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

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에너지${\cdot}$환경 제반 시스템에 관한 수치해석적 연구(II) (A Numerical Study on Various Energy and Environmental System (II))

  • 장동순;박병수;김복순;이은주;송우영
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1996년도 춘계 학술대회논문집
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    • pp.58-67
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    • 1996
  • This paper describes some computational results of various energy and environmental systems using Patankar's SIMPLE method. The specific topics handled in this study are jet bubbling reactor for flue gas desulfurization, cyclone-type afterburner for incineration, 200m tall stack for 500 MW electric power generation, double skin and heat storage systems of building energy saving for the utilization of solar heating, finally turbulent combustion systems with liquid droplet or pulverized coal particle. A control-volume based finite-difference method with the power-law scheme is employed for discretization. The pressure-velocity coupling is resolved by the use of the revised version of SIMPLE, that is, SIMPLEC. Reynolds stresses are closed using the standard $k-{\varepsilon}$ and RNG $k-{\varepsilon}$ models. Two-phase turbulent combustion of liquid drop or pulverized coal particle is modeled using locally-homogeneous, gas-phase, eddy breakup model. However simple approximate models are incorporated for the modeling of the second phase slip and retardation of ignition without consideration of any detailed particle behavior. Some important results are presented and discussed in a brief note. Especially, in order to make uniform exit flow for the jet bubbling reactor, a well-designed structure of distributor is needed. Further, the aspect ratio in the double skin system appears to be one of important factors to give rise to the visible change of the induced air flow rate. The computational tool employed in this study, in general, appears as a viable method for the design of various engineering system of interest.

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특수 방호공간에서 가상화재의 발생으로 인한 화재거동에 관한 수치적 연구 (A Numerical Study on the Fire Behavior Phenomena in a Special Fire Protection Compartment)

  • 김태국;손봉세
    • 한국방재학회 논문집
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    • 제1권1호
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    • pp.157-163
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    • 2001
  • 본 연구의 목적은 청정실 내부에서 가상의 화재가 발생할 경우 화재 확산 및 연기의 전파 현상을 예측하기 위하여 실시하였다. 청정실 내의 화재로 인한 온도 및 속도분포의 해석은 유한체적법을 이용한 수치적 방법으로 해석하였으며 난류유동장의 계산은 표준 $k-{\varepsilon}$ 모델을 적용하여 실시하였다. 본 연구 결과는 화재발생 후 150초가 지난 후에는 화재가 완전히 성장한 것으로 나타났으며 이 경우 환기장치는 화재가 완전히 성장한 후에 정지하는 것으로 가정하였다. 연기의 질량분율은 온도 분포와 거의 유사한 것으로 나타났다. 따라서 청정실에서 화재가 발생할 경우 화재 성장이 60초 내에 전공간의 $20{\sim}30%$까지 확산되므로 내부에 있는 사람은 30초 이내에 대피하는 것이 바람직하다.

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심장내 이식형 축류 혈액펌프 용혈특성에 관한 연구 (A Study on Hemolysis Characteristics of Intra-Cardiac Axial Flow Blood Pump)

  • 김동욱
    • 대한의용생체공학회:의공학회지
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    • 제21권4호
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    • pp.353-362
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    • 2000
  • 축류형 혈액펌프에서 발생하는 용혈이 이 펌프의 성공여부를 결정짓는 주요한 요인의 하나이다. 지금까지는 용혈을 알아내기 위해서는 in-vitro 적인 실험에 의하여 용혈량을 추정하였으나, 수치유체해석에 의한 용혈량의 추정이 가능하다고 생각된다. 따라서, 본 연구에서는 다양한 형태의 임펠러에 대하여, 난류모델은 k-$\varepsilon$모델을 사용하여 3차원 수치유체역학 해석을 시도하였다. 수치유체해석에 있어서는 펌프 유입측에 입자를 흘려 넣어 이 입자가 매일 10ms마다 받는 난류에너지를 구하여 전단응력으로 환산하였다. 해석결과 전단응력은 주로 임펠러의 후방에서 나타나는 것을 알 수 있었다. 수치유체해석결과의 신뢰성을 확인하기 위하여 임펠러의 in-vitro 실험에 의한 용혈시험 결과를 비교하였으나, 양자 사이에 상관도는 높은 것을 알 수 있었다. 상기한바와 같이 유체 해석에 의한 용혈 예측은 물론 용혈이 발생하는 주요 부위의 예측이 가능함을 시사하고 있어, 축류형 혈액펌프 개발시 용혈 특성 개선을 위한 설계도구로써의 유용함을 확인하였다.

