• Journal of applied mathematics & informatics
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• 제38권1_2호
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• pp.113-132
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• 2020

In this paper, a class of linear second order singularly perturbed delay differential turning point problems containing a small delay (or negative shift) on the reaction term and when the solution of the problem exhibits twin boundary layers are examined. A hybrid finite difference scheme on an appropriate piecewise-uniform Shishkin mesh is constructed to discretize the problem. We proved that the method is almost second order ε-uniformly convergent in the maximum norm. Numerical experiments are considered to illustrate the theoretical results.

• 한국연소학회:학술대회논문집
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• 한국연소학회 2006년도 제32회 KOSCO SYMPOSIUM 논문집
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• pp.32-38
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• 2006

A premixed flame propagating in a tube suffers strong variation in its shape and structure depending on boundary conditions. The effects of thermal boundary conditions and flow fields on flame propagation are numerically investigated. Navier-Stokes equations and species equations are solved with a one-step irreversible global reaction model of methane-air mixture. Finite volume method using an adaptive grid method is applied to investigate the flame structure. In the case of an adiabatic wall, friction force on the wall significantly affected the flame structure while in the case of an isothermal wall, local quenching near the wall dominated flame shapes and propagation. In both cases, variations of flow fields occurred not only in the near field of the flame but also within the flame itself, which affected propagation velocities. This study provides an overview of the characteristics of flames in small tubes at a steady state.

• 한국진공학회:학술대회논문집
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• 한국진공학회 2000년도 제18회 학술발표회 논문개요집
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• pp.169-169
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• 2000

최근 반도체 소자의 초고집적화 현상에 따라 기존의 Al-base 합금에 대한 한계에 달하면서 그에 대한 대체 물질로 Cu가 관심을 모으게 되었고 그럼으로써 Cu metallization을 위한 많은 연구가 진행되어 왔다. Cu는 Al-base 합금계보다 비저항이 낮고, 녹는점이 높으며, 또한 electromigration 특성이 뛰어난 것으로 알려져 있다. 공학적인 면에서 이미 이들 계에 대한 adhesion 및 전기적 특성에 대한 많은 연구가 있어왔지만, 이들 특성 변화에 대한 물리적 의미를 제공할 만한 기초 자료들이 부족한 상태이다. 본 연구에서는 부도체인 polyimide 박막과 diffusion barrier인 TiN 박막위에서의 Cu 박막성장에 따르는 interface chemical reaction의 변화를 XPS를 이용하여 관찰함으로서 이들 계에 있어서의 adhesion과의 관계를 조사하였다. 그리고 XPS를 이용한 modified surface accumulation method를 적용시켜 TiN diffusion barrier를 통한 Cu의 grain boundary diffusion 상수들을 측정하였다. Cu/TiN system의 경우에는 interface chemical reaction이 일어나지 않았지만 Cu/polymide system에 있어서는 boundary diffusivity는 특히 40$0^{\circ}C$에서 $650^{\circ}C$ 영역에서, Db=60$\times$10-11exp[-0.29/(kBT)]cm2/sec 이었다.

• Journal of applied mathematics & informatics
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• 제27권3_4호
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• pp.517-529
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• 2009

In this paper, a singularly perturbed reaction-convection-diffusion problem with two parameters is considered. A parameter-uniform error bound for the numerical derivative is derived. The numerical method considered here is a standard finite difference scheme on piecewise-uniform Shishkin mesh, which is fitted to both boundary and initial layers. Numerical results are provided to illustrate the theoretical results.

• 동력기계공학회지
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• 제21권2호
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• pp.83-88
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• 2017

We have examined the effect of values of subgrade reaction coefficient on the dynamic responses(displacement and strain responses) of the buried concrete pipeline of which the end boundary condition is the fixed ends. We have carried out the dynamic analysis of mode superposition method with representative values of coefficient of subgrade reaction applicable to the classified rock masses. We have found that the effect of subgrade reaction coefficient on the dynamic responses of the pipeline appears noticeable for the seismic waves having relatively high frequency and low apparent propagation velocity.

