• Journal of applied mathematics & informatics
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• 제26권5_6호
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• pp.1057-1069
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• 2008

We consider singularly perturbed Boundary Value Problems (BVPs) for third and fourth order Ordinary Differential Equations(ODEs) of convection-diffusion type with discontinuous source term and a small positive parameter multiplying the highest derivative. Because of the type of Boundary Conditions(BCs) imposed on these equations these problems can be transformed into weakly coupled systems. In this system, the first equation does not have the small parameter but the second contains it. In this paper a computational method named as 'An asymptotic finite element method' for solving these systems is presented. In this method we first find an zero order asymptotic approximation to the solution and then the system is decoupled by replacing the first component of the solution by this approximation in the second equation. Then the second equation is independently solved by a fitted mesh Finite Element Method (FEM). Numerical experiments support our theoritical results.

• 한국인공지능학회지
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• 제8권1호
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• pp.7-9
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• 2020

In this paper, a study was conducted to find a self-diagnosis method to prevent the spread of COVID-19 based on machine learning. COVID-19 is an infectious disease caused by a newly discovered coronavirus. According to WHO(World Health Organization)'s situation report published on May 18th, 2020, COVID-19 has already affected 4,600,000 cases and 310,000 deaths globally and still increasing. The most severe problem of COVID-19 virus is that it spreads primarily through droplets of saliva or discharge from the nose when an infected person coughs or sneezes, which occurs in everyday life. And also, at this time, there are no specific vaccines or treatments for COVID-19. Because of the secure diffusion method and the absence of a vaccine, it is essential to self-diagnose or do a self-diagnosis questionnaire whenever possible. But self-diagnosing has too many questions, and ambiguous standards also take time. Therefore, in this study, using SVM(Support Vector Machine), Decision Tree and correlation analysis found two vital factors to predict the infection of the COVID-19 virus with an accuracy of 80%. Applying the result proposed in this paper, people can self-diagnose quickly to prevent COVID-19 and further prevent the spread of COVID-19.

• Elastomers and Composites
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• 제46권3호
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• pp.245-250
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• 2011

Poly(acrylonitrile)-poly(vinyl chloride) 공중합체 섬유의 비결정성 영역에서의 자체 확산 계수와 홀 부피를 응력완화 실험으로 규명하였다. 응력완화 실험은 용매기를 부착한 인장 시험기를 사용하였다. 이론적인 응력완화식 에 응력완화 실험 결과를 적용하여 여러 가지 유동 파라메타를 계산하였다. 유동 파라메타로부터 섬유고분자 물질의 홀부피, 자체확산, 점성, 열역학파라메타 등을 계산하였다. 이들 시료의 유동 파라메타는 유동 단위의 홀 부피, 자체확 산, 유동 활성화 에너지와 직접적인 연관을 갖는 것으로 규명되었다.

• 대한전자공학회논문지
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• 제18권1호
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• pp.51-56
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• 1981

양호한 특성의 I2L 구조를 구현하기 위한 새로운 공정을 제안하였다. 이 구조에서는, extrinsic base 의 불순물 농도가 높으며, 또한 collector는 불순물 농도가 낮은 intrinsic base와 self align된다. 제안한 공정에서는 spin-on source를 확산원으로 사용하였고, mask 단계를 줄이기 위하여 열처리로 단단해진 spin-on source를 확산 mask로 사용하였다. 이 공정에 의하여 13단 ring oscil-lator를 포함한 시험소자를 6.5μm의 epi 충을 갖는 n/n+ silicon wafer 상에 제작하였다. 제작한 시험소자의 특성은, collector가 세 개인 I2L의 경우 npn transistor의 상향 전류이득은 최대치가 8이었으며, collector가 하나인 I2L의 속도전력적과 최소 전달 지연시간은 각각3.5 pJ과 50ns 이었다.

• Computers and Concrete
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• 제13권3호
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• pp.361-375
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• 2014

The moisture transport in underground concrete was experimentally investigated and the nonlinear model of moisture transport considering the effects of water diffusion, hydration of cementicious materials and water permeability was proposed. The consumed moisture content by self-desiccation could be firstly calculated according to evolved hydration degree of cement and mineral admixtures. Furthermore, the finite differential method was adopted to solve the moisture transport model by linearizing the nonlinear moisture diffusion coefficient. The comparison between experimental and calculated results showed a good agreement, which indicated that the proposed moisture model could be used to predict moisture content evolution in underground concrete members with drying-wetting boundaries.

