• 제목/요약/키워드: free energy minimization method

검색결과 15건 처리시간 0.026초

THE PREDICTION OF pH BY GIBBS FREE ENERGY MINIMIZATION IN THE SUMP SOLUTION UNDER LOCA CONDITION OF PWR

  • Yoon, Hyoungju
    • Nuclear Engineering and Technology
    • /
    • 제45권1호
    • /
    • pp.107-114
    • /
    • 2013
  • It is required that the pH of the sump solution should be above 7.0 to retain iodine in a liquid phase and be within the material compatibility constraints under LOCA condition of PWR. The pH of the sump solution can be determined by conventional chemical equilibrium constants or by the minimization of Gibbs free energy. The latter method developed as a computer code called SOLGASMIX-PV is more convenient than the former since various chemical components can be easily treated under LOCA conditions. In this study, SOLGASMIX-PV code was modified to accommodate the acidic and basic materials produced by radiolysis reactions and to calculate the pH of the sump solution. When the computed pH was compared with measured by the ORNL experiment to verify the reliability of the modified code, the error between two values was within 0.3 pH. Finally, two cases of calculation were performed for the SKN 3&4 and UCN 1&2. As results, pH of the sump solution for the SKN 3&4 was between 7.02 and 7.45, and for the UCN 1&2 plant between 8.07 and 9.41. Furthermore, it was found that the radiolysis reactions have insignificant effects on pH because the relative concentrations of HCl, $HNO_3$, and Cs are very low.

A quasistatic crack propagation model allowing for cohesive forces and crack reversibility

  • Philip, Peter
    • Interaction and multiscale mechanics
    • /
    • 제2권1호
    • /
    • pp.31-44
    • /
    • 2009
  • While the classical theory of Griffith is the foundation of modern understanding of brittle fracture, it has a number of significant shortcomings: Griffith theory does not predict crack initiation and path and it suffers from the presence of unphysical stress singularities. In 1998, Francfort and Marigo presented an energy functional minimization method, where the crack (or its absence) as well as its path are part of the problem's solution. The energy functionals act on spaces of functions of bounded variations, where the cracks are related to the discontinuity sets of such functions. The new model presented here uses modified energy functionals to account for molecular interactions in the vicinity of crack tips, resulting in Barenblatt cohesive forces, such that the model becomes free of stress singularities. This is done in a physically consistent way using recently published concepts of Sinclair. Here, for the consistency of the model, it becomes necessary to allow for crack reversibility and to consider local minimizers of the energy functionals. The latter is achieved by introducing different time scales. The model is solved in its global as well as in its local version for a simple one-dimensional example, showing that local minimization is necessary to yield a physically reasonable result.

HVOF 열용사 프로세스에서의 연소특성에 관한 수학적 모델링(I): 연소생성물의 화학조성 및 단열화염온도 (Mathematical Modeling of Combustion Characteristics in HVOF Thermal Spray Processes(I): Chemical Composition of Combustion Products and Adiabatic Flame Temperature)

  • 양영명;김호연
    • 한국연소학회지
    • /
    • 제3권1호
    • /
    • pp.21-29
    • /
    • 1998
  • Mathematical modeling of combustion characteristics in HVOF thermal spray processes was carried out on the basis of equilibrium chemistry. The main objective of this work was the development of a computation code which allows to determine chemical composition of combustion products, adiabatic flame temperature, thermodynamic and transport properties. The free energy minimization method was employed with the descent Newton-Raphson technique for numerical solution of systems of nonlinear thermochemical equations. Adiabatic flame temperature was calculated by using a Newton#s iterative method incorporating the computation module of chemical composition. The performance of this code was verified by comparing computational results with data obtained by ChemKin code and in the literature. Comparisons between the calculated and measured flame temperatures showed a deviation less than 2%. It was observed that adiabatic flame temperature augments with increase in combustion pressure; the influence was significant in the region of low pressure but becomes weaker and weaker with increase in pressure. Relationships of adiabatic flame temperature, dissociation ratio and combustion pressure were also analyzed.

  • PDF

Nonlocal geometrically nonlinear dynamic analysis of nanobeam using a meshless method

  • Ghadiri Rad, Mohammad Hossein;Shahabian, Farzad;Hosseini, Seyed Mahmoud
    • Steel and Composite Structures
    • /
    • 제32권3호
    • /
    • pp.293-304
    • /
    • 2019
  • In the present paper, the element free Galerkin (EFG) method is developed for geometrically nonlinear analysis of deep beams considering small scale effect. To interpret the behavior of structure at the nano scale, the higher-order gradient elasticity nonlocal theory is taken into account. The radial point interpolation method with high order of continuity is used to construct the shape functions. The nonlinear equation of motion is derived using the principle of the minimization of total potential energy based on total Lagrangian approach. The Newmark method with the small time steps is used to solve the time dependent equations. At each time step, the iterative Newton-Raphson technique is applied to minimize the residential forces caused by the nonlinearity of the equations. The effects of nonlocal parameter and aspect ratio on stiffness and dynamic parameters are discussed by numerical examples. This paper furnishes a ground to develop the EFG method for large deformation analysis of structures considering small scale effects.

