• Title/Summary/Keyword: regular solution theory

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Partial Miscibility of Binary Solution with Specific Interaction of Binomial Distribution (이항분포의 특정 상호작용을 갖는 이성분 용액에서의 부분혼합도)

  • Jung, Hae-Young
    • Journal of the Korean Chemical Society
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    • v.58 no.6
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    • pp.528-534
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    • 2014
  • In some binary solution, closed miscibility loop of temperature-composition phase diagram occurs where both an upper critical solution temperature and a lower critical solution temperature exist. It is known that this phenomena occurs if specific interaction between molecules exists. There are several ways describing the specific interaction. In this work it is assumed that the total number of specific interactions is distributed according to binomial distribution. In this case, exact mathematical conditions for closed miscibility loop phase behavior are derived when the specific interaction is applied to regular solution theory, quasichemical theory and Flory-Huggins lattice theory. And we investigated the effect of parameters on the phase diagram. The phase diagram of water-nicotine is calculated and compared with experimental data.

Use of the Thermodynamic Solution Properties of Xenon in n-Alkanes for the Examination of Models for the Cavity Formation Process

  • Park, Jung-Hag;Brady, James E.;Carr, Peter W.
    • Bulletin of the Korean Chemical Society
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    • v.10 no.3
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    • pp.309-314
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    • 1989
  • The interaction energies of Xenon in n-alkanes were estimated by using three models for the cavity formation process, Hildebrand's regular solution theory, Pierotti's scaled particle theory and Sinanoglu-Reiss-Moura-Ramos' solvophobic theory in an attempt to examine the validity of three models. It appears that Pierotti's implementation of scaled particle theory yields a reasonable estimate of cavity formation energy over a considerable range in solvent size provided that the solute is spherical enough as are the inert gases.

Computational Investigation of Seakeeping Performance of a Surfaced Submarine in Regular Waves

  • Jung, Doojin;Kim, Sanghyun
    • Journal of Ocean Engineering and Technology
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    • v.36 no.5
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    • pp.303-312
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    • 2022
  • A submarine is optimized to operate below the water surface because it spends most of its time in a submerged condition. However, the performance in free surface conditions is also important because it is unavoidable for port departure and arrival. Generally, potential flow theory is used for seakeeping analysis of a surface ship and is known for excellent numerical accuracy. In the case of a submarine, the accuracy of potential theory is high underwater but is low in free surface conditions because of the nonlinearity near the free surface area. In this study, the seakeeping performance of a Canadian Victoria Class submarine in regular waves was investigated to improve the numerical accuracy in free surface conditions by using computational fluid dynamics (CFD). The results were compared to those of model tests. In addition, the potential theory software Hydrostar developed by Bureau Veritas was also used for seakeeping performance to compare with CFD results. From the calculation results, it was found that the seakeeping analysis by using CFD gives good results compared with those of potential theory. In conclusion, seakeeping analysis based on CFD can be a good solution for estimating the seakeeping performance of submarines in free surface conditions.

OPTIMAL IMPULSE AND REGULAR CONTROL STRATEGIES FOR PROPORTIONAL REINSURANCE PROBLEM

  • RUI-CHENG YANG;KUN-HUI LIU;BING XIA
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.145-158
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    • 2005
  • We formulate a stochastic control problem on proportional reinsurance that includes impulse and regular control strategies. For the first time we combine impulse control with regular control, and derive the expected total discount pay-out (return function) from present to bankruptcy. By relying on both stochastic calculus and the classical theory of impulse and regular controls, we state a set of sufficient conditions for its solution in terms of optimal return function. Moreover, we also derive its explicit form and corresponding impulse and regular control strategies.

Synergistic Effect of Mixed Anionic/Nonionic Surfactant Micelles (음이온/비이온 계면활성제의 미셀상승 효과)

  • Kwon, Soun-Il;Kwack, Kwang-Soo;Nam, Ki-Dae
    • Journal of the Korean Applied Science and Technology
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    • v.18 no.4
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    • pp.249-253
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    • 2001
  • A proposed method of determining the composition of mixed micelles in equilibrium with monomer of known composition is described. The systems were sodium ${\alpha}-sulfonated$ dodecanoyl ethyl esther (${\alpha}-SR_{12}Et$) or sodium dodecyl sulfate(SDS)-polyoxyethylene 23 lauryl ether (Brij 35) un water and in 0.1M sodium chloride solution at $25^{\circ}C$. This technique applies the Gibbs-Duhem equation to the mixed micelles, which is treated as a pseudophase. This proposed methodology, which needs only critical micelle concentration data as a function of monomer composition, is applied to an anionic/nonionic surfactant pair. The calculated monomer-micelle equilibrium is found to be very similar to the much-used regular solution for nonideal systems.

