• 제목/요약/키워드: Gradient Diffusion Model

검색결과 71건 처리시간 0.024초

새만금호 3차원 수리.수질모델(EFDC)의 수치격자 민감도 분석 (A Sensitivity Analysis on Numerical Grid Size of a Three-Dimensional Hydrodynamic and Water Quality Model (EFDC) for the Saemangeum Reservoir)

  • 전지혜;정세웅
    • 한국물환경학회지
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    • 제28권1호
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    • pp.26-37
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    • 2012
  • Multi-dimensional hydrodynamic and water quality models are widely used to simulate the physical and biogeochemical processes in the surface water systems such as reservoirs and estuaries. Most of the models have adopted the Eulerian grid modeling framework, mainly because it can reasonably simulate physical dynamics and chemical species concentrations throughout the entire model domain. Determining the optimum grid cell size is important when using the Eulerian grid-based three-dimensional water quality models because the characteristics of species are assumed uniform in each of the grid cells and chemical species are represented by concentration (mass per volume). The objective of this study was to examine the effect of grid-size of a three dimensional hydrodynamic and water quality model (EFDC) on hydrodynamics and mass transport in the Saemangeum Reservoir. Three grid resolutions, respectively representing coarse (CG), medium (MG), and fine (FG) grid cell sizes, were used for a sensitivity analysis. The simulation results of numerical tracer showed that the grid resolution affects on the flow path, mass transport, and mixing zone of upstream inflow, and results in a bias of temporal and spatial distribution of the tracer. With the CG, in particular, the model overestimates diffusion in the mixing zone, and fails to identify the gradient of concentrations between the inflow and the ambient water.

암모니아-물 흡수식 시스템에서 단열정류기의 물질 전달 (Mass transfer in adiabatic rectifier of ammonia-water absorption system)

  • 김병주
    • 설비공학논문집
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    • 제11권3호
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    • pp.414-421
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    • 1999
  • Falling film rectification involves simultaneous heat and mass transfer between vapor and liquid interface. In the present work, the adiabatic rectification process of ammonia-water vapor on the vertical plate was investigated. The continuity, momentum, energy and diffusion equations for the solution film and vapor mixture were formulated in integral forms and solved numerically. The model could predict the film thickness, the pressure gradient, and the mass transfer rate. The effects of Reynolds number and ammonia concentration of solution and vapor mixture, rectifier length, and the enhancement of mass transfer in each phases were investigated. The stripping of water in vapor mixture occurred new the entrance of ammonia solution, which imposed the proper size of an adiabatic rectifier. Rectifier efficiency increased as film Reynolds number increased and as vapor mixture Reynolds number decreased. The improvement of rectifier efficiency was significant with the enhancement of mass transfer in falling film.

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Mass Transfer in an Adiabatic Rectifier of Ammonia-Water Absorption System

  • Kim, Byong-Joo
    • International Journal of Air-Conditioning and Refrigeration
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    • 제8권2호
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    • pp.69-79
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    • 2000
  • Falling film rectification involves simultaneous heat and mass transfer between vapor and solution film. In the present work, the adiabatic rectification process of ammonia-water vapor by the falling solution film on the vertical plate was investigated. The continuity momentum, energy and diffusion equations for the solution film and the vapor mixture were formulated in integral forms and solved numerically, The model could predict the film thickness, the pressure gradient, and the mass transfer rate. The effects of Reynolds number and ammonia concentration of solution and vapor mixture, rectifier length, and the enhancement of mass transfer coefficient in each phases were investigated. The stripping of water in vapor mixture occurred near the entrance of ammonia solution, which imposed the proper size of an adiabatic rectifier. Rectifier efficiency increased as film Reynolds number increased and as vapor mixture Reynolds number decreased. The improvement of rectifier efficiency was significant with the enhancement of mass transfer coefficient in falling film.

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Coupled Heat and Mass Transfer in Absorption of Water Vapor into LiBr-$H_2O$ Solution Flowing on Finned Inclined Surfaces

  • Seo, Taebeom;Cho, Eunjun
    • Journal of Mechanical Science and Technology
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    • 제18권7호
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    • pp.1140-1149
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    • 2004
  • The absorption characteristics of water vapor into a LiBr-H$_2$O solution flowing down on finned inclined surfaces are numerically investigated in order to study the absorbing performances of different surface shapes of finned tubes as an absorber element. A three-dimensional numerical model is developed. The momentum, energy, and diffusion equations are solved simultaneously using a finite difference method. In order to obtain the temperature and concentration distributions, the Runge-Kutta and the Successive over relaxation methods are used. The flat, circular, elliptic, and parabolic shapes of the tube surfaces are considered in order to find the optimal surface shapes for absorption. In addition, the effects of the fin intervals and Reynolds numbers are studied. The results show that the absorption mainly happens near the fin tip due to the temperature and concentration gradient, and the absorbing performance of the parabolic surface is better than those of the other surfaces.

