• Title/Summary/Keyword: Reynolds Equations

검색결과 753건 처리시간 0.022초

베어링 입구에서 발생하는 선단압력에 관한 연구 (A Study on the Inlet Pressure Build-Up at Bearing Entrance)

  • 김종수;김경웅
    • 대한기계학회논문집
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    • 제17권8호
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    • pp.1921-1930
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    • 1993
  • In order to evaluate the inlet pressure correctly, the full Navier-Stokes equations are solved numerically for the computational domain which covers the cavity region between pads as well as the bearing film. A nonuiform grid system is adopted to reduce the number of grid points, and the numerical solutions are obtained for a wide range of Reynolds number in laminar regime with various values of the distance between pads. The numerical results show that the inlet pressure is significantly affected by Reynolds number and the distance between pads. An expression for the loss coefficient in terms of Reynolds number and non-dimensional distance between pads is obtained on the basis of the numerical results. It is found that the inlet pressure over the whole range of numerical solutions can be fairly accurately estimated by applying the formula for the loss coefficient to the extended Bernoulli equation.

Assessment of Reynolds Stress Turbulence Closures in the Calculation of a Transonic Separated Flow

  • Kim, Kwang-Yong;Son, Jong-Woo;Cho, Chang-Ho
    • Journal of Mechanical Science and Technology
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    • 제15권7호
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    • pp.889-894
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    • 2001
  • In this study, the performances of various turbulence closure models are evaluated in the calculation of a transonic flow over axisymmetric bump. k-$\varepsilon$, explicit algebraic stress, and two Reynolds stress models, i.e., GL model proposed by Gibson & Launder and SSG model proposed by Speziale, Sarkar and Gatski, are chosen as turbulence closure models. SSG Reynolds stress model gives best predictions for pressure coefficients and the location of shock. The results with GL model also show quite accurate prediction of pressure coefficients down-stream of shock wave. However, in the predictions of mean velocities and turbulent stresses, the results are not so satisfactory as in the prediction of pressure coefficients.

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Numerical Analysis of Flow and Pollutant Dispersion over 2-D Bell Shaped Hills

  • Jung, Young-Rae;Park, Keun;Park, Warn-Gyu;Park, Ok-Hyun
    • Journal of Mechanical Science and Technology
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    • 제17권7호
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    • pp.1054-1062
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    • 2003
  • The numerical simulations of flow and pollutant particle dispersion are described for two-dimensional bell shaped hills with various aspect ratios. The Reynolds-averaged incompressible Navier-Stokes equations with low Reynolds number $\kappa$-$\varepsilon$ turbulent model are used to simulate the flowfield. The gradient diffusion equation is used to solve the pollutant dispersion field. The code was validated by comparison of velocity, turbulent kinetic energy, Reynolds shear stress, speed-up ratio, and ground level concentration with experimental and numerical data. Good agreement has been achieved and it has been found that the pollutant dispersion pattern and ground level concentration have been strongly influenced by the hill shape and aspect ratio, as well as the location and height of the source.

저 레이놀즈수에 적용 가능한 가상경계기법 (AN IMMERSED BOUNDARY METHOD FOR LOW REYNOLDS NUMBER FLOWS)

  • 박현욱;이창훈;최정일
    • 한국전산유체공학회지
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    • 제18권3호
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    • pp.34-41
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    • 2013
  • We develop a novel immersed boundary (IB) method based on implicit direct forcing scheme for incompressible flows. The proposed IB method is based on an iterative procedure for calculating the direct forcing coupled with the momentum equations in order to satisfy no-slip boundary conditions on IB surfaces. We perform simulations of two-dimensional flows over a circular cylinder for low and moderate Reynolds numbers. The present method shows that the errors for estimated velocities on IB surfaces are significantly reduced even for low Reynolds number with a fairly large time step while the previous methods based on direct forcing failed to provide no-slip boundary conditions on IB surfaces.

수평 사각채널 내 저 레놀즈수 혼합대류 유동의 3차원 수치해석 (3-D Numerical Analysis on a low Reynolds Number Mixed Convection in a Horizontal Rectangular Channel)

  • 박일용;배대석
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2005년도 전기학술대회논문집
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    • pp.210-215
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    • 2005
  • A three-dimensional numerical simulation is performed to investigate on a low Reynolds number mixed convection in a horizontal rectangular channel with the upper part cooled and the lower part heated uniformly. The three-dimensional governing equations are solved using a finite volume method. For convective term, the central differencing scheme is used and for the pressure correction, the PISO algorithm is used. Solutions are obtained for A=4, Pr=0.72, 10, 909, the Reynolds number ranging from $2.1{\times}10^{-2}$ to $1.2{\times}10^{-1}$, the Rayleigh number is $3.5{\times}10^4$. It is found that vortex roll structures of mixed convection in horizontal rectangular channel can be classified into three roll structures which affected by Prandtl number and Reynolds number.