An Analytical Study of Regular Waves Generated by Bottom Wave Makers in a 3-Dimensional Wave Basin (3차원 조파수조에서 바닥 조파장치에 의해 재현된 규칙파에 대한 해석적 연구)

  • Jung, Jae-Sang;Lee, Changhoon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.34 no.4
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    • pp.93-99
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    • 2022
  • Analytical solutions for regular waves generated by bottom wave makers in a 3-dimensional wave basin were derived in this study. Bottom wave makers which have triangular, rectangular and combination of two shapes were adopted. The 3-dimensional velocity potential was derived based on the linear wave theory with the bottom moving boundary condition, kinematic and dynamic free surface boundary conditions in a wave basin. Then, analytical solutions of 3-dimensional particle velocities and free surface displacement were derived from the velocity potential. The solutions showed physically valid results for regular waves generated by bottom wave makers in a wave basin. The analytical solution for obliquely propagating wave generation from bottom wave maker which works like a snake was also derived. Numerical results of the solution agree well with theoretically predicted results.

A New Perspective on style and its change in the historical Met-hodology on Dress. (복식사 연구 방법에 있어서 양식 및 그 변화에 관한 연구)

  • 최윤미;김민자
    • Journal of the Korean Society of Costume
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    • v.20
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    • pp.63-72
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    • 1993
  • The concept of style provides a useful structure in history of Art. In aspect of formative art, dress and art work are alike, so style is a useful concept in the historical methodology on dress. The main purpose of this study was to apply the art criticism to the historical methodology on dress. For this purpose, documentary studies about style as a tool of historical research were proceeded. The results were as follows : 1. The concept of style consists of the external form and the internal meaning as double roots. Therefore, it's indispensable that the two asp-ects of style, form and meaning, must to be harmonized to describe the historical phenomena in dress. 2. The change pattern of style in dress is not always predeterminate and regular according to the cyclical theory. From the alternative point of view, the change pattern of style could be to describe the continuous theory proposed by kroeber, Brodsky. The whole change of style is considered "liked solution" by this theory.is theory.

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Development of Analytical Solutions on Velocities of Regular Waves Generated by Bottom Wave Makers in a Flume (바닥 조파장치가 설치된 수로에서 규칙파의 유속장에 관한 해석해 개발)

  • Jung, Jae-Sang;Lee, Changhoon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.34 no.3
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    • pp.58-71
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    • 2022
  • Analytical solutions for two-dimensional velocities of regular waves generated by bottom wave makers in a flume were derived in this study. Triangular and rectangular bottom wave makers were adopted. The velocity potential was derived based on the linear wave theory with the bottom moving boundary condition, kinematic and dynamic free surface boundary conditions. Then, analytical solutions of two-dimensional particle velocities were derived from the velocity potential. The velocity potential and two-dimensional particle velocities which were derived as complex integral equations were numerically calculated. The solutions showed physically valid results as velocities of regular waves generated by bottom wave makers in a flume.

Development of a Secure Routing Protocol using Game Theory Model in Mobile Ad Hoc Networks

  • Paramasivan, Balasubramanian;Viju Prakash, Maria Johan;Kaliappan, Madasamy
    • Journal of Communications and Networks
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    • v.17 no.1
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    • pp.75-83
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    • 2015
  • In mobile ad-hoc networks (MANETs), nodes are mobile in nature. Collaboration between mobile nodes is more significant in MANETs, which have as their greatest challenges vulnerabilities to various security attacks and an inability to operate securely while preserving its resources and performing secure routing among nodes. Therefore, it is essential to develop an effective secure routing protocol to protect the nodes from anonymous behaviors. Currently, game theory is a tool that analyzes, formulates and solves selfishness issues. It is seldom applied to detect malicious behavior in networks. It deals, instead, with the strategic and rational behavior of each node. In our study,we used the dynamic Bayesian signaling game to analyze the strategy profile for regular and malicious nodes. This game also revealed the best actions of individual strategies for each node. Perfect Bayesian equilibrium (PBE) provides a prominent solution for signaling games to solve incomplete information by combining strategies and payoff of players that constitute equilibrium. Using PBE strategies of nodes are private information of regular and malicious nodes. Regular nodes should be cooperative during routing and update their payoff, while malicious nodes take sophisticated risks by evaluating their risk of being identified to decide when to decline. This approach minimizes the utility of malicious nodes and it motivates better cooperation between nodes by using the reputation system. Regular nodes monitor continuously to evaluate their neighbors using belief updating systems of the Bayes rule.

A Study on Nonlinear Motions of Submerged Circular Cylinder in Regular Wave (정현파중에서의 잠수된 원형실린더의 비선형 운동에 관한 연구)

  • Ho-Young Lee;Jong-Heul Hwang
    • Journal of the Society of Naval Architects of Korea
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    • v.35 no.1
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    • pp.32-39
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    • 1998
  • A numerical analysis for large amplitude motions of submerged circular cylinder is presented. The method is based on potential theory and two-dimensional motions in regular harmonic waves are tented as an initial value problem. The fully nonlinear free surface boundary condition is assumed in an inner domain and this solution is matched along an assumed an assumed common boundary to a linear solution in outer domain. Calculations of the large amplitude motion of a submerged circular cylinder are directly simulated in time domain. It is shown that relative motion between the body and fluid particle gives a significant effect on the lift and drift motions.

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