• Title/Summary/Keyword: 수학적 열 모델링

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수학적 모델링을 통한 학습지도

  • Lee, Gi-Yeol;Lee, Byeong-Su
    • Communications of Mathematical Education
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    • v.9
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    • pp.187-201
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    • 1999
  • 본 논문에서는 사회적 구성주의(social constructivism) 관점에서 고등학교 수준에서의 수학적 모델링 (mathematical modelling) 자료를 개발, 적용, 활용함으로써 학교수학과 실생활 문제를 관련시켜 학생 스스로 관찰 ${\cdot}$ 해석 ${\cdot}$ 사고 ${\cdot}$ 분석하여 구조화하는 고차원적인 인지능력의 형성과 문제 해결력을 배양할 수 있는 학습방법을 고찰한다.

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Mathematical modeling and numerical simulation studies for falling film type absorber in ammonia absorption heat pump (암모니아 흡수식 열펌프의 Falling Film Type 흡수기에 대한 수학적 모델링 및 수치모사에 관한 연구)

  • Lee, Chan Ho;Kim, Sung Hyun;Hyun, Jae Chun
    • Clean Technology
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    • v.7 no.2
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    • pp.151-159
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    • 2001
  • Mathematical modeling and numerical simulation studies have been conducted for a falling film type absorber of the ammonia absorption heat pump. A rigorous absorber model has been developed by considering temperature effects on physical properties and its predictability proved far superior to that of existing models, which has been confirmed by the experimental data. Using the developed model, effects of cooling water condition - temperature and flow rate - on the efficiency of absorber has been examined. As the result of simulation, the efficiency of absorber has increased as the cooling water temperature has decreased and flow rate has increased.

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Dynamic modeling of the hydraulic-thermal behavior of the buried pipe network for district heating (지역난방용 지중매설 배관망 네트워크 열-유체 동적 거동 모델링)

  • Lee, Jeongbin;Yi, Jun Young;Kim, Lae-Hyun;Shin, Chee Burm
    • Journal of Energy Engineering
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    • v.21 no.2
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    • pp.144-151
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    • 2012
  • A district heating system produces thermal energy and supplies it to a large region. District heating systems can provide higher efficiencies and better pollution control than localized boilers. The heat generated by a district heating system is distributed to the customer via a network of insulated pipes. For the optimal operation of a district heating system, it is important to predict the distributions of pressure, flow rate and temperature of heating fluid within the network of pipes at various operating conditions. In this work, a mathematical modeling was performed to predict the dynamic hydraulic-thermal behaviors of heating fluid in the network of pipes for a district heating system. The mathematical model accounts for the conservations of mass, momentum and energy. In order to verify the validity of modeling, the modeling results were compared with the monitoring data of Gang-nam Branch of District Heating.

A CONSIDERATION OF MATHEMATICAL THERMAL MODELING OF BIPROPELLANT PROPULSION SYSTEM (이원추진제 추진시스템 수학적 열 모텔링 고찰)

  • Chae, J.W.;Han, C.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.163-165
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    • 2007
  • The authors have reviewed many mathematical thermal mode lings of bipropellant propulsion system in literatures to gather basic data for developing a computer program which analyses the performance of bipropellant propulsion system. In this paper COMS and its propulsion system is briefly introduced for understanding. The set of first order nonlinear differential equations is reviewed and considered as candidate equations for the program development.

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Time Series Perturbation Modeling Algorithm : Combination of Genetic Programming and Quantum Mechanical Perturbation Theory (시계열 섭동 모델링 알고리즘 : 운전자 프로그래밍과 양자역학 섭동이론의 통합)

  • Lee, Geum-Yong
    • The KIPS Transactions:PartB
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    • v.9B no.3
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    • pp.277-286
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    • 2002
  • Genetic programming (GP) has been combined with quantum mechanical perturbation theory to make a new algorithm to construct mathematical models and perform predictions for chaotic time series from real world. Procedural similarities between time series modeling and perturbation theory to solve quantum mechanical wave equations are discussed, and the exemplary GP approach for implementing them is proposed. The approach is based on multiple populations and uses orthogonal functions for GP function set. GP is applied to original time series to get the first mathematical model. Numerical values of the model are subtracted from the original time series data to form a residual time series which is again subject to GP modeling procedure. The process is repeated until predetermined terminating conditions are met. The algorithm has been successfully applied to construct highly effective mathematical models for many real world chaotic time series. Comparisons with other methodologies and topics for further study are also introduced.

Modified Mathematical Modelling of Love and its Behaviour Analysis (수정된 사랑의 수학적 모델링과 그 거동 해석(1))

  • Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.9 no.12
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    • pp.1441-1446
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    • 2014
  • Love which is one of the emotional of mankind, has been studied in sociology and psychology as a matter of grate concern. In this paper we propose a modified romantic behaviors by using basic the love equation of Romeo and Juliet. We represent the behaviors using time series and phase portrait when we vary the parameter in the modified love equation. Also we analyze the behavior's relation by using time series and phase portraits when external force applied as the third person between Romeo and Juliet.

