• 제목/요약/키워드: Reaction diffusion equation

검색결과 97건 처리시간 0.026초

Ethyl Silicate로부터 Silicon Nitride의 합성(I) (Synthesis of Silicon Nitride from Ethyl Silicate(I))

  • 오일환;박금철
    • 한국세라믹학회지
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    • 제25권4호
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    • pp.415-423
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    • 1988
  • Mixtures of carbon and silica (about 0.46${\mu}{\textrm}{m}$) which was synthesized by the hydrolysis of ethyl silicate, the molar ratio of silica/carbon was fixed as 1/10(weight ratio : 1/2), were nitrided in the temperature range 135$0^{\circ}C$~150$0^{\circ}C$. The phse of the product Si3N4 was $\alpha$ phase and the morphology was hexagnoal prism and the nitridation reaction was completed in 5 hrs at 150$0^{\circ}C$ or 7hrs at 145$0^{\circ}C$. The reaction rate above 150$0^{\circ}C$ was diffusion-controlled, following Jander equation. Activation energy Q was derived from the Arrhenius plot and the value was about 101kcal/mol. Axis ratio of Lattice constants(c/a) was 0.726 and unit volume was $\AA$3, the larger the molar ratio of carbon/Alkoxide was, the smaller the particle size of $\alpha$Si3N4 was.

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Diethanolamine 수용액에서의 Methyl Mercaptan의 흡수 (Absorption of Methyl Mercaptan into Aqueous Diethanolamine Solutions)

  • 박문기
    • 한국환경과학회지
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    • 제14권12호
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    • pp.1177-1183
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    • 2005
  • The kinetics of the reaction of methyl mercaptan into aqueous diethanolamine were studied over a range in temperature ($20^\~60{\circ}C$) and amine concentrations (0-40 $wt\%$) using a wetted-sphere absorber. The physicochemical properties needed to interpret the data are the solubility and diffusivity of methyl mercaptan in the aqueous diethanolamine solution. The density and the viscosity were obtained and correlated in the experimental range. The Wilke Chang equation was applied to estimate the diffusion coefficient. The enhancement factor was found to be high temperature is below than low temperature. It means the absorption rate with chemical reaction is lower than the physical absorption rate.

튜브형 가열로 반응기를 이용한 초미립 $SiO_2$ 입자의 제조 및 증착에 대한 수치모사 (The Numerical Simulation of Ultrafine $SiO_2$ Particle Fabrication and Deposition by Using the Tube Furnace Reactor)

  • 김교선;현봉수
    • 한국세라믹학회지
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    • 제32권11호
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    • pp.1246-1254
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    • 1995
  • A numerical model for fabrication and deposition of ultrafine SiO2 particles were proposed in the simplified horizontal MCVD apparatus using tube furnace reactor. The model equations such as energy and mass balance equations and the 0th, 1st and 2nd moment balance equations of aerosols were considered in the reactor. The phenomena of SiCl4 chemical reaction, SiO2 particle formation and coagulation, diffusion and thermophoresis of SiO2 particles were included in the aerosol dynamic equation. The profiles of gas temperature, SiCl4 concentration and SiO2 particle volume were calculated for standard conditions. The concentrations, sizes and deposition efficiencies of SiO2 particles were calculated, changing the process conditions such as tube furnace setting temperature, total gas flow rate and inlet SiCl4 concentration.

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아끼바레와 밀양 23호 현미의 수화속도 (Kinetic Studies on Hydration of Akibare and Milyang 23 Brown Rice)

  • 김광중;변유량;조은경;이상규;김성곤
    • 한국식품과학회지
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    • 제16권3호
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    • pp.297-302
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    • 1984
  • 일반계 아끼바레와 다수확계 밀양 23호 현미의 수화과정에서의 특성을 속도론적으로 분석하였다. 현미의 수화는 약18시간 후에 평형에 도달하였다. 현미의 초기수확속도식은 Fick의 단순화한 확산 방정식으로 해석할 수 있었으며 두 품종의 확산 계수는 다음식으로 나타낼 수 있었다. 아끼바레 : $D=2.738{\time}10^{-1}\;{\exp}\;(-9,300/RT)$, 밀양 23호 : $D=4.302{\time}10^{-1}\;{\exp}\;(-9,500/RT)$. 초기 수화과정중 수화에 따른 경도변화는 1차 반응식으로 나타낼 수 있었으며 밀양 23호가 아끼바레보다 약간 빨랐다. 또한 호화온도인 $60{\sim}65^{\circ}C$를 전후로 수화메카니즘에 차이를 나타내었다.

