.epsilon. model is developed. In this model, the limiting near-wall behavior and nonlinear Reynolds stress representations are incorporated. Emphasis is placed on the adoption of Ry(.iden. $k^{1}$2/y/.nu.) instead of $y^{[-10]}$ (.iden. $u_{{\tau}/y/{\nu}}$) in the low-Reynolds-number model for predicting turbulent separated and reattaching flows. The non-equilibrium effect is examined to describe recirculating flows away from the wall. The present model is validated by doing the benchmark problem of turbulent flow behind a backward-facing step. The predictions of the present model are cross-checked with the existing measurements and DNS data. The model performance is shown to be generally satisfactory.

난류박리 및 재부착 유동의 해석을 위한 저레이놀즈수 4-방정식 난류모형의 개발 (A Low-Reynolds-Number 4-Equation Model for Turbulent Separated and Reattaching Flows)

  • 이광훈;성형진
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.2039-2050
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    • 1995
  • The nonlinear low-Reynolds-number k..epsilon. model of park and Sung is extended to predict the turbulent heat transports in separated and reattaching flows. The equations of the temperature variance( $k_{\theta}$ and its dissipation rate(.epsilon.$_{\theta}$ are solved, in concert with the equations of the turbulent kinetic energy(k) and its dissiation rate(.epsilon). In the present model, the near-wall effect and the non-equilibrium effect are fully taken into consideration. The validation of the model is then applied to the turbulent flow behind a backward-facing step and the flow over a blunt body. The predicted results of the present model are compared and evaluated with the relevant experiments.

디지털 화상처리를 이용한 유동장의 비접촉 3차원 고속류 계측법의 개발 (Developemet of noncontact velocity tracking algorithm for 3-dimensional high speed flows using digital image processing technique)

  • 도덕희
    • Journal of Advanced Marine Engineering and Technology
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    • 제23권2호
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    • pp.259-269
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    • 1999
  • A new algorithm for measuring 3-D velocity components of high speed flows were developed using a digital image processing technique. The measuring system consists of three CCD cameras an optical instrument called AOM a digital image grabber and a host computer. The images of mov-ing particles arranged spatially on a rotation plate are taken by two or three CCD cameras and are recorderd onto the image grabber or a video tape recoder. The three-dimensionl velocity com-ponents of the particles are automatically obtained by the developed algorithm In order to verify the validity of this technique three-dimensional velocity data sets obtained from a computer simu-lation of a backward facing step flow were used as test data for the algorithm. an uncertainty analysis associated with the present algorithm is systematically evaluated, The present technique is proved to be used as a tookl for the measurement of unsteady three-dimensional fluid flows.

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Resistance Reduction of a High Speed Small Boat by Air Lubrication

  • Jang Jin-Ho;Kim Hyo-Chul
    • Journal of Ship and Ocean Technology
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    • 제10권1호
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    • pp.1-9
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    • 2006
  • The resistance reduction by an air lubrication effect of a large air cavity covering the hull bottom surface and the similarity relations involved have been investigated with a series of towing tank tests of three geometrically similar models. The test results of geometrically similar models have indicated that a large air cavity was formed beneath the bottom having a backward-facing step by artificially supplying air is effective for resistance reduction. The areas of air cavity and the required flow rates of air are directly related to the effective wetted surface area. The traditional extrapolation methods seem to be applicable to the estimation of the resistance in the tested range if corrections are made to account the changes in the frictional resistance caused by the changes in the effective wetted surface area. To investigate the effectiveness of air lubrication in improving the resistance performance of a practical ship, a small test boat having a backward-facing step under its bottom has been manufactured and speed trials in a river have been performed. Air has been supplied artificially into the downstream region of the bottom step to form a large air cavity covering the bottom surface. The results have confirmed the practical applicability of air lubrication for the resistance reduction of a small high-speed boat.

초음속 후향 계단 유동에서 액체 분사로 인한 초음속 제트의 구조 변화 (Structural Change of Supersonic Jet Due to Liquid Injection in Supersonic Backward Facing Step Flow)

  • 안상훈;한두희;최한영;서성현;성홍계
    • 항공우주시스템공학회지
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    • 제13권6호
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    • pp.9-16
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    • 2019
  • 초음속 유동이 흐르는 후향 계단에서 액체 제트가 수직으로 분사되는 유동의 혼합 특성에 대한 실험적 연구를 수행하였다. 작동 유체는 질소와 물을 사용하였다. 쉐도우그래프 기법을 사용하여 유동을 가시화하였으며, 초고속 카메라로 촬영된 영상은 시간 평균화 처리를 통해 분석에 사용하였다. 액체 제트의 주입구는 초음속 질소가스 유동에 의해 생성되는 재순환 영역 내부에 위치하며 유동방향에 수직하게 분사된다. 실험 조건은 질소가스 챔버와 액체 가압탱크의 압력에 따라 나누었다. 각 실험 조건에서 분사된 액체 제트의 침투 깊이와 마하 디스크의 생성 위치의 변화를 관찰하였으며, 운동량비에 따른 유동의 구조 변화에 대해 고찰하였다.

재순환유동 예측을 위한 κ-ε 난류모델 개선에 대한 연구 (A STUDY ON THE IMPROVEMENT OF κ-εTURBULENCE MODEL FOR PREDICTION OF THE RECIRCULATION FLOW)

  • 이영모;김철완
    • 한국전산유체공학회지
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    • 제21권2호
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    • pp.12-24
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    • 2016
  • The standard ${\kappa}-{\varepsilon}$ and realizable ${\kappa}-{\varepsilon}$ models are adopted to improve the prediction performance on the recirculating flow. In this paper, the backward facing step flows are used to assess the prediction performance of the recirculation zone. The model constants of turbulence model are obtained by the experimental results and they have a different value according to the flow. In the case of an isotropic flow situation, decaying of turbulent kinetic energy should follow a power law behavior. In accordance with the power law, the coefficients for the dissipation rate of turbulent kinetic energy are not universal. Also, the other coefficients as well as the dissipation coefficient are not constant. As a result, a suitable coefficients can be varied according to each of the flow. The changes of flow over the backward facing step in accordance with model constants of the ${\kappa}-{\varepsilon}$ models show that the reattachment length is dependent on the growth rate(${\lambda}$) and the ${\kappa}-{\varepsilon}$ models can be improved the prediction performance by changing the model constants about the recirculating flow. In addition, it was investigated for the curvature correction effect of the ${\kappa}-{\varepsilon}$ models in the recirculating flow. Overall, the curvature corrected ${\kappa}-{\varepsilon}$ models showed an excellent prediction performance.