• Title/Summary/Keyword: Energy Balance Equation

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Evapotranspiration Estimation Study Based on Coupled Water-energy Balance Theory in River Basin

  • Xue, Lijun;Kim, JooCheol;Li, Hongyan;Jung, Kwansue
    • Proceedings of the Korea Water Resources Association Conference
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    • 2018.05a
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    • pp.146-146
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    • 2018
  • Basin evapotranspiration is the result of water balance and energy balance, which is affected by climate and underlying surface characteristics, the process is complex, and spatial and temporal variability is large, the evapotranspiration estimation of river basin is an important but difficult problem in the field of hydrology, over the years, many scholars devoted to the basin actual evapotranspiration estimation and achieved excellent results. We discuss Budyko coupled water-energy balance theory and evaporation paradox, then use the Fu's equation to estimate actual evapotranspiration yearly in different areas with different dryness. The result shows that Fu's equation has high precision for estimating evapotranspiration yearly in our selected study area, and the estimation result has higher precision in the area with high dryness. Then, we propose an improved formula which can be used to estimate actual evapotranspiration monthly. Furthermore, we found that the parameter in the formula reflects general conditions of underlying surface and it is affected by several factors, at last, we tried to propose the calculation formula. The study indicates that Fu's equation provides a reliable method for evapotranspiration estimation in dry regions as well as semi-humid and semi-arid regions, which has great significance for forecasting river basin water resources and inquiring into ecological water requirement.

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Fuel Consumption Rate Calculation Equation and its Application at fewer Boiler (화력발전소 보일러 연료소비량 계산 및 정확성 검증)

  • Jang, Seok-Won;Kim, Jae-Hoo
    • Journal of Energy Engineering
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    • v.14 no.2 s.42
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    • pp.147-152
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    • 2005
  • Calculation equations of fired fuel comsumption rating at boiler can lead from combustion anal-ysis and boiler heat balance using mass & energy conservations. By comparing calculation equation results with those of measurement, we can confirm the deviation of fuel consumption rate, and correction rate, and correction degree, and can also establish the proven technology to apply the equation at the site. We applied fuel rate equation to the operating power plant and recorded $2.4\%\;&\;1.5\%$ of deviation at each coal and oil fired boilers. This range of deviation is regarded as trustable to apply the fuel consumption equation to the actual site.

Determination of shear stiffness for headed-stud shear connectors using energy balance approach

  • Ye, Huawen;Huang, Ruosen;Tang, Shiqing;Zhou, Yu;Liu, Jilin
    • Steel and Composite Structures
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    • v.42 no.4
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    • pp.477-487
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    • 2022
  • The shear stiffness of headed-stud shear connectors has no unified definition due to the nonlinear characteristics of its load-slip relationship. A unified framework was firstly adopted to develop a general expression of shear load-slip equation for headed-stud shear connectors varying in a large parameter range based on both force and energy balance. The pre- and post-yield shear stiffness were then determined through bilinear idealization of proposed shear load-slip equation. An updated and carefully selected push-out test database of 157 stud shear connectors, conducting on studs 13~30mm in diameter and on concretes 30~180 MPa in cubic compressive strength, was used for model regression and sensitivity analysis of shear stiffness. An empirical calculation model was also established for the stud shear stiffness. Compared with the previous models through statistical analysis, the proposed model demonstrates a better performance to predict the shear load-slip response and stiffness of the stud shear connectors.

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.

Simulation of Temperature Behavior in Hydrogen Tank During Refueling Using Cubic Equations of State (3차 상태방정식을 이용한 수소 충전 온도 거동 모사)

  • PARK, BYUNG HEUNG
    • Transactions of the Korean hydrogen and new energy society
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    • v.30 no.5
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    • pp.385-394
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    • 2019
  • The analysis of temperature behavior of a hydrogen tank during refueling is of significance to clarify the safety of the compressed hydrogen storage in vehicles since the temperature at a tank rises with inflow of hydrogen. A mass balance and an energy balance were combined to obtain analytical model for temperature change during the hydrogen refueling. The equation was coupled to Peng-Robinson-Gasem (PRG) equation of state (EOS) for hydrogen. The PRG EOS was adopted after comparison with other four different cubic EOSs. A parameter of the model was determined to fit data from experiments of various inlet flow rates and temperatures. The temperature and pressure change with refueling time were obtained by the developed model. The calculation results revealed that the extent of precooling was more effective than the flow rate control.

