• Title/Summary/Keyword: stokes layer

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Design Optimization of Axial Flow Compressor Blades with Three-Dimensional N avier-Stokes Solver

  • Lee, Sang-Yun;Kim, Kwang-Yong
    • Journal of Mechanical Science and Technology
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    • v.14 no.9
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    • pp.1005-1012
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    • 2000
  • Numerical optimization techniques combined with a three-dimensional thin-layer Navier-Stokes solver are presented to find an optimum shape of a stator blade in an axial compressor through calculations of single stage rotor-stator flow. Governing differential equations are discretized using an explicit finite difference method and solved by a multi-stage Runge-Kutta scheme. Baldwin-Lomax model is chosen to describe turbulence. A spatially-varying time-step and an implicit residual smoothing are used to accelerate convergence. A steady mixing approach is used to pass information between stator and rotor blades. For numerical optimization, searching direction is found by the steepest decent and conjugate direction methods, and the golden section method is used to determine optimum moving distance along the searching direction. The object of present optimization is to maximize efficiency. An optimum stacking line is found to design a custom-tailored 3-dimensional blade for maximum efficiency with the other parameters fixed.

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A New Pressure-Based PISO-Finite Element Method for Navier-Stokes Equations in All Speed Range (Navier-Stokes 점성유동의 전속도 영역 해석을 위한 새로운 압력기반 PISO-유한요소법)

  • Shim E. B.;Chang K. S.
    • Journal of computational fluids engineering
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    • v.1 no.1
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    • pp.112-122
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    • 1996
  • A finite element scheme using the concept of PISO method has been developed to solve the Navier-Stokes viscous flows in all speed range. This scheme includes development of new pressure equation that retains both the hyperbolic term related with the density variation and the elliptic term reflecting the incompressibility constraint. The present method is applied to the incompressible two-dimensional driven cavity flow problems(Re=100, 400 and 1,000). For compressible flows, the Carter plate problem(M=3 and Re=1,000) is computed. Finally, we have simulated the shock-boundary layer interaction(M=2 and Re=2.96×10/sup 5/), a more difficult problem, and compared its results with the experiment to demonstrate the shock capturing capability of the present solution algorithm.

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Influence of Flow Solvers On Airfoil Shape Optimization (날개꼴의 형상 최적화를 위한 유동방정식 영향 연구)

  • H. T. 경상대학교 항공기계공학부;Ryu B. S.
    • Journal of computational fluids engineering
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    • v.4 no.2
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    • pp.67-73
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    • 1999
  • In the present paper, three types of the flow solvers were used to investigate the influence on the airfoil shape optimization. The adopted equations, i.e., Euler, thin layer Navier-Stokes and full Navier-Stokes ones. are solved using implicit LU-ADI decomposition scheme. The gradient projection method with the sinusoidal function was used as an optimization algorithm. The present numerical method was applied to the drag minimization problems under the initial shape of NACA0012 airfoils.

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Influence of Flow Solvers On Airfoil Shape Optimization (날개꼴의 형상 최적화를 위한 유동방정식 영향 연구)

  • Chung H. T.;Ryu B. S.
    • 한국전산유체공학회:학술대회논문집
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    • 1999.05a
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    • pp.171-176
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    • 1999
  • In the present paper, three types of the flow solvers were used to investigate the influence on the airfoil shape optimization. The adopted equations, i.e., Euler , thin layer Navier- Stokes and full Navier-Stokes ones, are solved using implicit LU-ADI decomposition scheme. The feasible direction algorithm with the sinusoidal function was used as an optimization algorithm. The present numerical method was applied to the drag minimization problems under the initial shape of NACA0012 airfoils.

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Effects of Waves and Free-Surface Boundary Conditions on the Flow A Surface-Piercing Flat Plate (수면 관통 평판주위 유동에 미치는 파의 영향 및 자유표면 경계조건에 대한 연구)

  • Choi, Jung-Eun;Stern, F.
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.1
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    • pp.41-49
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    • 1997
  • Computational results from Navier-Stokes equations are presented for the Stokes-wave/flat-plate boundary-layer and wake for small wave steepness(Ak=0.01), including exact and approximate treatments of the viscous free-surface boundary conditions. The macro-scale flow indicate that the variations of the external-flow pressure gradients cause acceleration or deceleration of the streamwise velocity component and alternating direction of the cross flow. Remarkably, the wake displays a greater response, i.e., a bias with regard to favorable as compared to adverse pressure gradients. The micro-scale flow indicates that the free-surface boundary conditions have a profound influence over the boundary layer and near/intermediate wake. Order-of-magnitude estimates are conformed to the computational results. And appreciable errors are introduced through approximations to the free-surface boundary conditions.

