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

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대수 레이놀즈 응력모델에 의한 단이 진 벽면분류에 대한 수치해석 (Numerical Analyses on Wall-Attaching Offset Jet with Algebraic Reynolds Stress Model)

  • 서호택;이득수;부정숙
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.579-584
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    • 2000
  • Algebraic Reynolds Stress (ARS) model is applied in order to analyze the turbulent flow of wall-attaching offset jet and to evaluate the model's predictability. The applied numerical schemes are upwind scheme and skew-upwind scheme. The numerical results show good prediction in first order calculations (i.e., reattachment length, mean velocity, pressure), while they show slight deviations in second order (i.e., kinetic energy and turbulence intensity). By comparison with the previous results using $k-{\varepsilon}$ model, ARS model predicts better than the standard $k-{\varepsilon}$ model, however, predicts slightly worse than the $k-{\varepsilon}$ model including the streamline curvature modification. Additionally this study can reconfirm that skew-upwind scheme has approximately 25% improved predictability than upwind scheme.

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

  • 강덕홍;김우승;이관수
    • 대한기계학회논문집
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    • 제19권3호
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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..

$\textsc{k}-\varepsilon$ 난류 모형을 이용한 해향저류의 해석 (Analysis of Undertow Using$\textsc{k}-\varepsilon$ Turbulence Model)

  • Hwang, Seung-Yong;Lee, Kil-Seong
    • 한국해안해양공학회지
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    • 제5권4호
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    • pp.357-368
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    • 1993
  • 확산이 지배적인 흐름을 가정하여, 쇄파대의 해향저류와 난류구조에 대한 수치모형이 $ extsc{k}$-$\varepsilon$ 난류모형을 이용하여 개발되었다. 해향저류란 쇄파대에서 바다쪽으로 흐르는 주기평균된 강한 흐름을 말하며 주로 파곡 아래에 나타난다. 롤러에서 쇄파에 의해 발생된 난류는 아래쪽으로 퍼져나가면서 그 기운을 잃게된다. 지배 방정식은 파에 의한 주기평균-전단응력이 고려된 운동 방정식과 쇄파에 의한 난류 에너지 생성이 포함된 $textsc{k}$-와 $\varepsilon$-식으로 구성된다. 이 식들은 삼단계 완전 음해법으로 차분되고, Thomas 알고리즘으로 풀 수 있다. 쇄파지점에 가까운 곳을 제외하면, 모형은 실험값과 좋은 일치를 보여준다

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축류 회전차 익말단 틈새유동에 대한 수치해석(II) - 틈새변화 및 영각변화에 따른 누설와류의 변화 - (Numerical Analysis on the Blade Tip Clearance Flow in the Axial Rotor (II) - Variation of Leakage Vortex with Tip Clearance and Attack Angle -)

  • 노수혁;조강래
    • 대한기계학회논문집B
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    • 제23권9호
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    • pp.1106-1112
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    • 1999
  • Substantial losses behind axial flow rotor are generated by the wake, various vortices in the hub region and the tip leakage vortex in the tip region. Particularly, the leakage vortex formed near blade tip is one of the main causes of the reduction of performance, generation of noise and aerodynamic vibration in downstream. In this study, the three-dimensional flow fields in an axial flow rotor were calculated with varying tip clearance under various flow rates, and the numerical results were compared with experimental ones. The numerical technique was based on SIMPLE algorithm using standard $k-{\varepsilon}$ model(WFM) and Launder & Sharma's Low Reynolds Number $k-{\varepsilon}$ model(LRN). Through calculations, the effects of tip clearance and attack angle on the 3-dimensional flow fileds behind a rotor and leakage flow/vortex were investigated. The presence of tip leakage vortex, loci of vortex center and its behavior behind the rotor for various tip clearances and attack angles was described well by calculation.

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

  • 이준;김영인;김성훈;이두정
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집B
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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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$k-{\varepsilon}-\bar{\upsilon{'}^2}$모델을 이용한 경사진 충돌제트의 유동 및 열전달 특성에 대한 수치해석적 연구 (A Numerical Study on Flow and Heat Transfer Characteristics for an Oblique Impingement Jet Using $k-{\varepsilon}-\bar{\upsilon{'}^2}$ Model)

  • 최영기;최봉준;이정희
    • 대한기계학회논문집B
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    • 제25권9호
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    • pp.1183-1192
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    • 2001
  • The numerical simulation has been conducted for the investigation of flow and heat transfer characteristics of an oblique impingement jet injected to a flat plate. The finite volume method was used to discretize the governing equations based on the non-orthogonal coordinate with non-staggered variable arrangement. The $textsc{k}$-$\varepsilon$-ν(sup)'2 turbulence model was employed to consider the consider the anisotropic flow characteristics generated by the impingement jet flow. The predicted results were compared with the experimental data and those of the standard $textsc{k}$-$\varepsilon$ turbulence model. The results of the $textsc{k}$-$\varepsilon$-ν(sup)'2 model showed better agreement with the experimental data than those of the standard $textsc{k}$-$\varepsilon$ model. In order to get the optimum condition, the flow and temperature fields were calculated with a variation of inclined angle($\alpha$=30$^{\circ}$~90$^{\circ}$) and the distance between the jet exit and impingement plate-to-diameter (L/D=4~10) at a fixed Reynolds number(Re=20,000). For a small L/D, the near-peak Nusselt numbers were not significantly effected by the inclined angle. The near-peak Nusselt numbers were not significantly affected by the L/D in the case of a large $\alpha$. The overall shape of the local Nusselt numbers was influenced by both the jet orifice-to-plate spacing and the jet angle.

