• Title/Summary/Keyword: Equilibrium model

Search Result 2,132, Processing Time 0.028 seconds

A Quasi-Steady Model for Sedimentation and Flushing of Reservoirs (저수지 퇴배사 모의를 위한 준정류모형)

  • Choi, Sung-Uk;Choi, Seong-Wook
    • Journal of Korea Water Resources Association
    • /
    • v.45 no.2
    • /
    • pp.217-227
    • /
    • 2012
  • This paper presents a quasi-steady model for numerical simulations of reservoir sedimentation and reservoir flushing. The quasi-steady model is based on the assumption that the flow is steady with time-dependent stream morphology change. This is reasonable because stream morphology changes over a long period, while the flow changes rapidly. The proposed model is first applied to two laboratory experiments for reservoir sedimentation. The channel is shown to be adjusted to new sediment supply at the upstream by changing both the flow depth and slope. Simulated water surface and bed profiles compare favorably to measured data. The model is also applied to reservoir flushing. Good agreement between simulated and measured data is not obtained due to time variation of outflow generated to facilitate the flushing in the experiment. Finally, relationships for equilibrium flow depth and bed slope are proposed and tested through numerical experiments.

Simulation of Preparation Protein Chromatography (제조용 단백질 크로마토그래피의 시뮬레이션)

  • 김인호;이선묵;황우성
    • KSBB Journal
    • /
    • v.14 no.3
    • /
    • pp.371-376
    • /
    • 1999
  • Simulation of preparative protein chromatography becomes necessary for separation as well as optimal operation. A mathematical model describing the behavior of elution peaks in preparative protein chromatography for single and binary component separation was solved numerically using a PDEsolver Macsyma$^{\circledR}$(Macsyma Inc., Arlington, MA, U.S.A.). Band profiles were calculated with the equilibrium-dispersive model of chromatography. The effects of the sample volume, concentrations of solutes in the sample, flow velocity and column length on the band profile of the elution peaks are discussed. The results in this paper suggest the model simulation for the binary mixture can be extended to multicomponent separations.

  • PDF

Kinetics and Equilibrium Adsorption Studies of Cd Adsorption by the Activated Carbon Containing Hydroxyapatite (Hydroxyapatite 첨가 활성탄을 이용한 Cd의 동역학적 흡착과 흡착평형에 관한 연구)

  • An, Sangwoo;Choi, Jaeyoung;Park, Jaewoo
    • Journal of the Korean GEO-environmental Society
    • /
    • v.11 no.1
    • /
    • pp.45-51
    • /
    • 2010
  • Cadmium (Cd) adsorption by the activated carbon containing hydroxyapatite (HAP) was investigated. Cd adsorption with different HAP mass ranged from 10% to 30%. With more HAP, more Cd was adsorbed. These results suggest that the higher HAP dose causes an increase of the ion exchange potential in HAP sorbent. Kinetics and equilibrium studies were investigated in series of batch adsorption experiments. Langmuir and Freundlich isotherm models were fit to the equilibrium data and Cd adsorption on HAP sorbent were found to follow the Freundlich isotherm model well in the initial adsorbate concentration range. The simple kinetic model, the pseudo first order kinetic model and the pseudo second order kinetic model, were used to investigate the adsorption. The adsorption reaction of Cd followed the pseudo second order kinetic model, and the adsorption pseudo second order kinetic constants ($k_2$) increased with increasing initial HAP amounts onto activated carbon. Also, intraparticle diffusion model was used to investigate the adsorption mechanism between adsorbate and adsorbent in the aqueous phase. Surface adsorption reaction and intraparticle diffusion occur simultaneously Cd adsorption mechanism from aqueous phase in this study.

Alternating Offers Bargaining Game and Wardrop's User Equilibrium (Nash의 협상게임과 Wardrop의 사용자 균형)

  • Lim, Yong-Taek
    • Journal of Korean Society of Transportation
    • /
    • v.23 no.4 s.82
    • /
    • pp.37-45
    • /
    • 2005
  • This paper presents a relationship between Nash bargaining game and Wardrop user equilibrium, which has been widely used in transportation modeling for route choice problem. Wardrop user equilibrium assumes that drivers in road network have perfect information on the traffic conditions and they choose their optimal paths without cooperation each other. In this regards, if the bargaining game process is introduced in route choice modeling, we may avoid the strong assumptions to some extent. For such purpose, this paper derives a theorem that Nash bargaining solution is equivalent to Wardrop user equilibrium as the barging process continues and prove it with some numerical examples. The model is formulated based on two-person bargaining game. and n-person game is remained for next work.

Investigation of the observed solar coronal plasma in EUV and X-rays in non-equilibrium ionization state

