• 제목/요약/키워드: Standard k--$\varepsilon$Turbulence Model

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Developments and applications of a modified wall function for boundary layer flow simulations

  • Zhang, Jian;Yang, Qingshan;Li, Q.S.
    • Wind and Structures
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    • 제17권4호
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    • pp.361-377
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    • 2013
  • Wall functions have been widely used in computational fluid dynamics (CFD) simulations and can save significant computational costs compared to other near-wall flow treatment strategies. However, most of the existing wall functions were based on the asymptotic characteristics of near-wall flow quantities, which are inapplicable in complex and non-equilibrium flows. A modified wall function is thus derived in this study based on flow over a plate at zero-pressure gradient, instead of on the basis of asymptotic formulations. Turbulent kinetic energy generation ($G_P$), dissipation rate (${\varepsilon}$) and shear stress (${\tau}_{\omega}$) are composed together as the near-wall expressions. Performances of the modified wall function combined with the nonlinear realizable k-${\varepsilon}$ turbulence model are investigated in homogeneous equilibrium atmosphere boundary layer (ABL) and flow around a 6 m cube. The computational results and associated comparisons to available full-scale measurements show a clear improvement over the standard wall function, especially in reproducing the boundary layer flow. It is demonstrated through the two case studies that the modified wall function is indeed adaptive and can yield accurate prediction results, in spite of its simplicity.

A numerical study of the turbulent fluctuating flow around a square cylinder for different inlet shear

  • Islam, A.K.M. Sadrul;Hasan, R.G.M.
    • Wind and Structures
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    • 제5권1호
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    • pp.15-24
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    • 2002
  • This paper reports the numerical calculations of uniform turbulent shear flow around a square cylinder. The predictions are obtained by solving the two-dimensional unsteady Navier-Stokes equations in a finite volume technique. The turbulent fluctuations are simulated by the standard $k-{\varepsilon}$ model and one of its variant which takes care of the realizability constraint in order to suppress the excessive generation of turbulence in a stagnation condition. It has been found that the Strouhal number and the mean drag coefficient are almost unaffected by the shear parameter but the mean lift coefficient is increased. The present predictions are compared with available experimental data.

Pressure distribution on rectangular buildings with changes in aspect ratio and wind direction

  • Lee, Young Tae;Boo, Soo Ii;Lim, Hee Chang;Misutani, Kunio
    • Wind and Structures
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    • 제23권5호
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    • pp.465-483
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    • 2016
  • This study aims to enhance the understanding of the surface pressure distribution around rectangular bodies, by considering aspects such as the suction pressure at the leading edge on the top and side faces when the body aspect ratio and wind direction are changed. We carried out wind tunnel measurements and numerical simulations of flow around a series of rectangular bodies (a cube and two rectangular bodies) that were placed in a deep turbulent boundary layer. Based on a modern numerical platform, the Navier-Stokes equations with the typical two-equation model (i.e., the standard $k-{\varepsilon}$ model) were solved, and the results were compared with the wind tunnel measurement data. Regarding the turbulence model, the results of the $k-{\varepsilon}$ model are in overall agreement with the experimental results, including the existing data. However, because of the blockage effects in the computational domain, the pressure recovery region is underpredicted compared to the experimental data. In addition, the $k-{\varepsilon}$ model sometimes will fail to capture the exact flow features. The primary emphasis in this study is on the flow characteristics around rectangular bodies with various aspect ratios and approaching wind directions. The aspect ratio and wind direction influence the type of wake that is generated and ultimately the structural loading and pressure, and in particular, the structural excitation. The results show that the surface pressure variation is highly dependent upon the approaching wind direction, especially on the top and side faces of the cube. In addition, the transverse width has a substantial effect on the variations in surface pressure around the bodies, while the longitudinal length has less influence compared to the transverse width.