Numerical approach for comparative performance study of tube type and box type hybrid photovoltaic/thermal system (시뮬레이션을 통한 박스형과 튜브형 태양광열 복합 시스템의 성능 분석)

  • Bhattarai, Sujala;Kim, Dae-Hyun
    • Journal of the Korean Solar Energy Society
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    • v.31 no.5
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    • pp.9-18
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    • 2011
  • 태양광열 복합 시스템(photovoltaic/thermal hybrid solar system, PV/T)은 태양광 모듈 및 태양열 집열판의 단일화를 통한 전기 및 열에너지의 동시 생산이 가능하도록 구성되고 기존 태양광 모듈의 온도 상승에 따른 효율 저하의 문제점을 보완 및 발생하는 열을 회수하여 온수 생산이 가능한 장치이다. 본 연구에서는 액체형 PV/T 시스템의 대표적인 두 형태인 박스형과 튜브형의 성능 검증을 위하여 수학적 모델링을 통한 두 시스템의 열 및 전기적 성능을 비교 분석하였다. 모델링은 에너지 평형식을 이용하여 시간에 따른 각 부분의 온도의 변화를 예측할 수 있도록 수립되었으며 계산된 결과를 기준으로 전기, 열, 및 전체효율을 도출해 내고, 이를 바탕으로 두 시스템의 성능을 분석하였다. 시뮬레이션 결과를 바탕으로, 박스형 PV/T 시스템의 최고 온수 온도는 $52^{\circ}C$로 예측되었고, 반면에 튜브형은 $48^{\circ}C$에 머물렀다. 또한 열효율은 박스형이 최대 51%, 튜브형이 41%, 전기효율은 박스형이 약 14%, 그리고 튜브형이 13%로 나타났으며, 전체효율은 박스형이 73%, 그리고 튜브형이 64%로 나타나 박스형 PV/T 시스템이 튜브형보다 더 나은 성능을 가지는 것으로 예측되었다. 이는 박스형이 튜브형보다 태양광 모듈과 온수와의 접촉면적이 넓어 더 많은 열전달이 발생하기 때문으로 사료된다.

Mathematical Modelling of Love and its Nonlinear Analysis (사랑의 수학적 모델링과 거동 해석)

  • Kim, Soon-Whan;Shon, Young-Woo;Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.9 no.11
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    • pp.1297-1304
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    • 2014
  • Love which is one of the emotional of mankind, has been studied in sociology and psychology as a matter of grate concern. In this paper We represent romantic behaviors in the love equation of Romeo and Juliet as time series and phase portraits. Also we analyze the behavior's relation by using time series and phase portraits when external force applied as the third person between Romeo and Juliet.

Mathematical Modelling and Behavior Analysis of Addiction of Physical Exercise (운동 중독의 수학적 모델링과 거동 해석)

  • Bae, Young-Chul
    • Journal of the Korean Institute of Intelligent Systems
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    • v.24 no.6
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    • pp.615-621
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    • 2014
  • The Addiction problems have been became a social problem; the social efforts continue to solve these problems. One of those efforts, we need to establish a mathematical modeling for an addictive model to perform analysis of behavior by using this modeling. We need to process the research that can be judged before and after addictive status with result of the behavior analysis. We have to process an observation of transition from before to after addictive status. According to those necessary, this paper proposed the physical exercise model that is composed by novel second order system, which consisted of Spring-Damper-Mass system with equivalence in order to evolve an addictive equation for physical exercise. This paper also is analyzed by the behaviors for those the addictive equation of physical exercise.

열응력을 받는 고분자 복합 물질의 열거동 메커니즘 규명에 대한 연구

  • Jeong, Gi-Ho;Park, Chang-Sik;Kim, Min-Ju;Byeon, Hyang-Eun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2009.11a
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    • pp.11-11
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    • 2009
  • 본 연구는 MLCC 제조공정중 그린상태에서의 강도를 유지하기 위한 고분자 바인더의 거동을 예측하고, 제조공정중 나타난 가열후 수축 현상을 규명하고자 하였다. 이를 위해 메커니즘에 대한 가설을 수립하고 이를 여러가지 분석기법과 컴퓨터 시뮬레이션을 통해 확인하였으며, 현장의 제조기술 부문에서 용이하게 사용할 수 있도록 간단한 수학적 모델링으로 표현하였다. 수학적 모델링은 제품을 이용한 실험과 비교하여 정확도를 검증하였으며, 이러한 해석기법은 대표체적요소(representative volume element)을 이용하여 MLCC 그린바 (Bar)의 해석까지 가능하도록 응용범위를 향상시켰다.

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