• Title/Summary/Keyword: Energy Equation

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Performance Ratings According to Characteristics of Thermosyphon Solar Hot Water System (자연대류형 태양열온수기의 특성별 성능평가에 관한 연구)

  • Kang, Y.H.;Kwak, H.Y.;Yoo, C.G.;Yoon, H.G.;Kang, M.C.;Lee, D.G.
    • Solar Energy
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    • v.20 no.2
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    • pp.9-17
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    • 2000
  • To obtain thermal performance data, an experiment was performed with the two selected thermosyphon systems. The system parameters obtained by experimental data were used to perform TRNSYS simulation and verified TRNSYS model of thermosyphon solar hot water system. The thermosyphon solar hot water system was TYPE 145 which is modified from non-linear model. This model can describe heat exchange type and non-linear efficiency equation. It is possible to analyze the annual energy rate with efficiency equation and system specification. In this paper, we could compare the annual performance of the coil heat exchanger with that of the tank-in-tank heat exchanger. Under the same efficiency and parameter, heat exchange, drain, initial tank temperature, ratio of tank volume over collector area(V/Ac), regional annual performance rating were performed.

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BLOW-UP OF SOLUTIONS FOR WAVE EQUATIONS WITH STRONG DAMPING AND VARIABLE-EXPONENT NONLINEARITY

  • Park, Sun-Hye
    • Journal of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.633-642
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    • 2021
  • In this paper we consider the following strongly damped wave equation with variable-exponent nonlinearity utt(x, t) - ∆u(x, t) - ∆ut(x, t) = |u(x, t)|p(x)-2u(x, t), where the exponent p(·) of nonlinearity is a given measurable function. We establish finite time blow-up results for the solutions with non-positive initial energy and for certain solutions with positive initial energy. We extend the previous results for strongly damped wave equations with constant exponent nonlinearity to the equations with variable-exponent nonlinearity.

A Review on Electrochemical Model for Predicting the Performance of Lithium Secondary Battery (리튬이차전지 성능 모사를 위한 전기화학적 모델링)

  • Yang, Seungwon;Kim, Nayeon;Kim, Eunsae;Lim, Minhong;Park, Joonam;Song, Jihun;Park, Sunho;Appiah, Williams Agyei;Ryou, Myung-Hyun;Lee, Yong Min
    • Journal of the Korean Electrochemical Society
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    • v.22 no.1
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    • pp.43-52
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    • 2019
  • As the application area of lithium secondary batteries becomes wider, performance characterization becomes difficult as well as diverse. To address this issue, battery manufacturers have to evaluate many batteries for a longer period, recruit many researchers and continuously introduce expensive equipment. Simulation techniques based on battery modeling are being introduced to solve such difficulties. Various lithium secondary battery modeling techniques have been reported so far and optimal techniques have been selected and utilized according to their purpose. In this review, the electrochemical modeling based on the Newman model is described in detail. Particularly, we will explain the physical meaning of each equation included in the model; the Butler-Volmer equation, which represents the rate of electrode reaction, the material and charge balance equations for each phase (solid and liquid), and the energy balance. Moreover, simple modeling processes and results based on COMSOL Multiphysics 5.3a will be provided and discussed.

Uncertainty of Efficiency Equation of Solar Thermal Collectors (태양열 집열기 효율식의 불확도)

  • Lee, Kyoung-Ho;Lee, Soon-Myung
    • 한국신재생에너지학회:학술대회논문집
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    • 2010.11a
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    • pp.65.1-65.1
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    • 2010
  • Thermal performance tests of solar thermal collectors include determination of coefficient parameters in an efficiency equation. The parameters can be estimated using regression method to minimize an objective function as sum of differences between measured efficiency data and regressed efficiency equation. However, this conventional approach doesn't consider measurement uncertainties. In this presentation, a method to determine regression parameters in the efficiency equation and uncertainties of the parameters is described with mainly mathematical expressions based on literature reviews. In the method, parameters in the equation for collector efficiency can be determined using regression analysis with a weighting factor in the objective function. The weighting factor can be uncertainties of the differences between measured and fitted efficiencies. To evaluate the approach, performance estimation of a solar collector using the efficiency equation with uncertainties is compared to the result using the conventional efficiency equation by a simulated way for a case in one of previous studies.