에어컨 실내기의 공력소음 예측을 위한 RANS 난류모델의 성능 평가 (PERFORMANCE ASSESSMENT OF THE RANS TURBULENCE MODELS IN PREDICTION OF AERODYNAMIC NOISE FOR AIR-CONDITIONER INDOOR UNIT)

  • 민윤홍;강성원;허남건;이창훈;박정택
    • 한국전산유체공학회지
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    • 제17권4호
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    • pp.81-86
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    • 2012
  • The objective of the present study is to investigate the effects of various turbulence models on the aerodynamic noise of an air-conditioner (AC) indoor unit. The results from URANS (unsteady Reynolds-averaged Navier-Stokes) simulations with the standard k-$\varepsilon$, k-$\omega$ shear stress transport (SST) and Spalart-Allmaras (S-A) turbulence models were analyzed and compared with the noise data from the experiments. The frequency spectra of the far-field acoustic pressure were computed using the Farrasat equation derived from the Ffowcs Williams-Hawkings (FW-H) equation based on the acoustic analogy model. Two fixed fan casings and the rotating cross-flow fan were used as the source surfaces of the dipole noise in the Farrasat equation. The result with the standard k-$\epsilon$ model showed a much better agreement with the experimental data compared to the k-w SST and S-A models. The differences in the pressure spectra from the different turbulence models were discussed based on the instantaneous vorticity fields. It was found that the over-estimated power spectra with the k-w SST and S-A models are related to the emphasized small-scale vortices produced with these models.

축대칭 물체 주위유동의 실험적·수치적 연구 (Experimental and Numerical Studies of the Flowfield around an Axisymmetric Body)

  • 안종우;송인행;박태선
    • 대한조선학회논문집
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    • 제34권3호
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    • pp.9-18
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    • 1997
  • 복합추진장치가 포함된 경우와 포함되지 않은 경우의 축대칭 물체 주위 유동특성을 조사하기 위한 실험적 수치적 연구가 수행되었다. 축대칭 물체주위 유동특성 파악을 위해 선박해양공학연구센터의 캐비테이션 터널에서 표면압력분포와 LDV 장치를 이용한 주위유속분포 계측 시험이 우선적으로 이루어졌으며, 비압축성 RANS 방정식을 유한체적법으로 해석하는 수치적 방법이 표준 k-${\varepsilon}$ 난류모형을 이용하여 수행되었다. 선체와 프로펠러 상호작용은 양력면이론에 의하여 계산된 유기속도를 프로펠러 면에 분포하여 경계조건으로 처리하는 방법을 택하였다. 추진장치의 여러 가지 배열변화에 따른 실험적 결과를 기반으로 타당한 수치적 방법이 개발될 수 있다고 생각된다.

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복합추진장치가 포함된 축대칭 물체 주위유동의 수치적 연구 (Numerical Study of the Flow Field Around an Axisymmetric Body with Integrated Propulsors)

  • 안종우;문일성;표상우;서정천
    • 대한조선학회논문집
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    • 제36권4호
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    • pp.1-8
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    • 1999
  • 복합 추진장치가 포함된 경우와 포함되지 않은 경우에 축대칭 물체 주위 유동특성을 조사하기 위한 수치적 연구가 수행되었다. 비압축성 RANS 방정식을 유한체적법으로 해석하는 수치적 방법이 표준 $k-\varepsilon$ 난류모형을 이용하여 수행된다. 선체와 추진기의 상호작용은 패널법에 의하여 계산된 유기속도를 프로펠러 면에 분포하여 경계조건으로 처리하는 방법을 사용하였다. 수치적 결과로부터 얻어진 표면압력분포와 유속분포는 시험 결과와 비교된다. 본 연구에서 얻어진 수치계산 프로그램은 복합추진장치의 설계에 이용될 수 있다고 생각된다.

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Numerical and wind tunnel simulation of pollutant dispersion in the near wake of buildings

  • Wang, X.;McNamara, K.F.
    • Wind and Structures
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    • 제8권6호
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    • pp.427-442
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    • 2005
  • Numerical and wind tunnel simulations of pollutant dispersion around rectangular obstacles with five aspect ratios have been conducted in order to identify the effects of flow patterns induced by buildings on plume dispersion in the near wake of buildings. An emission from a low source located upwind of obstacles was used in this simulation. The local flow patterns and concentrations around a cubical obstacle were initially investigated using three RANS turbulence models, (the standard $k-{\varepsilon}$, Shear Stress Transport (SST), Reynolds-Stress RSM turbulence model) and also using Large-eddy simulation (LES). The computed concentrations were compared with those measured in the wind tunnel. Among the three turbulence models, the SST model offered the best performance and thus was used in further investigations. The results show, for normal aspect ratios of width to height, that concentrations in the near wake are appreciably affected because of plume capture by the horseshoe vortex and convection by the vertical vortex pairs. These effects are less important for high aspect ratios. Vertical vortex pairs present a strong ability to exchange mass vertically and acts efficiently to reduce ground-level concentrations in the near wake.

