• Title/Summary/Keyword: 반응속도모델

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Reactor Sizing for Hydrogen Production from Ethane over Ni Catalyst (니켈 촉매 상에서 에탄으로부터 수소생산을 위한 반응기 사이징)

  • Seong, Minjun;Lee, Kyungeun;Cho, Jung-Ho;Lee, Young-Chul;Jeon, Jong-Ki
    • Clean Technology
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    • v.19 no.1
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    • pp.51-58
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    • 2013
  • In this study, kinetics data was obtained for steam reforming reaction of ethane over the nickel catalyst. The variables of steam reforming reaction were reaction temperature, partial pressure of ethane, and mole ratio of steam and ethane. Parameters for the power rate law kinetic model and the Langmuir-Hinshelwood model were obtained from the kinetic data. Also, sizing of steam reforming reactor was performed by using PRO/II simulator. For the steam reforming reaction of ethane, Langmuir-Hinshelwood model determining the reaction rate by the surface reaction was better suited than a simple power rate law kinetic model. On water-gas-shift reaction, power rate law kinetic model was well fitted to the kinetic data. Reactor size can be calculated for production of hydrogen through PRO/II simulation.

A study on chemical vapor deposition process for the proparation of thin SiC films (실리콘 카바이드 박막 제조를 위한 증착 반응연구)

  • 고준호;우성일
    • Electrical & Electronic Materials
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    • v.4 no.4
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    • pp.344-353
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    • 1991
  • 무정형 SiC 박막을 수평형 CVD반응기로부터 SiH$_{4}$ 및 H$_{2}$를 반응기체로 하여 실리콘 웨이퍼위에 증착시켜 제조하였다. 박막 성장 속도는 상압에서 650.deg.C와 850.deg.C범위에서 측정되었다. 반응기체의 유량은 1000sccm으로 고정하였으며 SiH$_{4}$와 CH$_{4}$의 유량을 변화시켰다. 증착 반응속도식으로 표면 반응이 율속단계인 Eley-Rideal 모델과 SiH$_{4}$와 CH$_{4}$의 종도에 m차로 비례하는 두가지 속도식을 가정하였다. 증착시간에 따른 SiC 박막두께의 측정으로부터 얻은 증착 반응 속도로부터 회귀 분석법에 의하여 두가지 반응속도식의 반응속도 상수를 구하였다. 얻어진 반응속도식에 의해서 계산된 값과 실험치를 비교한 결과 0.15차의 반응속도식이 Eley-Rideal반응기구보다 약산 더 잘 맞음을 알 수 있으나 두 모델 다 약간씩 실험결과와 차이가 나고 있다. 이것은 본 실험의 증착 조건의 율속단계가 확산 단계와 표면 반응 단계의 전이영역 즉 본 실험의 증착조건에서 확산속도와 표면 반응속도가 비슷하기 때문으로 생각된다. 또한 Eley-Rideal 반응기구에서 부터 얻어진 SiH$_{4}$ 및 CH$_{4}$의 흡착평형상수 $K_{s}$$K_{c}$ 값을 비교하면 1000K이하에서는 $K_{s}$$K_{c}$ 보다 큰 값을 가지는데 이것은 Gibbs 자유에너지 최소화 방법에서 구한 결과와 일치하였다.

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Kinetic Study on the Polycondensation Reaction of Bis-hydroxyethyl Naphthalate (Bis-hydroxyethyl Naphthalate의 축중합 반응에 관한 속도론적 연구)

  • 이성진;정성일
    • Polymer(Korea)
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    • v.26 no.4
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    • pp.422-430
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    • 2002
  • The kinetics of polycondensation of bishydroxyethyl naphthalate has been studied in the range of 241 -$260^{\circ}C$ using antimony trioxide catalyst. The reaction was performed in a batch reactor and the concentration of reaction mixture was measured with HPLC. The activation energy values of forward and reverse reaction determined from molecular species model were found to be 19.7 and 31.4 kcal/mole, respectively, and the equilibrium constants were in the range of 1.4-2.0, which were larger than that of polycondensation of PET and varied to some degree with temperature. It was confirmed by applying the Flory's distribution function that the reaction rate of the hyroxyethyl group does not depend on the molecular size. By applying functional group model, we observed that there was few difference between the activation energy of the forward reaction and that of reverse reaction, therefore the equilibrium constant has almost constant value of 1.4. The rate constants obtained from functional group model was about 3-4 times larger than that from molecular species model, which showed that both model explains the reaction system well. Although the molecular species model should predict the concentration of as many as ten molecules, it fits for the experimental results well.