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STUDIES ON THE NUTRIENT REQUIREMENTS OF KOREAN NATIVE CATTLE I. EFFECT OF ENERGY LEVELS ON PERFORMANCE AND ENERGY INTAKE OF GROWING AND FINISHING KOREAN NATIVE CATTLE

  • Ahn, B.H.;Ahn, D.W.
    • Asian-Australasian Journal of Animal Sciences
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    • v.2 no.2
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    • pp.59-66
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    • 1989
  • Growing and finishing Korean native bulls were used to investigate the effects of different dietary energy levels on performance and energy intake. Experimental observations were made over three weight categories (200 to 250 kg, 250 to 350 kg and 350 to 450 kg). Three diets (2.4, 2.6 and 2.8 Mcal ME/kg DM) were used for each weight category. Crude protein levels of the diets were 12, 11 and 10% for the respective weight groups. Dietary energy level did not significantly affect daily body gain within a weight range but daily body gain during the entire experiment was higher (P<.05) in bulls receiving 2.6 Mcal energy diet than in those fed 2.4 and 2.8 Mcal energy diets. The following equation was developed to predict daily body gain(Y) from energy levels(X) of ration. $Y\;=\;1.3.475X\;-\;2.5949X^{2}\;-\;16.355$ Increasing energy levels significantly (P<.05) decreased daily feed intake. The following equation was developed to predict daily feed intake(Y) from energy levels(X) of ration. $Y\;=\;-30.013X\;+\;5.4401X^{2}\;+\;49.119$ Feed intake per metabolic body size during the entire feeding period ranged from 100.9 to 110.8 g and was lower in bulls fed 2.6 and 2.8 Mcal energy diets than in those fed 2.4 Mcal energy diet. Increasing energy levels significantly (P<.05) improved feed efficiency. The following equation was developed to predict feed efficiency(Y) from energy levels(X) of ration. $Y\;=\;-118.34X\;+\;22.448X^{2}\;+\;162.85$ Daily energy intake during the entire experiment ranged from 18.90 to 19.99 Mcal and there was no significant difference among energy levels. Daily energy intake per metabolic body size during the feeding period ranged from 248.6 to 260.8 kcal and was slightly higher in bulls receiving 2.8 Mcal than in those fed 2.4 and 2.6 Mcal energy diets. Energy required per kg body gain ranged from 17.25 to 19.11 Mcal and was slightly lower in bulls receiving 2.6 Mcal energy diet than in those fed 2.4 and 2.8 Mcal energy diets.

Reconstruction of Thermodynamics by the Concept of Available Energy (II) - Thermodynamics of Real World - (가용 에너지에 의한 열역학의 재구성 (II) - 실제세계 열역학 -)

  • Jung, Pyung-Suk
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.12
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    • pp.1573-1581
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    • 2004
  • Thermodynamic principles are described with a new point of view. In present study, the interaction between two systems is focused instead of the behavior of a system in conventional thermodynamics. The state change of a system cannot occur by itself but it is the result of the interaction between systems. However, the interaction itself is also the result of another kind of interaction, the interaction between two interactions. To reconstruct thermodynamics with such a point of view, the reversible world is imagined, in which conservations and measurements are discussed. There exists a conserved quantity for each mode of reversible interaction. The conserved transferring quantity in the interaction between interactions is the effective work, which is supposed to be measurable and conserved in reversible world. Effective work is the primary concepts of energy. It is the key factor to explain measurements, energy conservation and energy dissipation. The concepts developed in reversible world are applied to the real world in which irreversible phenomena may occur. Irreversibility is the result of effective energy dissipation, in which effective work irreversibly changes into entropy. A quantitative relation between the disappearing effective work and the generated entropy is dissipation equation which is given by experiments. A special temperature scale to give a very simple type of the dissipation equation is the absolute temperature scale, which gives the conventional conservation of energy.

