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

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Numerical Analysis on the Internal Flow Field Characteristics of Wind Tunnel Contractions with Morel's Equation (모렐 식을 갖는 풍동수축부의 내부유동장 특성에 대한 수치해석)

  • Kim, Jang-Kweon;Oh, Seok-Hyung
    • Journal of Power System Engineering
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    • v.22 no.1
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    • pp.11-17
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    • 2018
  • The steady-state, incompressible and three-dimensional numerical analysis was carried out to evaluate the internal flow fields characteristics of wind tunnel contractions made by Morel's curve equations. The turbulence model used in this study is a realizable ${\kappa}-{\varepsilon}$ well known to be excellent for predicting the performance of the flow separation and recirculation flow as well as the boundary layer with rotation and strong back pressure gradient. As a results, when the flow passes through the interior space of the analytical models, the flow resistance at the inlet of the plenum chamber is the largest at $Z_m=300$, 400 mm, but the smallest at $Z_m=700mm$. The maximum turbulence intensity in the test section is about 2.5% when calculated by the homogeneous flow, so it is improved by about 75% compared to the 10% turbulence intensity at the inlet of the plenum chamber due to the contraction.

The Effect of Annular Slit on a Compressible Spiral Jet Flow (스파이럴 제트 유동에 미치는 환형 슬릿의 영향에 관한 연구)

  • Cho, Wee-Bun;Baek, Seung-Cheul;Kim, Heuy-Dong
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.2029-2034
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    • 2004
  • Spiral jet is characterized by a wide region of the free vortex flow with a steep axial velocity gradient, while swirl jet is largely governed by the forced vortex flow and has a very low axial velocity at the jet axis. However, detailed generation mechanism of spiral flow components is not well understood, although the spiral jet is extensively applied in a variety of industrial field. In general, it is known that spiral jet is generated by the radial flow injection through an annular slit which is installed at the inlet of a conical convergent nozzle. The present study describes a computational work to investigate the effects of annular slit on the spiral jet. In the present computation, a finite volume scheme is used to solve three dimensional Naver-Stokes equations with RNG ${\kappa}-{\varepsilon}$ turbulent model. The annular slit width and the pressure ratio of the spiral jet are varied to obtain different spiral flows inside the conical convergent nozzle. The present computational results are compared with the previous experimental data. The results obtained obviously show that the annular slit width and the pressure ratio of the spiral jet strongly influence the characteristics of the spiral jets, such as tangential and axial velocities.

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Investigation of the essential parameters governing starting characteristic in the second throat exhaust diffuser for high altitude simulation (고도모사용 2 차목 초음속 디퓨져 시동특성에 영향을 미치는 파라미터에 관한 연구)

  • Park, Sung-Hyun;Park, Byung-Hoon;Lim, Ji-Hwan;Yoon, Woong-Sup
    • Proceedings of the KSME Conference
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    • 2008.11b
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    • pp.2642-2647
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    • 2008
  • Starting characteristics of the axi-symmetric supersonic exhaust diffuser(SED) with a second throat are numerically investigated. Main purpose of this study is to predict theoretical starting pressure of STED using 1-D normal shock theory and to present the range of optimum starting pressure through parametric study with essential design parameters of STED influencing on starting performance. Renolds-Average Navier-Stokes equations with a standard ${\kappa}-{\varepsilon}$ turbulence model incorporated with standard wall function are solved to simulate the diffusing evolutions of the nozzle plume. Minimum(optimum) starting pressure difference of $20{\sim}25%$ between 1-D theory and experimental evidences validated from previous results[5] is also applied to predict those in this system. The analysis results indicate that dominant parameters for diffuser starting in this system is diffuser expansion ratio($A_d/A_t$), which has optimum value 120 and second throat area ratio($A_d/A_{st}$), which has optimum range $3.3{\sim}3.5$.

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A numerical study on the effects of the asymmetric cusp magnetic field in 8 inch silicon single crystal growth by Czochralski method (초크랄스키법에 의한 8인치 실리콘 단결정 성장시 비대칭 커스프자장의 영향에 관한 연구)

  • 이승철;정형태;윤종규
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.6 no.1
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    • pp.1-10
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    • 1996
  • A numerical study was conducted on the effects of the cusp magnetic field in 8" silicon single crystal grwoth by Czochralski method. For a damping effects simulation by magnetic field, low reynolds number ${\kappa} - {\varepsilon}$ model was adopted. Symmetrci cusp magnetic field has a effect of damping streamline crystal, is lowerd with the increasing cusp magnetic field intensity. The uniformity of the oxygen concentration was improved. The asymmetirc cusp magnetic field increased the oxygen concentration however, oxygen concentration distribution in the radial direction was remained uniform. Suitable combination of symmetric and asymmetric cusp magnetic fields could give uniform and low oxygen concentration in the axial direction.tion.

