• Title/Summary/Keyword: $k-{\epsilon}$ model

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Study on Measurement and Numerical Analysis for Fluid Flow past a Circular Cylinder in Rectangular Duct (사각던트 내에서 원형 실린더를 지나는 유체유동의 측정 및 수치해석에 관한 연구)

  • 김경환;윤영환
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.15 no.12
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    • pp.1095-1102
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    • 2003
  • Flow characteristics of turbulent steady fluid flow past a cylinder in rectangular duct are measured by 5 W laser doppler velocity meter. The fluid flow is also computed by commercial software of STAR-CD for comparison between the measurement and computation. The turbulent models applied in the computations are standard K-epsilon model, RNG K-epsilon model and Chen K-epsilon model. Acurracy of standard K-epsilon model is a little bit better than acurracies of other models even though those models have almost the same order of error compared to measured data. The computations predict satisfactorily the measured velocity profiles at middle section of the circular cylinder before the fluid flow diverges. However, there are some disagreements between them at down stream from the circular cylinder.

Analysis of Turbulent Flow and Heat Transfer in a Square Duct with a 18$0^{\circ}C$ Bend (4角斷面 의 1800曲管 에서의 亂流流動 과 熱傳達解析)

  • ;B.E. Launder
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.1
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    • pp.91-108
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    • 1985
  • Turbulent flow and heat transfer in the 180.deg. bend with square cross section were analizied numerically by using k-.epsilon. 2 eqatiuon model with applications of QUICK scheme and PSL method. Results with PSL method show the more agreements with experimental data than those with wall function. However these results also show that it is very difficult to predict the 3-dimensional turbulent flow with strong secondary flow accuratly by standard k-.epsilon. equation model, and therefore it is necessary to introduce the higher order turbulent model or to correct the standard k-.epsilon. model for the more accurate predictions of these types of flow.

Numerical study on the two-dimensional stepped wall jet (단이 진 2차원 벽면분류에 대한 수치 해석)

  • 윤순현;엄윤섭;정명균
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.4
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    • pp.865-875
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    • 1988
  • A two-dimensional stepped wall jet was numerically investigated by applying three different models : One is the standard k-.epsilon. and the other is the modified k-.epsilon. model which takes account of the streamline curvature effect by modifying the Reynolds shear stress and a source term in the dissipation equation, and a third is curvature dependent third-order correlation model. In order to test the influences of the numerical result, both the upwind scheme and the skew-upwind scheme were sued for the computations. By comparing the numerical results with available experiments, it was found that the modified k-.epsilon. model gives best overall prediction accuracy only when the numerical diffusion is eliminated by using the skew-upwind scheme. The numerical scheme was found to have more pronounced effect on the accuracy of the turbulence computation than the turbulence models.

Analysis of Flow Characteristics on the Axial Flow Fan with Centrifugal Blade (원심형 날개를 부착한 축류홴의 유동특성 해석)

  • Choi Jung-Geun;Lee Seok-Jong;Lee Myoeng-Ho;Sung Jae-Yong
    • Journal of Advanced Marine Engineering and Technology
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    • v.30 no.5
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    • pp.589-596
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    • 2006
  • This study aims to propose a new model axial flow fan which attachs centrifugal blades, and to investigate the effect of centrifugal blades on the performance improvement of new model axial flow fan. A numerical simulation has been conducted using STAR-CD commercial code to solve the three dimensional incompressible Navier-Stokes equation for high Reynolds number $k-{\epsilon}$ turbulent model. Numerical simulation is carried out to investigate the detail phenomenon in the flow field and performance characteristics of new model and normal model fan. Calculation results are compared with normal model's results to investigate which centrifugal blades effect on velocity profile and pressure distribution at various flow field positions. and calculation results show that new model fan can improve the performance of total pressure.

