• 제목/요약/키워드: equilibrium equation

검색결과 839건 처리시간 0.045초

연속이온교환평형 칼럼 모델 개발 (Development of Column ion Exchange Modeling with Successive Ion Exchange Equilibrium)

  • 이인형
    • 한국산학기술학회논문지
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    • 제3권2호
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    • pp.141-145
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    • 2002
  • 이온교환수지탑으로 유입된 이온은 연속적인 이온교환 평형을 이루면서 수지층을 통과한다는 가정하에 질량작용법칙과 몰 균형식을 조합하여 연속이은교환평형 칼럼모델을 개발하였다. 연속이온교환평형 칼럼모델을 이용하여 원자력발전소 복수탈염설비 탈염기의 성능을 평가한 결과, Na/sup +/및 Cl/sup -/누출 농도는 수지의 재생효율에 따라 다르며, 특정이온의 유입수 및 유출수에서 농도 비율은 용액 및 수지의 상태에 따라 달라짐을 확인하였다. 본 모델은 수지농도를 보정하여 국부 불완전 평형을 고려할 수 있고, 다성분 존재하의 경쟁적 이온교환을 묘사할 수 있는 장점을 가지고 있다.

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Liquid-Liquid Equilibrium and Physical Properties of Aqueous Mixtures of Poly (Ethylene Glycol) 3000 with Tri-Potassium Citrate at Different pH: Experiment, Correlation and Thermodynamic Modeling

  • Ketabi, Mahnam;Pirdashti, Mohsen;Mobalegholeslam, Poorya
    • 대한화학회지
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    • 제63권1호
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    • pp.12-23
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    • 2019
  • The new experimental data of liquid-liquid equilibrium (LLE) of aqueous two-phase system (ATPS) consisting of poly(ethylene glycol) 3000 + tri-potassium citrate at different pH were presented. It was found that an increase in pH resulted in the expansion of the two-phase region. The TLL and STL increased with increasing the pH values. The Merchuk equation can be appropriately employed to correlate the binodal curves and also the tie-line compositions were adjusted to both the Othmer-Tobias and Bancroft equations. In order to calculate the compositions of the phase and the ends of the tie-lines, density and refractive indices as two physical properties were used. Finally, the extended UNIQUAC, UNIFAC, Virial-(Mobalegholeslam & Bakhshi) and modified UNIQUAC-FV were used to measure the phase equilibria at different pH. The results of the models suggested that it can be used quite well to correlate the LLE in an aqueous solution of polymer-salt.

Linear Form Finding Approach for Regular and Irregular Single Layer Prism Tensegrity

  • Moghaddas, Mohammad;Choong, Kok Keong;Kim, Jae-Yeol;Kang, Joo-Won
    • 국제강구조저널
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    • 제18권5호
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    • pp.1654-1665
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    • 2018
  • In an irregular prism tensegrity, the number of force equilibrium equations is less than the number of unknown parameters of nodal coordinates and member force ratios. As a result, the form-finding process normally becomes nonlinear with additional conditions or needs to be carried out with the use of iterative procedures. For cases of irregular prism tensegrity which involves large number of members, it was found that previously proposed methods of form-finding are not practical. Moreover, there is a need for a form-finding approach which is able to cater to different requirements on final configuration. In this paper, the length relation condition is introduced to be used in combination with the force equilibrium equation. With the combined use of length relation and equilibrium conditions, a linear form-finding approach for irregular prism tensegrity was successfully formulated and developed. An easy-to-use interactive form-finding tool has been developed which can be used for form-finding of irregular prism tensegrities with large number of elements as well as under diverse specific requirements on their configurations.

Crabbing Motion Testing of Waterjet-Powered Ships Using Stern Thrusters

  • Joopil Lee;Seung-Ho Ham
    • 한국해양공학회지
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    • 제38권1호
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    • pp.10-17
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    • 2024
  • This study assessed the potential for crabbing motion in waterjet ships by exclusively employing stern thrusters. The theoretical considerations were validated through practical sea trials on the naval vessel PKG (Patrol Killer Guided missile) equipped with three stern thrusters. The control forces were calculated using the force equilibrium equation. The results showed that the hull exhibited rotations and lateral movements under wind influence. The port tail exhibited a leftward turning tendency due to the wind. This phenomenon arises from the dominance of the rotational force generated by the stern thruster over the lateral force exerted by the hull, making it challenging to maintain force equilibrium. In the sea trial, the hull rotated by 10° and moved 10.8 m laterally, with a longitudinal movement of 0.26 m. Remarkably, the lateral movement surpassed the longitudinal displacement, indicating the success of the trial. The substantial lateral travel distance provided tangible evidence that the crabbing motion of the ship is achievable using only stern thrusters. This study contributes valuable insights into enhancing the maneuverability of waterjet ships, offering practical applications for naval operations and maritime activities.

