• Title/Summary/Keyword: Equilibrium Model

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Removal of Heavy metal Ions from Aqueous Solutions by Adsorption on Magadiite

  • 정순용;이정민
    • Bulletin of the Korean Chemical Society
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    • v.19 no.2
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    • pp.218-222
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    • 1998
  • Removal of Cd(Ⅱ), Zn(Ⅱ) and Cu(Ⅱ) from aqueous solutions using the adsorption process on magadiite has been investigated. It was found that the removal percentage of metal cations at equilibrium increases with increasing temperature, and follows the order of Cd(Ⅱ) > Cu(Ⅱ) > Zn(Ⅱ). Equilibrium modeling of adsorption showed that the adsorptions of Cd(Ⅱ), Cu(Ⅱ), and Zn(Ⅱ) were fitted to Langmuir isotherm. Kinetic modeling of the adsorption showed that first order reversible kinetic model fitted to experimental data. From kinetic model and equilibrium data, the overall rate constant (k) and the equilibrium constant (K) for the adsorption process were calculated. The overall rates of adsorption of metal ions follow the order of Cd(Ⅱ) > Cu(Ⅱ) > Zn(Ⅱ). From the results of thermodynamic analysis, standard Gibbs free energy (ΔG°), standard enthalpy (ΔH°), and standard entropy (ΔS°) of adsorption process were calculated.

Arbitrator's Reputation and PR Cost: A Signaling Approach

  • Joon Yeop Kwon;Sung Ryong Kim
    • Journal of Arbitration Studies
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    • v.33 no.3
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    • pp.129-146
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    • 2023
  • We construct a signaling game model between the arbitrator and claimants, in which the arbitrator's marketing amount is adopted as the signaling device. Assuming that the parties to the dispute select an arbitrator, and if there is a difference in the arbitrator's fee depending on the arbitrator's reputation, the arbitrator will pay to further enhance his reputation. We would like to analyze the cost differences between arbitrators who already have a high reputation and arbitrators who strive to further enhance their reputation using the signal model. From the Analysis of our study, We derive perfect Bayesian equilibrium of the signaling game and refine the equilibrium into a unique equilibrium by invoking the Intuitive Criterion of Cho and Kreps (1987). Further, we characterize the refined equilibrium.

Analysis of the Price-Selection Problem in Priority-based Scheduling (우선순위 방식 스케쥴링에서의 가격선택 문제의 분석)

  • Park, Sun-Ju
    • Journal of KIISE:Information Networking
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    • v.33 no.2
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    • pp.183-192
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    • 2006
  • This paper analyzes the price-selection problem under priority-based scheduling for QoS (Quality of Service) network services, i.e., how to determine the price associated with each service level. In particular, we focus on the problems with the pricing mechanism based on equilibrium analysis. We claim that the assumptions needed to produce equilibrium nay not hold in some important environments. Specifically, (a) the individual user's impact on the system is not infinitesimal and (b) users do not always have up-to-date global system-status knowledge crucial for optimal user decisions required for equilibrium. These may make the equilibrium models inaccurate in realistic environments. We examine the accuracy of some existing equilibrium methods by using a dynamic model that we have developed for system behavior analysis. The analysis indicates that equilibrium methods fail to model accurately the system behavior in some realistic environments.

On response of Surface Equilibrium Temperature for Change of Surface Characteristics : An EBM Study (지표 특성 변화에 대한 평형온도의 반응 연구 : EBM 연구)

  • Seo, Ye-Won;Chu, Jung-Eun;Ha, Kyung-Ja
    • The Korean Journal of Quaternary Research
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    • v.24 no.2
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    • pp.1-11
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    • 2010
  • Energy Balance Model (EBM) was used to experiment the distribution of surface equilibrium temperature which responds to external forcing associated with the surface characteristics. Surface equilibrium temperature is calculated as sum of incoming solar radiation and latitudinal transport is balanced with outgoing infrared radiation. To treat incoming solar radiation, the source of the earth energy, significantly for energy balance, the experiment for surface equilibrium temperature distribution was performed considering the energy balance with the latitudinal albedo change as well as land and sea distribution. In addition, linear albedo change experiment, arctic albedo 5%, 10%, 15% change experiments and the opposite albedo change experiments between arctic and mid-latitudes were performed using incoming solar radiation as an external forcing. Moreover, with and without ice-albedo feedback experiments were performed. Increasing of arctic albedo is blocked out the incoming solar radiation so that it induces decreasing of latitudinal heat transport. It is strengthened energy transport from low latitudes by keeping arctic low energy states. Therefore the temperature change in the mid-latitudes exhibits larger response than that of arctic due to the difference of transport. The land which has lower heat capacity than sea can be reach to equilibrium temperature shortly. Also land is more sensitive to temperature change with respects to albedo. Thus it induces the thermal difference between land and sea. As a result, the equilibrium temperature exhibits differently as the difference of albedo and heat capacity which are the one of surface characteristics. Surface equilibrium temperature decreases as albedo increase and the ratio of temperature change is large as heat capacity is small. The decreasing of surface equilibrium temperature with respects to increasing of linear albedo is accelerated by ice-albedo feedback. However local change of surface equilibrium temperature decreases non-linearly.