CFD에 의한 2D 에어포일 공력특성 및 3D 풍력터빈 성능예측 (Predicting the Aerodynamic Characteristics of 2D Airfoil and the Performance of 3D Wind Turbine using a CFD Code)

  • 김범석;김만응;이영호
    • 대한기계학회논문집B
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    • 제32권7호
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    • pp.549-557
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    • 2008
  • Despite of the laminar-turbulent transition region co-exist with fully turbulence region around the leading edge of an airfoil, still lots of researchers apply to fully turbulence models to predict aerodynamic characteristics. It is well known that fully turbulent model such as standard k-model couldn't predict the complex stall and the separation behavior on an airfoil accurately, it usually leads to over prediction of the aerodynamic characteristics such as lift and drag forces. So, we apply correlation based transition model to predict aerodynamic performance of the NREL (National Renewable Energy Laboratory) Phase IV wind turbine. And also, compare the computed results from transition model with experimental measurement and fully turbulence results. Results are presented for a range of wind speed, for a NREL Phase IV wind turbine rotor. Low speed shaft torque, power, root bending moment, aerodynamic coefficients of 2D airfoil and several flow field figures results included in this study. As a result, the low speed shaft torque predicted by transitional turbulence model is very good agree with the experimental measurement in whole operating conditions but fully turbulent model(${\kappa}-\;{\varepsilon}$) over predict the shaft torque after 7m/s. Root bending moment is also good agreement between the prediction and experiments for most of the operating conditions, especially with the transition model.

플라스틱 판형 열교환기의 유동 및 열전달 특성에 관한 수치해석적 연구 (A Numerical Study on the Flow and Heat Transfer Characteristics of Plastic Plate Heat Exchanger)

  • 정민호;유성연;한규현;윤홍익
    • 대한설비공학회:학술대회논문집
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    • 대한설비공학회 2008년도 하계학술발표대회 논문집
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    • pp.1366-1371
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    • 2008
  • Four simulation models of plastic plate heat exchangers are designed and simulated. The flat plate type heat exchanger is designed as the reference model in order to evaluate how much thermal performance increases. The turbulence promoter type heat exchanger is fabricated with cylindrical-type vortex generators and rib-type turbulence promoters. The corrugate type is obtained from the conventional stainless steel compact heat exchangers, which are called the herringbone-type compact heat exchangers. The dimple type heat exchanger has a number of dimples on its surface. In this study, the flow and heat transfer characteristics of the plastic plate heat exchanger are investigated using numerical simulation and compared with experimental results. The flows are assumed as a three-dimensional, incompressible and turbulent model. The standard k-$\varepsilon$ model is used as the turbulent flow modeling, the SIMPLE algorithm is used to treat the coupling between pressure and velocity, and first order upwind scheme is used for discretization of momentum, turbulent and energy. The computational analysis and experimental results both show that the friction coefficient and Nu number is highest in the corrugate type.

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Numerical Analysis of Plume Characteristics and Liquid Circulation in Gas Injection Through a Porous Plug

  • Choi, Choeng-Ryul;Kim, Chang-Nyung
    • Journal of Mechanical Science and Technology
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    • 제14권12호
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    • pp.1365-1375
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    • 2000
  • Two phase flows have been numerically calculated to analyze plume characteristics and liquid circulation in gas injection through a porous plug. The Eulerian approach has been for formulation of both the continuous and dispersed phases. The turbulence in the liquid phase has been modeled using the standard $textsc{k}$-$\varepsilon$ turbulence model. The interphase friction coefficient has been calculated using correlations available in the literature. The turbulent dispersion of the phase has been modeled by the "dispersion Prand시 number". The predicted mean flows is compared well with the experimental data. The plume region area and the axial velocities are increased with the gas flow rate and with the decrease in the inlet area. The turbulent intensity also shows the same trend. Also, the space-averaged turbulent kinetic energy for various gas flow rates and inlet areas has been obtained. The results are of interest in the design and operation of a wide variety of materials and chemical processing operations.

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