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유동변수들이 석탄가스화에 미치는 민감도에 대한 수치적연구 (Parametric Sensitivity of the Flow Characteristics on Pulverized Coal Gasification)

  • 조한창;신현동
    • 한국연소학회지
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    • 제4권1호
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    • pp.1-15
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    • 1999
  • In order to analyze the sensitivity on the pulverized coal flames of the several variables, a numerical study was conducted at the gasification process. Eulerian approach is used for the gas phase, whereas lagrangian approach is used for the solid phase. Turbulence is modeled using the standard $k-{\varepsilon}$ model. The turbulent combustion incorporates eddy dissipation model. The radiation was solved using a Monte-Carlo method. One-step two-reaction model was employed for the devolatilization of Kideco coal. In pulverized flame of long liftoff height, the initial turbulent intensity seriously affects the position of flame front. The radiation heat transfer and wall heat loss ratio distort the temperature distributions along the reactor wall, but do not influence the reactor performance such as coal conversion, residence time and flame front position. The primary/secondary momentum ratio affects the position of flame front, but the coal burnout is only slightly influenced. The momentum ratio is a variable only associated with the flame stabilization such as flame front position. The addition of steam in the reactor has a detrimental effect on all the aspects, particularly reactor temperature and coal burnout.

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국소교란에 의한 박리 재부착 유동에서의 난류 열전달 수치해석 (Numerical Simulation of Turbulent Heat Transfer in Locally-Forced Separated and Reattaching Flow)

  • 리광훈;성형진
    • 대한기계학회논문집B
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    • 제25권1호
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    • pp.87-95
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    • 2001
  • A numerical study was made of heat transfer in locally-forced turbulent separated and reattaching flow over a backward-facing step. The local forcing was given to the flow by means of sinusoidally oscillating jet from a separation line. A Rhee and Sung version of the unsteady $\kappa$-$\varepsilon$-f(sub)u model and the diffusivity tensor heat transfer model were employed. The Reynolds number was fixed at Re(sub)H=33,000 and the forcing frequency was varied in the range 0$\leq$fH/U(sub)$\infty$$\leq$2. The condition of constant heat flux was imposed at the bottom wall. The predicted results were compared and validated with the experimental data of Chun and Sung and Vogel and Eaton. The enhancement of heat transfer in turbulent separated and reattaching flow by local forcing was evaluated and analyzed.

다점 확률분포 모델을 이용한 초임계 압력 액체질소 제트 해석 (Numerical Analysis of Cryogenic Liquid Nitrogen Jets at Supercritical Pressures using Multi-Environment Probability Density Function approach)

  • 정기영;김남수;김용모
    • 한국분무공학회지
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    • 제22권3호
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    • pp.137-145
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    • 2017
  • This paper describes numerical modeling of transcritical and supercritical fluid flows within a liquid propellant rocket engine. In the present paper, turbulence is modeled by standard $k-{\varepsilon}$ model. A conserved scalar approach in conjunction with multi-environment probability density function model is used to account for the turbulent mixing of real-fluids in the transcritical and supercritical region. The two real-fluid equations of state and dense-fluid correction schemes for mixtures are used to construct thermodynamic data library based on the conserved scalar. In this study, calculations are made on two cryogenic nitrogen jets under different chamber pressures. Sensitivity analysis for two different real-fluid equations of sate is particularly emphasized. Based on numerical results, precise structures of cryogenic nitrogen jets are discussed in detail. Numerical results show that the current real-fluid model can predict the essential features of the cryogenic liquid nitrogen jets.

