• Title/Summary/Keyword: Standard ${\kappa}-{\epsilon}$ Model

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Assessment of two-equation turbulent models in FLUENT for a turbulent heated pipe flow (열유속이 있는 난류 원관 유동에의 FLUENT의 2방정식 난류모델의 적용성 판단)

  • Moon C. M.;Baek S. G.;Park S. O.
    • 한국전산유체공학회:학술대회논문집
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    • 2003.08a
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    • pp.158-163
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    • 2003
  • This paper assesses the two-equation turbulence models available in a commercial code, FLUENT, for heat transfer in a turbulent heated pipe flow. In case of flow under $Re_D=10,000$, Standard $\kappa-\epsilon$ and Realizable $\kappa-\epsilon$ models overpredict the Nusselt number about $20\%$ compared with the experimental correlation, and RNG $\kappa-\epsilon$ model overpredicts about $30\%$ when the two-layer zonal method is employed. When wall function method is adopted, all $\kappa-\epsilon$ models show better predictions. Standard $\kappa-\omega$ and SST $\kappa-\omega$ models have the dependency on the first grid point ($0.3). As Reynolds number becomes high, the predictions of all $\kappa-\epsilon$ and $\kappa-\omega$ models are in a good agreement with the experimental correlation.

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Temperature and Velocity Characteristics in a Land Aquaculture Tank with a Various Inlet Flowrates (육상 수조식 양식장의 유입 유량 변화에 따른 온도와 속도의 특성)

  • Kim, Se-Hyun;Shin, You-Sik;Jun, You-Sin;Seo, Jong-Soo;Jeong, Hyo-Min;Chung, Han-Shik
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.2083-2088
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    • 2003
  • This study was performed to analyze the velocity and temperature distributions of the land aquaculture tank for fish breeding. In this study, we analyzed the velocity and temperature distributions in aquarium tank, and the finite volume method and standard ${\kappa}-{\epsilon}$ turbulence model with the SIMPLE computational algorithm are used to study the water flow in the aquarium. The main calculation parameters of the aquarium tank are the inlet flow rate with from 0.5 to 2.0L/M.

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Analysis of Two-Dimensional Turbulent Flow around the Horn-type Rudder (Horn-type Rudder 주위의 2 차원 난류유동 해석)

  • Jeong, Nam-Gyun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.11
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    • pp.924-931
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    • 2009
  • The two-dimensional turbulent flow around the horn-type rudder has been examined in the present study by using the commercial code FLUENT. The standard ${\kappa}-{\epsilon}$ model is used as a closure relationship. The geometry of horn rudder is based on the NACA 0020 airfoil. The simulations for various angle attack (${\alpha}$) and yaw angle(${\delta}$) are carried out. The effect of Reynolds number is also investigated in this study. The cavitation is more possible when the yaw angle is $6^{\circ}$ and it is more serious as Reynolds number increases.

Numerical Study on The Performance of Annular Jet Pump (환형제트펌프의 수치적 성능해석)

  • Kwon, O.B.;Kwon, H.C.
    • Journal of Power System Engineering
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    • v.5 no.1
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    • pp.50-56
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    • 2001
  • Jet pumps are used in a great number of engineering applications. In the present study, jet shapes, mixing chamber shapes, and numerical methods for predicting the performance of an annular-type jet pump are investigated to determine the optimal turbulence model. The flow fields are simulated by solving the momentum and the continuity equations with the standard ${\kappa}-{\epsilon}$ and the RNG ${\kappa}-{\epsilon}$ turbulence models at different Reynolds numbers. After that, they are compared with the corresponding experimental data to determine the optimal model. Next, various calculations are conducted to find an optimal shape using the selected turbulence model. The study shows us that the RNG ${\kappa}-{\epsilon}$ model predicts the performance more exactly, and also shows that the most effective performance can be achieved with $12^{\circ}$ reducing angle and 130mm throat length.

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The study of predictive performance of low Reynolds number turbulence model in the backward-facing step flow (후방계단유동에 대한 저레이놀즈 수 난류모형의 예측성능에 관한 연구)

  • Kim, Won-Gap;Choe, Yeong-Don
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.5
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    • pp.1661-1670
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    • 1996
  • Incompressible flow over a backward-facing step is computed by low Reynolds number turbulence models in order to compare with direct simulation results. In this study, selected low Reynolds number 1st and 2nd (Algebraic Stress Model : ASM) moment closure turbulence models are adopted and compared with each other. Each turbulence model predicts different flow characteristics, different re-attachment point, velocity profiles and Reynolds stress distribution etc. Results by .kappa.-.epsilon. turbulence models indicate that predicted re-attachment lengths are shorter than those by standard model. Turbulent intensity and eddy viscosity by low Reynolds number .kappa.-.epsilon. models are still greater than DNS results. The results by algebraic stress model (ASM) are more reasonable than those by .kappa.-.epsilon. models. The convective scheme is QUICK (Quadratic Upstream Interpolation for Convective Kinematics) and SIMPLE algorithm is adopted. Reynolds number based on step height and inlet free stream velocity is 5100.

