• 제목/요약/키워드: average Reynolds equation

검색결과 39건 처리시간 0.02초

조도보정 블록 수로에서의 조도계수 추정 (An Estimation of Roughness Coefficient in a Channel with Roughness Correction Blocks)

  • 최흥식;김시훈
    • 대한토목학회논문집
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    • 제34권1호
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    • pp.107-116
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    • 2014
  • 본 연구는 조도보정 블록수로에서의 체적밀집도를 정의하고, 평균유속(V)과 수리반경(R)의 곱인 VR, 블록 Reynolds수($Re^*$), 항력계수($\acute{C}_D$) 및 바닥전단특성의 바닥조도계수($n_b$)를 분석하여 조도계수(n)를 산정하였다. VR과 블록Reynolds수가 증가함에 따라 조도계수가 감소하여 일정함에 수렴하는 경험적인 양상을 확인하였다. 블록Reynolds수의 증가에 따라 항력계수는 감소하여 일정한 값에 수렴하는 것으로 나타났다. 블록Reynolds수가 큰 난류구간에서는 항력계수는 밀집도로 정의한 조도블록의 형상에 지배적임을 볼 수 있다. 정확한 조도계수의 산정을 위해서는 블록Reynolds수와 체적밀집도에 의한 상관식의 개발이 요구된다. n-VR, $\acute{C}_D-Re^*$, $n_b-\acute{C}_D$상관에 대한 관계곡선식을 제시하였다. 조도계수를 산정할 수 있는 블록Reynolds수와 체적밀집도와의 상관관계식을 제시하였다. 실험결과를 토대로 블록Reynolds수와 체적밀집도에 의한 조도 계수 산정식을 이용한 HEC-RAS의 수리특성 분석결과는 실험결과와 잘 일치함을 보여주어 산정한 조도계수 추정식의 적용성을 확인하였다.

화학적 기계 연마를 위한 탄성변형을 고려한 평균유동모델 (Average Flow Model with Elastic Deformation for CMP)

  • 김태완;이상돈;조용주
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2004년도 학술대회지
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    • pp.331-338
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    • 2004
  • We present a three-dimensional average flow model considering elastic deformation of pad asperities for chemical mechanical planarization. To consider the contact deformation of pad asperities in the calculation of the flow factor, three-dimensional contact analysis of a semi-infinite solid based on the use of influence functions is conducted from computer generated three dimensional roughness data. The average Reynolds equation and the boundary condition of both force and momentum balance are used to investigate the effect of pad roughness and external pressure conditions on film thickness and wafer position angle.

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Surface Topography를 이용한 평행 스러스트 베어링의 혼합윤활 해석 (Mixed Lubrication Analysis of Parallel Thrust Bearing by Surface Topography)

  • 이동길;임윤철
    • Tribology and Lubricants
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    • 제16권2호
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    • pp.106-113
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    • 2000
  • Effects of surface roughness on bearing performances are investigated numerically in this study, especially for the parallel thrust bearing. Although mating surfaces are parallel and separated by thin fluid film, the pressure distribution is formed due to asperities. Model surface is generated numerically with given autocorrelation function and some surface profile parameters. Then the average Reynolds equation is applied to predict the effects of surface roughness between hydrodynamic and mixed lubrication regimes. In this equation, flow factors are defined as correction terms to smooth out high frequency surface roughness. The correlation length is proposed to get the minimum load for the parallel thrust bearing for various sliding conditions.

유체 온도 변화를 고려한 선 접촉면사이의 탄성유체윤활 해석 (n Analysis of Elastohydrodynamic lubrication in Line Contacts-the effect of temperature variation)

  • 서민호;임윤철
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2001년도 제34회 추계학술대회 개최
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    • pp.364-373
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    • 2001
  • This paper describes the variation of lubricant's temperature effects on elastohydrodynamic lubrication. The Newton-Raphson technique was used to solve the simultaneous system of Reynolds and elasticity equations. To show effects of lubricant's temperature, average temperature across the oil film was calculated using the energy equation. Pressure distribution, film shape, and temperature distribution were obtained for fully flooded conjunctions, and various dimensionless speed parameters while load and material parameters were held constant. Minimum film thickness were obtained for various material properties while load and velocity were held constant. It is drawn that the thermal effects have a strong influence on a minimum film thickness under high rolling velocity and slip ratio.