  • Lee, Jin-Yi;Raymond, John C.;Reeves, Katharine K.;Shen, Chengcai;Moon, Yong-Jae
    • The Bulletin of The Korean Astronomical Society
    • /
    • v.43 no.1
    • /
    • pp.53.1-53.1
    • /
    • 2018
  • During a major solar eruption, the erupting plasma is possibly out of the equilibrium ionization state because of its rapid heating or cooling. The non-equilibrium ionization process is important in a rapidly evolving system where the thermodynamical time scale is shorter than the ionization or recombination time scales. We investigate the effects of non-equilibrium ionization on EUV and X-ray observations by the Atmospheric Imaging Assembly (AIA) on board Solar Dynamic Observatory and X-ray Telescope (XRT) on board Hinode. For the investigation, first, we find the emissivities for all the lines of ions of elements using CHIANTI 8.07, and then we find the temperature responses multiplying the emissivities by the effective area for each AIA and XRT passband. Second, we obtain the ion fractions using a time-dependent ionization model (Shen et al. 2015), which uses an eigenvalue method, for all the lines of ion, as a function of temperature, and a characteristic time scale, $n_et$, where $n_e$ and t are density and time, respectively. Lastly, the ion fractions are multiplied to the temperature response for each passband, which results in a 2D grid for each combination of temperature and the characteristic time scale. This is the set of passband responses for plasma that is rapidly ionized in a current sheet or a shock. We investigate an observed event which has a relatively large uncertainty in an analysis using a differential emission measure method assuming equilibrium ionization state. We verify whether the observed coronal plasmas are in non-equilibrium or equilibrium ionization state using the passband responses.

  • PDF

Cu and Zn Ions Adsorption Properties at Various pH with a Synthetic Zeolite (합성 제올라이트를 이용한 pH에 따른 Cu와 Zn 이온의 흡착특성)

  • Lee, Chang-Han
    • Journal of Environmental Science International
    • /
    • v.21 no.7
    • /
    • pp.805-813
    • /
    • 2012
  • The removal property of Cu and Zn ions by chemical precipitation and adsorption using zeolite(Z-C1) prepared from coal fly ash(CFA) were evaluated in this study. Adsorption kinetic and equilibrium mechanisms described to analyze parameters and correlation factors with Lagergen $1^{st}$ and $2^{nd}$ order model and Langmuir and Freundlich model. Analysis of adsorption kinetics data revealed that the pseudo $2^{nd}$ order kinetics mechanism was predominant. The equilibrium data in pH 3 - 5 were able to be fitted well to a Langmuir model, by which the maximum adsorption capacities($q_{max}$) were determined at 124.9 - 140.1 mg $Cu^{2+}/g$ and 153.2 - 166.9 mg $Zn^{2+}/g$, respectively. We found that Z-C1 has a potential application as absorbents in metal ion recovery with low pH.

Simple estimation of Langmuir Parameter by HPLC experiments (HPLC를 이용한 Langmuir Parameter의 추산)

  • Lee, Sun-Mook;Yoon, Tae-Ho;Kim, In-Ho
    • Clean Technology
    • /
    • v.9 no.2
    • /
    • pp.81-85
    • /
    • 2003
  • A simple method of isotherm determination for HPLC is discussed. The equilibrium-dispersive model describing the behavior of elution peaks in HPLC for single component is solved numerically by using PDE solver Macsyma$^{(R)}$(Macsyma Inc., Arlington, MA, USA.) and compared to the experimental data obtained in overloaded isocratic chromatography with caffeine as model species. The effect of sample concentration and flow velocity on the band profiles of elution peaks are described.

  • PDF

Effects of Prestressing Force on the Natural Frequency of a PSC Beam (PSC 보의 고유진동수에 미치는 긴장력의 영향)

  • Koo Min-Se;Lee Ho-Kyung;Lee Ju-Beom
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2005.04a
    • /
    • pp.408-415
    • /
    • 2005
  • Existing results of some related experiments report that variation in the magnitude of prestressing force may leads to a change of dynamic properties of a PSC girder system. Since a usual dynamic equilibrium equation doesn't explain these phenomena, a modified dynamic equilibrium equation is derived in this paper by considering prestressing force as an internal energy of the system. The derived equation is applied to a modified beam element model is proposed. The proposed model validated by comparing the natural frequencies computed by the model with those from an existing experiment result.

  • PDF

A Study on Evaluating the Selection of Low Rank Coal Gasifier (저급탄 가스화기 선정 평가 연구)

  • KIM, CHEOLOONG;LIM, HO;KIM, RYANGGYOON;SONG, JUHUN;JEON, CHUNGHWAN
    • Transactions of the Korean hydrogen and new energy society
    • /
    • v.26 no.6
    • /
    • pp.567-580
    • /
    • 2015
  • In order to select an optimum gasifier for specific low rank coal, evaluation elements were studied by analyzing characteristics of low rank coal compared with those of high rank coal and the effects of each gasifier type in accordance with the characteristics. And syngas composition calculation model was made on the basis of thermochemical equilibrium to quantify some of the evaluation elements. And then the suitable gasifier was selected for a kind of Indonesian low rank coal through this syngas composition calculation model and the evaluation elements of selecting gasifier.

A User Equilibrium Transit Assignment Model with Vehicle Capacity Constraint (차량용량을 고려한 대중교통 통행배정모형구축에 관한 연구)

  • 이성모;유경상;전경수
    • Journal of Korean Society of Transportation
    • /
    • v.14 no.3
    • /
    • pp.27-44
    • /
    • 1996
  • The purpose of the thesis is providing a new formulation for the transit assignment problem. The existing models dealing with the transit assignment problem don't consider the congestion effects due to the insufficient capacity of transit vehicles. Besides, these models don't provide solutions satisfying the Wardrop's user equilibrium conditions. The congestion effects are considered to be concentrated at the transit stops. For the transit lines, the waiting times at the transit stops are dependent on the passenger flows. The new model suggests the route section cost function analogous to the link performance function of the auto assignment to reflect the congestion effects in congested transit network. With the asymmetric cost function, the variational inequality programming is used to obtain the solutions satisfying Wardrop's condition. The diagonalization algorithm is introduced to solve this model. Finally, the results are compared with those of EMME/2.

  • PDF