에탄올 수용액의 Pervaporation에서의 투과거동 (A Permeation Behavior for the Pervaporation of Aqueous Ethanol Solution)

  • 배성렬;이한선;황성민;김희택;히데히로 구마자와
    • 공업화학
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    • 제5권1호
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    • pp.127-138
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    • 1994
  • CTA(cellulose triacetate) 막을 이용한 물과 에탄올의 투과증발(pervaporation) 막분리에서 수착과 투과실험으로부터 용해-확산 투과기구modeling 및 그 함수형과 parameters에 대한 해석을 시도하였다. 순성분들의 수착 data를 사용하여 Flory-Huggins 식으로 계산한 3 성분계(에탄올/물/CTA) 수착평형 조성을 추산하여 실측치와 비교하였다. 막 내부의 조성과 액상의 평형 조성간에 열역학적 평형 관계식을 적용하기 위해 막 내 겉보기 활동도를 Wilson식과 Van Laar식으로 상관시켰다. 투과속도식은 한 성분의 투과속도가 그 성분의 막 내 농도구배에 비례하며, 또한 확산계수의 농도 의존성이 에탄올 농도만의 지수함수라고 가정하여 물과 에탄을 투과속도를 계산하였으며 이는 실측치와 잘 일치하였다. 한 성분의 투과속도와 수착량이 다른 성분에 비해 현저히 작은 경우에는 대류항을 무시할 수 없음을 알았고, 온도가 높고, 투과측 압력이 낮을수록 투과속도와 투과선택도가 증가하였다.

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비정수압 자유수면 모형의 3차원 점성 흐름에의 적용 (Application of Non-hydrostatic Free Surface Model for Three-Dimensional Viscous Flows)

  • 최두용
    • 한국수자원학회논문집
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    • 제45권4호
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    • pp.349-360
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    • 2012
  • 본 연구에서는 3차원 점성 흐름에 적용될 수 있는 비정수압 자유수면 모형을 수평방향 직교 곡선좌표계에서 개발하였다. 개발된 수치모형은 엇갈린 격자를 사용함으로써 발생되는 자유수면에서의 경계조건 종결 문제를 수면층 방정식을 도입하여 해결하였으며, 난류의 유동 해석을 위한 폐합식으로 등방성의 k-${\varepsilon}$ 난류모형을 이용하였다. 본 연구에서 운동량방정식은 이송-확산항만으로 중간단계의 유속을 예측하고, 압력 및 중력을 포함하는 생성항과 연속방정식을 결합하여 다음 시간단계의 유동장을 결정하는 계산 단계 분리법을 이용하였다. 수치모형의 적용성 평가를 위하여 폐쇄된 2차원 수조에서의 취송류, 급경사를 가지는 2차원 수로에서의 흐름, 원심력에 의한 이차류 흐름특성 분석을 위한 3차원 급변 만곡류에 대한 모의를 실시하였다. 수치모의 예측치는 수리모형 실험값과 수위, 유속, 난류특성 등에서 일치하는 양상을 보이는 것이 확인되었다.

조(粗)·세립상(細粒床)의 연속구조를 갖는 개수로 흐름에서 오염물질 수송에 대한 이차흐름 영향 분석 (Impact of Secondary Currents on Solute Transport in Open-Channel Flows over Smooth-Rough Bed Strips)

  • 강형식;최성욱;김규호
    • 대한토목학회논문집
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    • 제29권1B호
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    • pp.73-81
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    • 2009
  • 본 연구에서는 개수로 흐름에서 오염물질 이동 현상에 대한 이차흐름의 영향을 분석하였다. 운동량 방정식과 스칼라 수송 방정식에서의 난류 폐합을 위해 레이놀즈응력 모형 및 GGDH 모형을 사용하였다. 개발된 모형을 이용하여 조 세립상의 횡방향 연속구조를 갖는 개수로 흐름에서의 오염물질 이동에 대한 이차흐름의 영향을 분석하였다. 그 결과, 이차흐름의 영향으로 인해 최대 농도 값의 발생 위치가 이동하는 것으로 나타났으며, 농도 분포 역시 정규 분포에서 거리에 따라 점차 왜곡 되는 것으로 확인되었다. 또한, 이차흐름의 영향으로 자유수면 근처에서는 매끄러운 하상에 비해 거친 하상에서의 오염물질 농도가 더 크게 발생되었으며, 스칼라-흐름률을 계산한 결과, 오염물질의 수직방향 확산은 매끄러운 하상에 비해 거친 하상에서 더 빨리 진행되는 것으로 확인되었다. 한편, 농도 분포 변화에 대한 이차흐름 및 스칼라-흐름률의 영향을 살펴보기 위하여 스칼라 수송률 분석을 수행하였다.

