• Title/Summary/Keyword: System solution

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EXISTENCE OF OPTIMAL SOLUTION AND OPTIMALITY CONDITION FOR PARAMETER IDENTIFICATION OF AN ECOLOGICAL SPECIES SYSTEM

  • LI CHUNFA;FENG ENMIN
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.273-286
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    • 2005
  • Parameter identification problem of a three species (predator, mutualist-prey, and mutualist) ecological system with reaction-diffusion phenomenon is investigated in this paper. The mathematical model of the parameter identification problem is constructed and continuous dependence of the solution for the direct problem on the parameters identified is obtained. Finally, the existence of optimal solution and an optimality necessary condition for the parameter identification problem are given.

DIRICHLET BOUNDARY VALUE PROBLEM FOR A CLASS OF THE NONCOOPERATIVE ELLIPTIC SYSTEM

  • JUNG, TACKSUN;CHOI, Q-HEUNG
    • Korean Journal of Mathematics
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    • v.23 no.2
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    • pp.259-267
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    • 2015
  • This paper is devoted to investigate the existence of the solutions for a class of the noncooperative elliptic system involving critical Sobolev exponents. We show the existence of the negative solution for the problem. We show the existence of the unique negative solution for the system of the linear part of the problem under some conditions, which is also the negative solution of the nonlinear problem. We also consider the eigenvalue problem of the matrix.

Analytical solution of the Cattaneo - Vernotte equation (non-Fourier heat conduction)

  • Choi, Jae Hyuk;Yoon, Seok-Hun;Park, Seung Gyu;Choi, Soon-Ho
    • Journal of Advanced Marine Engineering and Technology
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    • v.40 no.5
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    • pp.389-396
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    • 2016
  • The theory of Fourier heat conduction predicts accurately the temperature profiles of a system in a non-equilibrium steady state. However, in the case of transient states at the nanoscale, its applicability is significantly limited. The limitation of the classical Fourier's theory was overcome by C. Cattaneo and P. Vernotte who developed the theory of non-Fourier heat conduction in 1958. Although this new theory has been used in various thermal science areas, it requires considerable mathematical skills for calculating analytical solutions. The aim of this study was the identification of a newer and a simpler type of solution for the hyperbolic partial differential equations of the non-Fourier heat conduction. This constitutes the first trial in a series of planned studies. By inspecting each term included in the proposed solution, the theoretical feasibility of the solution was achieved. The new analytical solution for the non-Fourier heat conduction is a simple exponential function that is compared to the existing data for justification. Although the proposed solution partially satisfies the Cattaneo-Vernotte equation, it cannot simulate a thermal wave behavior. However, the results of this study indicate that it is possible to obtain the theoretical solution of the Cattaneo-Vernotte equation by improving the form of the proposed solution.

Composition of Optimal Nutrient Solution for Single-stemmed Rose 'Red velvet' in a Closed Aeroponic System

  • Kang Mu Jang;Lee Joo Hyun;Lee Yong-Beom
    • Journal of Bio-Environment Control
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    • v.14 no.3
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    • pp.174-181
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    • 2005
  • Experiments were carried out to develop an optimal nutrient solution for the single-stemmed rose (Rosa hybrida L.) 'Red velvet' in a closed aeroponic system. Plants were grown in 1/3, 1/2, 1, or 3/2 strength of the nutrient solution of National Horticultural Research Station in Japan (NHRS). Significantly less changes of pH and EC ($dS{\cdot}m^{-1}$) in the drainage were observed in 1/2 strength treatment as compared to other treatments. The $NO_3-N$, K, Ca, and Mg concentrations in the drainage solution of 1/2 strength treatment were maintained at optimal levels. These results indicated that the rose uptakes of both nutrients and water was more stable than those in other concentration. The concentration of macronutrients in nutrient solution were adjusted based on the ratio of nutrient:water (n/w) taken up by plants grown in the 1/2 strength solution. The composition of the new solution (classified the University of Seoul (UOS) solution) was as follow; $NO_3-N$ 8.8, $NH_4-N$ 0.67, P 2.0, K 4.8, Ca 4.0, Mg 2.0 $me{\cdot}L^{-1}$. To further evaluate new solution on crop growth, the rose 'Red Velvet' was grown again in l/2, 1, and 2 strength UOS solution to compare with 1.0 strength PBG (proefstion voor bloemisterij en glasgroenpe) solution. Overall the plant growth, including the stem length and number of five-leaflet leaves was higher in 1.0 strength of UOS solution than other treatments. Results presented in this study indicate that the nutrients in the UOS solution are well balanced for the single-stemmed rose in the closed aeroponic system.

