• Title/Summary/Keyword: heat equation

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A Study on the Optimum Design of Warm-up rate in a Air-Heated Heater System by Using CFD Analysis and Taguchi Method (전산유체해석과 다구찌 방법을 연계한 공기 가열식 히터 시스템의 난방속효성 최적화에 관한 연구)

  • Kim, Min-Ho
    • Transactions of the Korean Society of Automotive Engineers
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    • v.13 no.2
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    • pp.72-82
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    • 2005
  • The objective of this paper is to describe the optimization of design parameters in a large-sized commercial bus heater system by using CFD(computational fluid dynamics) analysis and Taguchi method. In order to obtain the best combination of each control factor which results in a desired performance of heater system, the parameter design of the Taguchi method is adopted for the robust design considering the dynamic characteristic. The research activity may be divided into four phases. The first one is analyzing the problem, i.e., ascertaining the influential factors. In the second phase the levels were set in such a way that their variation would significantly influence the response. In the third phase the experimental runs were designed. In the final phase the planned runs were carried out numerically to evaluate the optimal combination of factors which is able to provide the best response. In this study, eight factors were considered for the analysis: one with two level and seven with three level combinations comprising the $L_{18}(2^1{\times}3^7)$ orthogonal array. The results of this study can be summarized as follows ; (i)The optimum condition of control factor is a set of <$A_2\;B_1\;C_3\;D_3\;E_1\;F_2\;G_3\;H_2$> where A is shape of the outer fin, B is pitch of the outer fin, C is height of the outer fin, D is the inner fin number, E is the inner fin height, F is length of the flame guide, G is diameter of the heating element and H is clearance between air guide and heating element. (ii)The heat capacity of heated discharge air under the optimum condition satisfies the equation y=0.6M w here M is a signal factor. (iii)The warm-up rate improves about three times, more largely as com pared with the current condition, which results in about 9.2minutes reduction.

Sensitivity Test of the Parameterization Methods of Cloud Droplet Activation Process in Model Simulation of Cloud Formation (구름방울 활성화 과정 모수화 방법에 따른 구름 형성의 민감도 실험)

  • Kim, Ah-Hyun;Yum, Seong Soo;Chang, Dong Yeong
    • Atmosphere
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    • v.28 no.2
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    • pp.211-222
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    • 2018
  • Cloud droplet activation process is well described by $K{\ddot{o}}hler$ theory and several parameterizations based on $K{\ddot{o}}hler$ theory are used in a wide range of models to represent this process. Here, we test the two different method of calculating the solute effect in the $K{\ddot{o}}hler$ equation, i.e., osmotic coefficient method (OSM) and ${\kappa}-K{\ddot{o}}hler$ method (KK). To do that, each method is implemented in the cloud droplet activation parameterization module of WRF-CHEM (Weather Research and Forecasting model coupled with Chemistry) model. It is assumed that aerosols are composed of five major components (i.e., sulfate, organic matter, black carbon, mineral dust, and sea salt). Both methods calculate similar representative hygroscopicity parameter values of 0.2~0.3 over the land, and 0.6~0.7 over the ocean, which are close to estimated values in previous studies. Simulated precipitation, and meteorological variables (i.e., specific heat and temperature) show good agreement with reanalysis. Spatial patterns of precipitation and liquid water path from model results and satellite data show similarity in general, but on regional scale spatial patterns and intensity show some discrepancy. However, meteorological variables, precipitation, and liquid water path do not show significant differences between OSM and KK simulations. So we suggest that the relatively simple KK method can be a good alternative to the OSM method that requires various information of density, molecular weight and dissociation number of each individual species in calculating the solute effect.

A Study on Utilization Ratio and Operation of Transmission Lines (송전선로의 이용률 평가 및 합리적 운영에 관한 연구)

