• Title/Summary/Keyword: Model equations

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A study on teaching the system of numbers considering mathematical connections (수학적 연결성을 고려한 수 체계의 지도에 관한 연구)

  • Chung, Young-Woo;Kim, Boo-Yoon;Pyo, Sung-Soo
    • Communications of Mathematical Education
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    • v.25 no.2
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    • pp.473-495
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    • 2011
  • Across the secondary school, students deal with the algebraic conditions like as identity, inverse, commutative law, associative law and distributive law. The algebraic structures, group, ring and field, are determined by these algebraic conditions. But the conditioning of these algebraic structures are not mentioned at all, as well as the meaning of the algebraic structures. Thus, students is likely to be considered the algebraic conditions as productions from the number sets. In this study, we systematize didactically the meanings of algebraic conditions and algebraic structures, considering connections between the number systems and the solutions of the equation. Didactically systematizing is to construct the model for student's natural mental activity, that is, to construct the stream of experience through which students are considered mathematical concepts as productions from necessities and high probability. For this purpose, we develop the program for the gifted, which its objective is to teach the meanings of the number system and to grasp the algebraic structure conceptually that is guaranteed to solve equations. And we verify the effectiveness of this developed program using didactical experiment. Moreover, the program can be used in ordinary students by replacement the term 'algebraic structure' with the term such as identity, inverse, commutative law, associative law and distributive law, to teach their meaning.

A Study on the Applicability of GSTAR-1D to the Riverbed-Level Variation in the Geum River (GSTAR-1D 모형의 금강 하상변동예측 적용성에 관한 연구)

  • Chung, Sung-Young;Park, Bong-Jin;Jung, Kwan-Sue
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.1611-1615
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    • 2006
  • The purpose of this study is to simulate the riverbed profile changes downstream of Daecheong re-regulation dam from 1988 to 2001, to evaluate the model's applicability and to predict a long-term riverbed-level variation between 2002 and 2017. As a result of simulation 14 sediment transport equations provided by GSTAR-1D, it was found that Acker's & White formula was the most stable relatively. The interval used to calculate its stability was 7 days for bankful discharge$(1,000m^2/s)$, 3 days for daily maximum flow$(4,273m^2/s)$, 1 day for hourly maximum flow$(7,605m^2/s)$ and minimum flow$(8.5m^2/s)$. The simulation results of river bed changes were evaluated and compared to its measure data from 1988 to 2001. It was showed that there was the degradation for a section between Daecheong re-regulation dam and Maepo water stage gage station due to bed-material, and the degradation for a reach between Maepo and Gongju water stage gage station due to massive aggregate collection. Also, as a result of simulating the river profile change for 2002 to 2017, it was predicted that the section between Daecheong re-regulation dam and Geumnam Bridge would remain as the present profile and the reach between Maepo and Gongju water stage gage station would have some degradations in several parts, which would be stable as a whole unless it was due to artificial river profile change.

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Multiscale Modeling and Simulation of Direct Methanol Fuel Cell (직접메탄올 연료전지의 Multiscale 모델링 및 전산모사)

  • Kim, Min-Su;Lee, Young-Hee;Kim, Jung-Hwan;Kim, Hong-Sung;Lim, Tae-Hoon;Moon, Il
    • Membrane Journal
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    • v.20 no.1
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    • pp.29-39
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    • 2010
  • This study focuses on the modeling of DMFC to predict the characteristics and to improve its performance. This modeling requires deep understanding of the design and operating parameters that influence on the cell potential. Furthermore, the knowledge with reference to electrochemistry, transport phenomena and fluid dynamics should be employed for the duration of mathematical description of the given process. Considering the fact that MEA is the nucleus of DMFC, special attention was made to the development of mathematical model of MEA. Multiscale modeling is comprised of process modeling as well as a computational fluid dynamics (CFD) modeling. The CFD packages and process simulation tools are used in simulating the steady-state process. The process simulation tool calculates theelectrochemical kinetics as well as the change of fractions, and at the same time, CFD calculates various balance equations. The integrated simulation with multiscal modeling explains experimental observations of transparent DMFC.

Prediction of Chemical Organic Composition of Manure by Near Infrared Reflectance Spectroscopy

