• Bulletin of the Korean Chemical Society
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• 제29권1호
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• pp.33-37
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• 2008

A phenomenological theory of viscosity previously proposed by the present authors8 is applied to the corresponding state theory for the viscosity of liquid. Through the process of the formulation of the corresponding state equation, we can find the simple viscosity equation with no parameters in a reduced form. The liquid viscosities of various substances can be calculated using this equation when we know only the values of the molecular weight and critical constant of substances. A corresponding state equation for the viscosity of liquid from this theory may be applicable to predicting viscosities of various substances under varying temperature and pressure. As a result, this equation may be widely applied to chemical engineering.

• Earthquakes and Structures
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• 제8권1호
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• pp.101-132
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• 2015

This research formulates a closed-form equation to predict a glass panel cracking failure drift for several curtain wall and storefront systems. An evaluation of the ASCE 7-10 equation for Dclear, which is the drift corresponding to glass-to-frame contact, shows that the kinematic modeling assumed for formulation of the equation is sound. The equation proposed in this paper builds on the ASCE equation and offers a revision of that equation to predict drift corresponding to cracking failure by considering glazing characteristics such as glass type, glass panel configuration, and system type. The formulation of the proposed equation and corresponding analyses with the ASCE equation is based on compiled experimental data of twenty-two different glass systems configurations tested over the past decade. A final comparative analysis between the ASCE equation and the proposed equation shows that the latter can predict the drift corresponding to glass cracking failure more accurately.

• Bulletin of the Korean Chemical Society
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• 제7권3호
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• pp.204-210
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• 1986

It is shown that the linear stability coincides with the thermodynamic stability in the case of stress tensor evolution for simple dense fluids even if the constitutive (evolution) equation for the stress tensor is nolinear. The domain of coincidence can be defined in the space of parameters appearing in the constitutive equation and we find the domain is confined in an elliptical cone in a three-dimensional parameter space. The corresponding state theory in rheology of simple dense fluids is also further examined. The validity of the idea is strengthened by the examination.

• 대한화학회지
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• 제48권3호
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• pp.243-248
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• 2004

실제 기체 및 dense gas나 액체영역까지 영역의 점성까지 두루 점성 계산에 성공적이었던 brake 점성이론을 사용하여 이성분기체의 점성을 계산하였다. Adjustable parameter가 없었으나 낮은 압력에서는 물론 고압하에서도 계산된 값은 실험치와 잘 일치하였다. Redlich-Kwong 방정식을 사용하여 점성에 관한 대응상태방정식을 구성할 수 있었으며 이로부터 초임계유체의 다양한 공업적 활용가능성을 기대할 수 있게 되었다.

• 한국항공우주학회지
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• 제38권8호
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• pp.823-833
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• 2010

액체 로켓 및 항공용 엔진 연료로서 사용되는 케로신의 열역학적 상태량을 연구하기 위해 surrogate 모델이 조사되었다. 초임계 조건에서 실제 기체 상태 방정식(SRK 상태 방정식, PR 상태 방정식)과 NIST SUPERTRAPP(ECS 원리)을 이용하였을 경우의 밀도 분포가 기존의 실험 결과와 비교되었다. 또한 surrogate 모델의 종류에 따른 열역학적 상태량의 오차 범위에 대한 고찰이 수행되었다. 탄화 수소 계열 연료에 대해서는 PR 상태 방정식과 ECS 원리가 높은 정확도를 나타내지만 압력, 온도와 같은 작동 환경에 따라 적절한 surrogate 모델을 선별하여 선택해야 함을 확인하였다.

• Bulletin of the Korean Chemical Society
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• 제9권1호
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• pp.36-40
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• 1988

The time correlation functions of concentration fluctuations due to the random forces near the steady state are evaluated for a general two-component nonlinear chemical system by solving the corresponding two dimensional Fokker-Planck equation. The approximate method of solving the Fokker-Planck equation is based on the eigenfunction expansion and the corresponding eigenvalues for both the linear and nonlinear Fokker-Planck operators are obtained near the steady state. The general results are applied to the Lotka model near the oscillatory marginal steady state and the comparison is made between linear and nonlinear cases.

• 한국추진공학회지
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• 제14권3호
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• pp.39-51
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• 2010

실제 기체 상태 방정식에 대한 이론적 원리가 조사되었으며 초임계 조건을 포함한 다양한 압력과 온도 조건에서 액체 로켓 엔진의 추진제로서 사용되는 산소, 수소, 메탄의 열역학적 상태량에 대하여 비교 연구되었다. 또한 이상 기체 상태 방정식을 적용하였을 경우와 실제 기체 상태 방정식(SRK 상태 방정식과 PR 상태 방정식 및 ECS 원리)을 적용하였을 경우의 열역학적 상태량에 대한 비교 연구가 수행되었다. 단일 성분이 액상인 영역에서의 열역학적 상태량 차이가 관찰되었으며 오차 범위에 대한 결과가 고찰되었다.

• Bulletin of the Korean Chemical Society
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• 제35권12호
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• pp.3443-3446
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• 2014

We present the solution of Klein Gordon equation with new generalized Morse-like potential using SUSYQM formalism. We obtained approximately the energy eigenvalues and the corresponding wave function in a closed form for any arbitrary l state. We computed the numerical results for some selected diatomic molecules.

• East Asian mathematical journal
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• 제24권4호
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• pp.407-414
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• 2008

Finite difference schemes are considered for a $Ca^{2+}$ diffusion equations with damping and convection terms, which describe $Ca^{2+}$ buffering by using stationary and mobile buffers. Stability and $L^{\infty}$ error estimates of approximate solutions for the corresponding schemes are obtained using the extended Lax-Richtmyer equivalence theorem.

• Geomechanics and Engineering
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• 제12권6호
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• pp.983-1001
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• 2017

The extent by which economy and safety concerns can be addressed in earth retaining structure design depends on the accuracy of the assumed failure surface. Accordingly, this study attempts to investigate and quantify mechanical backfill properties that control failure surface geometry of cohesionless backfills at the active state for translational mode of wall movements. For this purpose, a small scale 1 g physical model study was conducted. The experimental setup simulated the conditions of a backfill behind a laterally translating vertical retaining wall in plane strain conditions. To monitor the influence of dilative behavior on failure surface geometry, model tests were conducted on backfills with different densities corresponding to different dilation angles. Failure surface geometries were identified using particle image velocimetry (PIV) method. Friction and dilation angles of the backfill are calculated as functions of failure stress state and relative density of the backfill using a well-known empirical equation, making it possible to quantify the influence of dilation angle on failure surface geometry. As a result, an empirical equation is proposed to predict active failure surface geometry for cohesionless backfills based on peak dilatancy angle. It is shown that the failure surface geometries calculated using the proposed equation are in good agreement with the identified failure surfaces.