• 제목/요약/키워드: equilibrium condition

검색결과 682건 처리시간 0.026초

박막내 결정립 배열의 열적 불안정성1)-응집 모델 (Stability of the Grain Configurations of Thin Films-a Model for Agglomeration)

  • 나종주;박중근
    • 연구논문집
    • /
    • 통권27호
    • /
    • pp.183-200
    • /
    • 1997
  • We have calculated the energy of three distinct grain configurations, namely completely connected, partially connected and unconnected configurations, evolving during a spheroidization of polycrystalline thin film by extending a geometrical model due to Miller et al. to the case of spheroidization at both the surface and film-substrate interface. "Stabilitl" diagram defining a stable region of each grain configuration has been established in terms of the ratio of grain size to film thickness vs. equilibrium wetting or dihedral angles at various interface energy conditions. The occurrence of spheroidization at the film-substrate interface significantly enlarges the stable region of unconnected grain configuration thereby greatly facilitating the occurrence of agglomeration. Complete separation of grain boundary is increasingly difficult with a reduction of equilibrium wetting angle. The condition for the occurrence of agglomeration differs depending on the equilibrium wetting or dihedral angles. The agglomeration occurs, at low equilibrium angles, via partially connected configuration containing stable holes centered at grain boundary vertices, whereas it occurs directly via completely connected configuration at large equilibrium angles except for the case having small surface and/or film-substrate interface energy. The initiation condition of agglomeration is defined by the equilibrium boundary condition between the partially connected and unconnected configurations for the former case, whereas it can, for the latter case, largely deviate from the equilibrium boundary condition between the completely connected and unconnected configurations because of the presence of a finite energy barrier to overcome to reach the unconnected grain configuration.

  • PDF

수정된 내부 에너지 비평형 1차 외삽 경계조건을 적용한 열 유동 격자 볼츠만 모델에 관한 수치적 연구 (Numerical Simulation of Thermal Lattice Boltzmann Model with a Modified In-Ternal Energy Non-Equilibrium First-Order Extrapolation Boundary Condition)

  • 정해권;김래성;이현구;이재룡;하만영
    • 대한기계학회논문집B
    • /
    • 제31권7호
    • /
    • pp.620-627
    • /
    • 2007
  • In this paper, we adapt a modified internal energy non-equilibrium first-order extrapolation thermal boundary condition to the thermal lattice Boltzmann model (TLBM). This model is the double populations approach to simulate hydrodynamic and thermal fields. The bounce-back boundary condition which is a traditional boundary condition of lattice Boltzmann method has only a first order in numerical accuracy at the boundary and numerical instability. A non-equilibrium first-order extrapolation boundary condition has been verified to be of better numerical stability than the bounce-back boundary condition and this boundary condition is proved to be of second-order accuracy for the flat boundaries. The two-dimensional natural convection flow in a square cavity with Pr=0.71 and various Rayleigh numbers are simulated. The results are found to be in good agreement with those of previous studies.

도매전력시장에서 N-발전사업자의 보수행렬을 이용한 꾸르노 모델의 내쉬균형점 도출을 위한 방법론 (Approach for Evaluating the Nash Equilibrium of Cournot Game Model for N-Gencos by Using Payoff Matrix in Wholesale Electricity Market)

  • 박종배;임정열;이기송;신중린
    • 대한전기학회논문지:전력기술부문A
    • /
    • 제54권2호
    • /
    • pp.97-106
    • /
    • 2005
  • This paper presents a method for evaluating the nash equilibrium of the Cournot model for N-Gencos in wholesale electricity market. In wholesale electricity market, the strategies of N-Gencos can be applied to the game model under the conditions, which the Gencos determine their strategies to maximize their benefit. Generally, the Lemke algorithm has known as the approach to evaluate the mixed nash equilibrium in the only two-player game model. In this paper, we have developed the necessary condition for obtaining the mixed nash equilibrium of N-player by using the Lemke algorithms. However, it is difficult to find the mixed nash equilibrium of two more players by using the analytic method since those have the nonlinear characteristics. To overcome the above problem, we have formulated the object function satisfied with the proposed necessary conditions for N-player nash equilibrium and applied the modified particle swarm optimization (PSO) method to obtain the equilibrium for N-player. To present the effectiveness the proposed necessary condition and the evaluation approach, this paper has shown the results of equilibrium of sample system and the cournot game model for 3-players.

다계층 가변수요 교통망 균형 (Multi-class Variable Demand Network Equilibrium)

  • 김병관;임용택;임강원;이영인
    • 대한교통학회지
    • /
    • 제26권3호
    • /
    • pp.155-167
    • /
    • 2008
  • 본 연구에서는 다계층 가변수요 사용자 균형과 체계최적 교통망 균형 조건을 조사하고 그에 따른 해석적 알고리즘을 구축한다. 이러한 교통망 균형 조건을 조사함에 있어서 특별히 다음과 같은 가정을 기반으로 연구를 수행한다. 통행자들의 이질적(heterogeneous)인 특성을 반영하기 위하여 통행자 계층별로 이산적으로 구분된 시간가치를 갖고 있으며 통행비용에 따라 각 계층의 통행수요가 변화(variable demand)하는 상황을 고려한다. 본 연구에서는 우선 다계층 가변수요에서 도로 이용자들이 통행비용을 인식하는 단위가 시간 또는 화폐에 따라 도로 사용자의 통행패턴이 달라지는가를 조사한다. 즉, 통행비용을 측정하는 단위에 따라 사용자 균형조건이 달라지는가를 알아본다. 그리고 다계층 가변수요에서 통행비용이 시간 또는 화폐단위로 측정될 때의 체계최적 조건을 조사하고 어떤 특성을 갖는가를 조사한다. 최종적으로 이렇게 조사된 다계층 가변수요 사용자 균형조건과 체계최적조건을 이용하여 각 각의 해석적 통행배정 알고리즘을 구축한다.