역압력구배 영향을 고려한 저레이놀즈수 k-ε 모형의 소산율 방정식 수정 (Modification of Dissipation Rate Equation of Low Reynolds Number k-ε Model Accounting for Adverse Pressure Gradient Effect)

  • 송경;조강래
    • 대한기계학회논문집B
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    • 제23권11호
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    • pp.1399-1409
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    • 1999
  • It is known that previous models are unsatisfactory in predicting adverse pressure gradient turbulent flows. In the present paper, a revised low Reynolds number $k-{\varepsilon}$ model is proposed. In this model, a newly developed term is added lo the dissipation rate equation. In order to reflect appropriate effects for an adverse pressure gradient. The added tenn is derived by considering the distribution of mean velocity and turbulent properties in the turbulent flow with, adverse pressure gradient. The new $k-{\varepsilon}$ model was applied to calculations of flat plate flow with adverse pressure gradient, conical diffuser flow and backward facing step flow. It was found that the three numerical results showed better agreement than other models compared with DNS results and experimental ones.

비등방 $k-\varepsilon$ 난류모델에 의한 회전 덕트유동의 수치해석 (Numerical Analysis of Rotating Channel Flow with an Anisotropic $k-\varepsilon$ Turbulence Model)

  • 명현국
    • 대한기계학회논문집B
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    • 제21권8호
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    • pp.1046-1055
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    • 1997
  • An anisotropic k-.epsilon. turbulence model for predicting the rotating flows is proposed with the simple inclusion of a new parameter dealing with the extra straining effects in the .epsilon.-equation. This model is employed to compute the effects of Coriolis forces on fully-developed flow in a rotating channel. The predicted results indicate that the present model captures fairly well the striking rotational-induced effects on the Reynolds stresses and the mean flow distributions, including the argumentation of turbulent transport on the unstable side (pressure surface) of the channel and its damping on the stable side (suction surface).

Confidence Intervals in Three-Factor-Nested Variance Component Model

  • Kang, Kwan-Joong
    • Journal of the Korean Statistical Society
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    • 제22권1호
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    • pp.39-54
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    • 1993
  • In the three-factor nested variance component model with equal numbers in the cells given by $y_{ijkm} = \mu + A_i + B_{ij} + C_{ijk} + \varepsilon_{ijkm}$, the exact confidence intervals of the variance component of $\sigma^2_A, \sigma^2_B, \sigma^2_C, \sigma^2_{\varepsilon}, \sigma^2_A/\sigma^2_{\varepsilon}, \sigma^2_B/\sigma^2_{\varepsilon}, \sigma^2_C/\sigma^2_{\varepsilon}, \sigma^2_A/\sigma^2_C, \sigma^2_B/\sigma^2_C$ and $\sigma^2_A/\sigma^2_B$ are not found out yet. In this paper approximate lower and upper confidence intervals are presented.

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2차원 온배수 난류모형의 비교연구 (A Comparative Study of 2-Dimensional Turbulence Models for Thermal Discharge)

  • 최흥식
    • 한국수자원학회논문집
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    • 제32권3호
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    • pp.225-235
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    • 1999
  • 가로흐름이 존재하는 수역으로 방출되는 온배수 해석에 3가지 난류모형의 사용성 평가를 위해서 근역 2차원 수치모형을 개발하였다. 적용한 난류모형은 2-방정식 난류모형인 {{{{ { k}_{ } }}}}-$\varepsilon$ 및 {{{{ { k}_{ } }}}}-ι 난류모형과 {{{{ { k}_{ } }}}}-$\varepsilon$ 난류모형에 부력생성 항 및 난류 열 플럭스 항 결정을 위한 변동온도 평균자승항 및 이의 감쇠율에 대한 전달 방정식을 추가한 4-방정식 난류모형이다. 개발된 모형은 간단한 단면을 갖는 개수로 정류 경우에 대해 적용하였으며, 계산된 결과는 기존의 실험결과와 비교적 잘 일치하였다. 4-방정식 난류모형에 의한 결과가 2-방정식에 의한 결과보다 부력에 의한 횡방향의 중력확장을 잘 나타내었으며, 흐름 양상의 계산에는 3가지 경우 모두 유사하게 흐름을 재현함을 보였다.

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