발전소의 대기오염물질 배출 예측 모델 개발 (Development of Predictive Model for Pollutants Emission from Power Plants)

  • 김민석;김경희;이인범
    • 제어로봇시스템학회논문지
    • /
    • 제4권4호
    • /
    • pp.543-550
    • /
    • 1998
  • From the power plant in a steel plant, environment pollutants such as $SO_x$, $NO_x$, CO and $CO_2$ are emitted by combustion reactions of the fuels which are by-product gases, oil and liquefied natural gas(LNG). To reduce the amounts of the pollutants, it is important to build a predictive model for the emission of the pollutants. In this paper, model that predict the amounts of generated pollutants for the used fuel is developed by using Gibbs free energy minimization method[1] with the temperature correction technique. For some data set, the calculation results from this model are compared with the real emission amounts of $SO_x$, $NO_x$, and the result of the calculation by both ASPEN PLUS which is a commercial simulation software. This model shows good results and can be applied to other power plants.

  • PDF

화학평형을 이용한 가스화기 모델링에 관한 연구 (A study on the Gasifier Modeling using a Chemical Equilibrium)

  • 정근모;임태훈;오인환;박명호
    • 에너지공학
    • /
    • 제2권3호
    • /
    • pp.276-284
    • /
    • 1993
  • 분류층 가스화기를 대상으로하여 석탄가스화 복합발전 시스템을 위한 가스화반응 모델링을 수행하였다. 가스화기 내에서의 가스화반응은 화학평형상태에 있다고 가정하여 Gibbs 자유에너지 최소화법을 이용하였다. 물질수지와 열수지를 동시에 고려한 모델링 결과와 실제 가스화기 실험자료를 비교하여 모델의 신뢰성을 확인하였다. 이를 토대로 가스화기에 공급되는 산화제의 양이 평형조성에 미치는 영향과 가스화기의 온도, 그리고 석탄종류가 가스화반응에 미치는 영향에 대해 알아보았다.

  • PDF

Current Carrying Iron Whiskers: A New Magnetic Configuration

  • Lee, J.G.;Arrott, A.S.
    • 한국자기학회지
    • /
    • 제5권5호
    • /
    • pp.372-375
    • /
    • 1995
  • The magnetization pattern of the central cross section deduced from the ac susceptibility measurement is described with an analytical function. The function is based on a charge-free configuration. The thickness of the $^{\circ}$ wall lying in a (100) plane and the wall energy are calculated analytically. Total energy of the domain structure has been minimized with Ritz's method. As the result of the minimization, the energy density of the $^{\circ}$ wall lying in a (100) plane is $0.58\;erg/cm^{2}$ and the one for a (110) plane is $1.18\;erg/cm^{2}$. Thicknesses of these walls are calculated numerically. Also, the calculation indicates there is a small central domain at the cross section without applied current. With the ac susceptibility measurement the existence of the domain without current can be identified.

  • PDF

제철소내 발전소에서의 대기오염 물질 배출 패턴 모델링 (Development of predictive model for pollutants emission from the power plant in a steel plant)

  • 김민석;이창형;양대륙;장근수
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
    • /
    • pp.601-606
    • /
    • 1993
  • From the power plants in a steel plant, environment pollutants such as SOx, NOx, CO are emitted by the combustion reaction between the fuels those are by-product gases and oil. To reduce the amounts of the pollutants, it must be important that build the predictive models for the emission of the pollutants. In this paper, the model that predict the amount of future fuel consumption and the model that predict the amount of generated pollutants for the used fuel amounts is developed by using Gibb's free energy minimization method with the temperature correction techniques and neural network back propagation method. For some data set, the calculation results from this models are compared with the real emission amounts of SOx, NOx and result of the calculation by the ASPEN plus which is a commercial software. The result from this model is better than the result by ASPEN plus for this problem.

  • PDF

다중 해상도 레벨 세트 방식을 이용한 기하 활성 모델 (A Geometric Active Contour Model Using Multi Resolution Level Set Methods)

  • 김성곤;김두영
    • 한국정보처리학회논문지
    • /
    • 제6권10호
    • /
    • pp.2809-2815
    • /
    • 1999
  • Level set, and active contour(snakes) models are extensively used for image segmentation or shape extraction in computer vision. Snakes utilize the energy minimization concepts, and level set is based on the curve evolution in order to extract contours from image data. In general, these two models have their own drawbacks. For instance, snake acts pooly unless it is placed close to the wanted shape boundary, and it has difficult problem when image has multiple objects to be extracted. But, level set method is free of initial curve position problem, and has ability to handle topology of multiple objects. Nevertheless, level set method requires much more calculation time compared to snake model. In this paper, we use good points of two described models and also apply multi resolution algorithm in order to speed up the process without decreasing the performance of the shape extraction.

  • PDF

조영 전후의 폐 CT 영상 정합을 위한 특징 기반의 비강체 정합 기법 (Feature-based Non-rigid Registration between Pre- and Post-Contrast Lung CT Images)

  • 이현준;홍영택;심학준;권동진;윤일동;이상욱;김남국;서준범
    • 대한의용생체공학회:의공학회지
    • /
    • 제32권3호
    • /
    • pp.237-244
    • /
    • 2011
  • In this paper, a feature-based registration technique is proposed for pre-contrast and post-contrast lung CT images. It utilizes three dimensional(3-D) features with their descriptors and estimates feature correspondences by nearest neighborhood matching in the feature space. We design a transformation model between the input image pairs using a free form deformation(FFD) which is based on B-splines. Registration is achieved by minimizing an energy function incorporating the smoothness of FFD and the correspondence information through a non-linear gradient conjugate method. To deal with outliers in feature matching, our energy model integrates a robust estimator which discards outliers effectively by iteratively reducing a radius of confidence in the minimization process. Performance evaluation was carried out in terms of accuracy and efficiency using seven pairs of lung CT images of clinical practice. For a quantitative assessment, a radiologist specialized in thorax manually placed landmarks on each CT image pair. In comparative evaluation to a conventional feature-based registration method, our algorithm showed improved performances in both accuracy and efficiency.