• 한국수학교육학회지시리즈B:순수및응용수학
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• 제8권1호
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• pp.47-51
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• 2001

We establish the global existence of nonnegative solutions to some reaction-diffusion equation for exponential nonlinearity for small initial data.

• Korean Chemical Engineering Research
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• 제57권5호
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• pp.652-665
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• 2019

Analytical solutions of the reactant concentration inside porous spherical catalytic particles were obtained from unsteady reaction-diffusion equation by applying eigenfunction expansion method. Various surface concentrations as exponentially decaying or oscillating function were considered as boundary conditions to solve the unsteady partial differential equation as a function of radial distance and time. Dirac delta function was also used for the instantaneous injection of the reactant as the surface boundary condition to calculate average reactant concentration inside the particles as a function of time by Laplace transform. Besides spherical morphology, other geometries of particles, such as cylinder or slab, were considered to obtain the solution of the reaction-diffusion equation, and the results were compared with the solution in spherical coordinate. The concentration inside the particles based on calculation was compared with the bulk concentration of the reactant molecules measured by photocatalytic decomposition as a function of time.

• 청정기술
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• 제19권4호
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• pp.379-387
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• 2013

본 총설에서는 최근 청정수소생산방법으로 큰 관심을 받고 있는 에탄올 수증기개질반응(ethanol steam reforming reaction)에 대해 소개하고자 한다. 다양한 촉매, 반응온도, 에탄올과 물의 몰비에 따른 에탄올 수증기개질반응의 반응특성 및 반응속도식(reaction rate equation)을 검토해 보고자 한다. 또한, 반응기와 분리기를 동시에 장착한 새로운 개념의 막반응기(membrane reactor)를 소개하며, 막반응기의 사용이 일반적인 충전층반응기(packed-bed reactor)에 비해 에탄올 전환율과 수소 수율에 어떠한 영향을 주는지에 대하여 고찰해 보고자 한다.

• 한국자동차공학회논문집
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• 제9권5호
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• pp.165-172
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• 2001

Wheel bearing units were almost exclusively used for car front wheel, where the two ball rows are directly side by side with integrated rubber seal. The seal is of important for wheel bearing units due to the adverse environmental conditions with mud and splash water. The seal of wheel bearing units was designed to have geometry with multi lips, which elastic lip contacts and deforms with bearing. The equation of reaction force for deformed lip as cantilever beam was previously used for seal lip design. But it's result was not useful because deflection of the beam differs from lip's. In this study, deformed shape of the lip was assumed to and order function which is more similar to lip deformation and made the equation for reaction force prediction. The Reaction forces from each other equations were compared with results by FEA to prove usefulness of new equation.

• 대한화학회지
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• 제16권4호
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• pp.232-240
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• 1972

Ethylacrylate에 대한 n-butylmercaptan의 첨가반응속도상수를 iodometry로 측정하여 넓은 pH범위에서 잘 맞는 속도식을 구하였다. 이 식에 의하면 pH 4 이하에서는 n-butylmercaptan분자가 첨가하여 pH 7 이상에서는 n-butylmercaptide ion이 첨가함을 알 수 있고 pH 4∼7 사이에서 일어나는 복잡한 첨가반응 메카니즘도 이 식으로 잘 설명 될 수 있음을 알았다.

• 대한화학회지
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• 제13권4호
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• pp.289-296
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• 1969

Ethylcinnamate에 대한 ethylmercaptan의 첨가반응속도상수를 idodometry로 측정하여 넓은 pH범위에서 잘 맞는 속도식을 구하였다. 이 식에 의하면 pH3이하에서는 ethymercaptan분자가 첨가하여 pH7이상에서는 ethylmercaptide ion이 첨가함을 알 수있고 pH3-7사이에서 일어나는 복잡한 첨가반응 메카니즘도 이식으로 잘 설명될 수 있음을 알았다.

• Journal of applied mathematics & informatics
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• 제28권1_2호
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• pp.49-58
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• 2010

In the present article we consider the diffusive Nicholson's blowflies equation with nonlocal delay incorporated into an integral convolution over all the past time and the whole infinite spatial domain $\mathbb{R}$. When the kernel function takes a special function, we construct a pair of lower and upper solutions of the corresponding travelling wave equation and obtain the existence of travelling fronts according to the existence result of travelling wave front solutions for reaction diffusion systems with nonlocal delays developed by Wang, Li and Ruan (J. Differential Equations, 222(2006), 185-232).

• Journal of applied mathematics & informatics
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• 제29권3_4호
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• pp.949-953
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• 2011

It is interesting to know the behavior of a network from its structure. One interesting topic is to find a relation between the existence of a positive equilibrium of the reaction network and its structure. One approach to study this topic is using the concept of deficiency. Another is using some conditions on nodes, which can apply to large-size networks compared to deficiency. In this work, we show the relation between deficiency and the conditions.

• Journal of applied mathematics & informatics
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• 제28권5_6호
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• pp.1545-1552
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• 2010

It is interesting to know the behavior of a network from its structure. One interesting topic is to find a relation between the existence of a positive equilibrium of the reaction network and its structure. One approach to study this topic is using the concept of deficiency. In this work, we develop an algorithm and show an elementary proof of the relation based on the algorithm and deficiency.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2017년도 제48회 춘계학술대회논문집
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• pp.547-553
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• 2017

Differential Scanning Calorimetry(DSC)를 이용하여 파이로점화장치에 사용되는 세 가지 고에너지 물질의 열분석 실험을 수행하였다. DSC 실험 데이터를 이용하여 고에너지 물질의 반응속도식을 추출해내는 이론적 방법을 제안하고 반응속도식 추출을 수행하였다. DSC 실험 결과는 Friedman 등전환법으로 분석되었다. 질량분율에 따른 활성화에너지와 빈도인자를 추출해 내어 반응속도식을 완성하였다. 추출된 반응속도식은 고에너지 물질의 화학반응과정을 몇 단계의 주요단계로 가정하는 형태가 아닌 전체 화학 반응 과정을 나타내는 형태를 갖는다. 이는 기존의 열분석 실험을 통해 추출되는 화학반응속도식 형태에 비해 이론적 측면과 정확성 측면에서 상당한 장점을 갖는다. 도출된 반응속도식을 이용하여 실제 추진기관에 운용되는 세 가지 고에너지 물질의 성능변화를 20년에 대하여 예측하였다.