하이드레이트 펠릿의 비평형 분해과정 수치해석 (NUMERICAL ANALYSIS OF NON-EQUILIBRIUM HYDRATE PELLET DECOMPOSITION)

  • 강정호;남진현;김찬중;송명호
    • 한국전산유체공학회지
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    • 제13권4호
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    • pp.50-57
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    • 2008
  • The prediction of hydrate pellet decomposition characteristics is required to design the regasification process of GTS (gas to solid) technology, which is considered as an economic alternative for LNG technology to transport natural gas produced from small and stranded gas wells. Mathematical model based on the conservation principles, the phase equilibrium relation, equation of gas state and phase change kinetics was set up and numerical solution procedure employing volume averaged fixed grid formulation and extended enthalpy method are implemented. Initially, porous methane hydrate pellet is at uniform temperature and pressure within hydrate stable region. The pressure starts to decrease with a fixed rate down to the final pressure and is kept constant afterwards while the bounding surface of pellet is heated by convection. The predicted convective heat and mass transfer accompanied by the decomposed gas flow through hydrate/ice solid matrix is reported focused on the comparison of spherical and cylindrical pellets having the same effective radius.

탄성체를 포함하는 마운트계의 동역학 해석 프로그램 개발 (Development of a Computer Program for the Dynamic Analysis of Mount System with Flexible Bodies)

  • 이병훈;김경우;정우진
    • 대한기계학회논문집A
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    • 제24권1호
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    • pp.94-102
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    • 2000
  • A computer program for three dimensional dynamic analysis of a mount system composed of rigid or flexible bodies and mount elements is developed. Cartesian coordinates and Euler parameters are used to specify the positions and orientations of the bodies. The equations of motion are formulated using Langrange equation and Langrange multiplier technique. The developed program includes routine, for inclined mount elements, several kinds of driving constrains, and external forces. The Static equilibrium analysis routine is also developed using iterative method.

$SF_6$ 가스의 전자에너지 분포함수에 관한 연구 (A study on the electron energy diffusion function of the sulphur hexaflouride)

  • 김상남;유회영;서상현;박동화;하성철
    • 한국조명전기설비학회:학술대회논문집
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    • 한국조명전기설비학회 1996년도 추계학술발표회논문집
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    • pp.134-139
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    • 1996
  • The electron energy distributions function were analysed in sulphur hexaflouride at E/N : 500~800(Td) for a case of non-equilibrium ion in the mean electron energy. This paper describes the electron transport characteristics in SF$_{6}$ gas calculated for range of E/N values from 150~800(Td) by the Monte Carlo simulation and Boltzmann equation method using a set of electron collision cross sections determined by the authors and the values of electron swarm parameters. The results gained that the value of an electron swarm parameter such as the electron drift velocity, the electron ionization or attachment coefficients, longitudinal and transverse diffusion coefficients agree with the experimental and theoretical for a range of E/N. The properties of electron avalanches in an electron energy non-equilibrium region.n.

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매시브 콘크리트에 배근된 축방향 주철근의 인발특성에 관한 해석적 연구 (An Analytical Study on the Pullout Properties of Axial Bars Embedded in Massive Concrete)

  • 장일영;송재호;변근주
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1993년도 봄 학술발표회 논문집
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    • pp.194-200
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    • 1993
  • The objective of this study is to clarify analytically the pullout behavior of axial bars from a footing. The bond stress-slip model obtained from the results by the finite element method as well as the pullout tests in massive concrete was used in order to evaluate the slip of bars from the footing. Also, the process of bond mechanism was taken into consideration on order to express the deterioration of bond stress along bars, The shape and magnitude of bond stress distribution depends upon each loading steps. Using equilibrium equation of axial force, $\tau$-S relationship and $\sigma$s-$\varepsilon$s relationship, the differential equations of each loading steps are derived. Applying both boundary and equilibrium conditions to the equations, the amount of slip could be determined. Calculated values on the basis of proposed method evaluation of the slip of bars have a good agreement with the experimental results.

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절대절점좌표를 이용한 회전체인의 시뮬레이션 (Simulation of a Rotating Chain with an Absolute Nodal Coordinate Formulation)

  • 유완석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.649-654
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    • 2004
  • A physically simple but mathematically cumbrous problem of rotating heavy chain with one fixed top point is studied. Nonlinear equation of its two-dimensional shapes of relative equilibrium is obtained and solved numerically. A linear case of small displacements is analyzed in terms of Bessel functions. The qualitative and quantitative behavior of the problem is discussed with the help of bifurcation diagram. Dynamics of the two-dimensional model near the equilibrium positions is studied with the help of simulation using the absolute nodal coordinate formulation (ANCF). The equilibriums are found instable, and the reason of instability is explained using a variational principle.

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STABILITY AND BIFURCATION ANALYSIS FOR A TWO-COMPETITOR/ONE-PREY SYSTEM WITH TWO DELAYS

  • Cui, Guo-Hu;Yany, Xiang-Ping
    • 대한수학회지
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    • 제48권6호
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    • pp.1225-1248
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    • 2011
  • The present paper is concerned with a two-competitor/oneprey population system with Holling type-II functional response and two discrete delays. By linearizing the system at the positive equilibrium and analyzing the associated characteristic equation, the asymptotic stability of the positive equilibrium and existence of local Hopf bifurcations are investigated. Particularly, by applying the normal form theory and the center manifold reduction for functional differential equations (FDEs) explicit formulae determining the direction of bifurcations and the stability of bifurcating periodic solutions are derived. Finally, to verify our theoretical predictions, some numerical simulations are also included at the end of this paper.