• Title/Summary/Keyword: Stokes Number

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Unsteady Viscous Flow over Elliptic Cylinders At Various Thickness with Different Reynolds Numbers

  • Kim Moon-Sang;Sengupta Ayan
    • Journal of Mechanical Science and Technology
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    • v.19 no.3
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    • pp.877-886
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    • 2005
  • Two-dimensional incompressible Navier-Stokes equations are solved using SIMPLER method in the intrinsic curvilinear coordinates system to study the unsteady viscous flow physics over two-dimensional ellipses. Unsteady viscous flows over various thickness-to-chord ratios of 0.6, 0.8, 1.0, and 1.2 elliptic cylinders are simulated at different Reynolds numbers of 200, 400, and 1,000. This study is focused on the understanding the effects of Reynolds number and elliptic cylinder thickness on the drag and lift forces. The present numerical solutions are compared with available experimental and numerical results and show a good agreement. Through this study, it is observed that the Reynolds number and the cylinder thickness affect significantly the frequencies of the force oscillations as well as the mean values and the amplitudes of the drag and lift forces.

A Study on Flow Characteristics of Two-Dimensional Backward-Facing Step by CFD (CFD에 의한 2차원 후향계단에서의 재부착 유동특성에 관한 연구)

  • Choi Y. D.;Lee Y. H.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.127-132
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    • 1998
  • The present study is aimed to investigate flow characteristics of Two dimensional backward-facing step by numerical approach. A convection conservative difference scheme based upon SOLA algorithm is used for the solution of the two-dimensional incompressible Navier-Stokes equations to simulate the laminar, transitional and turbulent flow conditions at which the experimental data can be available for the backward-facing step. The twenty kinds of Reynolds number are used for the calculations. In an effort to demonstrate that the reported solutions are dependent on the mesh refinement, computations are performed on seven different meshes of uniformly increasing refinement. Also to investigate the result of inflow dependence, two kinds of the inflow profile are chosen for the laminar flow. As criterion of benchmarking the result of numerical simulation, reattachment length is used for the selected Reynolds numbers.

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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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    • v.17 no.7
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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.

TURBULENT FLOW SIMULATION ON THE GROUND EFFECT ABOUT A 2-DIMENSIONAL AIRFOIL (2차원 날개 주위의 지면효과에 대한 난류 유동장 해석)

  • Kim, Y.S.;Lee, J.E.;Shin, M.S.;Kang, K.J.;Kwon, J.H.
    • Journal of computational fluids engineering
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    • v.11 no.4 s.35
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    • pp.81-89
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    • 2006
  • Two dimensional turbulent flow simulations on the low Mach number - high Reynolds number flow about the NACA 4412 airfoil are carried out as the airfoil approaches a ground. It has turned out that angle of attack between 2 and 8 degrees is recommended for the airfoil to utilize the benefit of ground effect. For the large angle of attack, the increment of lift due to the ground effect is faded away and negative aerodynamic effect such as destabilizing aspect in static longitudinal stability occurs and the separation point moves to forward as the airfoil approaches a ground.

2-DIMENSIONAL AERODYNAMIC SIMULATION ON THE GROUND EFFECT OF THE NACA 4412 AIRFOIL (NACA 4412 날개의 지면효과에 대한 2차원 공력 해석)

  • Kim, Y.;Lee, J.E.;Shin, M.S.;Kang, K.J.;Kwon, J.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2006.10a
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    • pp.199-205
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    • 2006
  • Two dimensional turbulent flow simulations on the low Mach number - high Reynolds number flow about the NACA 4412 airfoil are carried out as the airfoil approaches a ground. It has been turned out that angle of attack between 2 and 8 is recommended for the airfoil to utilize the benefit of ground effect. For the large angle of attack, the increment of lift due to the ground effect is eliminated and negative aerodynamic effect such as destabilizing aspect in static longitudinal stability are occurred as the airfoil approaches a ground.