인도페놀법을 이용한 수용액 중 암모니아 정량에 관한 연구 : 평형법, 반응속도법, 흐름주입분석법의 비교와 평가 (Determination of Aqueous Ammonia with Indophenol Method : Comparision and Evaluation for the Reaction-Rate, Equilibrium and Flow-Injection Analysis Methods)

  • 정형근;김범식
    • 한국환경과학회지
    • /
    • 제4권1호
    • /
    • pp.91-103
    • /
    • 1995
  • The reaction rate, equilibrium, and flow injection analysis methods were fundamentally evaluated for the determination of aqueous ammonia. The selected indophenol blue method was based on the formation of indophenol blue in which ammonium ion reacted with hypochlorite and phenol in alkaline solution. In the optimized reaction condition, the reaction followed 1st order reaction kinetics and the final product was stable. The absorbance measurements before and after the equilibrium were utilized for the reaction rate and equilibrium methods. The reaction rate methods, based on the relative analytical signals for the possibility of eliminating interferents, were shown to have good linear calibration curves but the detection limit and the calibration sensitivity were poorer than those in the equilibrium method. The detection limits were 32-49 pub and 24 pub for the reaction rate and equilibrium methods, respectively In the flow injection analysis, the absorbance was measured before the equilibrium reached and thus resulted in 30% reduction of calibration sensitivity. However, the detection limit was 11 ppb, indicating that the peak-to-peak noise for the blank was remarkably improved. Compared to the manual methods, the optimized experimental condition in a closed reaction system reduced the blank absorbance and the inclusion of ammonia from the atmosphere was prevented. In addition, highly reproducible mixing of sample and reagents and analytical data extracted from continuous recording showed excellent reproducibility.

  • PDF

THE SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING MONOTONE BILEVEL EQUILIBRIUM PROBLEMS USING BREGMAN DISTANCE

  • Roushanak Lotfikar;Gholamreza Zamani Eskandani;Jong Kyu Kim
    • Nonlinear Functional Analysis and Applications
    • /
    • 제28권2호
    • /
    • pp.337-363
    • /
    • 2023
  • In this paper, we propose a new subgradient extragradient algorithm for finding a solution of monotone bilevel equilibrium problem in reflexive Banach spaces. The strong convergence of the algorithm is established under monotone assumptions of the cost bifunctions with Bregman Lipschitz-type continuous condition. Finally, a numerical experiments is reported to illustrate the efficiency of the proposed algorithm.

OSCILLATION AND ATTRACTIVITY OF DISCRETE NONLINEAR DELAY POPULATION MODEL

  • Saker, S.H.
    • Journal of applied mathematics & informatics
    • /
    • 제25권1_2호
    • /
    • pp.363-374
    • /
    • 2007
  • In this paper, we consider the discrete nonlinear delay model which describe the control of a single population of cells. We establish a sufficient condition for oscillation of all positive solutions about the positive equilibrium point and give a sufficient condition for the global attractivity of the equilibrium point. The oscillation condition guarantees the prevalence of the population about the positive steady sate and the global attractivity condition guarantees the nonexistence of dynamical diseases on the population.

Study on the Equilibrium Point of Heat and Mass Transfer between Liquid Desiccant and Humid Air with in the Solar Air Conditioning System

  • Sukmaji, I.C.;Rahmanto, H.;Agung, B.;Choi, K.H.;Kim, J.R.
    • 한국태양에너지학회:학술대회논문집
    • /
    • 한국태양에너지학회 2009년도 추계학술발표대회 논문집
    • /
    • pp.161-167
    • /
    • 2009
  • The liquid solar air conditioning system is introduced as an alternative solution to control air condition and to save electrical energy consumption. The heat and mass transfer performances of dehumidifier/regenerator in liquid solar air conditioning system are influenced by air and desiccant condition. The application of this system, the thermal energy from the sun and inlet air are unable to control, but operation parameter of other components such as pump, fan and sensible cooling unit are able to control. The equilibrium point of heat and mass transfer are the liquid desiccant and inlet air conditions, where, the heat and mass are not transferred between the liquid desiccant and vapor air. By knowing equilibrium point of heat and mass transfer, the suitable optimal desiccant conditions for certain air condition are funded. This present experiment study is investigated the equilibrium point heat and mass transfer in various air and desiccant temperature. The benefit of equilibrium point heat and mass transfer will be helpful in choose and design proper component to optimize electrical energy consumption.

  • PDF

비평형 1 차 외삽 경계조건을 이용한 격자 볼츠만 법의 수치적 안정성 및 정확도에 관한 연구 (A Study on the Numerical Stability and Accuracy of Lattice Boltzmann Method with Non-equilibrium first order extrapolation boundary condition)

  • 정해권;김래성;이현구;하만영
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2007년도 춘계학술대회B
    • /
    • pp.2684-2689
    • /
    • 2007
  • Non-equilibrium first order extrapolation boundary condition proposed by Guo et $al.^{(9)}$ proposed has a good application for complex geometries, a second order accuracy and a treatment on non-slip wall boundary condition easily. However it has a lack of the numerical stability from high Reynolds number. Guo et $al.^{(9)}$ substituted the density value of adjacent nodes for the density of boundary nodes. This procedure causes the numerical instability on the boundary. In this paper, we derived a procedure of density extrapolation and compared to previous results.

  • PDF