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반무한 확산모델을 이용한 순환전위법의 전산모사에 관한 연구 (A Study on the Computational Simulation of Cyclic Voltammetry using Semi-infinite Diffusion Model)

  • 조하나;김태용;윤도영
    • 전기화학회지
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    • 제14권3호
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    • pp.138-144
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    • 2011
  • 본 연구에서는 순환전위법으로 발생되는 전기화학적 신호를 모사하기 위한 전산프로그램을 구현하여, 전극주변에서 발생하는 전자 및 이온의 전달현상을 해석하였다. 물질확산이 지배적인 계에 대하여 반무한 확산모델과 전극반응만을 고려하여 지배방정식과 경계조건을 설정하였다. 순환전위법의 수치해를 구하기 위하여 양함수 유한차분법을 적용하였으며, MATLAB을 이용하여 프로그램을 작성하였다. 10 mM의 $K_3Fe(CN)_6$와 0.1 M KCl 전기화학계를 이용하여 ITO glass 전극에서 순환전위법을 실시하여 실험의 결과와 수치해를 비교하였다. 본 연구에서 구현된 프로그램은 실험 결과를 전반적으로 잘 예측하고 있으며, 특히 주사속도가 낮을수록 실험결과들이 수치해에 보다 근접하고 있었다. 주사속도에 부가하여 순환전위법에서 전극면적, 전극반응속도상수 그리고 전자이동수의 영향들을 정량적으로 고려할 수 있었다.

불균일계 액-액 접촉 계면을 통한 ester의 알카리 가수분해 반응 (Alkaline Hydrolysis of Esters across the Heterogeneous Liquid-Liquid Interface)

  • 박상욱;문진복;고명숙;김건우
    • 공업화학
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    • 제3권1호
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    • pp.119-129
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    • 1992
  • Ethyl acetate와 n-butyl acetate의 $25^{\circ}C$에서 알카리 가수분해 반응을 개량된 Lewis cell에서 행하여 화학반응을 수반한 물질전달 속도를 측정하였다. 측정한 물질전달 속도는 교반조의 교반속도에 무관하였고 이온강도 증가에 따라 감소하였으나 화학반응촉진 계수는 일정하였다. 측정한 화학반응 촉진계수를 경막설로부터 얻은 용질의 확산방정식의 근사해로부터 해석하여 ester의 알카리 가수분해반응의 2차 비가역 반응속도 정수를 얻을 수 있었으며, 그 값은 ethyl acetate의 경우 $0.041m^3/kgmol{\cdot}s$, n-butyl acetate의 경우 $0.338m^3/kgmol{\cdot}s$이었다.

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Ethyl Silicate를 이용한 고순도 $\beta$-SiC미분말 합성에 관한 연구(II) (분말의 특성, 반응형식 및 활성화에너지) (A Studyon Synthesis of High Purity $\beta$-SiC Fine Particles from Ethyl Silicate(II) (Powder Properties, Reaction Type and Activation Energy))

  • 최용식;박금철
    • 한국세라믹학회지
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    • 제26권2호
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    • pp.195-200
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    • 1989
  • The Silica-Carbon mixture was made with addition of carbon black in the composition which monodispersed spherical fine silica was formed by the hydrolysis of ethylsilicate, mole ratio of Carbon/Alkoxide was 3.1 and $\beta$-SiC powder was synthesized by reacting this mixture at 1,350~1,50$0^{\circ}C$ in Ar atmosphere. The results of this study are as follow : (1) The purity of synthesized $\beta$-SiC powder was above 99.98% and it was in cubic modification with lattice constant of 4.3476$\AA$. (2) The rate-controlling steps varied with the reaction temperature for the syntehsis of $\beta$-SiC in this study ; nucleation and growth of $\beta$-SiC at 1,350~1,40$0^{\circ}C$, interfacial reaction at 1,45$0^{\circ}C$ and diffusion described by Jander Equation at 1,50$0^{\circ}C$. (3) When the rate-determining step was nucleation and growth, the activation energy was about 87.8kcal/mol.