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Calculation of two-dimensional incompressible separated flow using parabolized navier-stokes equations (부분 포물형 Navier-Stokes 방정식을 이용한 비압축성 이차원 박리유동 계산)

  • 강동진;최도형
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.5
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    • pp.755-761
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    • 1987
  • Two-Dimensional incompressible laminar boundary layer with the reversed flow region is computed using the parially parabolized Navier-Stokes equations in primitive variables. The velocities and the pressure are explicity coupled in the difference equation and the resulting penta-diagonal matrix equations are solved by a streamwise marching technique. The test calculations for the trailing edge region of a finite flat plate and Howarth's linearly retarding flows demonstrate that the method is accurate, efficient and capable of predicting the reversed flow region.

Study on the Inhibition of Whole Blood Platelet-Aggregation and antioxidative effects from Rhus verniciflua Stokes

  • Jeon, Won-Kyung;Kim, Jung-Hee;Lee, A-Yeong;Kim, Ho-Kyoung
    • Proceedings of the PSK Conference
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    • 2002.10a
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    • pp.380.3-380.3
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    • 2002
  • Rhus verniciflua Stokes (RVS) is a widely used herbal plant with various biological properties. Our previous study using in vitro platelet aggregation in whole blood showed that ethyl acetate layer of RVS had strong anti-aggregatory activity. In this study. to investigate the anti-aggregatory activity and antioxidative effects of RVS ethyl acetate layer. the layer was subsequently fractionated by ODS columm chromatograph (50% MeOH). As a result. the fraction 3 was most inhibited the aggregation of platelet in rat whole blood induced by thrombin and all fraction of RVS was detected strong antioxidative effect. (omitted)

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On the Sediment Transport Characteristics of the Bottom Turbulent Boundary Layer (저면난류경계층(底面亂流境界層)의 저질이동특성(底質移動特性))

  • Kim, Nam Hyeong;Kiyoshi, Takikawa
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.2
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    • pp.267-277
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    • 1993
  • A finite element method(FEM) is presented and applied to the two-dimensional bottom turbulent boundary layer. The time-dependent incompressible motion of a viscous fluid is formulated by using the well-known Navier-Stokes equations and vorticity equation in terms of the velocity and pressure fields. The general numerical formulation is based on Galerkin method and solved by introducing the mixing length theory of Prandtl for eddy kinematic viscosity of a turbulent flow field. Numerical computations of the transport of sediment on an arbitrary sea-bed due to wave motion in the turbulent boundary layer are carried out. The results obtained by the FEM made clear the difference in characteristic features between the boundary layer due to oscillatory flow and the boundary layer due to wave motion.

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Numerical Study of Shock Wave-Boundary Layer Interaction in a Curved Flow Path (굽어진 유로 내부의 충격파-경계층 상호작용 수치연구)

  • Kim, Jae-Eun;Jeong, Seung-Min;Choi, Jeong-Yeol;Hwang, Yoojun
    • Journal of the Korean Society of Propulsion Engineers
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    • v.25 no.6
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    • pp.36-44
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    • 2021
  • Numerical analysis was performed on the shock wave-boundary layer interaction generated in the internal flow path of the curved interstage of the scramjet engine flight test vehicle. For numerical analysis, the turbulence model k-ω SST was used in the compressibility Raynolds Averaged Navier Stokes(RANS) equation. Representatively, the separation bubbles on the upper wall of the nozzle, the interaction between the concave shock wave and the boundary layer, and the shock wave-shock wave interaction at the edge were captured. The analysis result visualizes the shock wave-boundary layer interaction of the curved internal flow path to enhance understanding and suggest design considerations.

Numerical Analysis of Three Dimensional Dynamic Stall of an Oscillating Wing (진동하는 날개의 3차원 동실속에 관한 수치해석)

  • Go, Seong-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.1
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    • pp.62-70
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    • 2001
  • Three-dimensional dynamic stall over an oscillating wing has been analyzed by using a compressible Navier-Stokes code. The code solved the thin-layer Navirer-Stokes equations with a second-order time accuracy for a semispan wing with 0.3048m chord, a NACA 0015 airfoil section, and zero twist Computations were made for a freestream Mach number of 0.29, a chord Reynolds number of 1.95$\times$10(sup)6 and a reduced frequency equal to 0.1. Numerical results were compared with experimental data which include the hysteresis of lift, drag and moment at various wing span. The comparison reveals the quantitative as well as qualitative nature of the three-dimensional dynamic stall.