Temperature Dependence of Energy Gap and Thermodynamic Function Properties of Undoped and Co-doped $Cd_{4}GeSe_{6}$ Sing1e Crystals by Chemical Transport Reaction Method (화학수송법으로 성장한 $Cd_4GeSe_{6}$$Cd_{4}GeSe_{6}$ : $CO^{2+}$ 단결정에서 에너지 띠 간격의 온도의존성 및 열역학함수 추정)

  • Kim, Nam-Oh;Kim, Hyung-Gon;Kim, Duck-Tae;Hyun, Seung-Cheol;Oh, Gum-Kon
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.52 no.2
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    • pp.85-90
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    • 2003
  • In this work $Cd_{4}GeSe_{6}$ and $Cd_{4}GeSe_{6}$ : $Co^{2+}$ single crystals were grown by the chemical transport reaction method and the structure of $Cd_{4}GeSe_{6}$ and $Cd_{4}GeSe_{6}$ : $Co^{2+}$ single crystals were monoclinic structure. The temperature dependence of optical energy 9ap was fitted well to Varshni equation. Also, the entropy, enthalpy and heat capacity were deduced from the temperature dependence of optical energy gap.

Mass and Heat Transfer Characteristics of Vertical Flat Plate with Free Convection

  • Kim Myoung- Jun
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.7
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    • pp.729-735
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    • 2005
  • This paper has dealt with the characteristics of mass and heat transfer of vertical flat plate with free convection. The theory of similarity transformations applied to the momentum and energy equations for free convection. To derive the similarity equation of mass transfer. the equation for conservation of species was added to the continuity. momentum and energy equations. The momentum, energy and species equations set numerically to obtain the velocity, temperature and mass fraction of species as dimensionless. For cases where momentum transport dominates, the thermal boundary layers are shorter than the momentum boundary layer. The relationships between momentum, energy and species were clarified from this study.

A Study on latent heat storage system with Solar heat(Part 1. Development of PCM modeling) (태양열을 이용하는 잠열축열 시스템에 관한 연구(제1보 PCM 계산 모델의 개발))

  • Ku, H.G.;Kim, J.R.
    • Journal of the Korean Solar Energy Society
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    • v.21 no.4
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    • pp.47-54
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    • 2001
  • This study has been conducted to verify the possibility of adaptation of a latent storage type air-conditioning system, shifting the peak load of electronic power to a building. In this paper, an energy equation to evaluate performance of PEM(phase change material) has been suggested and solved, after discretization. As a result, it is confirmed that the results from the energy equation are correspond with those from present studies to analysis of one-dimensional solidification and to analysis of two-dimensional solidification.

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Fixed-Grid Simulation of Convection-Dominated Melting in a Rectangular Cavity

  • Wongee Chun;Kim, Sin;Kim, Min-Chan
    • Journal of Mechanical Science and Technology
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    • v.15 no.6
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    • pp.796-803
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    • 2001
  • Numerical solutions for the convection-dominated melting in a rectangular cavity are presented. The enthalpy-porosity model is employed as the mathematical model. This model is applied in conjunction with the EIT method to detect boundary movement in a phase changing environment. The absorption and evolution of latent heat during the phase change is dealt with by the enthalpy-based energy equation. This seems to be more efficient than resolving the temperature-based energy equation. The velocity switch-off, which is required when solid changes into liquid, is modeled by the porous medium assumption. For efficiency and simplicity of the solutions procedure, this paper proposes a simple algorithm, which iterates the temperature and the liquid fraction of the cells comprising the front layer. The numerical results agree reasonably well with the experimental data and other previous works using the transformed-grid system.

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