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Differential Scanning Calorimetry (DSC)를 이용한 유리섬유 Bisphenol-A(BPA)계 에폭시 프리프레그의 경화 반응 속도 연구 (Study of the Curing Reaction Rate of a Glass Fiber Reinforced Bisphenol-A (BPA) Epoxy Prepreg by Differential Scanning Calorimetry (DSC))

  • 권현진;박희정;이은주;구상민;김선홍;이기윤
    • Composites Research
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    • 제31권1호
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    • pp.30-36
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    • 2018
  • 본 연구에서는 시차주사열량계(differential scanning calorimetry, DSC)를 이용하여 유리섬유로 보강된 BPA계 에폭시 프리프레그의 경화 거동을 확인하였다. 기지재로 사용된 에폭시 수지의 전체 발열량(${\Delta}H_{total}=280.3J/g$)을 측정하기 위해 승온 실험을 하였다. $110{\sim}130^{\circ}C$ 등온 조건에서 측정된 발열량을 통해 높은 온도 조건일수록 최대 전환율과 최대 반응 속도가 증가하는 것을 확인하였다. 또한, 에폭시 프리프레그의 자기 촉매 반응을 해석하기 위해 Kamal 방정식을 적용하였으며 높은 온도 조건에서 반응 속도 상수($k_1$, $k_2$)가 큰 값으로 나타났다. 이때 얻어진 반응 속도 상수를 이용해 계산한 이론 추정치와 실험치를 비교한 결과 잘 부합하는 것을 확인하였다. 반응 초기에는 두 값이 유사하나 반응이 최종 단계에서는 반응 속도가 확산에 의해 결정되는 현상으로 인해 반응 속도의 실험치가 이론 추정치보다 더 작은 반응 속도 값을 가짐을 확인하였다.

티타늄이 첨가된 알루미나 분산강화 동합금의 산화물 형성 거동 (Oxidation Behavior of Ti Added Alumina Dispersion Strengthening Copper Alloy)

  • 조홍래;한승전;안지혁;이재현;손영국;김광호
    • 한국재료학회지
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    • 제25권4호
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    • pp.202-208
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    • 2015
  • Alumina dispersion strengthening copper(ADSC) alloy has great potential for use in many industrial applications such as contact supports, frictional break parts, electrode materials for lead wires, and spot welding with relatively high strength and good conductivity. In this study, we investigated the oxidation behavior of ADSC alloys. These alloys were fabricated in forms of plate and round type samples by surface oxidation reaction using Cu-0.8Al, Cu-0.4Al-0.4Ti, and Cu-0.6Al-0.4Ti(wt%) alloys. The alloys were oxidized at $980^{\circ}C$ for 1 h, 2 h, and 4 h in ambient atmosphere. The microstructure was observed with an optical microscope(OM) and a scanning electron microscope(SEM) equipped with energy-dispersive X-ray spectroscopy(EDS). Characterization of alumina was carried out using a 200 kV field-emission transmission electron microscope(TEM). As a result, various oxides including Ti were formed in the oxidation layer, in addition to ${\gamma}$-alumina. The thickness of the oxidation layer increased with Ti addition to the Cu-Al alloy and with the oxidation time. The corrected diffusion equation for the plate and round type samples showed different oxidation layer thickness under the same conditions. Diffusion length of the round type specimen had a value higher than that of its plate counterpart because the oxygen concentration per unit area of the round type specimen was higher than that of the plate type specimen at the same diffusion depth.

Electrochemical Impedance Spectroscopy and Cyclic Voltammetry Methods for Monitoring SmCl3 Concentration in Molten Eutectic LiCl-KCl

  • Shaltry, Michael R.;Allahar, Kerry N.;Butt, Darryl P.;Simpson, Michael F.;Phongikaroon, Supathorn
    • 방사성폐기물학회지
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    • 제18권1호
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    • pp.1-18
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    • 2020
  • Molten salt solutions consisting of eutectic LiCl-KCl and concentrations of samarium chloride (0.5 to 3.0 wt%) at 500℃ were analyzed using both cyclic voltammetry (CV) and electrochemical impedance spectroscopy (EIS). The CV technique gave the average diffusion coefficient for Sm3+ over the concentration range. Equipped with Sm3+ diffusion coefficient, the Randles-Sevcik equation predicted Sm3+ concentration values that agree with the given experimental values. From CV measurements; the anodic, cathodic, and half-peak potentials were identified and subsequently used as a parameter to acquire EIS spectra. A six-element Voigt model was used to model the EIS data in terms of resistance-time constant pairs. The lowest resistances were observed at the half-peak potential with the associated resistance-time constant pairs characterizing the reversible reaction between Sm3+ and Sm2+. By extrapolation, the Voigt model estimated the polarization resistance and established a polarization resistance-concentration relationship.