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Study on Two-Dimensional Laminar Flow Through a Finned Channel (박막이 부착된 채널내의 2차원 층류 유동장에 대한 연구)

  • Yoon, Seok-Hyun;Jeong, Jae-Tack
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.545-550
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    • 2001
  • A two-dimensional laminar flow through a channel, on which a couple of symmetric vertical fins are attached, is investigated. The stokes flow for this channel flow is investigated analytically and laminar flow numerically. For analytic solution, the method of eigen function expansion and collocation method are employed. For numerical solution, finite difference method(FDM) is used to obtain vorticity and stream function. From the results, streamline patterns are shown and the pressure drop due to the attached fins is calculated, which depends on the length of fins and Reynolds number. While $Re, streamline pattern is symmetric, a pair of additional asymmetric solutions appear for $Re>Re_c$, where the critical Reynolds number $Re_c$ depends on the length of the fin.

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Design Optimization of an Impingement Jet on Concave Surface for Enhancement of Heat Transfer Performance (곡면에서의 열전달성능 향상을 위한 충돌제트의 최적설계)

  • Heo, M.W.;Lee, K.D.;Kim, K.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.100-103
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    • 2011
  • In the present work, a numerical study of fluid flow and heat transfer on the concave surface with impinging jet has been performed by solving three-dimensional Reynods-averaged Naver-Stokes(RANS) equations. The constant temperature condition was applied to the concave impingement surface. The inclination angle of jet nozzle and the distance between jet nozzles are chosen as design variables under equivalent mass flow rate of working fluid into cooling channel, and area averaged Nusselt number on concave impingement surface is set as the objective function. Thirteen training points are obtained by Latin Hypercube sampling method, and the PEA model is constructed by using the objective function values at the trainging points. And, the sequential quadratic programming is used to search for the optimal paint from the PBA model. Through the optimization, the optimal shape shows improved heat transfer rate as compared to the reference geometry.

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Effects of Geometry of a Boot-Shaped Rib on Heat Transfer and Pressure Drop (신발형 리브의 형상변화가 열전달 및 압력 강하에 미치는 영향)

  • Seo, Jae-Won;Kim, Jun-Hee;Kim, Kwang-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.18 no.3
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    • pp.66-73
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    • 2015
  • This paper deals with a parametric study on boot-shaped ribs in a rectangular cooling channel. Numerical analysis of the flow and heat transfer was performed using three-dimensional Reynolds averaged Navier-Stokes equations with the Speziale, Sarkar and Gatski turbulence model. The parametric study was performed for the parameters, tip width-to rib width, tip height-to-rib height, rib height-to-channel height, and rib height-to-width ratios. To assess the cooling performance and friction loss, Numsselt number and friction factor were defined as the performance parameter, respectively. The results showed that the cooling performance and friction loss were seriously affected by the four geometric parameters.

Evaluation of Analytical Vibration Characteristics for Triple Cylindrical Shells Filled with Fluid (유체로 채워진 삼중 원통셸의 해석적 진동 특성 평가)

  • 지용관;이영신
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.2
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    • pp.150-160
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    • 2002
  • The free vibration characteristics of the triple cylindrical shells filled with fluid are investigated. The triple cylindrical shells are filled with compressible fluid. The boundary condition is clamped at both ends. Analytical method is developed to evaluate natural frequencies of triple cylindrical shells using Sanders' shell theory and courier series expansion by Stokes' transformation. Their results are compared with those of finite element method to verify the validation of the method developed. The modal characteristics of shells filled with fluid at region 1, 2 and 3 are evaluated.

Unsteady Transonic Flow Analysis over an Oscillatory Airfoil using upwind Navier-Stokes Method (Upwind Navier-Stokes 방법을 이용한 진동하는 익형 주위의 비정상 천음속 유동해석)

  • O Tae Hun;Kim Sang Deok;Song Dong Ju
    • 한국전산유체공학회:학술대회논문집
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    • 1999.05a
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    • pp.137-143
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    • 1999
  • The unsteady transonic viscous flow has been analyzed over an oscillatory airfoil. The CSCM(Conservative Supra Characteristic Method) upwind flux difference splitting method and the iterative time marching scheme having first order accuracy in time and second to third order accuracy in space was applied on dynamic meshes. A steady flow field of Mach number 0.7 has been calculated for the verification of unsteady algorithm. The time-accurate unsteady calculations have been done for NACA 0012 airfoil oscillating around quarter chord about freestream Mach number 0.6 on dynamic meshes. The results have been compared with the AGARD Case 3 experimental data. The periodic characteristics have been compared with the experimental results.

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