• Title/Summary/Keyword: conservation of mass

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Modeling and Dynamic Simulation for Biological Nutrient Removal in a Sequencing Batch Reactor(I) (연속 회분식 반응조에서 생물학적 영양염류 제거에 대한 모델링 및 동적 시뮬레이션(I))

  • Kim, Dong Han;Chung, Tai Hak
    • Journal of Korean Society of Water and Wastewater
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    • v.13 no.3
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    • pp.42-55
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    • 1999
  • A mathematical model for biological nutrient removal in a sequencing batch reactor process, which is based on the IAWQ Activated Sludge Model No. 2 with a few modifications, has been developed. Twenty water quality components and twenty three kinetic equations are incorporated in the model. The model is structured in the matrix form based on the law of mass conservation using stoichiometry and kinetic equations. Stoichiometric coefficients and kinetic parameters included in the model equations are chosen from the literature. A multistep predictor-corrector algorithm of variable step-size is adopted for solving the vector nonlinear ordinary differential equations. The simulation for experimental results is conducted to evaluate the validity of the model and to calibrate coefficients and parameters. The simulation using the model well represents the experimental results from laboratory. The mathematical model developed in this study may be utilized for the design and operation of a sequencing batch reactor process under the steady and unsteady-state at various environmental conditions.

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Numerical Simulation of Bubble Motion During Nucleate Boiling (핵비등에서의 기포거동에 관한 수치해석)

    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.3
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    • pp.389-396
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    • 2001
  • Direct numerical simulation of bubble growth and merger process on a single nucleation site during partial nucleate boiling is performed. The equations governing conservation of mass, momentum and energy are solved using a finite difference method combined with a level set method for capturing the vapor-liquid interface. The level set method is modified to include the effects of phase change at the interface and contact angle at the wall. Also, a simplified formulation for predicting the evaporative heat flux in a thin liquid micro-layer is developed and incorporated into the level set formulation. Based on the numerical results, the bubble growth and merger pattern and its effect on the heat transfer are discussed.

The initial mass loss rates and the changes in carbon/nitrogen ratio of dead woods for the three dominant tree species in tropical rainforests of Brunei Darussalam (브루나이 열대우림 내 주요 3개 수종 고사목의 초기 질량 감소율과 탄질율 변화)

  • Roh, Yujin;Jang, Minju;Son, Yowhan
    • Korean Journal of Environmental Biology
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    • v.39 no.2
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    • pp.218-224
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    • 2021
  • This study was conducted to determine the mass-loss rates and the changes in carbon/nitrogen (C/N) ratio of dead woods, which were of following species: Dryobalanops aromatic, D. rappa, and Cratoxylum arborescens. These were dominant tree species in mixed Dipterocarp forests (MDF) and peat swamp forests (PSF) in Brunei Darussalam. In May, 2019, 48 dead wood samples (15 cm×4.8 cm×5 cm) were placed in MDF and PSF sites, and all the samples were collected after 16 months. The effects of species on mass loss were statistically significant (p<0.05); however, no difference was observed in the mass loss obtained from the two forest types (p>0.05). The initial density (g·cm-3) of the dead woods D. aromatic, D. rappa, and C. arborescens, was 0.64±0.02, 0.60±0.00, and 0.44±0.01, respectively. Also the annual mass loss rate (%) was estimated to be 6.37, 8.17, and 18.53 for D. aromatic, D. rappa, and C. arborescens, respectively. The proportion of dead woods in decay class III was only 25% of C. arborescens samples, which were attacked by wood-feeding invertebrates, such as termites. The C/N ratio decreased significantly in D. aromatic and D. rappa, but the decreasing trend of C/N ratio was not statistically significant in C. arborescens. The results indicate that physical traits of dead woods, such as density, could be one of the main factors causing the decomposition of dead woods initially, as invertebrates such as termites are one of the key decomposers of dead wood in tropical rainforests. In the samples of C. arborescens, which was attacked by invertebrates, nitrogen immobilization occurred to lesser extent as compared to that observed in D. aromatic and D. rappa.

CFD Model of the Base Flow on Axi-symmetric Nacelle Using Singularities (축대칭 나셀에서 특이점을 이용한 베이스 유동의 전산해석적인 모델)

  • Baik Doo Sung;Han Young Chool
    • Journal of computational fluids engineering
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    • v.6 no.2
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    • pp.1-8
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    • 2001
  • Despite the massive effort which has been given to the analysis of the base flows, one commonly occurring case seems to be overlooked. This is for base (rearward facing surface) which is between a subsonic flow and supersonic flow. Potential flows of the air and gas streams are computed for the flow past a separated wake. Then a viscous jet mixing is superimposed on this inviscid solution. Conservation of mass, momentum and energy is achieved by multiple iterations. Despite the iterations, the wake flow field is computed with modest computer requirements.