  • Kim, Dong-Min;Bae, In-Su;Cho, Jong-Man;Kim, Jin-O
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.55 no.10
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    • pp.426-432
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    • 2006
  • This paper describes the concepts of Static Line Rating (SLR) and Dynamic Line Rating (DLR) and the computational methods to demonstrate them. Calculation of the line capacity needs the heat balance equation which is also used for computing the reduced tension in terms of line aging. SLR is calculated with the data from the worst condition of weather throughout the year. Even now, the utilization ratio is obtained from this SLR data in Korea. DLR is the improved method compared to SLR. A process for DLR reveals not only improved line ratings but also more accurate allowed line ratings based on line aging and real time conditions of weather. In order to reflect overhead transmission line aging in DLR, this paper proposes the method that considers the amount of decreased tension since the lines have been installed. Therefore, the continuous allowed temperature for remaining life time is newly acquired. In order to forecast DLR, this paper uses weather forecast models, and applies the concept of Thermal Overload Risk Probability (TORP). Then, the new concept of Dynamic Utilization Ratio (DUR) is defined, replacing Static Utilization Ratio (SUR). For the case study, the two main transmission lines which are responsible for the north bound power flow in the Seoul metropolitan area are chosen for computing line rating and utilization ratio. And then line rating and utilization ratio are analyzed for each transmission line, so that comparison of the present and estimated utilization ratios becomes available. Finally, this paper proves the validity of predictive DUR as the objective index, with simulations of emergency state caused by system outages, overload and so on.

Model Development of Spray Dryer Absorber FGD Process (Spray Dryer Absorber 배연탈황공정의 모델 개발)

  • Jang, Sun-Hee;Oh, Eui-Kyung;Lee, Hyung-Keun;Kim, Sun-Geon
    • Clean Technology
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    • v.2 no.1
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    • pp.80-95
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    • 1996
  • A mathematical model has been developed for simulating the spray dryer absorber (SDA) used in semi-dry flue gas desulfurization process. Fundamental equations include the component mass and heat balances in both gas and droplet phases and the equation of motion for a single droplet. The model developed described the pilot-plant data much better than the existing SPRAYMOD-M model. The effect of the process variables, whose values were chosen within the operation limits of the actual pilot plants, on % $SO_2$ removal or conversion of the sorbent were calculated, and discussed in terms of $SO_2$ absorption rate, the residence time of flue gas, the velocity and drying time of droplets. Finally, the % $SO_2$ removal was calculated with two independent process variables and the results were shown on three-dimensional or two-dimensional diagrams with the lines of constant % $SO_2$ removal, so that they can be easily applied to preliminary design of the SDA.

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Change of Microbial Community and Fermentative Production of Hydrogen from Tofu Wastewater (두부 폐수를 이용한 수소생산 및 미생물의 군집 변화)

  • Jun, Yoon-Sun;Joe, Yoon-A;Lee, Tae-Jin
    • Journal of Korean Society of Environmental Engineers
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    • v.31 no.2
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    • pp.139-146
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    • 2009
  • In this study, characteristics of biological hydrogen production and microbial distribution were investigated with the wastewater of Tofu manufacturing process. Comparison of hydrogen production was conducted with acid or base pre-treatment of the wastewater. Maximum hydrogen production was acquired with combination of heat and acid treatment. Hydrogen production ($P_h$) and maximum hydrogen production rate ($R_h$) was calculated 661.01 mL and 12.21 mL/g dry wt biomass/hr from the modified Gompartz equation. Most of microbial community was analyzed as Streptococcus sp. from PCR-DGGE experiment of 16S rDNA. It was concluded that most significant microorganism for hydrogen production was Streptococcus gallolyticus sub sp. in this experiment.

Storage Stability and Shelf Life Characteristics of Korean Savory Sauce Products

  • Yun, Jung-Hyun;Cha, Yong-Jun;Lee, Dong-Sun
    • Preventive Nutrition and Food Science
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    • v.12 no.4
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    • pp.242-250
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    • 2007
  • This study evaluated the storage stability of a variety of sauce products in the Korean market, determined primary quality indices for three typical products, and proposed functional relationships that are useful for determining shelf life at different temperatures. Most of the products examined were found to combine hurdles of low pH, low water activity, and the use of heat processing as methods for producing the required storage stability while maintaining the sensory quality of the products. For a meat extract solution produced for cold noodles (pH=4.3; $a_w=0.98$), the primary quality change determining shelf life was lipid oxidation, determined here by the TBA value. The primary quality index of a soybean paste seasoning mix (pH=4.0; $a_w=0.78$), which had a microbial load of 2.8 log (CFU/g), was a decrease in its pH. The primary quality index for a sandwich spread (pH=4.0; $a_w=0.88$) was changes in its surface color. The temperature dependence of changes in the primary quality indices can be described by the Arrhenius equation, which can estimate the shelf life at any arbitrary limit as a function of temperature. The activation energies for changes in the primary quality indices of the meat extract solution, the soybean paste seasoning, and the sandwich spread were 20.3, 27.2, and 43.5 kJ/mol, respectively.

