• 제목/요약/키워드: High-Reynolds-Number Flow

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고 레이놀즈수 유동의 수치해석시 벽함수 사용에 관한 연구 (A Study of using Wall Function for Numerical Analysis of High Reynolds Number Turbulent Flow)

  • 최정규;김형태
    • 대한조선학회논문집
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    • 제47권5호
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    • pp.647-655
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    • 2010
  • In this paper, a numerical study is carried out for super-pipe, flat plate and axisymmetric body flows to investigate a validity of using wall function and high $y_1^+$ in calculation of high Reynolds number flow. The velocity profiles in boundary layer agree well with the law of the wall. And it is found that the range of $y^+$��which validated the logarithmic law of the wall grows with increasing Reynolds number. From the result, an equation is suggested that can be used to estimate a maximum $y^+$ value of validity of the log law. And the slope(1/$\kappa$) of the log region of the numerical result is larger than that of experimental data. On the other hand, as $y_1^+$ is increasing, both the friction and the pressure resistances tend to increase finely. When using $y_1^+$ value beyond the range of log law, the surface shear stress shows a significant error and the pressure resistance increases rapidly. However, when using $y_1^+$ value in the range, the computational result is reasonable. From this study, the use of the wall function with high value of $y_1^+$ can be justified for a full scale Reynolds number ship flow.

Numerical Investigation on Flow Pattern over Backward-Facing Step for Various Step Angles and Reynolds numbers

  • Lee, Jeong Hu;Nguyen, Van Thinh
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2021년도 학술발표회
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    • pp.60-60
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    • 2021
  • Investigating Backward-Facing Step(BFS) flow is important in that it is a representative case for separation flows in various engineering flow systems. There have been a wide range of experimental, theoretical, and numerical studies to investigate the flow characteristics over BFS, such as flow separation, reattachment length and recirculation zone. However, most of such previous studies were concentrated only on the perpendicular step angle. In this study, several numerical investigations on the flow pattern over BFS with various step angles (10° ~ 90°) and expansion ratios (1.48, 2 and 3.27) under different Reynolds numbers (5000 ~ 64000) were carried out, mainly focused on the reattachment length. The numerical simulations were performed using an open source 3D CFD software, OpenFOAM, in which the velocity profiles and turbulence intensities are calculated by RANS (Reynolds Averaged Navier-Stokes equation) and 3D LES (Large Eddy Simulation) turbulence models. Overall, it shows a good agreement between simulations and the experimental data by Ruck and Makiola (1993). In comparison with the results obtained from RANS and 3D LES, it was shown that 3D LES model can capture much better and more details on the velocity profiles, turbulence intensities, and reattachment length behind the step for relatively low Reynolds number(Re < 11000) cases. However, the simulation results by both of RANS and 3D LES showed very good agreement with the experimental data for the high Reynolds number cases(Re > 11000). For Re > 11000, the reattachment length is no longer dependent on the Reynolds number, and it tends to be nearly constant for the step angles larger than 30°.) Based on the calibrated and validated numerical simulations, several additional numerical simulations were also conducted with higher Reynolds number and another expansion ratio which were not considered in the experiments by Ruck and Makiola (1993).

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입방형 채널 캐비티 유동의 PIV 해석 (PIV Analysis of Cubic Channel Cavity Flow)

  • 조대환;김진구;이영호
    • Journal of Advanced Marine Engineering and Technology
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    • 제21권5호
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    • pp.557-563
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    • 1997
  • The unsteady flow in three-dimensional cubic cavity with narrow channel at upper region is investigated experimentally for three kinds of Reynolds number, 1*10/sup 4/, 3*10/sup 4/ and 5*10/sup 4/ based on the cavity width and cavity inlet mean flow velocity. Instant velocity vectors are obtained simultaneously at whole field by PIV(Particle Image Velocimetry). Wall pressure distributions are estimated using Poisson equation from the velocity data. Results of PIV reveal that severe unsteady flow fluctuation within the cavity are remarkable at all Reynolds numbers and sheared mixing layer phenomena are also found at the region where inlet driving flow is collided with the clock-wise rotating main primary vortex. Instant velocity profiles reveal that deformed forced vortex formation is observed throughout the entire region and spanwise kinetic energy migration is conspicuous.

