• Title/Summary/Keyword: k-$\varepsilon$모델

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Analysis of Gaseous Hydrogen/liquid Oxygen Combustion Processes at Supercritical State (초임계 압력에서 기체수소/액체산소의 연소과정 해석)

  • Kim, Tae-Hoon;Kim, Seong-Ku;Kim, Yong-Mo
    • Journal of ILASS-Korea
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    • v.15 no.4
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    • pp.189-194
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    • 2010
  • This study has been mainly motivated to numerically model the transcritical mixing and reacting flow processes encountered in the liquid propellant rocket engines. In the present approach, turbulence is represented by the extended k-$\varepsilon$ turbulence model. To account for the real fluid effects, the propellant mixture properties are calculated by using SRK (Souve-Redlich-Kwong) equation of state model. In order to realistically represent the turbulence-chemistry interaction in the turbulent non-premixed flames, the flamelet approach based on the real fluid flamelet library has been adopted. Based on numerical results, the detailed discussions are made for the real fluid effects and the precise structure of the transcritical cryogenic liquid nitrogen jet and gaseous hydrogen/liquid oxygen coaxial jet flame.

A Finite Element Modeling on the Fluid Flow and Solidification in a Continuous Casting Process (연속주조공정에서의 유동과 응고에 대한 유한요소 모델링)

  • Kim, Tae-Hun;Kim, Deok-Soo;Choi, Hyung-Chul;Kim, Woo-Seung;Lee, Se-Kyun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.7
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    • pp.820-830
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    • 1999
  • The coupled turbulent flow and solidification is considered in a typical slab continuous easting process using commercial program FIDAP. Standard $k-{\varepsilon}$ turbulence model is modified to decay turbulent viscosity in the mushy zone and laminar viscosity is set to a sufficiently large value at the solid region. This coupled turbulent flow and solidification model also contains thermal contact resistance due to the mold powder and air gap between the strand and mold using an effective thermal conductivity. From the computed flow pattern, the trajectory of inclusion particles was calculated. The comparison between the predicted and experimental solidified shell thickness shows a good agreement.

Numerical Investigation for Drag Prediction of an Axisymmetric Underwater Vehicle with Bluff Afterbody (기저부를 갖는 축대칭 수중운동체의 저항예측에 관한 수치적 연구)

  • Kim, Min-Jae
    • Journal of the Korea Institute of Military Science and Technology
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    • v.13 no.3
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    • pp.372-377
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    • 2010
  • The objective of this study is to predict the drag of an axisymmetric underwater vehicle with bluff afterbody using CFD. FLUENT, commercial CFD code, is used to simulate high Reynolds number turbulent flows around the vehicle. The computed drag coefficients are compared to available experimental data at various Reynolds numbers. Four widely used two-equation turbulence models are investigated to evaluate their performance of predicting the anisotropic turbulence in a recirculating flow region, which is caused by flow separation arising from the base of the vehicle. The simulations with Realizable ${\kappa}-{\varepsilon}$ and ${\kappa}-{\omega}$ SST turbulence models predict the anisotropic turbulent flows comparatively well and the drag prediction results with those models show good agreements with the experimental data.

A Numerical Study of the Three-Dimensional Convective Heat Transfer in an Infant Incubator (신생아 보육기 내에서의 삼차원 대류 열전달에 관한 수치해석)

  • 전성수;김영호
    • Journal of Biomedical Engineering Research
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    • v.22 no.1
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    • pp.35-40
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    • 2001
  • 압력기반의 유한체적법과 k-$\varepsilon$난류모델을 이용하여 신생아 보육기 내의 삼차원 정상난류유동해석과 대류현상에 의한 열전달을 해석하였다. 보육기 내의 주된 공기유동은 입구에서 유입된 공기가 보육기 위쪽을 지나 출구로 이동하며 각진 구석에서 작은 와류들이 관찰되었다. 보육기의 입구부를 제외한 대부분에서의 유속은 0.1m/s 이하로 나타났으며, 신생아의 다리부분에서의 속도가 머리부분보다 다소 크게 관찰되었다. 입구쪽의 온도가 출구쪽의 온도보다 1~2$^{\circ}C$ 높게 나타났으며 속도 크기가 큰 다리부분에서의 온도가 머리 또는 목부분보다 다소 낮았다. 보육기 내의 온도변화는 약3~4$^{\circ}C$로 다소 크게 나타났는데 이는 입구에서 유입된 공기가 상벽과 직각으로 만나며, 보육기 외벽의 각진 구석부분에 의한 영향으로 생각된다. 따라서 입구속도를 적절히 줄이거나 유선형의 유동을 갖도록 설계하여 열손실을 최소화한다면 보다 효율적인 보육기가 될 것으로 생각된다.