리브 간격 변화에 따른 열.유동 수치해석 및 압력 저하 특성 (Numerical Analysis of Thermal and Flow affected by the variation of rib interval and Pressure drop Characteristics)

  • 정한식;이경환;신용한;최순호;정효민
    • Journal of Advanced Marine Engineering and Technology
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    • 제35권5호
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    • pp.616-624
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    • 2011
  • 본 연구에서는 사각채널내에 주유속 방향에 가로지르게 배치된 반원 리브의 난류 유동에 대한 유동 특성과 열전달 증대에 관해 수치해석적으로 살펴보았다. 사각채널의 종횡비는 5이고, 수력직경 대비 리브 높이비는 0.07, 사각채널 높이 대비 리브 높이비는 0.117로서 리브 높이 대비 리브 피치비가 8~14인 리브를 주기적으로 배열하여 연구를 수행하였다. 난류 모델의 선정은 실제 현상과 근접한 벽 근처 유동 특성과 열전달을 위해 SST k-${\omega}$ 난류 모델과 v2-f 난류 모델을 이용하였다. 수치해석의 결과는 실험에 의 해 관찰된 난류 유동 특성, 열전달 및 마찰계수의 결과를 잘 예측함을 보여준다. 본 결과에서 난류 운동 에너지가 재순환류 영역의 확산과 밀접한 관련이 있음을 알 수 있고 v2-f 난류 모델이 SST k-${\omega}$ 난류 모델에 비해 실험결과를 더 잘 예측하였다.

상압가염형 폴리에스테르 섬유의 물성과 염색성 (The physical properties and the dyeability of the easily dyeable polyester yarn under atmospheric pressure)

  • 김태경;윤석한;신상엽;임용진;조규민
    • 한국염색가공학회지
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    • 제13권6호
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    • pp.33-33
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    • 2001
  • The physical properties and the dyeability of the easily dyeable polyester yarn(EDY) were investigated and compared with those of regular polyester (REG-PET). The EDY, copolymerized with small amount of polyethylene glycol(PEG), showed higher intensity of aliphatic CH peak in IR spectrum, lower density and lower compactness than those of the REG-PET from the analysis of IR, density gradient column and XRD respectively. In the physical properties, the EDY has lowers $T_g,\;T_m$, specific stress and initial modulus, and also has higher strain than that of the REG-PET. The EDY can be dyed under atmospheric pressure and its dyeing rate was faster than REG-PET due to low $T_d$, and this seems to be caused by the increased flexibility of Polymer chain in amorphous region of the EDY due to the copolymerization of PEG.ns being within the experimental error, the average values of lifetim. $\tau$(t) are taken for further calculations. Rate constants such as Stern-Volmer quenching constants K$_{sv}$, quenching rate parameters k$_q$ and k''$_q$, static quenching constant V and kinetic distance r are determined using the modified Stern-Volmer eq.tion and sphere of action static quenching model. In order to see whether the reactions are diffusion limited, equations k$_q$ = e$^{-Eq/RT}$ and k''$_q$ = e$^{-Eq/RT}$ are used to determine the values of E$_q$ and E''$_q$, the activati. energies for collisional quenching and the values of E$_q$ are 14.53, 17.28 and 16.20 kJ mole$^{-1}$ for MPNO1, MPNO2 and 2-PI respectively and the values of E''$_q$ are 14.62 and 17.73 for MPNO1 and MPNO2 respectively. From the magnitudes of various quantities it has.een concluded that the reactions are diffusion limited and the observed positive deviations in the S-V plot are due to static and dynamic quenching.

타원-혼합 2차모멘트 모형에 의한 강제와 자연대류가 복합된 수직 평판 난류유동의 예측 (Prediction of Combined Forced and Natural Turbulent Convection in a Vertical Plane Channel with an Elliptic-Blending Second Moment Closure)

  • 신종근;안정수;최영돈
    • 대한기계학회논문집B
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    • 제29권11호
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    • pp.1265-1276
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    • 2005
  • The elliptic conceptual second moment models for turbulent heat fluxes, which are proposed on the basis of elliptic-blending and elliptic-relaxation equations, are applied to calculate the combined forced and natural turbulent convection in a vertical plane channel. The models satisfy the near-wall balance between viscous diffusion, viscous dissipation and temperature-pressure gradient correlation, and also have the characteristics of approaching its respective conventional high Reynolds number model far away from the wall. Also the models are closely linked to the elliptic blending model which is used for the prediction of Reynolds stress. In order to calibrate the heat flux models, firstly, the distributions of mean temperature and scala flux in fully developed channel flow with constant wall difference temperature are solved by the present models. The buoyancy effect on the turbulent characteristics including the mean velocity and temperature, the Reynolds stress tensor, and the turbulent heat flux vector are examined. In the opposing flow, the turbulent transport is greatly enhanced with both the Reynolds stresses and the turbulent heat fluxes being remarkably increased; whereas, in the aiding flow, the opposite change is observed. The results of prediction are directly compared to the DNS to assess the performance of the model predictions and show that the behaviors of the turbulent heat transfer in the whole flow region are well captured by the present models.