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On the domain size for the steady-state CFD modelling of a tall building

  • Revuz, J.;Hargreaves, D.M.;Owen, J.S.
    • Wind and Structures
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    • v.15 no.4
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    • pp.313-329
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    • 2012
  • There have existed for a number of years good practice guidelines for the use of Computational Fluid Dynamics (CFD) in the field of wind engineering. As part of those guidelines, details are given for the size of flow domain that should be used around a building of height, H. For low-rise buildings, the domain sizes produced by following the guidelines are reasonable and produce results that are largely free from blockage effects. However, when high-rise or tall buildings are considered, the domain size based solely on the building height produces very large domains. A large domain, in most cases, leads to a large cell count, with many of the cells in the grid being used up in regions far from the building/wake region. This paper challenges this domain size guidance by looking at the effects of changing the domain size around a tall building. The RNG ${\kappa}-{\varepsilon}$ turbulence model is used in a series of steady-state solutions where the only parameter varied is the domain size, with the mesh resolution in the building/wake region left unchanged. Comparisons between the velocity fields in the near-field of the building and pressure coefficients on the building are used to inform the assessment. The findings of the work for this case suggest that a domain of approximately 10% the volume of that suggested by the existing guidelines could be used with a loss in accuracy of less than 10%.

Evaluation of Accuracy for the Simulation of Salinity using SWASH model (SWASH모형을 이용한 염분분포모의 정확성 평가)

  • Shin, Choong Hun;Jang, Euncheul;Jang, Jeongryeol
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.90-90
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    • 2019
  • 본 연구에서는 SWASH(Simulating WAves till SHore) 모형의 염분분포 해석의 정확성을 평가하기 위해 Goswami et al.(2007)의 모형실험을 재현하였다. SWASH모형은 Delft 대학에서 개발된 비정수압수치모형으로 연직방향으로 층(layer)을 나누어 자유수면변위를 정확하게 예측하고 표준 ${\kappa}-{\varepsilon}$ 난류모델을 이용해 염분, 온도 및 침전물 등의 난류확산을 계산한다. 우선 Goswami et al.(2007)의 모형실험 중 정상상태의 모형실험을 이용해 층수에 따른 수치모형의 정확도를 평가하였다. SWASH 모형의 층수를 늘리며 수치모의를 수행한 결과, 층수가 늘어날수록 종, 횡 방향의 염분농도 분포가 정확하게 나타나는 것을 확인하였다. 추가로 SWASH 수치모형을 이용해 염수침투 및 후퇴 상태의 모형실험도 수치모의하였다. 염수의 공급에 따라 시간에 따른 염분농도 분포가 변화하는 것을 확인하였다. 또한 연직방향의 층수가 많은 경우 모형실험의 결과와 비교적 잘 일치하는 것을 확인할 수 있다. 따라서 연직방향의 층수를 늘려감에 따라 수심방향으로 더 정밀한 염분분포 해석이 가능하다는 것을 알 수 있다. 그러나 연직방향으로 많은 층을 나눈 경우 계산시간이 증가하기 때문에 수심이 작거나 연직방향의 염분농도 분포가 중요하지 않은 경우라면 적절한 층수(5~10 layer)를 고려해 수치모의를 수행하는 것이 시간과 비용측면에서 더욱 경제적이라고 할 수 있다.

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Multi-Objective Shape Optimization of an Axial Fan Blade

  • Samad, Abdus;Lee, Ki-Sang;Kim, Kwang-Yong
    • International Journal of Air-Conditioning and Refrigeration
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    • v.16 no.1
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    • pp.1-8
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    • 2008
  • Numerical optimization for design of a blade stacking line of a low speed axial flow fan with a fast and elitist Non-Dominated Sorting of Genetic Algorithm(NSGA-II) of multi-objective optimization using three-dimensional Navier-Stokes analysis is presented in this work. Reynolds-averaged Navier-Stokes(RANS) equations with ${\kappa}-{\varepsilon}$ turbulence model are discretized with finite volume approximations and solved on unstructured grids. Regression analysis is performed to get second order polynomial response which is used to generate Pareto optimal front with help of NSGA-II and local search strategy with weighted sum approach to refine the result obtained by NSGA-II to get better Pareto optimal front. Four geometric variables related to spanwise distributions of sweep and lean of blade stacking line are chosen as design variables to find higher performed fan blade. The performance is measured in terms of the objectives; total efficiency, total pressure and torque. Hence the motive of the optimization is to enhance total efficiency and total pressure and to reduce torque.

