• Title/Summary/Keyword: 저 레이놀즈 $k-{\varepsilon}$ 난류 모델

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A Numerical Study on the Two-Dimensional Turbulent Natural Convection Using a Low-Reynolds Number k-$\varepsilon$ Model (저레이놀즈수 k-$\varepsilon$ 모델을 사용한 2차원 자연대류 난류현상에 대한 수치적 연구)

  • 강덕홍;김우승;이관수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.3
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    • pp.741-750
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    • 1995
  • The turbulent buoyancy-driven flow in 2-dimensional enclosed cavities heated from the vertical side is numerically calculated for both cases of a Rayleigh number of 5*10$^{10}$ for air and 2.5*10$^{10}$ for water. Three different turbulence models are considered : standard k-.epsilon. model of Ozoe and low-Reynolds-number model of Lam and Bremhorst, and another low-Reynolds-number model of Davidson. The results indicate that the use of low-Reynolds number models is recommended for the indoor airflow computation, and the results from Davidson model are reasonably close to the reported experimental data. A sensitivity study shows that the amounts of wall-heat transfer and the velocity profiles with the Lam and Bremhorst model largely depend on the choice of the wall function for .epsilon..

Evaluation of Two-Equation Turbulence Models with Surface Roughness Effect (표면 거칠기 효과를 고려한 2-방정식 난류 모델의 성능평가)

  • Yoon, Joon-Yong;Chun, Jung-Min;Kang, Seung-Kyu;Byun, Sung-Joon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.12
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    • pp.1681-1690
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    • 2003
  • The effect of roughness is a change in the velocity and turbulence distributions near the surface. Turbulence models with surface roughness effect are applied to the fully developed flow in a two-dimensional, rough wall channel. Modified wall function model, low-Reynolds number k-$\varepsilon$ model, and k-$\omega$ model are selected for comparison. In order to make a fair comparison, the calculation results are compared with the experimental data. The modified wall function model and the low-Reynolds number k-$\varepsilon$ model require further refinement, while the k-$\omega$ model of Wilcox performs remarkably well over a wide range of roughness values.

Compressibility Correction Effects of Two-equation Turbulence Models for a Supersonic Through-type Pintle Nozzle with Large Scale Separation Flow (큰 박리유동을 동반한 초음속 관통형 핀틀노즐 유동에 적합한 2-방정식 난류모델의 압축성계수 보정 영향)

  • Heo, Junyoung;Jung, Junyoung;Sung, Hong-Gye;Yang, June-Seo;Lee, Ji-Hyung
    • Journal of the Korean Society of Propulsion Engineers
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    • v.17 no.1
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    • pp.61-69
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    • 2013
  • Numerical simulations have been performed for assessment of compressibility correction of two-equation turbulent models suitable for large scale separation flows perturbed by a pintle strokes. Two-equation turbulence models, the low Reynolds k-${\varepsilon}$ and the k-${\omega}$ SST models with or without compressibility correction proposed by Wilcox and Sarkar are evaluated. The detail flow structures are observed and static pressures along nozzle wall are compared with experimental results. Mach disk location and pressure recovery profiles in flow separation region are noticeably distinct between turbulent models of k-${\varepsilon}$ and k-${\omega}$ SST. The compressible effect corrections to those models improve resolving of separation flow behaviors. The compressibility corrections to k-${\varepsilon}$ model have provided very comparable results with test data.

A study on the three dimensional turbulent flow analysis of wake flow behind rotating blade row between hub and midspan (허브와 중앙스팬 사이의 회전익 후류 3차원 난류유동해석에 관한 연구)

  • No, Su-Hyeok;Jo, Gang-Rae
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.7
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    • pp.911-918
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    • 1997
  • The turbulent viscous wake flows behind a single airfoil, two-dimensional stationary blade row and three-dimensional rotating blade row were calculated, and the numerical results were compared with experimental ones. The numerical technique was based on the SIMPLE algorithm using three turbulent closure models, standard k-.epsilon. model(WFM), low Reynolds number k-.epsilon. model(LRN) and Reynolds stress model (RSM). In the case of a single airfoil, WFM, LRN and RSM presented fairly good velocity distributions in the wake compared with experimental data. In the case of the stationary blade row, LRN and RSM presented better results than WFM for wake velocity distribution, and especially LRN showed best results among these three turbulent models. In the case of the rotating blade row, WFM and LRN showed fairly good agreement with experimental data of the three-dimensional velocity component distributions in the range from hub to mid span region. LRN was also superior to WFM in accuracy of prediction for the wake velocity distribution as same with the cases of a airfoil and the stationary blade row.