• 멤브레인
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• 제8권1호
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• pp.1-10
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• 1998

액체 상태에서 물질이 확산되는 현상을 자유 부피의 개념으로 해석하고자 하는 노력은 1959년에 Cohen과 Turnbull에 의해서 시작되었다. 그들은 액체의 부피를 두 부분으로 나누었는데, 하나는 분자가 차지하고 있는 점유 부피(Occupied volume)이고, 다른 하나는 자유 부피(Free-volume)로서 무작정한 열적 유동에 의해서 재분배된다. 온도의 변화에 의해 부피가 변하는 것은 이 자유 부피의 변화때문이며, 점유 부피는 온도에는 무관함 것으로 갖주하였다. 분자가 액체 상태에서 이동하려면 이웃에 충분한 크기의 자유 부피 공간이 존재해야한다. 따라서, 분자의 확산은 분자가 이들 자유 부피 공간들로 도약하는 것이다. Cohen-Turnbull의 이론에서는 순수한 액체의 자기 확산 계수(Self-diffusion conefficient)는 자유 부피의 무작정한 유동에 의하여 임계 크기의 공간이 생성되는 확률과 관련이 있다. Cohen-Turnbull 자유 부피 이론은 그 후 많은 사람들에 의해서 수정되었고, 그중에서 현재 가장 널리 사용되는 것은 Fujita의 이론과 Vrentas-Duda의 이론이다. 두 이론 모두 확산 데이터를 correlation하는데는 문제가 없으나, Vrentas-Duda의 이론만이 확산계수를 예측할 수 있는 능력이 있다. 또한, 고분자와 용매의 도약 단위의 몰 질량이 같을때에 Vrentas-Duda의 이론은 Fujita의 이론과 같아지므로, Fujita의 이론은 Vrentas-Duda의 이론의 특수한 경우라고 할 수 있다. 따라서, 본 논문에서는 Vrentas-Duda 자유 부피 이론만을 다루기로 하겠다.

• 천문학회지
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• 제39권4호
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• pp.95-105
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• 2006

We have calculated the cosmic ray(CR) acceleration at young remnants from Type Ia supernovae expanding into a uniform interstellar medium(ISM). Adopting quasi-parallel magnetic fields, gasdynamic equations and the diffusion convection equation for the particle distribution function are solved in a comoving spherical grid which expands with the shock. Bohm-type diffusion due to self-excited $Alfv\acute{e}n$ waves, drift and dissipation of these waves in the precursor and thermal leakage injection were included. With magnetic fields amplified by the CR streaming instability, the particle energy can reach up to $10^{16}Z$ eV at young supernova remnants(SNRs) of several thousand years old. The fraction of the explosion energy transferred to the CR component asymptotes to 40-50 % by that time. For a typical SNR in a warm ISM, the accelerated CR energy spectrum should exhibit a concave curvature with the power-law slope flattening from 2 to 1.6 at $E{\gtrsim}0.1$ TeV.

• Bulletin of the Korean Chemical Society
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• 제21권6호
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• pp.577-582
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• 2000

Interdiffusion process at interfaces of chemically identical polymers (e.g., deuterated-nondeuterated pairs) with different molecular weights or polymers with similar physical properties, is studied here by varying the diffusion time. Considering the vacancy flux ($J_v$) and adopting the Cahn-Hilliard interracial energy in describing this system, we can see that the variation of the interfacial composition profile with time is asymetric and the interface moves towards the polymer with the lower molecular weight as interdiffusion progresses. Furthermore, interface shift $\Delta\chi$, which characterizes the interdiffusion between polymers, agrees well with the behaviors of the existing experimental data. We can also obtain the interface shift factor C, which can be converted into values of $D_s$ (self-diffusion coefficient of the smaller molecules), from the slopes of the linear fits to the data of the interface shift.

• 공업화학
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• 제34권1호
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• pp.86-93
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• 2023

In this study, we investigated the various adsorption factors influencing the adsorption of heavy metal ions based on the study of the composition and physicochemical properties of scoria dispersed throughout Jeju Island. Analysis of the distribution characteristics of scoria samples collected from five areas of Jeju showed that reddish-brown-colored scoria were predominant. Analysis of scoria collected from Jeju Island showed that its mineral components are ordered as follows: SiO₂ > Al₂O₃ > Fe₂O₃ > CaO and MgO. The experimental data did not show a linear relationship in the pseudo-first-order adsorption kinetics. In contrast, a pseudo-second-order model yielded a positive linear relationship, and this model was subsequently used. It could be concluded based on an intraparticle diffusion model indicating linear relationships that the capture of metal ions on scoria is dominated by the primary adsorption step.

• 한국연소학회지
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• 제16권3호
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• pp.41-51
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• 2011

In this paper, we describe the behavior of two self-excitations in laminar attached free-jet flames under the influence of DC electric fields, one of buoyancy-driven and the other of diffusion-thermal instability, established from the horizontal and vertical injection. In the horizontal injection with removed buoyancy effect, oscillating flames with the frequency of 1.3 - 7.4 Hz were observed in a certain condition with Lewis number more than unity. On the other hand, it was appeared Lewis number induced self-excitation as well as buoyancy-driven self-excitation in the vertical upward injection with DC electric fields. This behavior had frequency range of 1.6 - 9.4 Hz and was exhibited to attribute the buoyancy effect. Finally, a well-defined division about two self-excitations having similar frequency range is briefly discussed.