Simulation of Natural Gas and Pulverized Coal Combustion using 93-PCGC-2 (93-PCGC-2을 이용한 천연가스 연소와 미분탄 연소 모사)

  • 조석연;서경원;이진욱
    • Proceedings of the Korea Society for Energy Engineering kosee Conference
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    • 1995.11a
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    • pp.50-55
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    • 1995
  • 향상되어진 93-PCGC-2는 기존의 PCGC-2와 같이 미분탄 연소를 포함하는 다양한 반응성흐름과 비반응성 흐름을 설명하기 위해 2차원 정상상태 모델로 제시되어 졌다. 93-PCGC-2는 실린더형의 축 대칭계에 응용되어질 수 있고, 난류(Turbulence)는 유체역학식과 연소기구 양쪽을 위해 고려되어졌으며, 불연속 세로좌표 방법(Discrete Ordinates Method)을 이용하여 기체, 벽 및 입자들로부터의 복사열(Radiation)을 모사하였다. 입자상은 입자 무리들의 평균 경로들을 따라 해석하는 Lagrangian계의 해석법으로 모델화되어졌다. 석탄의 팽윤(Swelling)과 촤의 반응성에 관한 부모델과 더불어 새롭게 일반화된 석탄 탈휘발화 부모델 (FG-DVC)도 첨가되어졌다. 비균일 반응기구는 확산과 화학반응 둘 모두를 고려하였다. 주요 기상반응은 국부 순간 평형을 가정하여 모델화하였다. 그래서 반응속도는 혼합의 난류속도에 의해 제한되어진다. Thermal NOx과 Fuel NOx의 유한속도 화학론(Finite Rate Chemstry)에 대한 부모델은 화학반응속도론와 난류성의 통계치를 통합하여 만들어져 있다. 기상은 반복적인 line-by-line기교에 의해 풀려지는 elliptic partial differential equation으로 묘사되어진다. 수치적인 안정을 고려하기 위해 under-relaxation이 이용되어졌다. 이렇게 코드화된 93-PCGC-2는 연소를 위해 모사되어졌다. 또한 더 나아가 이 수치모델의 활용범위는 미분탄의 가스화에도 활용되어질 것으로 기대되어진다.

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Diffusion-controlled Cure Kinetics of High Performance Epoxy/Carbon Fiber Composite Systems (확산속도에 따라 한계경화도를 갖는 에폭시/탄소섬유 복합재료의 경화반응 속도 연구)

  • 박인경;금성우;이두성;김영준;남재도
    • Polymer(Korea)
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    • v.24 no.1
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    • pp.105-112
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    • 2000
  • Using a commercial epoxy/carbon fiber composite prepreg (DMS 2224) as a model system, the cure kinetics of vitrifying thermoset system were analyzed by isothermal and dynamic-heating experiments. Focusing on the processing condition of high performance composite systems, a phenomenological kinetic model was developed by using differential scanning calorimetry (DSC) and reaction kinetics theories. The model system exhibited a limited degree of cure as a function of isothermal temperature seemingly due to the diffusion-controlled reaction rates. The diffusion-controlled cure reaction was incorporated in the development of the kinetic model, and the model parameters were determined from isothermal experiments. The first order reaction was confirmed from the characteristic shape of isothermal cure thermograms, and the activation energy wes 78.43 kJ/mol. Finally, the proposed model was used to predict a complex autoclave thermal condition, which was composed of several isothermal and dynamic-heating stages.

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Characteristics and Kinetics of the Addition Reaction of Resol Resin Formation (레졸수지 합성에서 부가반응 특성 및 반응속도론)

  • Ann, Jae-Ok;Nam, Young-Woo
    • Korean Chemical Engineering Research
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    • v.46 no.2
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    • pp.301-309
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    • 2008
  • In this study, the effect of formaldehyde to phenol (F/P) molar ratios, catalyst wt%, and reaction temperature on the chemical structure was studied utilizing a two-level full factorial experimental design. The effect of three variables on the chemical structure was analyzed by using three-way ANOVA of SPSS. Concentration of methyrol-substituted phenols after 300 min addition reaction increased with higher the F/P mole ratio, lower the reaction temperature and lower the catalyst wt%. Resol catalysed by barium hydroxide showed higher addition of formaldehyde onto ortho positions of phenolic rings. A simplified elementary reaction model for resole type phenolic resin formation which do not consider the dissociation of phenolic compounds and the fraction of formaldehyde in the form of methylene glycol was proposed and compared with Zavitsas' type models. Elementary reaction model showed error of 2.79% compared to the error of 3.27% in Zavitsas' type models. It was thought that the elementary reaction model could be used to predict the behavior of addition reaction in resol formation.