Formulation, solution and CTL software for coupled thermomechanics systems

  • Niekamp, R.;Ibrahimbegovic, A.;Matthies, H.G.
    • Coupled systems mechanics
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    • v.3 no.1
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    • pp.1-25
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    • 2014
  • In this work, we present the theoretical formulation, operator split solution procedure and partitioned software development for the coupled thermomechanical systems. We consider the general case with nonlinear evolution for each sub-system (either mechanical or thermal) with dedicated time integration scheme for each sub-system. We provide the condition that guarantees the stability of such an operator split solution procedure for fully nonlinear evolution of coupled thermomechanical system. We show that the proposed solution procedure can accommodate different evolution time-scale for different sub-systems, and allow for different time steps for the corresponding integration scheme. We also show that such an approach is perfectly suitable for parallel computations. Several numerical simulations are presented in order to illustrate very satisfying performance of the proposed solution procedure and confirm the theoretical speed-up of parallel computations, which follow from the adequate choice of the time step for each sub-problem. This work confirms that one can make the most appropriate selection of the time step with respect to the characteristic time-scale, carry out the separate computations for each sub-system, and then enforce the coupling to preserve the stability of the operator split computations. The software development strategy of direct linking the (existing) codes for each sub-system via Component Template Library (CTL) is shown to be perfectly suitable for the proposed approach.

Development of an Automatic Nutrient-Solution Mixing and Supplying System (다구역 재배용 양액 자동 조제.공급 시스템 개발)

  • 김기영;전성필;류관희
    • Journal of Bio-Environment Control
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    • v.9 no.1
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    • pp.11-19
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    • 2000
  • In recent, multi-sector nutriculture in which each sectors are managed with different compositions and supplying amounts of nutrient solution is being prevalent especially in large-scale greenhouses. This study was carried out to develop an automatic mixing and supplying system of nutrient solution for the multi-sector greenhouse which can control various compositions of nutrient solution and supplying amounts for each sector. The stock solution control device could control discharge of the stock solution with device actuating time. The experimental result showed high correlation between the discharge and the actuating time. The system could make nutrient solution of various compositions and showed possibility of changing compositions of nutrient solution according to changes of growth stages or environments. Undesirable remnant nutrient-solution effect on the next supply was decreased by lowering RC of the previous nutrient solution remaining in the tank and supply pipe through rinse process. To evaluate performance of the developed system, experiments that compare N $O_3$$^{[-10]}$ , and P $O_4$$^{3-}$ concentrations of nutrient solution made in laboratory level with those made by the developed system were conducted. The experimental results showed that the deviations for N $O_3$$^{[-10]}$ , and P $O_4$$^{3-}$ concentrations of nutrient solution composited by the developed system were -2.36% and -5.15%, respectively.

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Development of a Web-Based Solution Builder for Three-Step Decision Support System

  • Hwang, Heung-Suk
    • Industrial Engineering and Management Systems
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    • v.1 no.1
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    • pp.58-63
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    • 2002
  • Recently a new multi-attribute analysis method is one of the evident areas of important points in the decision support system analysis. The area of decision support system may be broken into three primary area: idea generation, multi-attribute structured analysis method, and the integration of the results of analysis. This research developed an internet/intranet-based solution builder for a three-step decision support system in the view of 1) brainstorming for the idea generation, 2) analytic hierarchy process as a multi-attribute structured analysis method and 3) aggregating logic model to integrate the results of individual analysis. A computer program is developed and demonstrated in internet/intranet-based decision problem. This solution builder provides decision makers a good tool for remote group decision making.

A Study of Custom Embroidered Souvenir Manufacturing System Development (맞춤형 자수기념품 제작시스템 개발에 관한 연구)

  • Jang, Saeyeob;Kim, Taejoo;Shin, Junhee;Jeong, Eunjin
    • Journal of Institute of Convergence Technology
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    • v.3 no.2
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    • pp.45-49
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    • 2013
  • Instant custom embroidered souvenir manufacturing system was studied. Recently customers want to get individually specialized souvenir. We present a modular manufacturing system and implementation of image processing, conversion of punching data. The manufacturing system consist of main module, photographing module and U/I module. We can change the system easily through modularization. Image Processing was necessary for making punching data. We developed sketch typed image processing and image processing which used brightness. Brightness type is suitable for instant embroidered souvenir. This study showed that fusion of embroidery technology and image processing technology can make a new business successfully.

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Development of High Efficiency Cycle by Combining Double-Effect with Single-Effect Absorption Chiller Systems (이중 효용과 일중 효용을 복합한 다단 재생 고효율 흡수식 냉동 사이클 개발)

  • Yun, Sang Kook
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.29 no.7
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    • pp.360-365
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    • 2017
  • Recently, development efforts of triple-effect absorption chiller have been increased in order to improve the efficiency of double-effect absorption chiller. However, triple-effect absorption chiller has some disadvantages, including high corrosion characteristic of LiBr solution at high temperature of $200^{\circ}C$. Moreover, it is necessary to develop new components for operation under high pressure of 2 bars even though COP is increased to 1.6 or 1.7. The objective of this study was to introduce a new system by combining double effect absorption chiller with single effect absorption chiller with multi-generators using bypass flow of LiBr dilute solution to $3^{rd}$ generator to overcome the disadvantages of triple-effect chiller and improve energy efficiency. Results indicate that the new absorption cycle had a much higher efficiency than double-effect chiller system, showing significant improvement when bypass solution flow rate of 25% was applied to the $3^{rd}$ generator using the main dilute solution of the absorber. The COP of the new chiller system was found to be 1.438, which was 21.7% higher than that (1.18) of the present double-effect system. The COP was decreased when solution by-pass rate to the $3^{rd}$ generator was increased. In addition, lower cooling water temperature caused higher COP. Therefore, the multi-generator system with by-pass solution might be an excellent chiller alternative to triple-effect absorption chiller with higher efficiency.