Numerical Study on Turbulent Flow in a Conical Diffuser (원추형 디퓨져 내의 난류운동에 관한 수치해석적 연구)

  • 강신형;최영석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.10
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    • pp.1971-1978
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    • 1992
  • A turbulent flow in a conical diffuser with total divergence angle of 8.deg. was numerically studied. The low Reynolds number k-.epsilon. model(Launder-Sharma model) was adopted to simulate the turbulence. The continuity and time averaged Navier-Stokes equations in a nonorthogonal coordinate system were solved by a finite volume method based on the fully elliptic formulation. The low Reynolds number k-.epsilon. model reasonably simulates the pressure recovery and the mean velocity components. However, there are also considerable discrepancies between predicted and measured shear stress distribution on the wall and turbulent kinetic energy distributions. It is necessary to investigate the flow structure at the entry of the diffuser, numerically as well as experimentally.

Numerical analysis of turbulent natural convection in a cylindrical transformer enclosure (변압기를 모델링한 두 개의 동심 원형 실린더 내에서 난류 자연대류의 수치해석)

  • 오건제;하수석
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.11 no.2
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    • pp.157-166
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    • 1999
  • Numerical calculations of turbulent natural convection in an enclosure of the 20 kYA oil-immersed transformer model are presented. The transformer is modelled as two concentric cylinders with different heights and diameters. The thermal boundary layers are well represented in the temperature distributions along the wall of the transformer model. The flow stratification between the hot and cold walls can not be seen in the transformer model. The turbulence eddy viscosity has its maximum at the center of the core and its maximum values at the top of the core are larger than those at the bottom of the core.

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Pressure Loss in the Discharge Flow Path from a Diffuser to a wall (디퓨저에서 벽면으로의 방출유로에서의 압력손실)

  • Lee, J.;Kim, Y.I.;Kim, S.H.;Lee, D.J.
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.517-522
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    • 2001
  • The exit edges of a diffuser are smoothly rounded, and a wall is located perpendicularly to a diffuser exit. The fluid is discharged towards the radial direction of a diffuser after impinging against a wall from a diffuser. In this flow path, pressure loss coefficients have been calculated by the variables of Reynolds number at a diffuser inlet, distance between a diffuser exit and a wall, and turbulence models. As a result, it was calculated that $h/D_0$ ratio between $0.35\sim0.4$ has the minimum pressure loss coefficient regardless of Reynolds number and turbulence models. It was also found that in case of the flow with relatively high Reynolds number at a diffuser inlet, the pressure loss coefficients by RNG $k-\varepsilon$ model have a tendency to be near to those by standard $k-\varepsilon$ model at small ratio of $h/D_0$, but to those by RSM at large ratio.

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A Study on the 2-D Unsteady Flow and Heat Transfer on Turbine Rotor Passage (가스터빈 회전익 채널내 2차원 비정상 유동 및 열전달 특성에 관한 연구)

  • Koo, K.H.;Kim, Youn-J.
    • Proceedings of the KSME Conference
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    • 2000.11b
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    • pp.428-433
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    • 2000
  • The characteristics of unsteady heat transfer and boundary layer flow in the SSME turbine rotor passage are investigated with LRN $k-{\varepsilon}$ turbulence model. The unsteady flow and heat transfer in a rotor blade passage as a result of wake/blade interaction is modeled by the inviscid/boundary-layer flow approach. The relevant governing equations are discretized to a system of finite different equations by means of a BTBCS implicit method. These equations have been solved numerically, for the velocity and temperature fields using TDMA method. Heat flux on the blade surface and flow parameters in the rotor passage are calculated with wake interaction. Numerical results show that velocity, pressure, turbulent kinetic energy and heat flux on the blade surface are varied periodically by wake passing.

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Natural Convection in a Rectangular Enclosure with Localized Heating from Below (사각공간내에서의 부분바닥가열에 의한 자연대류에 관한 연구)

  • Han, H.T.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.7 no.2
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    • pp.287-297
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    • 1995
  • In this study, the geometry consists of a two-dimensional rectangular enclosure with localized heating from below. The size and the location of the heater on the floor has been varied, and one of the vertical walls remains at a low temperature simulating a cold window. The governing equations for momentum, energy and continuity, which are coupled with turbulent equations have been solved using a finite volume method. A low Reynolds number $k-{\varepsilon}$ model has been incorporated to solve the turbulent kinetic energy and the dissipation rate. The heat transfer characteristics and the thermal environmental characteristics of the room have been obtained for various system parameters in a room with a partially heated floor.

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Numerical analysis of drag reduction of turbulent flow in a pipe (원관내 난류의 저항감소현상에 대한 수치해석)

  • 홍성진;김광용;최형진
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.11 no.6
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    • pp.733-739
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    • 1999
  • A modified low-Re $k-\varepsilon$ model is used for the calculation of drag-reducing turbulent flow by polymer injection in a pipe. With the viscoelastic model, molecular viscosity in the definition of turbulent viscosity is related to elongations viscosity of the solution to account for the effects of drag reduction. Finite volume method is used for the discretization, and power-law scheme is used as a numerical scheme. Computed dimensionless velocity profiles are in good agreements with the experimental data in case of low drag reductions. However, in case of high drag reductions, they deviate largely from the measurements in the central zone of the flow field.

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