Numerical Simulation for Deposition Rate Distribution of AI Film by MOCVD Process (MOCVD법에 의한 AI 박막의 증착속도 분포에 대한 수치모사)

  • Jeong, Won-Yeong;Kim, Do-Hyeon
    • Korean Journal of Materials Research
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    • v.6 no.1
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    • pp.99-105
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    • 1996
  • 본 연구에서는 TIMA를 전구체로 하는 수직형 MOCVD 반응기를 대상으로 수학적 모델을 세우고 컴퓨터에 의한 수치모사를 수행하여 반응기 설계 변수 및 공정조건이 AI의 증착속도와 증착두께 분포에 미치는 영향을 알아보았다. 수학적 모델은 수직형 반응기를 축대칭으로 보아 2차원으로 수립하였으며 반응기내의 운동량전달, 열전달, 물질전달을 포함한다. 이 수학적 모델의 지배 방정식들에 대하여 Galerkin 유한요소법을 적용하여 수치적으로 반응기 내의 유체 흐름 구조, 온도분포와 반응물의 농도 분포를 구하였다. 수치모사 결과 AI의 증착속도는 반응기 압력이 0.47torr, 기판온도가 25$0^{\circ}C$, 유량이 7.5sccm일 경우, 190-230$\AA$/min로 나타났다.

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Kinetics of Catalytic Reactions Occurring in a Small Reaction Volume (작은 반응 매질에서 일어나는 촉매 반응 속도에 관한 연구)

  • Kim, Jung-Han;Sung, Jae-Young
    • Journal of the Korean Chemical Society
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    • v.52 no.3
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    • pp.217-222
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    • 2008
  • We investigate the kinetics of diffusion-influenced catalytic reactions occurring in small reaction volume. From a simple exact model study, we find that the reaction rate coefficient decreases with the size of reaction volume. The explicit expression for the average reaction rate constant is presented, which can be regarded as a generalization of well-known Collins-Kimball rate constant into the reactions occurring in a small reaction volume. It turns out that the traditional diffusion influenced reaction dynamics is followed by a single exponential relaxation phase with a rate constant dependent on the reaction volume for the catalytic reactions occurring in small reaction volumes.

A Study on the Ester Interchange Reaction of Dimethyl Naphthalate with Ethylene Glycol (Dimethyl Naphthalate와 Ethylene Glycol의 에스테르 교환반응에 관한 연구)

  • Sho, Soon-Yong;Cheong, Seong-Ihl
    • Polymer(Korea)
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    • v.25 no.1
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    • pp.25-32
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    • 2001
  • The kinetics of ester interchange reaction of dimethyl naphthalate(DMN) with ethylene glycol(EG) has been studied in the range of 180-200 $^{\circ}C$ using zinc and manganese catalysts. The reaction was performed in a semibatch reactor under nonisothermal condition and the degree of reaction was calculated from experimental data of methanol removal rate and reaction temperature. As a reaction model, both the functional group model and the molecular species model were applied and analysed. In case of zinc catalyst, the ratio of reaction rate of methyl hydroxyethyl naphthalate(MHEN) with EG on that of DMN with EG is about 1.4, whereas in case of manganese catalyst the ratio is about 4.3, which implies that the reaction rate is quite dependent on the type of catalyst. In case of zinc catalyst, the reaction order of catalyst concentration on either DMN or MHEN and EG is less than 1, whereas in case of manganese catalyst, the reaction order is larger than 1. The activation energy for zinc and manganese catalyst, irrespective of the type of molecular species, e.g., DMN and MHEN, were found to be 25000 and 28750 cal/mol, respectively. As a result of comparing two reaction model, the molecular species model fits well for the experimental data.

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A Characterization of Pervaporation-facilitated Esterification Reaction with non-perfect Separation (비완전 막분리시 투과증발 막촉진 에스터화 반응 거동 연구)

  • C. K Yeom;F. U. Baig
    • Membrane Journal
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    • v.13 no.4
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    • pp.268-282
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    • 2003
  • Pervaporation-facilitated esterification with slow reaction regime was characterized by using a practical model based on non-perfect separation through membrane. A non-perfect separation in which the membrane is not perfectly permselective to water was applied to the model. Thus, membrane selectivity and membrane capability to remove water were included in the simulation model to explain how they influence the membrane-facilitated reaction process and improve the reactor performance. It was shown by simulation that in the reaction systems with non-perfect separation, reaction completion can hardly be achievable when any reactant at initial molar ratio=1 or the less abundant reactant at initial molar ratio>1 permeates through membrane, and the permeation of ester accelerates the forward reaction md increase reaction conversion at any instant through removal of product species like water. The volume change causes concentrating both reactants and products that affect the reaction with time in opposite ways; reactant-concentrating effect is dominant during the initial stage of reaction, increasing the reaction rate, and then concentrating product influences more reaction by decreasing the reaction rate.