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NUMERICAL SOLUTION OF A CONSTRICTED STEPPED CHANNEL PROBLEM USING A FOURTH ORDER METHOD

  • Mancera, Paulo F. de A.;Hunt, Roland
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제3권2호
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    • pp.51-67
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    • 1999
  • The numerical solution of the Navier-Stokes equations in a constricted stepped channel problem has been obtained using a fourth order numerical method. Transformations are made to have a fine grid near the sharp corner and a long channel downstream. The derivatives in the Navier-Stokes equations are replaced by fourth order central differences which result a 29-point computational stencil. A procedure is used to avoid extra numerical boundary conditions near the solid walls. Results have been obtained for Reynolds numbers up to 1000.

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봅슬레이 범퍼 형상에 대한 공력학적 연구 (AERODYNAMIC STUDY ON BOBSLEIGH BUMPER SHAPE)

  • 이영남;김광용
    • 한국전산유체공학회지
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    • 제20권2호
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    • pp.37-45
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    • 2015
  • A parametric study on the shapes of bobsleigh bumpers has been performed to reduce the aerodynamic drag. Effects of geometric parameters, such as leading angle of leading bumper, the ratio of minimum width to maximum width of leading bumper, the ratio of leading bumper length to trailing bumper length, trailing angle of trailing bumper, and the ratio of bumper height to installation location of bumper from the bottom of bobsleigh, on the aerodynamic performance of the bobsleigh were estimated using 3-D Reynolds-averaged Navier-Stokes equations. The turbulence was analyzed using the shear stress turbulence model. Reynolds number based on the hydraulic diameter of the external flow channel was in the range of 150,000~1,000,000. Numerical results for drag coefficient were validated compared to experimental data. Ranges of the five geometric parameters were determined according to the rule of Federation Internationale de Bobsleigh et de Tobaganning. The aerodynamic performance of the bobsleigh sled was most sensitive to the leading angle of leading bumper and the ratio of minimum width to maximum width of leading bumper.

동심환내에서 회전하는 실린더에 작용하는 유체동하중 (Fluid-dynamic Forces Acting on the Rotating Inner Cylinder In Concentric Annulus)

  • 심우건
    • 소음진동
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    • 제11권3호
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    • pp.428-436
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    • 2001
  • The rotating inner cylinder executes a periodic translational motion in concentric annulus while the outer one is stationary. In the study of flow-induced vibrations and relaxed instabilities, it is of interest to evaluate the fluid-dynamic forces acting on the rotating inner cylinder. In the present work, the governing equations for the confined flow are expressed as Navier-Stokes equations, including the steady and unsteady terms. The fluid parameters for steady flow generated by the rotating cylinder are determined analytically while the unsteady ones by the oscillatory motion are evaluates by a numerical method based on the spectral collocation method. In order to validate the numerical approach, the numerical results are compared wish the analytical ones given by existing theories, for simple cases where the both approaches are applicable. Good agreement was found between the results. It is found the effects of the Reynolds number, defined by rotating velocity, on the fluid-dynamic forces are important for the case of relatively low oscillatory Reynolds number, defined by oscillatory frequency : j.e., in case of $Re_\omega\gg Re_S$.

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초음속 흡입구 유동의 수치모사 (Numerical Simulation of Supersonic Inlet Flow)

  • 곽인근;유일용;이승수;정석영
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2009년도 춘계학술대회 논문집
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    • pp.133-137
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    • 2009
  • Bleed 영역이 있는 흡입구 주위의 초음속 유동에 대한 수치 모사를 수행하였다. 이를 위하여 RANS(Reynolds Averaged Navier-Stokes) 방정식과 2-방정식 난류 모델 방정식을 기반으로 한 기존의 코드를 축대칭형으로 변환하고 bleed 경계 조건을 적용하였다. 본 논문에서는 개발한 코드를 검증하기 위해 범프(bump)와 경사충격파와 bleed 영역이 있는 평판 주위에서의 흐름에 대해 실험치 및 타 수치 해석 결과와 비교하였다. 개발한 코드를 이용하여 bleed 장치가 장착된 축대칭 초음속 흡입구 주변의 유동에 대한 수치 모사를 수행하였다.

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회전요동하는 원통내의 유동특성 - 수치해석 및 실험 (Fluid Flow in a Circular Cylinder Subject to Circulatory Oscillation-Numerical Analysis and Experiment)

  • 서용권;박준관
    • 대한기계학회논문집B
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    • 제20권12호
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    • pp.3970-3979
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    • 1996
  • A fluid flow inside a circular cylinder subject to horizontal, circular oscillation is analyzed numerically and experimentally. The steady streaming velocities at the edges of the boundary layers on the bottom and side surfaces of the cylinder obtained in the previous paper are used as the boundary conditions in the governing equations for the steady flow motion in the interior region. The Stokes' drift velocity obtained in the previous paper also constitutes the Lagrangian velocity which is used in the momentum equations. It turns out that the interior steady flow is composed of one cell, ascending at the center and descending near the side surface, at the streaming Reynolds number 2500. However, at the streaming Reynolds number 25, the flow field is divided into two cells resulting in a descending flow at the center. The experimentally visualized flow patterns at the bottom surface agree well with the analytical solutions. The visualization experiment also confirms the flow direction as well as the center position of the cell obtained by the numerical solutions.