  • Amari, Masahiro;Fukumoto, Yasuyuki;Takada, Ryozo
    • Proceedings of the Korean Society of Near Infrared Spectroscopy Conference
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    • 2001.06a
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    • pp.1265-1265
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    • 2001
  • The organic materials included in excreta of livestock are important resources for organic manure and for improving soil quality, although there is still far from effective using. One reason for this is still unclearly standard of quality for evaluation of manure made from excreta of livestock. Therefore, the objective of this study is to develop rapid and accurate analytical method for analyzing organic compositions of manure made from excreta of livestock, and to establish quality evaluation method based on the compositions predicted by near infrared reflectance spectroscopy (NIRS). Sixteen samples of manure, each eight samples prepared from two treatments, were used in this study. The manure samples were prepared by mixing 560 kg feces of swine,60 kg sawdust with moisture content was adjusted to be 65%. The mixture was then keep under two kinds of shelter, black and clear sheets, as a treatment on the effect of sunlight. Samples were taken in every week (form week-0 to 7) during the process of manure making. Samples were analyzed to determine neutral detergent fiber (NDF), acid detergent fiber (ADF) and acid detergent lignin (ADL) by detergent methods, and organic cell wall (OCW) and fibrous content of low digestibility in OCW (Ob) by enzymatic methods. Biological oxygen demand (BOD) was analyzed by coulometric respirometer method. These compositions were carbohydrateds and lignin that were hardly digested. Spectra of samples were scanned by NIR instrument model 6500 (Pacific Scientific) and read over the range of wavelength between 400 and 2500nm. Calibration equations were developed using eight manure samples collected from black sheet shelter, while prediction was conducted to the other eight samples from clear sheet shelter. Accuracy of NTRS prediction was evaluated by correlation coefficients (r), standard error of prediction (SEP) and ration of standard deviation of reference data in prediction sample set to SEP (RPD). The r, SEP and RPD value of forage were 0.99, 0.69 and 7.6 for ADL, 0.96, 1.03 and 4.1 for NDF, 0.98, 0.60 and 4.9 for ADF, 0.92, 1.24 and 2.6 for Ob, and 0.91, 1.02 and 7.3 for BOD, respectively. The results indicated that NIRS could be used to measure the organic composition of forage used in manure samples.

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Real-time Fluid Animation using Particle Dynamics Simulation and Pre-integrated Volume Rendering (입자 동역학 시뮬레이션과 선적분 볼륨 렌더링을 이용한 실시간 유체 애니메이션)

  • Lee Jeongjin;Kang Moon Koo;Kim Dongho;Shin Yeong Gil
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.1
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    • pp.29-38
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    • 2005
  • The fluid animation procedure consists of physical simulation and visual rendering. In the physical simulation of fluids, the most frequently used practices are the numerical simulation of fluid particles using particle dynamics equations and the continuum analysis of flow via Wavier-Stokes equation. Particle dynamics method is fast in calculation, but the resulting fluid motion is conditionally unrealistic The method using Wavier-Stokes equation, on the contrary, yields lifelike fluid motion when properly conditioned, yet the complexity of calculation restrains this method from being used in real-time applications. Global illumination is generally successful in producing premium-Duality rendered images, but is also excessively slow for real-time applications. In this paper, we propose a rapid fluid animation method incorporating enhanced particle dynamics simulation method and pre-integrated volume rendering technique. The particle dynamics simulation of fluid flow was conducted in real-time using Lennard-Jones model, and the computation efficiency was enhanced such that a small number of particles can represent a significant volume. For real-time rendering, pre-integrated volume rendering method was used so that fewer slices than ever can construct seamless inter-laminar shades. The proposed method could successfully simulate and render the fluid motion in real time at an acceptable speed and visual quality.

Bi-Axial Stress Field Analysis on Shear-Friction in RC Members (2축-응력장 이론을 이용한 철근콘크리트 부재의 전단마찰 해석)

  • Kim, Min-Joong;Lee, Gi-Yeol;Lee, Jun-Seok;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.24 no.1
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    • pp.25-35
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    • 2012
  • For a member subjected to direct shear forces, forces are transferred across interface concrete area and resisted by shear transfer capacity. Shear-friction equations in recent concrete structural design provisions are derived from experimental test results where shear-friction capacity is defined as a function of steel reinforcement area contained in the interface. This empirical equation gave too conservative values for concrete members with large amounts of reinforcement. This paper presents a method to evaluate shear transfer strengths and to define ultimate conditions which result in crushing of concrete struts after yielding of longitudinal reinforcement perpendicular to the interface concrete. This method is based on the bi-axial stress field theory where different constitutive laws are applied in various means to gain accurate shear strengths by considering softening effects of concrete struts based on the modified compression-field theory and the softened truss model. The validity of the proposed method is examined by applying to some selected test specimens in literatures and results are compared with recent design code provisions. A general agreement is observed between predicted and measured values at ultimate loading stages in initially uncracked normal-strength concrete test.

New Design Method of Wireless Power Transfer System Using Loop Antennas (루프 안테나를 이용한 무선 전력 전송 시스템의 새로운 설계법)

  • Kim, Hee-Seung;Won, Do-Hyun;Lim, Jae-Bong;Jang, Byung-Jun
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.21 no.1
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    • pp.36-45
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    • 2010
  • In this paper, we propose a new design method to design a wireless power transfer system using loop antennas for consumer electronics. This method can simply design a wireless power transfer system only using measurements of coupling coefficients and simple equations of equivalent circuit model about loop antennas without complicated electromagnetic analysis. Using the proposed design method, a wireless power transfer system with a pair of loop antennas operating at the frequency of 13.56 MHz, which have a dimension of $50{\times}50\;cm^2$, is designed and implemented. The input return loss, coupling coefficient, efficiency, and input impedance variation with respect to a distance between loop antennas were measured. The proposed design method provides good agreements between measured and predicted results. Also, the wireless power transfer system with impedance matching circuits designed by the proposed design method shows two times higher efficiency characteristics than the case with the general $50\;{\Omega}$ impedance matching circuits. Therefore, we verified that our design method could be an effective tool to design a wireless power transfer system.