• Nuclear Engineering and Technology
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• 제53권3호
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• pp.732-740
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• 2021

Scattering resonance of medium mass nuclides leads complex spectrum in the fast reactor, which requires thousands of energy groups in the spectrum calculation. When the broad-group cross sections are collapsed, reaction rate cannot be completely conserved. To eliminate the error from energy collapsing, the Super-homogenization method in energy collapsing (ESPH) was employed in the fast reactor code SARAX. An ESPH factor was derived based on the ESPH-corrected SN transport equation. By applying the factor in problems with reflective boundary condition, both the effective multiplication factor and reaction rate were conserved. The fixed-source iteration was used to ensure the stability of ESPH iteration. However, in the energy collapsing process of SARAX, the vacuum boundary condition was adopted, which was necessary for fast reactors with strong heterogeneity. To further reduce the error caused by leakage, an additional conservation factor was proposed to correct the neutron current in energy collapsing. To evaluate the performance of ESPH with conservation factor, numerical benchmarks of fast reactors were calculated. The results of broad-group calculation agreed well with the direct full-core Monte-Carlo calculation, including the effective multiplication factor, radial power distribution, total control rod worth and sodium void worth.

• Journal of Electrical Engineering and Technology
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• 제10권4호
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• pp.1674-1681
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• 2015

This paper presented an improved analytical method for calculating armature-reaction field in the surface-mounted permanent magnet machines accounting for opening slots. The analytical model is divided into two types of subdomains. The current of the armature is centralized in the center of the slots. The field solution of each subdomain is obtained by applying the interface and boundary conditions of the model. Two 30-pole/36-slot prototype machines with different slot-opening width are used for validation. The FE (finite element) results confirm the validity of the analytical results with the proposed model. The investigation shows that the wider the slot-opening width is, the smaller the peak value of radial and circumferential components of flux density, and the analytical armature-reaction field produced by centralized current in the slots is similar with the armature-reaction field produced by distributed current in the slots in the FE.

• 한국세라믹학회지
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• 제35권1호
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• pp.1-4
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• 1998

SiC whisker reinforced Al2O3-SiC composite was fabricated by reaction synthesis method whish is cost ef-fective and allows good dispersion of whiskers. Fracture strength at room temperature showed the highest value with 150$0^{\circ}C$ reaction temperature because a lot of SiC whiskers was formed. Fracture strength at 135$0^{\circ}C$ did not show big differences with reaction temperature due to agglomeration of whiskers and formation of sil-icon oxynitride during hot MO(modulus of rupture) test probably promoting grain boundary sliding.

• Ecology and Resilient Infrastructure
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• 제10권4호
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• pp.125-134
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• 2023

차별적 특징을 갖지 않는 탁도 측정자료에 대한 역추적기법을 개발하고자 지천의 상류와 하류에 위치한 수질자동측정점에서 측정된 실시간 탁도자료와 Py_STPS모형을 사용하여 지천의 유입탁도를 예측하는 세 가지 탁도역추적기법을 비교하였다. 유하시간을 고려한 탁도부하량 단순보존 방법, 유하시간을 고려한 상류경계의 유량을 하류경계의 유량으로 사용하는 방법, 탁도 유발물질의 거동특성을 반영하기 위해 내부반응률을 도입한 방법 세 가지 탁도 역추적기법을 적용하였다. 세 가지 역추적모형의 적용 결과, 내부반응률을 도입한 역추적기법의 결과가 가장 우수함을 확인할 수 있었다.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.49-65
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• 2006

A robust numerical method for a singularly perturbed second-order ordinary differential equation having two parameters with a discontinuous source term is presented in this article. Theoretical bounds are derived for the derivatives of the solution and its smooth and singular components. An appropriate piecewise uniform mesh is constructed, and classical upwind finite difference schemes are used on this mesh to obtain the discrete system of equations. Parameter-uniform error bounds for the numerical approximations are established. Numerical results are provided to illustrate the convergence of the numerical approximations.