• Title/Summary/Keyword: non-linear turbulence model

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Three-Dimensional Navier-Stokes Analysis of the Flow through A Multiblade Centrifugal Fan (원심다익송풍기 유동의 삼차원 Navier-Stakes 해석)

  • Seo, Seoung-Jin;Chen, Xi;Kim, Kwang-Yong;Kang, Shin-Hyung
    • 유체기계공업학회:학술대회논문집
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    • 1998.12a
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    • pp.42-48
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    • 1998
  • Numerical study is presented for the analysis of three-dimensional incompressible turbulent flows in multiblade centrifugal fan. Reynolds-averaged Navier-Stokes equations with standard k - $\epsilon$ turbulence model are transformed to non-orthogonal curvilinear coordinates, and are discretized with finite volume approximations. Linear Upwind Differencing Scheme(LUDS) is used to approximate the convection terms in the governing equations. SIMPLEC algorithm is used as a velocity-pressure correction procedure. The computational area is divided into three blocks; core, impeller and scroll, which are linked by multi-block method. The flow inside of the fan is regarded as steady flow, and mathematical formula established from the cascade theory and empirical coefficient are employed to simulate tile flow through the impeller. From comparisons between the computational results and the experimental data, the validity of the mathematical formula for the blade forces was examined and good results were obtained qualitatively. Hence, we can get the flow characteristics of multi-blade centrifugal fan and it will be a corner stone of the development of the multiblade centrifugal fan.

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Numerical Simulations of Open-Channel Flow using Non-Linear k-$\varepsilon$ Turbulence Model (비선형 k-$\varepsilon$ 난류모형을 이용한 개수로 흐름 해석)

  • Choi, Seong-Wook;Kang, Hyeong-Sik;Choi, Sung-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.566-570
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    • 2012
  • 본 연구에서는 비선형 k-$\varepsilon$ 모형을 이용하여 직사각형 개수로에서 평균흐름과 난류구조를 모의하였다. 표준 k-$\varepsilon$ 난류모형은 난류의 등방성을 가정하여 국부적 평형상태에서 계산하기 때문에 유선에 따른 레이놀즈 응력의 변형이 큰 경우나 이방성이 강한 경우 이를 계산하지 못한다. 이를 보완하기 위하여 제시된 것이 비선형 k-$\varepsilon$ 난류모형이다. 본 연구에서는 표준 k-$\varepsilon$ 모형과 비선형 k-$\varepsilon$ 모형에 의한 모의결과를 비교하였다. 난류모형을 검증하기 위하여 직사각형 개수로에 흐름을 완전 발달된 등류로 가정하여 해석하였다. 지배방정식을 해석하기 위해 Patankar와 Spalding (1972)이 제시한 SIMPLER 알고리즘을 사용하였고 유한체적법을 이용하여 이산화하고 엇갈린 격자체계를 사용하여 계산에서 발생하는 과도한 진동을 줄였다. 또한 차분기법은 Patankar (1980)가 제시한 Power-law 기법을 채택하였으며 경계조건으로 2층 벽법칙 모형과 Hossain과 Rodi (1993)의 모형을 이용하였다. 두 모형의 적용성을 검증하기 위하여 실측자료를 이용하여 비교하였고 그 결과 비선형 k-$\varepsilon$ 모형이 표준 k-$\varepsilon$ 모형에 비해 좀 더 실측지에 가깝게 모의하는 것을 볼 수 있었다.

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A Parabolic Approximation Model for Wave Deformation Combined Refraction, Diffraction, and Breaking (파랑(波浪)의 굴절(屈折), 회절(回折) 및 쇄파변형(碎波變形)에 관한 포물형근사모형(抛物形近似模型))

  • Lee, Dong Soo;Lee, Jong Sup;Park, II Heum
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.3
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    • pp.619-633
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    • 1994
  • A wave deformation model for general purpose combined refraction, diffraction, and breaking is developed in the shallow water. A parabolic approximation equation considered a higher order diffraction term is derived from the previous mild slope equation. A wave energy dissipation term due to bottom friction and breaking is introduced from the turbulence model. The Crank-Nicoloson implicit scheme is used in the numerical calculation, then the solutions are compared with the various hydraulic experiment data in the circular, the elliptic shoal, and the surf zone. The wave height decay in the surf zone is sensitively affected by the incident wave steepness, and the wave height variation around the elliptic shoal is well explained by the non-linear dispersion relation and the wave energy dissipation term. The model is also applied to a field coastal area and reasonable results are obtained.