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Darcy-Weisbach와 Hazen-Williams Equation 비교 연구 (A Study on Comparison of the Darcy-Weisbach and Hazen-Williams Equation)

  • 김태경;이경훈;선병진;최천호
    • 상하수도학회지
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    • 제21권4호
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    • pp.421-428
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    • 2007
  • Many engineering problems on the pipeline flow use continuity, energy, friction loss head equation. To calculate friction loss head in a pipeline, Darcy-Weisbach and many average velocity equations can be used and Hazen-Williams equation is used frequently in the pipe network for the water supply systems. Darcy-Weisbach equation is a general one acquired from applying Bernoulli's equation in the pipeline flow and Hazen-Williams equation is a experimental one in case that pipe velocity is below 3m/sec and pipe diameter is over 50mm. In this study, comparing Darcy-Weisbach with Hazen-Williams equation, relation f and C that are expressed as roughness coefficients of those equations is explained. Next, head losses calculated from using those equations are compared and those are applied in realistic pipelines. Comparing f with C, the f is decreasing linearly according to increase of the Reynolds number Re and increasing in case the C is decreasing. additionally, the C is increasing up to a point and then is decreasing according to increase of the Re. Next, the C is increasing and Re's range for increase of the C lengthens in case of decreasing of the relative roughness ${\varepsilon}/d$. Comparing head losses acquired from the two equations, head loss appears large in case that the C is decreasing and the ${\varepsilon}/d$ is increasing. additionally, Head loss calculated by the Darcy-Weisbach equation varies larger than one by Hazen-Williams equation in regard of the Re. Next, change aspect of head loss acquired by the C is distinguished more clearly than the one by the ${\varepsilon}/d$.

돌기 접촉 모델과 평균 유동 분석을 이용한 딤플 패턴의 윤활 특성에 관한 연구 (A study on lubrication Properties of a Dimple Pattern using an Average Flow Analysis with a Contact Model of Asperities)

  • 김미루;이승준;리량;이득우
    • 한국기계가공학회지
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    • 제15권6호
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    • pp.41-49
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    • 2016
  • To evaluate lubrication properties by surface roughness under boundary and mixed lubrication, a new approach is suggested by both asperity flow and contact with stochastic characteristics. Many researchers already have studied the effect of surface roughness on flow. But, it has become important to research of the phenomenon of asperities contact in surfaces because the growth of asperities contact area under heavy load conditions. In this paper, flow factors in the average flow model derived by Patir and Cheng were used, and a multi-asperity contact model was included to calculate lubrication properties of a surface with a randomly generated rough surface. A numerical analysis using the average Reynolds equation with both the average flow model and the asperity contact model was conducted, and the results were compared with those from previous research. The results showed that the influence of asperities on lubrication and the friction coefficient changed rapidly on application of contact model.

원심다익송풍기의 고효율 설계를 위한 수치최적설계 (Numerical Optimization of a Multi-blades Centrifugal Fan for High-efficiency Design)

  • 서성진;김광용
    • 한국유체기계학회 논문집
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    • 제7권3호
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    • pp.32-38
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    • 2004
  • Shape of a multi-blades centrifugal fan is optimized by response surface method based on three-dimensional Navier-Stokes analysis. For numerical analysis, Reynolds-averaged Navier-Stokes equations with standard $k-{epsilon}$ turbulence model are transformed into non-orthogonal curvilinear coordinate system, and are discretized with finite volume approximations. Due to the large number of blades in this centrifugal fan, the flow inside of the fan is regarded as steady flow by introducing the impeller force models for economic calculations. Optimizations with and without constraints are carried out. Design variables, location of cur off, radius of cut off, expansion angle of scroll and width of impeller were selected to optimize the shapes of scroll and blades. Data points for response evaluations were selected by D-optimal design, and linear programming method was used for the optimization on the response surface. As a main result of the optimization, the efficiency was successfully improved. The correlation of efficiency with relative size of inactive zone at the exit of impeller is discussed as well as with average momentum fluxes in the scroll.

