• 제목/요약/키워드: Theoretical equation

검색결과 1,652건 처리시간 0.032초

Fundamentals of Stress-Induced Diffusion: Theoretical Approach to Hydrogen Transport through Self-Stressed Electrode

  • Lee, Sung-Jai;Pyun, Su-Il
    • 전기화학회지
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    • 제8권1호
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    • pp.47-54
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    • 2005
  • This article covers the fundamentals of stress-induced diffusion, focusing on the theoretical model for hydrogen transport through self-stressed electrode. First, the relationship between hydrogen diffusion and macroscopic deformation of the electrode specimen was briefly introduced, and then it was classified into the diffusion-elastic and elasto-diffusive phenomena. Next, the transport equation for the flux of hydrogen caused simultaneously by both the concentration gradient and the stress gradient was theoretically derived. Finally, stress-induced diffusion was discussed on the basis of the numerical solutions to the derived transport equation under the permeable and impermeable boundary conditions.

Three Reasons We May Shun the Research Practice That Employs Formative Measurement in the Endogenous Position

  • Kim, Gimun;Shin, Bongsik;Kim, Kijoo
    • Journal of Information Technology Applications and Management
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    • 제20권3호
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    • pp.129-141
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    • 2013
  • When the formative construct is placed in the endogenous position, there are clear theoretical, mathematical, and empirical issues in model estimation. Nonetheless, scholars who have adopted structural equation modeling for empirical research and those who are engaged in debates on the viability of formative modeling fail to recognize the fundamental problems of employing formative measurement in the endogenous position. This manuscript is intended to set a corrective path by discussing three reasons why this frequented practice may be avoided in both theoretical and empirical research.

The Rheological and Mechanical Model for Relaxation Spectra of Polydisperse Polymers

  • Kim, Nam Jeong;Kim, Eung Ryul;Hahn Sang Joon
    • Bulletin of the Korean Chemical Society
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    • 제13권4호
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    • pp.413-419
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    • 1992
  • The theoretical equation for the relaxation spectrum of nonlinear viscoelastic polymeric material was derived from the Ree-Eyring and Maxwell non-Newtonian model. This model consists of infinite number of hyperbolic sine law Maxwell elements coupled in parallel plus a spring without a dashpot. Infinite number of nonlinear viscoelastic Maxwell elements can be used by specifying distribution of relaxation times, hole volumes, molecular weights, crystallite size and conformational size, etc. The experimentals of stress relaxation were carried out using the tensile tester with the solvent chamber. The relaxation spectra of nylon 6 filament fibers in various electrolytic solutions were obtained by applying the experimental stress relaxation curves to the theoretical equation of relaxation spectrum. The determination of relaxation spectra was performed from computer calculation.

토양의 침식과 보존에 관한 이론적 분석 3. 사면 토양의 침식에 관한 이론 (The Theoretical Analyses of the Soil Erosion and Conservation 3. Analytical Theory of Slope Erosion)

  • 장남기
    • 아시안잔디학회지
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    • 제10권1호
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    • pp.41-47
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    • 1996
  • The theory of slope erosion is developed along similar lines to the theory of heat flow in solid added to the correcting factor. if slope erosion in the forest and grassland proceeds according to the hypothesis, it is $\delta$y $\delta^2$y = k $\delta^2$y $\delta$$X^2$+f(s b. t) where 5 is internal properties of slope soil and b is biota on slope. When the variables of the equation of slope erosion are x = -λ the initial elevation=-f(λ), x=λ, x==a, the steady value of the initial elevation=y, and dy dx x=0> =O(t>o), respectively, the houndary condition due to the solution of the equation of slope erosion is y= 2 √$\pi$kt [∫a o λe $(X-λ)^2$4kt dλ- ∫ao- $(x+λ)^2$4kt dλ] + ∫∫∫ f (s.b. t)dtdbds

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Inconsistency in the Average Hydraulic Models Used in Nuclear Reactor Design and Safety Analysis

  • Park, Jee-Won;Roh, Gyu-Hong;Park, Hangbok
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1997년도 추계학술발표회논문집(1)
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    • pp.599-604
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    • 1997
  • One of important inconsistencies in the six-equation model predictions has been found to be the force experienced by a single bubble placed in a convergent stream of liquid. Various sets of governing equations yield different amount of forces to hold the bubble stationary in a convergent nozzle. By using the first order potential flow theory, it is found that the six-equation model can not be used to estimate the force experienced by a deformed bubble. The theoretical value of the particle stress of a bubble in a convergent nozzle flow has been found to be a function of the Weber number when bubble distortion is allowed. This force has been calculated by using different sets of governing equations and compared with the theoretical value. It is suggested in this study that the bubble size distribution function can be used to remove the presented inconsistency by relating the interfacial variables with different moments of the bubble size distribution function. This study also shows that the inconsistencies in the thermal-hydraulic governing equation can be removed by mechanistic modeling of the phasic interface.

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Evaluation of surface displacement equation due to tunnelling in cohesionless soil

  • Mazek, Sherif A.
    • Geomechanics and Engineering
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    • 제7권1호
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    • pp.55-73
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    • 2014
  • The theoretical predictions of ground movements induced by tunnelling are usually based on the assumptions that the subsoil has the same soil densities. The theoretical prediction does not consider the impact of different sand soil types on the surface settlement due to tunnelling. The finite elements analysis (FEA) considers stress and strength parameters of the different sand soil densities. The tunnel construction requires the solution of large soil-structure interaction problem. In the present study, the FEA is used to model soil-tunnel system performance based on a case study to discuss surface displacement due to tunnelling. The Greater Cairo metro tunnel (Line 3) is considered in the present study as case study. The surface displacements obtained by surface displacement equation (SDE) proposed by Peck and Schmidt (1969) are presented and discussed. The main objective of this study is to capture the limitations of the parameters used in the SDE based on the FEA at different sand soil densities. The study focuses on the parameters used in the SDE based on different sand soil densities. The surface displacements obtained by the FEA are compared with those obtained by the SDE. The results discussed in this paper show that the different sand soil densities neglected in the SDE have a significant influence on the surface displacement due to tunnelling.