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CFD Analysis on Base Region of Small Scaled 4 Nozzle Clustered Engine Configuration (CFD를 이용한 축소형 공기 클러스터드 노즐의 저부 유동 분석)

  • Kim, Seong-Lyong;Kim, In-Sun
    • Aerospace Engineering and Technology
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    • v.11 no.1
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    • pp.68-77
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    • 2012
  • Flow characteristics of base region of small scaled 4 nozzle clustered engine has been analyzed with CFD approach along with the tests of numerical methods. The numerical test shows that Spalart-Allmaras turbulence model is appropriate for the present research. Plumes expanded from nozzles exits collide with each other and make high pressure stagnation region. Some of collided plumes expand again reversely into the base region with supersonic speeds. The reversed plume in the base region goes out to the outer region through the minimum vent area formed by the nearest nozzle exterior surfaces. But different from the empirical theory, the minimum vent area does not play a role of throat. Additionally the temperature of the nozzle inner surface strongly affects the temperature of the reversed plumes.

Predicting Lift of Rotor Blade for Agricultural Unmanned Helicopter using CFD Simulation (CFD 시뮬레이션을 이용한 농용 회전익기의 로터블레이드 양력성능 예측)

  • Koo, Young Mo;Won, Yong Sik;Hong, Jong Geun;Ali, H.B.;Sohn, Chang Hyun
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 2017.04a
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    • pp.59-59
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    • 2017
  • 무인 헬리콥터의 양력을 개선하기 위한 익형 설계 단계로서 두꺼운 익형(V1505A)과 얇고 처진 익형(V2008B)의 기본 두 익형의 특성을 예측하는데 있어 회전하는 블레이드의 현실적 조건을 반영한 3D 모델을 마련하고 성능을 예측하였다. Fluent를 이용한 400 mm 선형모델의 시뮬레이션에서는 V1505A 익형은 높은 받음각에서 안정적인 특성을 보인 반면 V2008B는 비교적 높은 동력효율 특성을 보였으나, 높은 받음각에서는 실속 이후 양력이 급락하는 특성을 나타낸다. 형성된 노드 수는 약 870,000개로 하였다. 시위길이 135 mm인 익형 V2008B의 형상은 ANSYS (Fluent v16.2)를 이용해 반경(길이) 1,502 (1,380) mm 의 로터 블레이드를 구성하였다. 충분하지 않은 유동장이 익형 표면에서의 유동의 영향에 영향을 주지 않도록 직경 20 m의 원방경계(far field)를 형성하였다. 사용된 매쉬의 형태는 정사면체 형태로 로터 표면으로부터의 첫 번째 두께 높이는 0.001 m이고 10개의 층으로 형성하였다. 정지 비행하는 헬리콥터의 상태를 가정하여 회전좌표계를 이용하여 정상상태의 유동을 해석하고 사용된 난류모델은 넓은 영역에서의 유동을 고려하여 Realizable $k-{\varepsilon}$ 모델을 사용하였다. 내측그립 받음각 $6{\sim}22^{\circ}$에 대하여 현실적인 회전속도를 연동하여 600~1000 rpm을 적용하였다. 반복수(iteration)는 2000으로 하여 잔차값(residual)이 충분히 수렴하도록 하였다. 전체적으로 실제 헬리콥터가 발휘하는 양력보다는 낮은 수치로 예측되었으며 모델 및 해석 조건에 대한 검토가 필요해 보인다. 양력 값은 받음각 $10^{\circ}$에서 자중(약 68 kgf)을 극복하였고 받음각 $12^{\circ}$에 유상하중 20 kgf을 발휘하며 888 N의 양력을 보였다, 이어 받음각 $22^{\circ}$에서 실속 현상이 발생하였다. 받음각이 증가함에 따라 항력 역시 증가하였으며 받음각 $12^{\circ}$에서 121 N이었고 실속에 이르며 항력은 갑자기 증가할 것으로 예측된다. 본 연구는 변이 익형 개발의 선행 단계로 기본 익형에 대한 공력특성을 CFD 시뮬레이션을 통하여 예측하였다. 예측 값은 현실적 실험방법을 통하여 검증이 되어야 하며 이후 변이익형에 대한 예측과 설계가 가능하다.

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A Study on the Migration Characteristics of Cs-137 in a Packed Column (충전층에서의 세슘-137의 이동특성에 관한 연구)

  • Lee, Jae-Owan;Cho, Won-Jin;Han, Kyung-Won;Park, Hun-Hwee
    • Nuclear Engineering and Technology
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    • v.22 no.1
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    • pp.20-28
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    • 1990
  • In this study the migration experiment using packed column with crushed tuff was conducted as a basic research to develop migration model of radionuclides through geologic media. The main emphasis was put on evaluating the validity of migration models. For this, two models were introduced: one is the model which is based on the assumption of instantaneous equilibrium reaction and the other the model based on kinetic process such as intraparticle diffusion. The coefficient of hydrodynamic dispersion in packed column was determined using iodine as nonsorbing tracer. The hydrodynamic dispersion coefficient, D$_{L}$ was shown to be 0.11$\times$10$^{-2}$ $\textrm{cm}^2$/min under the condition of the column porosity of 0.483 and the average water velocity of 0.915$\times$10$^{-2}$ cm/min. The distribution coefficient, Kd of Cs-137 on crushed tuff was 11.3 cc/g at the concentration of 2$\times$10$^{-6}$ M and the temperature of 2$0^{\circ}C$. The breakthrough curve of Cs-137 through packed column was shown to have an asymmetric curve in which long trailing tail appears at the end part of the curve. The results obtained from the comparison of introduced models with experimental data indicated that the mass transfer model with intraparticle diffusion as rate-controlling step simulated the behaviors of Cs-137 migration more adequately, when compared with the bulk reaction model in which the assumption of instantaneous equilibrium reaction was maded. Consequently, the intraparticle diffusion was found to be an important factor in the migration of Cs-137 through packed column.n.