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Shape Optimization of a Rotating Cooling Channel with Pin-Fins (핀휜이 부착된 회전하는 냉각유로의 최적설계)

  • Moon, Mi-Ae;Husain, Afzal;Kim, Kwang-Yong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.34 no.7
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    • pp.703-714
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    • 2010
  • This paper describes the design optimization of a rotating rectangular channel with staggered arrays of pin-fins by Kriging metamodeling technique. Two non-dimensional variables, the ratio of the height to the diameter of the pin-fins and the ratio of the spacing between the pin-fins to the diameter of the pin-fins are chosen as the design variables. The objective function that is a linear combination of heat transfer and friction loss related terms with a weighting factor is selected for the optimization. To construct the Kriging model, objective function values at 20 training points generated by Latin hypercube sampling are evaluated by a three-dimensional Reynolds-averaged Navier-Stokes (RANS) analysis method with the SST turbulence model. The Kriging model predicts the objective function value that agrees well with the value calculated by the RANS analysis at the optimum point. The objective function is reduced by 11% by the optimization of the channel.

Predicting Noise inside a Trimmed Cavity Due to Exterior Flow (외부 유동에 의한 흡차음재 공간내의 소음 예측)

  • Jeong, ChanHee;Ganty, Bastien;Choi, EuiSung;Cho, MunHwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.04a
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    • pp.466-471
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    • 2014
  • The interior vehicle noise due to the exterior aerodynamic field is an important topic in the acoustic design of a car. The air flow detached from the A-pillar and impacting the side windows are of particular interest as they are located close to the driver / passenger and provides a lower insulation index than the trimmed car body parts. This paper presents a numerical analysis method for a simplified vehicle model. The internal air cavity including trim component are included in the simulation. The car body includes the windshield and two side windows. The body is made of aluminum and trimmed with porous layers. The methodology proposed in this paper relies on two steps: the first step involves the computation of the exterior flow and turbulence induced non-linear acoustic field using PowerFlow. The second step consists in the computation of the vibro-acoustic transmission through the window using the finite element vibro-acoustic solver Actran. Additionally in order to validate the numerical process, an experimental set-up has been created based on the simplified vehicle. The vibration of the windshield and windows, the total wind noise level results and the relative contributions of the different windows are then presented and compared to measurements. The influence of the flow yaw angle (different wind orientation) is also assessed.

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Seasonal effectiveness of a Korean traditional deciduous windbreak in reducing wind speed

  • Koh, Insu;Park, Chan-Ryul;Kang, Wanmo;Lee, Dowon
    • Journal of Ecology and Environment
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    • v.37 no.2
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    • pp.91-97
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    • 2014
  • Little is known about how the increased porosity of a deciduous windbreak, which results from loss of leaves, influences wind speed reduction. We hypothesized that, with loss of foliage, the wind speed reduction effectiveness of a deciduous windbreak decreases on near leeward side but not on further leeward side and that wind speed recovers faster in the full foliage season than in other seasons. During summer, autumn, and winter (full, medium, and non-foliage season, respectively), we observed wind speed and direction around a deciduous windbreak in a traditional Korean village on windward and near and further leeward sides (at -8H, 2H, and 6H; H = 20 m, a windbreak height). We used a linear mixed effects model to determine that the relative wind speed reduction at 2H significantly decreased from 83% to 48% ($F_{2,111.97}=73.6$, P < 0.0001) with the loss of foliage. However, the relative wind speed reduction at 6H significantly increased from 26% to 43% ($F_{2,98.54}=18.5$, P < 0.0001). Consequently, wind speed recovery rate between 2H and 6H in summer was two times higher than in autumn and ten times higher than in winter ($F_{2,102.93}=223.1$, P < 0.0001). These results indicate that deciduous windbreaks with full foliage seem to induce large turbulence and increase wind speed recovery rate on leeward side. Our study suggests that further research is needed to find the optimal foliage density of a deciduous windbreak for maximizing windbreak effectiveness regardless of seasonal foliage changes.

Fluid-structure Interaction Analysis of Large Sandwich Panel Structure for Randomly Distributed Wind Load considering Gust Effects (거스트 영향이 고려된 랜덤 분포 풍하중에 대한 대형 샌드위치 패널 구조물의 유체-구조 연성해석)

  • Park, Dae Woong
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.12
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    • pp.1035-1044
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    • 2013
  • Because of the high specific stiffness and strength inherent in the sandwich structure composed of facesheet that resists in-plane loads and a core that resists out-of-plane loads, it is often used for large and light-weighted structures. However, inevitably the increased flexibility allows greater deformation-based disturbances in the structures. Thus, it is necessary to analyze the structural safety. To obtain more accurate analytical results, the input disturbances must more closely simulate real load conditions; to improve accuracy, non-linear elements such as gust effects were considered. In addition, the structural safety was analyzed for the iso-grid sandwich panel structure using fluid-structure interactions. For a more realistic simulation, flow velocity fields, which consider the effects of irregular gust fluctuation, were generated and the coupled field was analyzed by mapping the pressure and displacement.