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The Equilibrium Solution and the Stability Analysis of Reynolds Stress Equations for a Homogeneous Turbulent Shear Flow (난류 균일전단유동에 대한 레이놀즈 응력 모형방정식의 평형해와 안정성 해석)

  • 이원근;정명균
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.3
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    • pp.820-833
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    • 1995
  • An analysis is performed to examine the equilibrium state and the stability of modeled Reynolds stress equations for homogeneous turbulent shear flows. The system of the governing equations consists of four coupled ordinary differential equations. The equilibrium states are found by the steady state solution of the governing equations. In order to investigate the stability of the system about its state in equilibrium, and eigenvalue problem is constructed. As a result, constraints for the coeffieients in the model equations are obtained by the stability condition of the equilibrium state as well as by their physically realizable bounds. It is observed that the models with pressure-strain rate correlation that are linear in the anisotropy tensor are stable and produce reasonable equilibrium tensor do not behave properly. Stability considerations about three most commonly used models are given in detail in the final section.

A Raid-Type War-Game Model Based on a Discrete Multi-Weapon Lanchester's Law

  • Baik, Seung-Won
    • Management Science and Financial Engineering
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    • v.19 no.2
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    • pp.31-36
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    • 2013
  • We propose a war-game model that is appropriate for a raid-type warfare in which, a priori, the maneuver of the attacker is relatively certain. The model is based on a multi-weapon extention of the Lanchester's law. Instead of a continuous time dynamic game with the differential equations from the Lanchester's law, however, we adopt a multi-period model relying on a time-discretization of the Lanchester's law. Despite the obvious limitation that two players make a move only on the discrete time epochs, the pragmatic model has a manifold justification. The existence of an equilibrium is readily established by its equivalence to a finite zero-sum game, the existence of whose equilibrium is, in turn, well-known to be no other than the LP-duality. It implies then that the war-game model dictates optimal strategies for both players under the assumption that any strategy choice of each player will be responded by a best strategy of her opponent. The model, therefore, provides a sound ground for finding an efficient reinforcement of a defense system that guarantees peaceful equilibria.

The forecasting evaluation of the high-order mixed frequency time series model to the marine industry (고차원 혼합주기 시계열모형의 해운경기변동 예측력 검정)

  • KIM, Hyun-sok
    • The Journal of shipping and logistics
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    • v.35 no.1
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    • pp.93-109
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    • 2019
  • This study applied the statistically significant factors to the short-run model in the existing nonlinear long-run equilibrium relation analysis for the forecasting of maritime economy using the mixed cycle model. The most common univariate AR(1) model and out-of-sample forecasting are compared with the root mean squared forecasting error from the mixed-frequency model, and the prediction power of the mixed-frequency approach is confirmed to be better than the AR(1) model. The empirical results from the analysis suggest that the new approach of high-level mixed frequency model is a useful for forecasting marine industry. It is consistent that the inclusion of more information, such as higher frequency, in the analysis of long-run equilibrium framework is likely to improve the forecasting power of short-run models in multivariate time series analysis.

Numerical Analysis of River Bed Change Due to Reservoir Failure Using CCHE1D Model (CCHE1D 모형을 이용한 저수지 붕괴에 따른 하상변동 해석)

  • Son, In Ho;Kim, Byunghyun;Son, Ah Long;Han, Kun Yeun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.36 no.2
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    • pp.219-229
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    • 2016
  • This study presents the analysis of flood and bed deformation caused by reservoir failure. The CCHE1D is used to simulate 1D non-uniform, non-equilibrium sediment transport and bed deformation. The CCHE1D deals with the adaptation length for non-equilibrium sediment, classified sediment particle for non-uniform sediment and mixing layer for the exchange with the sediment moving with the flow. The model is applied to Ha!Ha! river basin where was experienced reservoir failure in 1996 to analyze non-uniform and non-equilibrium sediment transport. The calculations are compared with morphological bed changes of pre- and post-flood. In addition, model sensitivity to main parameters involving adaptation length ($L_{s,b}$), non-equilibrium coefficient (${\alpha}_s$), mixing layer thickness (${\delta}_m$) and porosity (p') is analyzed. The results indicates that thalweg change is the most sensitive to non-equilibrium coefficient (${\alpha}_s$) among those parameters in the study area.

OSCILLATION AND ATTRACTIVITY OF DISCRETE NONLINEAR DELAY POPULATION MODEL

  • Saker, S.H.
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.363-374
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    • 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.

NUMERICAL MODEL ON THE FUEL INJECTION CHARACTERISTICS FOR PREDICTING EXHAUST EMISSIONS FROM A MARINE DIESEL ENGINE

  • LEE S.-Y.;KIM G.-B.;JEON C.-H.;CHANG Y.-J.
    • International Journal of Automotive Technology
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    • v.6 no.3
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    • pp.205-213
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    • 2005
  • This study deals with the result of exhaust emissions and performance calculated by simulation of the fuel injection characteristics of the inline injection system in a marine diesel engine. The emissions are calculated through non-equilibrium by using the extended Zel'dovich kinetic mechanism for NOx and equilibrium method for OH, CO, $H_2$, Hand soot concentrations. Comparisons of the model predictions with the experimental values show reasonable agreement. Detailed prediction results showing the sensitivity of the model by injection rates are presented and discussed.