• 제목/요약/키워드: Reynolds-Average Navier-Stokes Equations

검색결과 14건 처리시간 0.02초

A Comparison Study Between Navier-Stokes Equation and Reynolds Equation in Lubricating Flow Regime

  • Song, Dong-Joo;Seo, Duck-Kyo;William W. Schultz
    • Journal of Mechanical Science and Technology
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    • 제17권4호
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    • pp.599-605
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    • 2003
  • For practical calculations, the Reynolds equation is frequently used to analyze the lubricating flow. The full Navier-Stokes Equations are used to find validity limits of Reynolds equation in a lubricating flow regime by result comparison. As the amplitude of wavy upper wall increased at a given average channel height, the difference between Navier-Stokes and lubrication theory decreased slightly : however, as the minimum distance in channel throat increased, the differences in the maximum pressure between Navier-Stokes and lubrication theory became large.

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.

원심다익송풍기의 고효율 설계를 위한 수치최적설계 (Numerical Optimization of A Multi-Blades Centrifugal Fan For High-Efficiency Design)

  • 서성진;김광용
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2003년도 유체기계 연구개발 발표회 논문집
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    • pp.385-390
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    • 2003
  • 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 Wavier-Stokes equations with standard $k-{\varepsilon}$ 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.

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봅슬레이의 형상변화가 공력성능에 미치는 영향 (Effects of Geometric Parameters of a Bobsleigh on Aerodynamic Performance)

  • 심현석;정효연;김준희;김광용
    • 대한기계학회논문집 C: 기술과 교육
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    • 제3권3호
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    • pp.233-240
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    • 2015
  • 본 연구에서는 다양한 형상변수들이 봅슬레이의 공력성능에 미치는 영향을 평가하기 위하여 삼차원 Reynolds-averaged Navier-Stoke 해석을 수행하였으며, 난류모델로는 표준 k-${\varepsilon}$ 모델이 사용하였다. 격자계로는 비정렬 사면체 격자를 사용하였다. 성능 평가를 위한 형상변수로는 전방범퍼의 장축의 길이, 범퍼의 높이, 그리고, 카울링 측면과 정면 각각에서의 곡률반경 등 네가지 변수를 설정하였으며. 이들이 공력성능으로 선정된 항력계수에 미치는 영향을 평가하였다. 해석결과, 범퍼의 높이와 카울링 측면의 곡률반경이 항력계수에 민감한 영향을 미침을 알 수 있었다.

A numerical investigation of the effects of Reynolds number on vortex-induced vibration of the cylinders with different mass ratios and frequency ratios

  • Kang, Zhuang;Zhang, Cheng;Chang, Rui;Ma, Gang
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제11권2호
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    • pp.835-850
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    • 2019
  • The numerical simulations for the Vortex-induced Vibration (VIV) of the cylinders with different combinations of mass ratio and frequency ratio were performed under the Reynolds (Re) number ranges of 1450-10200, 5800-40800 and 13050-91800 by using the embedded programs in OpenFoam. By combining with the modified SST k-ω turbulence model, the coupled Unsteady Reynolds-Average Navier-Stokes equations and double-degree-of-freedom vibration equations were solved. After analyzing the results, it is found that the some characteristics of the VIV have changed with the increase of the range of Re number, and the effects of Re number on vibration characteristics are also different under different combinations of mass ratio and frequency ratio. On this basis, the influence law of Re number on the characteristics of VIV of the cylinders is summarized, which can provide a reference for the research of VIV under higher Re number.

Numerical Study of Three-Dimensional Compressible Flow Structure Within an S-Duct for Aircraft Engine Inlet

  • Cho, Soo-Yong;Park, Byung-Kyu
    • International Journal of Aeronautical and Space Sciences
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    • 제1권1호
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    • pp.36-47
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    • 2000
  • Three-dimensional compressible turbulent flow fields within the passage of a diffusing S-duct have been simulated by solving the Navier-Stokes equations with SIMPLE scheme. The average inlet Mach number is 0.6 and the Reynolds number based on the inlet diameter is $1.76{\times}10^6$ The extended $k-{\varepsilon}$ turbulence model is applied to modeling the Reynolds stresses. Computed results of the flow in a circular diffusing S-duct provide an understanding of the flow structure within a typical engine inlet system. These are compared with experimental wall static-pressure, total-pressure fields, and secondary velocity profiles. Additionally, boundary layer thickness, skin friction values, and streamlines in the symmetric plane are presented. The computed results depict the interaction between the low energy flow by the flow separation and the high energy flow by the reversed duct curvature. The computed results obtained using the extended $k-{\varepsilon}$ turbulence model.

