• Title/Summary/Keyword: solutions

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High-Order Perturbation Solutions of Liquid Pool Spreading with Continuous Spill (연속적으로 누출되는 액체 풀의 확산에 관한 고차 섭동해)

  • Kim, Myung-Bae;Do, Kyu-Hyung;Han, Yong-Shik;Choi, Byung-Il
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.9
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    • pp.907-913
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    • 2012
  • High-order perturbation solutions have been obtained for the simple physical model describing the liquid pool spreading with a continuous spill, and these are shown to improve over first-order perturbation solutions. The non-dimensional governing equations for the model are derived to obtain more general solutions. Non-dimensional parameters are sought as the governing parameters for the non-dimensional equations, and the non-dimensional evaporation rate is used as the perturbation parameter. The results show that the high-order solutions exhibit an improvement over the first-order solutions with respect to the pool volume as well as the spreading radius. In addition, as the order of the perturbation solutions increases, the difference between the numerical solutions and the perturbation solutions is significantly reduced. Finally, it is revealed that the third-order solutions are reasonable because they almost agree with the numerical solutions.

Effects of dissolution temperature on the rheological properties of polyvinyl alchol solutions in dimethyl sulfoxide

  • Cho, Yong-Han;Dan, Kyung-Sik;Kim, Byoung-Chul
    • Korea-Australia Rheology Journal
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    • v.20 no.2
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    • pp.73-77
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    • 2008
  • The rheological properties of polar solutions are very sensitive to preparative methods as well as measuring conditions. The effects of dissolution temperature on the rheological properties of the solutions of polyvinyl alcohol (PVA) in dimethyl sulfoxide were investigated over the range of dissolution temperatures $70-130^{\circ}C$. Viscosity was increased as dissolution temperature was increased. PVA solutions prepared at 120 and $130^{\circ}C$ showed Bingham behavior, which became less noticeable with decreasing dissolution temperature. The modified Cole-Cole plot of the solutions gave slope less than 2, suggesting the solutions were a heterogeneous system irrespective of optical transparency. Further, the slope was decreased with increasing dissolution temperature, indicating that the solid character got more prominent as dissolution temperature was increased. However, the relaxation time of the solutions was little dependent on dissolution temperature.

Analysis of composite plates using various plate theories -Part 1: Formulation and analytical solutions

  • Bose, P.;Reddy, J.N.
    • Structural Engineering and Mechanics
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    • v.6 no.6
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    • pp.583-612
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    • 1998
  • A unified third-order laminate plate theory that contains classical, first-order and third-order theories as special cases is presented. Analytical solutions using the Navier and L$\acute{e}$vy solution procedures are presented. The Navier solutions are limited to simply supported rectangular plates while the L$\acute{e}$vy solutions are restricted to rectangular plates with two parallel edges simply supported and other two edges having arbitrary combination of simply supported, clamped, and free boundary conditions. Numerical results of bending and vibration for a number of problems are discussed in the second part of the paper.

Closed Form Inverse Kinematic Solutions for General Combination of Three-Joint Manipulator (3관절 매니퓰레이터의 일반적 조합에 대한 역기구학적 폐형해)

  • 한규범
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04b
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    • pp.363-368
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    • 1995
  • A general method of solving inverse kinematics of three-joint manipulator composed of revolute joints or prismatic joints or combinations of those joints is presented in this study. In completing real-time control, it is very important to obtain the closed form solutions of inverse kinematics rather than iterative numerical solutions, because iterative numerical solutions are generally much slower than the corresponding closed form solutions. If it is possible to obtain the inverse kinematic solutions for general cases of considering twist anlges and offsets, the manipulator work space can be designed and enlarged more effciently for specific task. Moreover, in idustrial manipulators, the effect of main three joints is larger than that of the other three joints related to orientation in the view of work space. Therfore the solutions of manin three-joint are considered. Even The inverse kinematic equations are complicatedly coupled, the systematical solving process by using symbolic calculation is presented.

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Integral Approximate Solutions to a One-Dimensional Model for Stratified Thermal Storage Tanks (성층화된 축열조의 1차원모델에 대한 적분 근사해)

  • Chung, Jae-Dong
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.22 no.7
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    • pp.468-473
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    • 2010
  • This paper deals with approximate integral solutions to the one-dimensional model describing the charging process of stratified thermal storage tanks. Temperature is assumed to be the form of Fermi-Dirac distribution function, which can be separated to two sets of cubic polynomials for each hot and cold side of thermal boundary layers. Proposed approximate integral solutions are compared to the previous works of the approximate analytic solutions and show reasonable agreement. The approach, however, has benefits in mathematical difficulties, complicated solution form and unstable convergence of series solution founded in the previous analytic solutions. Solutions for a semi-infinite region, which have simple closed form solutions, give close agreement to those for a finite region. Thermocline thickness is obtained in closed form and shows proportional behavior to the square root of time and inverse proportional behavior to the square root of flow rate.