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동심원내에서 진동하는 내부 실린더에 작용하는 유체유발력의 근사적 해법 (An Approximate Analytical Method for Hydrodynamic Forces on Oscillating Inner Cylinder in Concentric Annulus)

  • 심우건
    • 소음진동
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    • 제7권5호
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    • pp.861-869
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    • 1997
  • An approximate analytical method has been developed for estimating hydrodynamic forces acting on oscillating inner cylinder in concentric annulus. When the rigid inner cylinder executes translational oscillation, fluid inertia and damping forces on the oscillating cylinder are generated by unsteady pressure and viscous skin friction. Considering the dynamic-characteristics of unsteady viscous flow and the added mass coefficient of inviscid fluid, these hydrodynamic forces including viscous effect are dramatically simplified and expressed in terms of oscillatory Reynolds number and the geometry of annular configuration. Thus, the viscous effect on the forces can be estimated very easily compared to an existing theory. The forces are calculated by two models developed for relatively high and low oscillatory Reynolds numbers. The model for low oscillatory Reynolds number is suitable for relatively high ratio of the penetration depth to annular space while the model for high oscillatory Reynolds number is applicable to the case of relatively low ratio. It is found that the transient ratio between two models is approximately 0.2~0.25 and the forcea are expressed in terms of oscillatory Reynolds number, explicity. The present results show good agreements with an existing numerical results, especially for high and low penetration ratios to annular gap.

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저레이놀즈수 k-$\varepsilon$난류모형 개선에 관한 연구 (A Study on the Development of Low Reynolds Number k-$\varepsilon$ Turbulence Model)

  • 김명호;신종근;최영돈
    • 대한기계학회논문집
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    • 제16권10호
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    • pp.1940-1954
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    • 1992
  • 본 연구에서는 가공기 자체의 파라메터와 성능에 관한 연구로서 출력 에너지 가 서로 다른 가공기를 사용하여 SUS 304 스테인리스 시험편을 관통, 절단하면서 출력 에너지와 최대 출력을 비교하여 보고, 시험편 관통시 주파수와 출력 에너지와의 관계, 시험편 관통시 응융 금속 제거량에 의한 절단 속도의 예측, 서로 다른 출력의 가공에 있어서 슬릿 절단 폭, 커프 폭, 드로스 길이, 절단면의 표면 거칠기 등을 비교하여 출 력차에 따른 가공 특성을 고찰하였다.

액체 로켓엔진의 분사기 유출 특성 (Injector Discharge Characteristics of Liquid Rocket Engine)

  • 조원국;류철성;김영목
    • 한국추진공학회지
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    • 제5권4호
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    • pp.12-19
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    • 2001
  • 액체 로켓엔진의 산화제 분사기에 대한 유출 특성을 고찰하였다. 공동 유동 영역에서 유출 특성에 대한 수치해석 결과를 구하였으며 실험 결과와 비교하여 정량적인 정확성을 확인하였다. 유출계수는 공동 유동의 경우, 공동 수에 비례하였고 공동이 발생하지 않을 경우, 공동 수의 영향을 받지 않았다. 반면에 레이놀즈 수는 유출계수에 큰 영향을 미치지 않았다. 레이놀즈 수가 증가하면 유출계수는 약간 증가하였으며 이는 마찰 손실의 상대적인 감소로 풀이된다.

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강내탄도 해석에 사용되는 Ergun식에 관한 수치적 연구 (NUMERICAL ANALYSIS OF ERGUN'S EQUATION FOR INTERIOR BALLISTIC ANALYSIS)

  • 배세욱;성형건;노태성
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2010년 춘계학술대회논문집
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    • pp.473-478
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    • 2010
  • In this study, the Ergun's equation has been verified in order to calculate pressure drop of the two phase flow. The equation had been used in the high Reynolds number region for interior ballistic analysis in spite of being verified in the low Reynolds number region. Therefore additional verification seems to be inevitable. Thus, the validity of the equation has been verified using CFD in the high Reynolds number cases of the diameter-particle ratio 10, 13 and 16.