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대리모델을 사용한 축류송풍기 블레이드의 형상 최적화 (Shape Optimization of Axial Flow Fan Blade Using Surrogate Model)

  • 김진혁;최재호;김광응
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회B
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    • pp.2440-2443
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    • 2008
  • This paper presents a three dimensional shape optimization procedure for a low-speed axial flow fan blade with a weighted average surrogate model. Reynolds-averaged Navier-Stokes equations with shear stress transport turbulence model are discretized by finite volume approximations. Six variables from airfoil profile and lean are selected as design variables. 3D RANS solver is used to evaluate the objective functions of total pressure efficiency. Surrogate approximation models for optimization have been employed to find the optimal design of fan blade. A search algorithm is used to find the optimal design in the design space from the constructed surrogate models for the objective function. The total pressure efficiency is increased by 0.31% with the weighted average surrogate model.

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가중평균대리모델을 이용한 환기용 축류송풍기의 고효율 최적설계 (High-Efficiency Design of a Ventilation Axial-Flow Fan by Using Weighted Average Surrogate Models)

  • 김재우;김진혁;이찬;김광용
    • 대한기계학회논문집B
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    • 제35권8호
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    • pp.763-771
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    • 2011
  • 본 연구에서는 환기용 축류송풍기에 대하여 효율을 목적함수로 하는 수치최적설계를 수행하였다. 유동해석은 삼차원 Reynolds-averaged Navier-Stokes(RANS) 방정식을 통하여 이뤄졌으며, 난류모델로는 Shear Stress Transport 모델을 사용하였다. 최적설계를 위한 설계변수로는 허브비, 날개의 중간 및 팁 스팬에서의 엇갈림각을 사용하였다. 실험계획법으로 라틴하이퍼큐브 샘플링 방법을 사용하여 설계영역 내에서 25개의 실험점을 추출하였다. 최적설계기법인 가중평균대리모델과 삼차원 RANS 해석을 결합하여 수치최적설계를 수행하였으며, 가중평균대리모델로는 WTA1, WTA2 및 WTA3 모델을 사용하였다. 수치 최적설계에 의해 얻어진 최적형상들의 성능을 기준형상과 비교하였으며, 성능이 가장 좋은 모델에 대하여 기준형상과의 내부유동장 비교 및 분석을 통해 성능이 향상된 원인을 규명하였다.

Hypersonic Panel Flutter Analysis Using Coupled CFD-CSD Method

  • ;김동현;오일권
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 추계학술대회 논문집
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    • pp.171-177
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    • 2011
  • In this paper, a square simply supported panel flutter have been considered at high supersonic flow by using coupled fluid-structure (FSI) analysis that based on time domain method. The Reynolds-Average Navier Stokes (RANS) equation with Spalart-Allmaras turbulent model were applied for unsteady flow problems of panel flutter. A fully implicit time marching schemed based on the Newmark direct integration method is used for calculating the coupled aeroelastic governing equations of it. In addition, the SOL 145 solver of MSC.NASTRAN was used to investigate flutter velocity based on PK-method of Piston theory. Our numerical results indicated that there is a good agreement result between Piston Theory in MSC.NASTRAN and coupled fluid-structure analysis.

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중첩선과 단면형상을 고려한 축류 송풍기 날개의 최적설계 (Optimization of Stacking Line and Blade Profile for Design of Axial Flow Fan Blade)

  • 압두스 사마드;이기상;정상호;김광용
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 춘계학술대회논문집
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    • pp.420-423
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    • 2008
  • This present work is to find optimum design of a NACA65 axial fan blade with weighted average surrogate model. The numerical analysis by Reynolds-average Navier-Stokes equations with shear stress turbulence(SST) is discretized by finite volume approximations and solved on hexahedral grids for flow analysis. The blade aerodynamic shape is modified by six design variables for the optimization. The blade profile as well as stacking line is modified to enhance blade total efficiency. Six design variables, airfoil maximum camber, maximum camber location, leading edge radius, trailing edge radius, lean angle at 50% span and lean angle at 100% span, are selected for blade profile to enhance the total efficiency. The PBA model which is basically weighted average of the basis surrogates is used to find the optimal design in the design space from the constructed response surface model for the objective function. By the optimization, the total efficiency is increased by 1.4%.

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