Suggestion of Power and Heat Costing for an Energy System (에너지 시스템에 대한 전력 및 열 비용산정)

  • 김덕진
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.15 no.5
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    • pp.360-371
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    • 2003
  • The calculation of each unit cost of productions is very important for evaluating the economical efficiency and deciding the reasonable sale price. In the present, two methods of exergy costing on multiple energy systems are suggested to reduce the complexities of conventional SPECO method and MOPSA method and to improve the calculation efficiency of exergoeconomics. The suggested methods were applied to a gas-turbine cogeneration and the unit costs of the power and the steam energy were calculated as an example. The main points of our methods are the following three. First, one exergetic cost is applied to one cycle or system. Second, the suggested equations are the internal cost balance equation and the production cost balance equation. Third, necessary states in a system are only inlet and exit states of 1ha components producing energy.

Obesity from the viewpoint of metabolic rate (대사량의 측면에서 본 비만)

  • Shin, Sang-Won;Kim, Ho-Jun;Kim, Su-Jin
    • Journal of Korean Medicine for Obesity Research
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    • v.3 no.1
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    • pp.95-105
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    • 2003
  • The obesity is the matter of the energy balance in essential. The energy balance in human body is energy expenditure subtracted from energy intake. The energy intake is mainly supplied by carbohydrates, proteins and lipids in food, and the energy expenditure is composed of basal metabolic rate or resting energy expenditure, physical activity and thermogenesis including diet-induced thermogenesis. The resting energy expenditure is measured by direct calorimetry and indirect calorimetry. Generally we can simply use predictive equation with the variables of weight, height, age and fat-free mass to yield metabolic rate. But there is discrepancy between the estimate and real metabolic rate because the equations can not reflect individuality and environments. The resting energy expenditure is influenced by many factors but the fundamental factor is fat-free mass. We briefly reviewed the concept and evaluation of the energy balance, intake and expenditure, which are important parts in the study of obesity. Finally, we surveyed the correlation between metabolic rate and obesity and suggested applicable herb medication to increase metabolic rate.

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A Study on the AC Arc Model of High Pressure Mercury Discharge (고압 수은방전의 교류 아아크 모델에 관한 연구)

  • Chee, Chol-Kon;Kim, Hoon;Lee, Sang-Woo
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.9
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    • pp.655-659
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    • 1987
  • This study presents a model of the electrical characteristics of the high-pressure mercury vapour arc discharge. Energy balance equation per unit volume of the arc tube is converted into the one per unit length by assuming the parabolic radial temperature distribution and integrating over the cross-section of the tube. Using this energy balance equation, together with the circuit equation and Ohm's law, the arc voltage and current variation for 1 cycle is numerically calculated and a good result is obtained. A simple method to calculate the axis temperature of the arc tube and the radiation output is also presented.

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Determination of electron energy distribution functions in radio-frequency (RF) and microwave discharges (RF/마이크로웨이브 방전에서의 전자에너지 분포함수의 결정)

  • 고욱희;박인호;김남춘
    • Journal of the Korean Vacuum Society
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    • v.10 no.4
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    • pp.424-430
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    • 2001
  • An electron Boltzmann equation is solved numerically to calculate the electron energy distribution functions in plasma discharge which is generated by radio-frequency (RF) and microwave frequency electric field. The maintenance field strengths are determined self-consistently by solving the homogeneous electron Boltzmann equation in the Lorentz approximation expressed by 2nd order differential equation and an additional particle balance equation expressed by integro-differential equation. By using this numerical code, the electron energy distribution functions in argon discharge are calculated in the range from RF to microwave frequency. The influence of frequency of the HF electric field on the electron energy distribution functions and ionization rate are investigated.

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A Modification of Departure from Nucleate Boiling Model Based on Mass, Energy, and Momentum Balance For Subcooled Flow Boiling in Vertical Tubes

  • Sul, Young-Sil;Lee, Kwang-Won;Ju, Kyong-In;Cheong, Jong-Sik;Yang, Jae-Young
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05b
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    • pp.108-113
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    • 1996
  • Several analytical models for the departure from nucleate boiling (DNB) phenomenon have been developed during the last decade. Among these, Chang & Lee's model based on a bubble crowding mechanism is remarkable in the fundamental features characterized as the formulation of mass, energy, and momentum balance equation at thermal-hydraulic conditions leading to the DNB. However, Bricard and Souyri remarked that the assumption of stagnant bubbly layer at the DNB condition is questionable and the signs on the axial projections of the momentum fluxes at the core/bubbly layer interface in the momentum balance equations are erroneous. From this remark, Chang & Lee's model has been re-examined and modified by correcting the erroneous treatments in the momentum balance equations and removing the spurious assumptions. The revised model predicts well the extensive DNB data of water in uniformly heated tubes at low qualities and shows more accurate prediction compared with the original model.

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