Closed form solutions for element equilibrium and flexibility matrices of eight node rectangular plate bending element using integrated force method

  • Dhananjaya, H.R.;Pandey, P.C.;Nagabhushanam, J.;Othamon, Ismail
    • Structural Engineering and Mechanics
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    • v.40 no.1
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    • pp.121-148
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    • 2011
  • Closed form solutions for equilibrium and flexibility matrices of the Mindlin-Reissner theory based eight-node rectangular plate bending element (MRP8) using Integrated Force Method (IFM) are presented in this paper. Though these closed form solutions of equilibrium and flexibility matrices are applicable to plate bending problems with square/rectangular boundaries, they reduce the computational time significantly and give more exact solutions. Presented closed form solutions are validated by solving large number of standard square/rectangular plate bending benchmark problems for deflections and moments and the results are compared with those of similar displacement-based eight-node quadrilateral plate bending elements available in the literature. The results are also compared with the exact solutions.

A Comprehensive Study on Patient Flow Improvement Solutions and Their Implementation Strategies in an Outpatient System (대형 병원 외래 시스템의 환자 흐름 개선방안의 적용 전략에 관한 연구)

  • Lee, Young-Woo;Lee, Tae-Sik
    • IE interfaces
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    • v.23 no.1
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    • pp.1-11
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    • 2010
  • There are various ways to manage the patient flow of the hospital outpatient system. However, it is difficult to apply many implementation solutions to the real outpatient system at once. Because first, the expected effects of each different solution are very much depend on the real situation of the system and applied other solutions, and second, owing to the limited resources, each solution should be implemented according to the priority. In order to overcome these difficulties, this paper focuses on proposing the comprehensive subset of implementation solutions, which is one of the most effective among various kinds of subsets, and verifying the effects of it. The comprehensive subset of solutions is derived from conducting design of experiments and simulation which determine the optimum set of different solutions and analyze the particular interactions and priority order among them. This implementation strategy can solve the difficulties of applying different kinds of various solutions to the hospital outpatient system.

Dynamic Rheological Comparison of Selected Gum Solutions

  • Choi, Su-Jin;Chu, So-Young;Yoo, Byoung-Seung
    • Food Science and Biotechnology
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    • v.15 no.3
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    • pp.474-477
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    • 2006
  • Dynamic rheological properties of commercial 0.8, 1.0, and 1.2% gums [carboxylmethylcellulose (CMC), guar gum, hydroxypropylmethylcellulose (HPMC), tara gum, and xanthan gum], which can be dissolved in cold water, were investigated by small-deformation oscillatory measurements. Magnitudes of storage (G') and loss (G") moduli increased with increasing concentration of gum solutions except for xanthan gum. Guar gum exhibited greatest G' and G" values among all gums except for G' value at 0.8% concentration. Slopes of G' and G" decreased with increasing concentration of gum solutions except for xanthan gum. Tan ${\delta}$ (G"/G') values decreased with increasing concentration of gum solutions except for xanthan gum. Tan ${\delta}$ values of xanthan gum solutions were much lower than those of other gum solutions, indicating that xanthan gum solutions were predominantly more elastic than viscous.

STABILITY OF POSITIVE STEADY-STATE SOLUTIONS IN A DELAYED LOTKA-VOLTERRA DIFFUSION SYSTEM

  • Yan, Xiang-Ping;Zhang, Cun-Hua
    • Journal of the Korean Mathematical Society
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    • v.49 no.4
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    • pp.715-731
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    • 2012
  • This paper considers the stability of positive steady-state solutions bifurcating from the trivial solution in a delayed Lotka-Volterra two-species predator-prey diffusion system with a discrete delay and subject to the homogeneous Dirichlet boundary conditions on a general bounded open spatial domain with smooth boundary. The existence, uniqueness and asymptotic expressions of small positive steady-sate solutions bifurcating from the trivial solution are given by using the implicit function theorem. By regarding the time delay as the bifurcation parameter and analyzing in detail the eigenvalue problems of system at the positive steady-state solutions, the asymptotic stability of bifurcating steady-state solutions is studied. It is demonstrated that the bifurcating steady-state solutions are asymptotically stable when the delay is less than a certain critical value and is unstable when the delay is greater than this critical value and the system under consideration can undergo a Hopf bifurcation at the bifurcating steady-state solutions when the delay crosses through a sequence of critical values.

Standard Conformance Test System for e-Business Solutions Supporting ebXML (ebXML 지원 솔루션의 표준적합성 테스트 시스템 구축)

  • Kim, Dong-Soo;Yun, Jung-Hee
    • Journal of Information Technology Services
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    • v.2 no.1
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    • pp.85-97
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    • 2003
  • This research has designed and implemented the standard conformance test system for e-Business solutions that supports the ebXML, which is currently being focused on as the leading electronic commerce framework. The adoption of standards such as ebXML is probably the best way to achieve interoperability among electronic commerce systems, and more and more e-Business solutions around the world are supporting ebXML. This research primarily discusses the concept and needs for the standard conformance tests on e-Business solutions. The standard conformance test system is developed based on the detailed specifications of the ebXML framework. This system was used to test commercial e-Business solutions supporting ebXML. The system implemented in this research will provide a significant basis for the standard conformance certification of e-Business solutions, and could also provide clear decision criteria for e-Business solutions currently in market, thus activate the overall e-Business market.