A Study on the Plane Turbulent Offset Jet (평면 난류 오프셋 제트에 관한 연구)

  • 유정열;강신형;채승기;좌성훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.3
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    • pp.357-366
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    • 1986
  • The flow characteristics of two-dimensional turbulent offset jet which is discharged parallel to a solid wall has been studied experimentally and numerically. In the experiment, 3-hole pitot tube and 2 channel constant temperature hot-wire anemometer are used to measure local mean velocity, turbulence intensity and Reynolds stress while scannivalve is used to measure the wall pressure distribution. It is confirmed experimentally that local mean velocity is closely related to wall pressure distribution. It is also verified that for large Reynolds numbers and fixed step height there exists a similarity in the distribution of wall pressure coefficient. The maximum values of turbulence intensity occur in the top and bottom mixing layers and the magnitude of Reynolds stress becomes large in the lower mixing layer than in the top mixing layer due to the effect of streamline curvature and entrainment. In the numerical analysis, standard k-.epsilon. model based on eddy viscosity model and Leschziner and Rodi model based on algebraic stress model are adopted. The numerical analyses predict shorter reattachment lengths than the experiment, and this difference is judged to be due mainly to the problem of turbulence model constants and numerical algorithm. This also causes the inconsistency between the two results for other turbulence quantities in the recirculation region and impingement region, which constitutes a subject of a continued future study.

A Low-Reynolds-Number 4-Equation Model for Turbulent Separated and Reattaching Flows (난류박리 및 재부착 유동의 해석을 위한 저레이놀즈수 4-방정식 난류모형의 개발)

  • 이광훈;성형진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.2039-2050
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    • 1995
  • The nonlinear low-Reynolds-number k..epsilon. model of park and Sung is extended to predict the turbulent heat transports in separated and reattaching flows. The equations of the temperature variance( $k_{\theta}$ and its dissipation rate(.epsilon.$_{\theta}$ are solved, in concert with the equations of the turbulent kinetic energy(k) and its dissiation rate(.epsilon). In the present model, the near-wall effect and the non-equilibrium effect are fully taken into consideration. The validation of the model is then applied to the turbulent flow behind a backward-facing step and the flow over a blunt body. The predicted results of the present model are compared and evaluated with the relevant experiments.

Application of a near-wall turbulence model to the flows over a step with inclined wall (경사진 계단유동의 해석을 위한 벽면근접 난류모형의 적용)

  • An, Jong-U;Park, Tae-Seon;Seong, Hyeon-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.6
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    • pp.735-746
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    • 1997
  • A nonlinear low-Reynolds-number k-.epsilon. model of Park and Sung was extended to predict the flows over a step with inclined wall, where a boundary layer flow without separation and a separated and reattaching flow coexist. For a better prediction of the flows, a slight modification was made on the function of the wall damping( $f_{\mu}$) and the model constant ( $C_{{\epsilon}1}$) in the .epsilon.-equation. The model performance was validated by comparing the model predictions with the experiment. It was shown that the flows over a step with inclined wall are simulated successfully with the present model.ent model.

Korean Listeners' Perception of English /i/, /I/, and /$\epsilon$/

  • Yun, Yung-Do
    • Speech Sciences
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    • v.12 no.1
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    • pp.75-87
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    • 2005
  • In this study I investigate how native Korean listeners perceive English vowels /i/, /I/, and /$\epsilon$/. I extend Flege et al's (1997) study with synthesized /i/-/I/ and /I/-/$\epsilon$/ continua, and apply the results to Flege's (1995) Speech Learning Model (SLM). The statistical results show that native speakers of English rely more on spectral steps than on vowel duration when they identify the /i/-/I/ continuum, whereas native speakers of Korean rely more on vowel duration than on spectral steps when they identify the same continuum. In the case of the /I/-/$\epsilon$/ continuum, both groups rely on spectral steps when they identify the /$\epsilon$/, which supports the SLM; Koreans identified the /$\epsilon$/ categorically since Korean has the equivalent vowel. However, there was not statistical difference between Korean subjects with more English experience (KE) and those with less English experience in the identification of both continua. This contradicts the SLM, which posits that experienced L2 learners are better than inexperienced L2 learners in perception of L2 sounds. The exact nature of this should be further investigated in the SLM.

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A numerical study of turbulent flows with adverse pressure gradient (역압력 구배가 있는 난류유동에 대한 수치적 연구)

  • 김형수;정태선;최영기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.668-676
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    • 1991
  • Turbulent flows around tube banks and in the diffuser were studied using a non-orthogonal boundary fitted coordinate system and the modified K-.epsilon. turbulence model. In these cases, many problems emerge which stem from the geometrical complexity of the flow domain and the physical complexity of turbulent flow itself. To treat the complex geometry, governing equations were reformulated in a non-orthogonal coordinate system with Cartesian velocity components and discretised by the finite volume method with a non-staggered variable arrangement. The modified K-.epsilon. model of Hanjalic and Launer was applied to solve above two cases under the condition of strong and mild pressure gradient. The results using the modified K-.epsilon. model results in both test cases.