Polyacrylonitrile-Poly(vinyl chloride) 공중합체 완화스펙트럼의 실험과 이론적인 고찰 (Experimental and Theory for Relaxation Spectrum of Polyacrylonitrile-Poly(vinyl chloride) Copolymers)

  • 김남정
    • 폴리머
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    • 제35권3호
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    • pp.232-237
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    • 2011
  • Polyacrylonitrile-poly (vinyl chloride) 공중합체의 완화스펙트럼을 이론적인 완화스펙트럼 식에 실험적인 응력완화 곡선을 대입하여 계산하였다. 이론적인 완화스펙트럼 식은 Ree-Eyring and Maxwell 모델로부터 유도하였다. 응력완화 실험은 용매기를 부착한 인장 시험기를 사용하였다. 완화스펙트럼의 계산은 컴퓨터 프로그램을 이용하였으며, 완화스펙트럼으로부터 고체 고분자의 미세구조, 점탄성적인 성실, 홀 부피가 연구되었다. 또한 이들 시료의 완화스펙트럼은 유동단위의 분자량과 자체확산 분포와 밀접한 관계가 있음을 알 수 있었다.

토템폴 브릿지리스 PFC의 내부 손실 분석과 병렬 스위치를 사용한 효율 개선에 관한 연구 (A Study on Internal Loss Analysis of Totem Pole Bridgeless PFC and Efficiency Improvement using Parallel Switch)

  • 유정상;길용만;유승협;안태영
    • 반도체디스플레이기술학회지
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    • 제19권4호
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    • pp.22-27
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    • 2020
  • In this paper, a generalized efficiency equation was proposed to estimate the internal loss of the SMPS (switched-mode power supply) with 3 variables. The first variable was an internal loss not related to the load current such as auxiliary power, the second was a loss proportional to the current such as diode loss, and the third was a loss proportional to square of the current such as conduction loss. Especially, theoretical internal losses of the totem pole bridgeless PFC which is widely used for high efficiency SMPS were expressed as output function to compare generalized efficiency equation. In addition, in order to reduce the conduction loss of the switch, when a multiple switch were paralleled, the correlation with the efficiency was analyzed and shown as a graph. In order to confirm the degree of the parallel switch structure on the efficiency improvement, a 2kW class totem pole bridgeless PFC was constructed and the effectiveness of the analysis was confirmed by comparing the generalized efficiency equation and theoretical loss analysis results with experimental data.

UO$_{2}$ 펠릿 산화로의 분말 비산 방지를 위한 최종속도 측정 (Measurement of Terminal Velocity for Scatter Prevention of Powder in the Voloxidizer for Oxidation of UO$_{2}$ Pellet)

  • 김영환;윤지섭;정재후;진재현;홍동희
    • 방사성폐기물학회지
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    • 제3권2호
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    • pp.77-84
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    • 2005
  • 실증용 UO$_{2}$ pellet 산화로의 실증을 위한 제한된 핫셀 공간 안에서 사용후 핵 연료를 취급하는 산화로는 소형화 하여야 하고, 사용후 핵 연료 분말은 UO$_{2}$ pellet 산화로 장치로부터 비산되지 않아야 한다. 본 연구에서는 분말의 최종속도를 구하기 위하여 Stokes식과 밀도비식을 제안하였다. U$_{3}$O$_{8}$ 의 최종속도 SiO$_{2}$ 의 최종속도를 사용하여 예측하였고, 비산방지를 할 수 있는 최적유량을 결정하였다. SiO$_{2}$ 의 이론 최종속도 식을 검증하고, U$_{3}$O$_{8}$ 과 관계식을 예측하기 위하여 아크릴 장치를 만들었다. 목업시설 에 설치 된 산화로에서 제안된 이론최종속도식 인 Stokes식 의 20 L/min과 밀도비식의 14.5 L/min을 적용하여 U$_{3}$O$_{8}$ 분말의 필터감지에 의해 검증하였다. 그 결과 밀도비식에 의한 14.5 L/min은 U$_{3}$O$_{8}$ 이전혀 검출되지 않았고, Stokes식의 20 L/min에서는 평균 7$\mu$m 의 입도분말이 검출되었다. 따라서 UO$_{2}$ pellet 산화로에서 U$_{3}$O$_{8}$이 비산되지 않는 최적유량은 14.5L/min임을 알 수 있었고, 제안된 밀도비식이 바람직함을 알 수 있었다.

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연약지반상에 축조된 저수지 제방의 과잉공극수압 예측 (Prediction of Excess Pore Water Pressure of Reservoir Embankment on Soft Ground)

  • 민학규;이달원
    • 한국농공학회논문집
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    • 제50권2호
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    • pp.37-44
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    • 2008
  • A theoretical equation was proposed to consider the effect of ponding for the excess pore water pressure in agricultural reservoir on soft clay ground. The value of excess pore water pressure predicted using the proposed equation was compared to those predicted with the Terzaghi's method and the finite difference method(FDM), respectively, for the purpose of verification. The degree of consolidation according to ponding predicted by applying the proposed equation was close to the observed degree of consolidation on the double drainage condition(at DP-3) but it was less than the observed degree of consolidation on the single drainage condition(at DP-5). The equation was very applicable to practice because the analysis result by the equation was close to the observed data.