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Numerical Analysis of Flow Distribution in the Scaled-down APR+ Using Two-Equation Turbulence Models (2방정식 난류모델을 이용한 축소 APR+ 내부 유동분포 수치해석)

  • Lee, Gong Hee;Bang, Young Seok;Cheong, Ae Ju
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.27 no.4
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    • pp.220-227
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    • 2015
  • Complex thermal hydraulic characteristics exist inside the reactor because the reactor internals consist of fuel assembly, internal structures and so on. In this study, to examine the effect of Reynolds-Averaged Navier-Stokes (RANS)-based two-equation turbulence models in the analysis of flow distribution inside a 1/5 scaled-down APR+, simulation was performed using the commercial computational fluid dynamics software, ANSYS CFX R.13 and the predicted results were compared with the measured data. It was concluded that reactor internal flow pattern was locally different depending on the turbulence models. In addition, the prediction accuracy of k-${\varepsilon}$ model was superior to that of other two-equation turbulence models and this model predicted the relatively uniform distribution of core inlet flow rate.

Effect of Matrigel for Bone Graft using Hydroxyapatite/Poly $\varepsilon$-caprolactone Scaffold in a Rat Calvarial Defect Model (랫드의 두개골결손부 모델에서 HA/PCL 지지체를 사용한 골이식 시 Matrigel의 효과)

  • Kim, Se-Eun; Shim, Kyung-Mi;Kim, Seung-Eon;Choi, Seok-Hwa;Bae, Chun-Sik;Han, Ho-Jae;Kang, Seong-Soo
    • Journal of Veterinary Clinics
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    • v.27 no.4
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    • pp.325-329
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    • 2010
  • The osteogenic potential of hydroxyapatite/poly $\varepsilon$-caprolactone composite (HA/PCL) scaffolds with matrigel was evaluated in a rat calvarial defect model. Calvarial defect formation was surgically created in Sprague Dawley rats (n = 18). HA/PCL scaffold was grafted with matrigel (M-HA/PCL group, n = 6) or without matrigel (HA/PCL group, n = 6). A critical defect group (CD group, n = 6) did not received a graft. Four weeks after surgery, bone formation was evaluated with radiography, micro computed tomography (micro CT) scanning, and histologically. No bone tissue formation was radiographically evident in the CD group. Bone tissue was radiographically evident in the HA/PCL and M-HA/PCL groups, however, there was more bone-similar opacity in the M-HA/PCL group. Micro CT analysis revealed that the bone volume of the M-HA/PCL group was higher than the HA/PCL group, however, no significant difference was found between the HA/PCL and M-HA/PCL groups. Bone mineral density in the M-HA/ PCL group was significantly higher than in the HA/PCL group (p < 0.05). Histologically, new bone was formed only from existing bone in the CD group, showing concavity without bone formation in the defect. In the HA/PCL group, new bone formation was only derived from existing bone, while in the M-HA/PCL group the largest bone formation was observed, with new bone tissue forming at the periphery of existing bone and around the HA/PCL scaffold with matrigel. The results indicate that the combination of HA/PCL scaffold with matrigel may be an effective means of enhancing bone formation in critical-sized bone defects.

Incompressible/Compressible Flow Analysis over High-Lift Airfoil Using Two-Equation Turbulence Models (2-방정식 난류모델을 이용한 고양력 익형 주위의 비압축성/압축성 유동장 해석)

  • Kim Chang-Seong;Kim Jong-Am;No O Hyeon
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.90-95
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    • 1998
  • The two-dimensional incompressible and compressible Navier-Stokes codes are developed for the computation of the viscous turbulent flow over high-lift airfoils. Incompressible code using pseudo-compressibility and dual-time stepping method involves a conventional upwind differencing scheme for the convective terms and LU-SGS scheme for time integration. Compressible code also adopts an FDS scheme and LU-SGS scheme. Several two-equation turbulence models (the standard $k-{\varepsilon}$ model, the $k-{\omega}$ model. and $k-{\omega}$ SST model) are evaluated by computing the flow over single and multi-element airfoils. The compressible and incompressible codes are validated by computing the flow around the transonic RAE2822 airfoil and the NACA4412 airfoil, respectively. Both the results show a good agreement with experimental surface pressure coefficients and velocity profiles in the boundary layers. Also, the GA(W)-1 single airfoil and the NLR7301 airfoil with a flap are computed using the two-equation turbulence models. The grid systems around two- and three-element airfoil are efficiently generated using Chimera grid scheme, one of the overlapping grid generation methods.

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