Direct numerical simulations of viscoelastic turbulent channel flows at high drag reduction

  • Housiadas Kostas D.;Beris Antony N.
    • Korea-Australia Rheology Journal
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    • v.17 no.3
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    • pp.131-140
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    • 2005
  • In this work we show the results of our most recent Direct Numerical Simulations (DNS) of turbulent viscoelastic channel flow using spectral spatial approximations and a stabilizing artificial diffusion in the viscoelastic constitutive model. The Finite-Elasticity Non-Linear Elastic Dumbbell model with the Peterlin approximation (FENE-P) is used to represent the effect of polymer molecules in solution, The corresponding rheological parameters are chosen so that to get closer to the conditions corresponding to maximum drag reduction: A high extensibility parameter (60) and a moderate solvent viscosity ratio (0.8) are used with two different friction Weissenberg numbers (50 and 100). We then first find that the corresponding achieved drag reduction, in the range of friction Reynolds numbers used in this work (180-590), is insensitive to the Reynolds number (in accordance to previous work). The obtained drag reduction is at the level of $49\%\;and\;63\%$, for the friction Weissenberg numbers 50 and 100, respectively. The largest value is substantially higher than any of our previous simulations, performed at more moderate levels of viscoelasticity (i.e. higher viscosity ratio and smaller extensibility parameter values). Therefore, the maximum extensional viscosity exhibited by the modeled system and the friction Weissenberg number can still be considered as the dominant factors determining the levels of drag reduction. These can reach high values, even for of dilute polymer solution (the system modeled by the FENE-P model), provided the flow viscoelasticity is high, corresponding to a high polymer molecular weight (which translates to a high extensibility parameter) and a high friction Weissenberg number. Based on that and the changes observed in the turbulent structure and in the most prevalent statistics, as presented in this work, we can still rationalize for an increasing extensional resistance-based drag reduction mechanism as the most prevalent mechanism for drag reduction, the same one evidenced in our previous work: As the polymer elasticity increases, so does the resistance offered to extensional deformation. That, in turn, changes the structure of the most energy-containing turbulent eddies (they become wider, more well correlated, and weaker in intensity) so that they become less efficient in transferring momentum, thus leading to drag reduction. Such a continuum, rheology-based, mechanism has first been proposed in the early 70s independently by Metzner and Lamley and is to be contrasted against any molecularly based explanations.

CO2 Exchange in Kwangneung Broadleaf Deciduous Forest in a Hilly Terrain in the Summer of 2002 (2002년 여름철 경사진 광릉 낙엽 활엽수림에서의 이산화탄소 교환)

  • Choi, Tae-jin;Kim, Joon;Lim, Jong-Hwan
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.5 no.2
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    • pp.70-80
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    • 2003
  • We report the first direct measurement of $CO_2$ flux over Kwangneung broadleaf deciduous forest, one of the tower flux sites in KoFlux network. Eddy covariance system was installed on a 30 m tower along with other meteorological instruments from June to August in 2002. Although the study site was non-ideal (with valley-like terrain), turbulence characteristics from limited wind directions (i.e., 90$\pm$45$^{\circ}$) was not significantly different from those obtained at simple, homogeneous terrains with an ideal fetch. Despite very low rate of data retrieval, preliminary results from our analysis are encouraging and worthy of further investigation. Ignoring the role of advection terms, the averaged net ecosystem exchange (NEE) of $CO_2$ ranged from -1.2 to 0.7 mg m$^{-2}$ s$^{-1}$ from June to August in 2002. The effect of weak turbulence on nocturnal NEE was examined in terms of friction velocity (u*) along with the estimation of storage term. The effect of low uf u* NEE was obvious with a threshold value of about 0.2 m s$^{-1}$ . The contribution of storage term to nocturnal NEE was insignificant; suggesting that the $CO_2$ stored within the forest canopy at night was probably removed by the drainage flow along the hilly terrain. This could be also an artifact of uncertainty in calculations of storage term based on a single-level concentration. The hyperbolic light response curves explained >80% of variation in the observed NEE, indicating that $CO_2$ exchange at the site was notably light-dependent. Such a relationship can be used effectively in filling up the missing gaps in NEE data through the season. Finally, a simple scaling analysis based on a linear flow model suggested that advection might play a significant role in NEE evaluation at this site.