Long-term Variations of Troposphere-Stratosphere Mean Meridional Circulation (대류권-성층권 평균자오면순환의 장기변동)

  • Seol, Dong-Il
    • Journal of the Korean earth science society
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    • v.22 no.5
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    • pp.415-422
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    • 2001
  • Studies of atmospheric general circulation in the troposphere and stratosphere are very important to understand the influence of human activities on the global climate and its change. Recently, the existence of an annual cycle in the circulation has been reported by a number of studies. In this study, the residual mean meridional circulation is calculated by the TEM momentum and continuity equations for the period from December 1985 to November 1995 (10 years), and the long-term variations of the circulation and mass fluxes across the 100hPa surface are examined. The multiple regression statistical model is used to obtain quantitatively the long-term variations. This study is focused especially on mean meridional circulation in the troposphere and stratosphere associated with ENSO (El Ni${\tilde{n}}$o-Southern Oscillation) which is known as a cause of the unusual weather, global climate, and its change. The results show that the global scale troposphere-stratosphere mean meridional circulation is intensified during El Ni${\tilde{n}}$o event and QBO (quasi-biennal oscillation) easterly phase and weakened during La Ni${\tilde{n}}$o event and QBO westerly phase. The signal of Mount Pinatubo volcanic eruption in June 1991 is obtained. Due to the volcanic eruption the global scale troposphere-stratosphere mean meridional circulation is abruptly intensified.

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Characteristics of Stabilization and Adsorption of Heavy Metal (As3+, Cr6+) by Modified Activated Carbon (표면 개질 활성탄에 의한 중금속(As3+, Cr6+) 흡착 및 안정화 특성)

  • Shin, Woo-Seok;Na, Kyu-Ri;Kim, Young-Kee
    • Journal of Navigation and Port Research
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    • v.39 no.3
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    • pp.185-192
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    • 2015
  • In this study, the adsorption efficiency of mixed heavy metals in aqueous solution was investigated using modified activated carbon. Moreover, the heavy-metal stabilization treatment of contaminated marine sediment was achieved using modified activated carbon as stabilizing agents. From the experimental results, it was shown that the adsorption equilibrium was attained after 120 mins. Heavy metal adsorption was characterized using Freundlich and Langmuir equations. The equilibrium adsorption data were fitted well to the Langmuir model in modified activated carbon. The adsorption uptake of $As^{3+}$ (28.47 mg/g) was higher than $Cr^{6+}$ (13.28 mg/g). In case of the $Cr^{6+}$, the results showed that adsorption uptake decreased with increasing pH from 6 to 10. However, adsorption of $As^{3+}$ slightly increased in the increasing change of pH. The modified activated carbon was applied for a wet-curing duration of 120 days. From the sequential extraction results, the exchangeable, carbonate, and oxides fractions of Cr and As in sediment decreased by 5.8% and 7.6%, respectively.

Measurement of Convective Heat Transfer Coefficients of Horizontal Thermal Screens under Natural Conditions (온실 스크린의 대류열전달계수 측정)

  • Rafiq, Adeel;Na, Wook Ho;Rasheed, Adnan;Kim, Hyeon Tae;Lee, Hyun Woo
    • Journal of Bio-Environment Control
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    • v.29 no.1
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    • pp.9-19
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    • 2020
  • Convective heat transfer is the main component of greenhouse energy loss because the energy loss by this mechanism is greater than those of the other two components (radiative and conductive). Previous studies have examined the convective heat transfer coefficients under natural conditions, but they are not applicable to symmetric thermal screens with zero porosity, and such screens are largely produced and used in Korea. However, the properties of these materials have not been reported in the literature, which causes selectivity issues for users. Therefore, in this study, three screens having similar color and zero porosity were selected, and a mathematical procedure based on radiation balance equations was developed to determine their convective heat transfer coefficients. To conduct the experiment, a hollow wooden structure was built and the thermal screen was tacked over this frame; the theoretical model was applied underneath and over the screen. Input parameters included three components: 1) solar and thermal fluxes; 2) temperature of the screen, black cloth, and ambient air; and 3) wind velocity. The convective heat transfer coefficients were determined as functions of the air-screen temperature difference under open-air environmental conditions. It was observed from the outcomes that the heat transfer coefficients decreased with the increase of the air-screen temperature difference provided that the wind velocity was nearly zero.