플라스틱 판형 열교환기의 유동 및 열전달 특성에 관한 수치해석적 연구 (A Numerical Study on the Flow and Heat Transfer Characteristics of Plastic Plate Heat Exchanger)

  • 정민호;유성연;한규현;윤홍익
    • 대한설비공학회:학술대회논문집
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    • 대한설비공학회 2008년도 하계학술발표대회 논문집
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    • pp.1366-1371
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    • 2008
  • Four simulation models of plastic plate heat exchangers are designed and simulated. The flat plate type heat exchanger is designed as the reference model in order to evaluate how much thermal performance increases. The turbulence promoter type heat exchanger is fabricated with cylindrical-type vortex generators and rib-type turbulence promoters. The corrugate type is obtained from the conventional stainless steel compact heat exchangers, which are called the herringbone-type compact heat exchangers. The dimple type heat exchanger has a number of dimples on its surface. In this study, the flow and heat transfer characteristics of the plastic plate heat exchanger are investigated using numerical simulation and compared with experimental results. The flows are assumed as a three-dimensional, incompressible and turbulent model. The standard k-$\varepsilon$ model is used as the turbulent flow modeling, the SIMPLE algorithm is used to treat the coupling between pressure and velocity, and first order upwind scheme is used for discretization of momentum, turbulent and energy. The computational analysis and experimental results both show that the friction coefficient and Nu number is highest in the corrugate type.

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Numerical investigation on combined wave damping effect of pneumatic breakwater and submerged breakwater

  • Wang, Yanxu;Yin, Zegao;Liu, Yong;Yu, Ning;Zou, Wei
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제11권1호
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    • pp.314-328
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    • 2019
  • This paper attempts to combine the pneumatic breakwater and submerged breakwater to increase the effectiveness of wave damping for long-period waves. A series of physical experiments concerning pneumatic breakwater, submerged breakwater and their joint breakwater was conducted and used to validate a mathematical model based on Reynolds-averaged Navier-Stokes equations, the RNG $k-{\varepsilon}$ turbulence model and the VOF method. In addition, the mathematical model was used to investigate the wave transmission coefficients of three breakwaters. The nonlinear wave propagation behaviors and the energy transfer from lower frequencies to higher frequencies after the submerged breakwater were investigated in detail. Furthermore, an optimal arrangement between pneumatic breakwater and submerged breakwater was obtained for damping longer-period waves that cannot be damped effectively by the pneumatic breakwater alone. In addition, the reason for the appearance of the combination effect is that part of the energy of the transmitted waves over the submerged breakwater transfers to shorter-period waves. Finally, the impact of the joint breakwater on the wave field during wave propagation process was investigated.

A Study on the Radiation Effect of the Smoke Movement in Room Fires

  • Jeong, Jin-Yong;Ryou, Hong-Sun
    • International Journal of Air-Conditioning and Refrigeration
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    • 제10권3호
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    • pp.162-175
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    • 2002
  • To investigate smoke movement with radiation in a room fires, a numerical and experi-mental analysis were performed. In this paper, results from a field model based on a self-developed SMEP (Smoke Movement Estimating Program) were compared with Stockier's ex-periment and the experiments on various sized pool fires in a room with door The SMEP using PISO algorithm solves conservation equations for mass, momentum, energy and species, together with those for the modified k- $\varepsilon$ turbulence model with buoyancy term. Also it solves the radiation equation using the S-N discrete ordinates method (DOM). The result of the cal-culated smoke temperature considering radiation effect has shown good agreement compared with the experimental data, although there are large discrepancy in the hot smoke layer be-tween the temperature predicted by the SMEP with only convection effect and obtained by the experimental result. This large discrepancy is caused from the radiation effect of $H_2O$ and $CO_2$ gas under smoke productions. Hence the radiation effect under smoke in fire is the point to be specially considered in order to produce more realistic result.

Experimental Validation of Numerical Model for Turbulent Flow in a Tangentially Fired Boiler with Platen Reheaters

  • Zheng, Chang-Hao;Xu, Xu-Chang;Park, Jong-Wook
    • Journal of Mechanical Science and Technology
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    • 제17권1호
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    • pp.129-138
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    • 2003
  • A 1 : 20 laboratory scale test rig of a 200 MW tangentially fired boiler is built up with completely simulated structures such as platen heaters and burners. Iso-thermal turbulent flow in the boiler is mapped by 3-D PDA (Particle Dynamic Analyzer). The 3-D numerical models for the same case are proposed based on the solution of к-$\varepsilon$ model closed RANS (Reynolds time-Averaged Navier-Stokes) equations, which are written in the framework of general coordinates and discretized in the corresponding body-fitted meshes. Not only are the grid lines arranged to fit the inner/outer boundaries. but also to align with the streamlines to the best possibility in order to reduce the NDE (numerical diffusion errors). Extensive comparisons of profiles of mean velocities are carried out between experiment and calculation. Predicted velocities in burner region were quantitatively similar with measured ones, while those in other area have same tendency with experimental counterpart.