Development of Multiple Production $\varepsilon$ Equation Model in Low Reynolds Number $\kappa$-$\varepsilon$ Model with the Aid of DNS Data (저 레이놀즈수 $\kappa$-$\varepsilon$psilon.모형에서 DNS 자료에 의한 $\varepsilon$방정식의 다중 생성률 모형 개발)

  • Sin, Jong-Geun;Choe, Yeong-Don
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.1
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    • pp.304-320
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    • 1996
  • A multiple production .epsilon. equation model was developed in the low Reynolds number $\kappa$-$\varepsilon$ model with the aids of DNS data. We derived the model theoretically and avoided the use of empirical correlations as much as possible in order for the model to have generality in the prediction of complex turbulent flow. Unavoidable model constants were, however, optimized with the aids of DNS data. All the production and dissipation models in the $\varepsilon$ equation were modified with damping functions to satisfy the wall limiting behavior. A new $f_{\mu}$ function, turbulent diffusion and pressure diffusion model for the k and .epsilon. equations were also proposed to satisfy the wall limiting behavior. By, computational investigation on the plane channel flows, we found that the multiple production model for .epsilon. equation could improve the near wall turbulence behavior compared with the standard production model without the complicated empirical modification. Satisfication of the wall limiting conditions for each turbulence model term was found to be most important for the accurate prediction of near wall turbulence behaviors.

Numerical Analyses of Three-Dimensinal Thermo-Fluid Flow through Mixing Vane in A Subchannel of Nuclear Reactor (원자로 부수로내 혼합날개를 지나는 삼차원 열유동 해석)

  • Choi S.C.;Kim K.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2002.05a
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    • pp.79-87
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    • 2002
  • The present work analyzed the effect of mixing vane shape on the flow structure and heat transfer downstream of mixing vane in a subchannel of fuel assembly, by obtaining velocity and pressure fields, turbulent intensity, flow-mixing factors, heat transfer coefficient and friction factor using three-dimensional RANS analysis. NJl5, NJ25, NJ35, NJ45, which were designed by the authors, were tested to evaluate the performances in enhancing the heat transfer. Standard $\kappa-\epsilon$ model is used as a turbulence closure model, and, periodic and symmetry conditions are set as boundary conditions. The flow blockage ratio is kept constant, but the twist angle of mixing vane is changed. The results with three turbulence models( $\kappa-\epsilon$, $\kappa-\omega$, RSM) were compared with experimental data.

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A Numerical Study on the Turbulent Flow in the Discharge Flow Path from a Diffuser to a Wall (디퓨저에서 벽면으로의 방출유로에서의 난류유동에 관한 수치 해석적 연구)

  • Lee J.;Kim Y. I.
    • 한국전산유체공학회:학술대회논문집
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    • 2001.10a
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    • pp.44-50
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    • 2001
  • A numerical study was made to choose the better turbulence model for the flow in the discharge flow path from a diffuser to a wall. In this study standard $\kappa-\epsilon$ model(SKE), RNG $\kappa-\epsilon$ model(RNG), and Reynolds stress model(RSM) were applied. In case of the flow with relatively high Reynolds number at a diffuser inlet, the pressure loss coefficients by RNG have a tendency to be near to those by SKE at small ratio(below about 0.35) of $h/D_o$, but to those by RSM at large ratio(above about 0.35). At large ratio RNG begins to enlarge the effects of rapid strain and streamline curvature. RNG & RSM are recommended as the appropriate turbulence models for this case. But it is noticeable that the velocity gradient pattern in RNG is same as in SKE, and also that the total pressure distribution in RNG is same as in RSM only at swirling flow area, same as in SKE only at main flow area.

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Development of the intermittency turbulence model for a plane jet flow (자유 평면 제트유동 해석을 위한 간혈도 난류모델의 개발)

  • 조지룡;정명균
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.3
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    • pp.528-536
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    • 1987
  • In a turbulent free shear flow, the large scale motion is characterized by the intermittent flow which arises from the interaction between the turbulent fluid and the irrotational fluid of the environment through the mean velocity gradient. This large scale motion causes a bulk convection whose effect is similar to the spatial diffusion process. In this paper, the total diffusion process is proposed to be approximated by weighted sum of the bulk convection due to the large scale motion and the usual gradient diffusion due to small scale motion. The diffusion term in conventional .kappa.-.epsilon. model requires on more equation of the intermittency transport equation. A production term of this equation means mass entrainment from the irrotational fluid to the turbulent one. In order to test the validity of the proposed model, a plane jet is predicted by this method. Numerical results of this model is found to yield better agreement with experiment than the standard .kappa.-.epsilon. model and Byggstoyl & Kollmann's model(1986). Present hybrid diffusion model requires further tests for the check of universality of model and for the model constant fix.

Study of the Radiation Effect by Equivalence ratio change on the 3-D Turbulent Combustion (당량비 변화에 따른 복사 특성이 3차원 난류 연소에 미치는 영향 연구)

  • Kim, Tea-Kuk;Yoon, Kyung-Beom;Min, Dong-Ho;Chang, Hee-Chul;Kim, Jin-Soo
    • 한국연소학회:학술대회논문집
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    • 2006.10a
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    • pp.79-85
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    • 2006
  • Radiative heat transfer is very important in many combustion systems since they are operated in high temperature. Fluid flows in most of the combustion systems are turbulent to promote fast mixing of the hydrocarbon fuel and oxidant. Major combustion products are $CO_2$ and $H_2O$. The turbulent flow is modeled by using the standard ${\kappa}-{\epsilon}$ model and the radiation transfer is modeled by using the discrete ordinates method where the radiative gas properties are calculated by using the weighted sum of gray gases model with a gray gas regrouping(WSGGM-RG). Effect of the radiation on the combustion characteristics in a three-dimensional rectangular enclosure is studied by changing the equivalence ratio. Results show that the radiation plays a significant role on the heat transfer in the combustion systems by resulting in a temperature drop of 16% as compared to that obtained without radiation. The equivalence ratio also affects the combustion by different contribution of the radiative transfer with different gas compositions.

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