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Free Vibration of a Rectangular Plate Partially in Contact with a Liquid at Both Sides (양면에서 부분적으로 유체와 접하는 사각평판의 고유진동)

  • Jeong, Kyeong-Hoon;Lee, Gyu-Mahn;Kim, Tae-Wan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.42-47
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    • 2007
  • An analytical method for the free vibration of a flexible rectangular plate in contact with water is developed by the Rayleigh.Ritz method. The plate clamped along the edges is partially contacted with water at both sides. It is assumed that the water bounded by rigid walls is incompressible and inviscid. The wet mode shape of the plate is assumed as a combination of the dry mode shapes of a clamped beam. The liquid motion is described by using the liquid displacement potential and determined by using the compatibility conditions along the liquid interface with the plate. Minimizing the Rayleigh quotient based on the energy conservation gives an eigenvalue problem. It is found that the theoretical results can predict excellently the fluid.coupled natural frequencies comparing with the finite element analysis result.

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Numerical Study on the 300 MW Shell-type One-stage Entrained Flow Coal Gasifier Apllied with 4-Layer Slagging Model (4-Layer Slagging Model을 적용한 300 MW급 Shell형 1단 분류층 석탄 가스화기 전산수치해석)

  • Hong, Jung-Woo;Jeong, Hyo-Jae;Song, Ji-Hoon;Hwang, Jung-Ho
    • Journal of the Korean Society of Combustion
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    • v.17 no.1
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    • pp.1-11
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    • 2012
  • A slag building simplified model was developed to determine wall heat flux of a Shell 300 MW coal gasifier. In the model 4 layers(particulate, sintered, molten slag, solidified slag) were considered and mass conservation and energy balance were used to obtain each slag layer's thickness and surface temperature. Thermo-chemical and fluid charateristics of the gasifier were studied with and without considering the slag model using commercial CFD code FLUENT. Consideration of the slag layer did not affect syn-gas mole fractions. However, the slag layer caused to increase the exit gas temperature by about 50 K.

Hydrodynamic Analysis of Piston Rings (피스톤 링의 유체 윤활 해석)

  • 김재현;최상민;김경웅
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1998.04a
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    • pp.167-172
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    • 1998
  • An algorithm of Thermal-elastohydrodynamic lubrication analysis for the piston ring is developed. This algorithm contains cavitation boundary condition so it automatically satisfies conservation of mass. 1-D Reynolds equation and 2-D energy equation are solved simultaneously by using Gauss-Jordan method and Newton-Raphson method. Minimum film thickness and friction force are calculated for 1 cycle. There is little difference between the results caculated by isothermal rigid and EHL analysis in entire cycle. In the results of THL, shear heating effect and temperature boundary condition affect the minimum film thickness and friction force prediction. The minimum film thickness and the friction force calculated by THL are lower than those caculated using isothermal assumption.

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Development of a General Purpose Program for 3-D Flows -Implementation of a CLSVOF Interface Tracking Method (3차원 범용 유동해석 프로그램의 개발 - CLSVOF 상경계면 추적법의 적용)

  • Sung M.;Son G.;Hur N.
    • Journal of computational fluids engineering
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    • v.7 no.4
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    • pp.28-34
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    • 2002
  • A general purpose program for computing 3-D flows has been extended for two-phase flows with topologically complex interfaces. The 3-D interfaces are tracked by employing a coupled level set and volume-of-fluid (CLSVOF) method which not only can calculate an interfacial curvature accurately but also can achieve mass conservation well. The program has been tested through the computations of bubbles rising in a liquid. The numerical results are found to compare well with the results reported in the literature.

NUMERICAL ANALYSIS OF AN ARC PLASMA IN A DC ELECTRIC FURNACE

  • Lee Yeon Won;Lee Jong Hoon
    • 한국가시화정보학회:학술대회논문집
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    • 2004.11a
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    • pp.30-33
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    • 2004
  • In order to analyze the heat transfer phenomena in the plasma flames, a mathematical model describing heat and fluid How in an electric arc has been developed and used to predict heat transfer from the arc to the steel bath in a DC Electric Arc Furnace. The arc model takes the separate contributions to the heat transfer from each involved mechanism into account, i.e. radiation, convection and energy transported by electrons. The finite volume method and a SIMPLE algorithm are used for solving the governing MHD equations, i.e., conservation equations of mass, momentum, and energy together with the equations describing a standard $k-\varepsilon$ model for turbulence. The model predicts heat transfer for different currents and arc lengths. Finally these calculation results can be used as a useful insight into plasma phenomena of the industrial-scale electric arc furnace. from these results, it can be concluded that higher arc current and longer arc length give high heat transfer.

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Numerical Study of Droplet Motion in a Microchannel with defferent contact angles (접촉각에 따른 마이크로채널 내에서의 액적 거동에 대한 수치적 연구)

  • Choi, Ji-Young;Son, Gi-Hun
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.656-657
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    • 2008
  • The droplet dynamics in a hydrophilic/hydrophobic microchannel, which is applicable to a typical proton exchange membrane fuel cell (PEMFC), is studied numerically by solving the equations governing conservation of mass and momentum. The liquid-gas interface or droplet shape is determined by a level set method which is modified to treat contact angles. The matching conditions at the interface are accurately imposed by incorporating the ghost fluid approach based on a sharp-interface representation. The effects of contact angle, inlet flow velocity, droplet size and side wall on the droplet motion are investigated parametrically. Based on the numerical results, the droplet dynamics including the sliding and detachment of droplets is found to depend significantly on the contact angle. Also, a droplet removal process is demonstrated on the combination of hydrophilic and hydrophobic surfaces.

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