CFD를 이용한 해수냉각펌프의 내부유동 분석 (Internal Flow Analysis of Seawater Cooling Pump using CFD)

  • ;양창조;김부기;김준호
    • 해양환경안전학회지
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    • 제23권1호
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    • pp.104-111
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    • 2017
  • 본 연구는 원심펌프 내부 유동장 특성에 대한 시뮬레이션 및 시각화에 중점을 둔다. 3D 수치해석은 Reynolds Average Navier-stock 코드를 k-${\varepsilon}$ 표준 2차방정식 난류 모델로 처리하여 수행하였다. 시뮬레이션은 흡입측, 임펠러, 토출측 영역에서 조도로 인한 마찰 손실과 임펠러 웨어링에서 체적 손실을 포함한다. 해석과 실험사이의 성능곡선 비교결과 최대 5 %의 작은 차이를 보이며 동일한 추세를 나타냈다. 최고 효율점에서 속도 벡터는 고르게 나타났지만 비 설계점에서는 현저한 변화가 나타났고, 텅 부근의 임펠러 유로토출부에서 강력한 재순환 영역이 나타났다. 비교적 일정한 압력분포가 텅 부근임에도 불구하고 임펠러 주위에 관찰되었다. 볼류트 내에서 기하학적으로 인해 형성된 나선형 와류가 이 영역에서 유동장이 상대적으로 난류이고 불안정하다는 것을 증명하였다.

수직평판을 타고 흐르는 층류파동액막류에 대한 체적분율식 시간차분법에 따른 해석 결과 비교 (Comparison of Numerical Results for Laminar Wavy Liquid Film Flows down a Vertical Plate for Various Time-Differencing Schemes for the Volume Fraction Equation)

  • 박일석;김영조;민준기
    • 대한기계학회논문집B
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    • 제35권11호
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    • pp.1169-1176
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    • 2011
  • 액막류는 레이놀즈수 및 유동 안정성에 의해 파동이 없는 층류액막류, 파동을 동반한 층류 액막류 및 난류액막류로 구분된다. 파동액막류는 강한 비선형성에 의해 매우 복잡하여 기존에는 주로 실험적 연구가 진행되었다. 수치적 해석은 주로 파동이 없는 경우에 국한되었으며 여러 가지 자유표면 해석기법을 이용하여 평균액막두께를 예측하였다. 이 연구에서는 층류액막류의 파동현상을 레이놀즈수 20~1000 범위에서 수치해석하였다. 이 때, VOF 자유표면 해석기법에 기반한 여러 가지 수치방법을 비교 연구하였으며 평균액막두께, 파동속도 및 진폭을 실험결과와 비교하였다.

Kurtosis 변화에 따른 Pressure Flow Factor에 관한 연구 (Effects of Kurtosis on the Pressure Flow Factor)

  • 강민호;김태완;구영필;조용주
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2000년도 제31회 춘계학술대회
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    • pp.243-250
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    • 2000
  • In the partial lubrication regime, the roughness effects are most important due to the presence of interacting asperities. An average Reynolds equation using flow factors is very useful to determine effects of surface roughness on partial lubrication. In this paper, the pressure flow factors for Gaussian and non-Gaussian surfaces are evaluated in terms of kurtosis. The effect of kurtosis on pressure flow factor is investigated using random rough surface generated numerically. The pressure flow factor increases with increasing kurtosis in partial lubrication regime(h/$\sigma$<3). As h/$\sigma$increases, the pressure flow factor approach to 1 asymptotically regardless of kurtosis.

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