Impacts of wave and tidal forcing on 3D nearshore processes on natural beaches. Part I: Flow and turbulence fields

  • Bakhtyar, R.;Dastgheib, A.;Roelvink, D.;Barry, D.A.
    • Ocean Systems Engineering
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    • v.6 no.1
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    • pp.23-60
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    • 2016
  • The major objective of this study was to develop further understanding of 3D nearshore hydrodynamics under a variety of wave and tidal forcing conditions. The main tool used was a comprehensive 3D numerical model - combining the flow module of Delft3D with the WAVE solver of XBeach - of nearshore hydro- and morphodynamics that can simulate flow, sediment transport, and morphological evolution. Surf-swash zone hydrodynamics were modeled using the 3D Navier-Stokes equations, combined with various turbulence models (${\kappa}-{\varepsilon}$, ${\kappa}-L$, ATM and H-LES). Sediment transport and resulting foreshore profile changes were approximated using different sediment transport relations that consider both bed- and suspended-load transport of non-cohesive sediments. The numerical set-up was tested against field data, with good agreement found. Different numerical experiments under a range of bed characteristics and incident wave and tidal conditions were run to test the model's capability to reproduce 3D flow, wave propagation, sediment transport and morphodynamics in the nearshore at the field scale. The results were interpreted according to existing understanding of surf and swash zone processes. Our numerical experiments confirm that the angle between the crest line of the approaching wave and the shoreline defines the direction and strength of the longshore current, while the longshore current velocity varies across the nearshore zone. The model simulates the undertow, hydraulic cell and rip-current patterns generated by radiation stresses and longshore variability in wave heights. Numerical results show that a non-uniform seabed is crucial for generation of rip currents in the nearshore (when bed slope is uniform, rips are not generated). Increasing the wave height increases the peaks of eddy viscosity and TKE (turbulent kinetic energy), while increasing the tidal amplitude reduces these peaks. Wave and tide interaction has most striking effects on the foreshore profile with the formation of the intertidal bar. High values of eddy viscosity, TKE and wave set-up are spread offshore for coarser grain sizes. Beach profile steepness modifies the nearshore circulation pattern, significantly enhancing the vertical component of the flow. The local recirculation within the longshore current in the inshore region causes a transient offshore shift and strengthening of the longshore current. Overall, the analysis shows that, with reasonable hypotheses, it is possible to simulate the nearshore hydrodynamics subjected to oceanic forcing, consistent with existing understanding of this area. Part II of this work presents 3D nearshore morphodynamics induced by the tides and waves.

NUMERICAL ANALYSIS FOR FLOW CHARACTERISTICS WITH GEOMETRIC SHAPE AND CONTROL CONDITIONS IN SUBSEA BY-PASS VALVE (심해저 바이패스 밸브의 기하학적 형상과 제어조건에 따른 유동특성에 관한 수치해석적 연구)

  • Lee, J.H.;Min, C.H.;Oh, J.W.;Cho, S.;Kim, H.W.
    • Journal of computational fluids engineering
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    • v.21 no.2
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    • pp.99-105
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    • 2016
  • The present study has been carried out to analyze the flow characteristics with geometric shape and control conditions in subsea by-pass valve. The function of by-pass valve is to prevent reverse flow. In this study, the static analysis has been perform for analyzing fluid flow in open state. In order to consider the turbulent effect, the standard ${\kappa}-{\varepsilon}$ model was used. A variety of parametric studies, such as by-pass valve type or size, volume flow rate, leakage hole size, leakage hole position, block type, block shape, were performed. The pressure difference across the valve in the model broadened the flow channel cross-sectional area was greater than the base model for the same operating conditions. As the pipe diameter in the block decreases the pressure difference is greatly increased. The pressure difference according to block shape such as edge type and round was almost negligible. For the same Reynolds number the pressure difference was little changed according to the size of the valve.

The Effects of Windbreaks on Reduction of Suspended Particles (방풍벽에 의한 비산 먼지 저감 효과)

  • Song, Chang-Keun;Kim, Jae-Jin;Song, Dong-Woong
    • Atmosphere
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    • v.17 no.4
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    • pp.315-326
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    • 2007
  • The effects of windbreaks on the reduction of suspended particles are investigated using a computational fluid dynamics (CFD) model with the ${\kappa}-{\varepsilon}$ turbulence closure scheme based on the renormalization group (RNG) theory. In the control experiment, the recirculation zones behind the storage piles are generated and, as a whole, relatively monotonous flow patterns appear. When the windbreaks with the 0% porosity are constructed, the recirculation zones are generated by the windbreaks and very complicated flow patterns appear due to the interference between the windbreaks and storage piles. The porosity of the windbreaks suppresses the generation of the recirculation zone and decreases the wind velocity in the windbreaks as well as that outside the windbreaks. As the emission of suspended particles from the storage piles are closely related with the friction velocity at the surfaces of the storage piles, variation of the friction velocity and total amount of the emission of the suspended particles with the height and porosity of the windbreaks are investigated. The results show that higher and more porous windbreaks emit less suspended particles and that the reduction effect of the porosity is still more effective than that of the height. In the case of the windbreak with 30 m height and 50% porosity, friction velocities above the storage piles are smaller than the critical friction velocity above which particles would be suspended. As a result, total amount of suspended particles are much fewer than those in other cases.