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축대칭체 주위 고 레이놀즈수 유동에 대한 수치해석 (Numerical Analysis of High-Reynolds-Number Flow around Axisymmetric Body)

  • 최정규;김형태
    • 대한조선학회논문집
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    • 제45권6호
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    • pp.631-636
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    • 2008
  • In this paper, numerical analysis based on the RANS equation and the Realizable ${\kappa}-{\varepsilon}$ turbulence model is carried out for flows around an axisymmetric body at three Reynolds numbers($1.22{\times}10^7$, $1.0{\times}10^8$, $1.5{\times}10^8$) and the numerical results are compared with experiments data. Computed velocity distributions agree well with experiments as the Reynolds number increases. Pressure distributions agree well with the results of the potential flow except the tail region but differ from experiments for the parallel middle body as well as tail region. Pressure gradients show a good agreement with those of potential flow and experiment except the tail region. Friction coefficients show that the numerical results generally are lower than the experimental results estimated from the measured velocity. The difference of friction coefficients between the calculation and the experiment increases with growing of a boundary layer.

난류 유동을 갖는 가스 포일 스러스트 베어링의 성능 예측 (Performance Predictions of Gas Foil Thrust Bearings with Turbulent Flow)

  • 문진혁;김태호
    • Tribology and Lubricants
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    • 제35권5호
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    • pp.300-309
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    • 2019
  • Gas foil thrust bearings (GFTBs) support axial loads in oil-free, high speed rotating machinery using air or gas as a lubricant. Due to the inherent low viscosity of the lubricant, GFTBs often have super-laminar flows in the film region at operating conditions with high Reynolds numbers. This paper develops a mathematical model of a GFTB with turbulent flows and validates the model predictions against those from the literature. The pressure distribution, film thickness distribution, load carrying capacity, and power loss are predicted for both laminar and turbulent flow models and compared with each other. Predictions for an air lubricant show that the GFTB has high Reynolds numbers at the leading edge where the film thickness is large and relatively low Reynolds numbers at the trailing edge. The predicted load capacity and power loss for the turbulent flow model show little difference from those for the laminar flow model even at the highest speed of 100 krpm, because the Reynolds numbers are smaller than the critical Reynolds number. On the other hand, refrigerant (R-134a) lubricant, which has a higher density than air, had significant differences due to high Reynolds numbers in the film region, in particular, near the leading and outer edges. The predicted load capacity and power loss for the turbulent flow model are 2.1 and 2.3 times larger, respectively, than those for the laminar flow model, thus implying that the turbulent flow greatly affects the performance of the GFTB.

블럭이 부착된 수평 유로에서의 강제대류 열전달 해석 (Forced Convection Cooling Across Rectangular Blocks in a Parallel Channel)

  • 조한승;유재석
    • 에너지공학
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    • 제2권3호
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    • pp.251-257
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    • 1993
  • 유한체적법(Finite Volume Method)을 이용하여 블럭이 부착된 수평 유로의 강제 대류 열전달 현상을 해석하였다. 블럭의 갯수, Reynolds 수 그리고 블럭 간의 간격을 변화시키면서 해석하였고 블럭이 부착된 수평판은 전도벽면 (conducting plate)으로 해석하였다. 블럭내에서는 1/2 체적과 전체적에서 열원이 있다고 가정하였으며, 유동은 2차원 정상상태 비압축성 유동이라고 하였다. 전체적에서 열원이 있는 경우보다 1/2 체적에서 열원이 있는 경우가 전체 온도값이 높게 나타났으며, Reynolds 수와 블럭 사이의 간격이 커질수록 온도값이 낮아진다. 수평판이 단열되어 있는 경우보다 전도벽면으로 해석한 경우가 온도값이 낮게 나타나며 수평판이 단옅되어 있다고 가정한 경우에는 최고온도 값의 위치가 단열면 근처이나 전도벽면의 경우에는 블럭내의 중심에서 우측으로 치우쳐 있다. 그리고, 블럭의 1/2 체적에서 열원이 있는 경우의 최고 온도 위치는 블럭의 전체적에서 열원이 있는 경우의 위치보다 더 상단에 치우침을 알 수 있다. Nusselt 수는 블럭 윗면의 좌측 부분에서 다른 부분보다 높은 수치를 나타내고 있으며 Reynolds 수가 커질수록 Nusselt 수의 값이 증가한다. 그리고, 블럭내의 최고 온도값은 이러한 무차원 변수들과의 상관 함수를 이용하여 예측하였다.

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