Optimal design of binary current leads cooled by cryogenic refrigerator (극저온 냉동기로 냉각되는 이중전류도입선의 최적설계)

  • Song, S.J.;Chang, H.M.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.9 no.4
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    • pp.552-560
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    • 1997
  • Analysis is performed to determine the optimal lengths or cross-sectional areas of refrigerator-cooled current leads that can be applied to the conduction-cooled superconducting systems. The binary current lead is composed of the series combination of a normal metal at the upper(warm) part and a high $T_c$ superconductor(HTS) at the lower(cold) part. The heat conduction toward the cold end of HTS part constitutes a major refrigeration load. In addition, the joint between the parts should be cooled by a refrigerator in order to reduce the load at the low end and maintain the HTS part in a superconducting state. The sum of the work inputs required for the two refrigeration loads needs to be minimized for an optimal operation. In this design, three simple models that depict the refrigeration performance as functions of cooling temperature are developed based on some of the existing refrigerators. By solving one-dimensional conduction equation that take into account the temperature-dependent properties of the materials, the refrigeration works are numerically calculated for various values of the joint temperature and the sizes of two parts. The results show that for given size of HTS, there exist the optimal values for the joint temperature and the size of the normal metal. It is also found that the refrigeration work decreases as the length of HTS increases and that the optimal size of normal metal is quite independent of the size of HTS. For a given length of HTS, there is an optimal cross-sectional area and it increases as the length increases. The dependence of the optimal sizes on the refrigerator models employed are presented for 1kA leads.

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Enthalpy Changes of Adsorption of Tetrafluorocarbon (CF4) and Hexafluoroethane (C2F6) on Activated Carbon

  • Shin, Jiyoung;Suh, Sung-Sup;Choi, Moon Kyu
    • Clean Technology
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    • v.20 no.1
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    • pp.22-27
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    • 2014
  • Under low pressures of $CF_4$ and $C_2F_6$ up to 20.7 kPa, the equilibrium adsorbed quantity on activated carbon was experimentally examined using the volumetric method at various temperatures between 293.15 K and 333.15 K. To give the best fit to the experimental data curve, the two step model (i.e., Langmuir model for the first layer adsorption and then Freundlich physisorption) is suggested. The method of initial slope yielded the enthalpy of adsorption for the first step while we could apply the Clausius-Clapeyron equation to find the heat of adsorption of the second step. They are 25.9 kJ/mol and 11.8 kJ/mol, respectively, with $CF_4$, and 38.7 and 38.2 kJ/mol with $C_2F_6$.

Mathematical Modeling and Simulation for Steady State of a 75-ton Liquid Propellant Rocket Engine (75톤급 액체로켓엔진 정상상태 과정의 수학적 모델링 및 시뮬레이션)

  • Lee, Kyelim;Cha, Jihyoung;Ko, Sangho;Park, Soon-Young;Jung, Eunhwan
    • Journal of Aerospace System Engineering
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    • v.11 no.5
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    • pp.6-12
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    • 2017
  • This paper deals with mathematical modeling of a 75-ton open-cycle Liquid Propellant Rocket Engine (LPRE) and the steady state simulation based on a nominal operating point. Each component of open-cycle LPRE may be classified into seven major categories using thermodynamics and dynamics characteristics. To simplify the simulation model of LPRE in this paper, we used four govern equations with assuming no heat transfer process. We confirmed the mathematical model of LPRE by using the error ratio and comparing the experiment data and simulation data in steady state, and checked the stability with the linearized model. Finally, we demonstrated the simulation model as compared to the transient response of experimental data.

A Study for Carbon Dioxide Removal Process Using N-Methyl-2-Pyrrolidone Solvent in DME Production Process (DME 생산공정에서 노말 메틸 피로리돈(N-Methyl-2-Pyrrolidone) 용매를 이용한 이산화탄소 제거공정 연구)

  • Jung, Jongtae;Roh, Jaehyun;Cho, Jungho
    • Clean Technology
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    • v.18 no.4
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    • pp.347-354
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    • 2012
  • In this study, simulation works have been performed for the $CO_2$ removal process contained in the DME production process using NMP (N-methyl-2-pyrrolidone) as a solvent. PRO/II with PROVISION release 9.1 at Invensys was used as a chemical process simulator and NRTL activity coefficient model with Henry's law option and Soave-Redlich-Kwong equation of state were used for thermodynamic models. For the determination of the binary interaction parameters in NRTL model, regression works have been performed to match the experimental thermodynamic data. Optimal feed tray location which minimizes the reboiler heat duty was determined.