• Title/Summary/Keyword: 에너지방정식

Search Result 741, Processing Time 0.034 seconds

Analysis of Space Charge Propagation in a Dielectric Liquid Employing Field-Thermal Electron Emission Model and Finite Element Method (유한요소법과 전계-열전자 방출 모델에 의한 절연유체 내 공간전하 전파해석)

  • Lee, Ho-Young;Lee, Se-Hee
    • Proceedings of the KIEE Conference
    • /
    • 2009.07a
    • /
    • pp.1406_1407
    • /
    • 2009
  • Fowler-Nordheim의 전자 방출과 열전자 방출 메카니즘을 이용하여 절연유체 내 전계에 의한 도체의 음극에서 전자 방출현상과 열에 의한 열전자 방출현상을 고려하고 유한요소법(Finite Element Method)을 이용하여 해석하였다. 절연유체 내 공간전하에 대한 해석기법으로 푸아송 방정식, 양이온, 음이온, 전자에 대한 전하연속 방정식, 온도에 대한 열 확산 방정식으로 이루어진 5개의 지배방정식에 Fowler-Nordheim의 전계 방출과 Richardson-Dushman의 열전자 방출을 경계조건으로 부여하였다. 단자 전류는 유한요소법과 잘 부합하는 에너지법으로 계산되었다. 쌍 곡선형 PDE의 공간전하 전파에 대한 지배 방정식은 일반적으로 수치적인 불안정성을 가지므로 인공 확산 항을 고려하여 이를 해결하였다. 제안된 해석법은 세 개의 캐리어를 가진 x-y 좌표축의 2차원 평판 모델에 적용하여 그 유효성을 확인하였다.

  • PDF

Analysis of Electrical Characteristics of D.C. Low-Pressure Discharge by the Effect of Bulb-Wall Temperature (관벽온도에 따른 D.C. 저압 방전의 전기적 특성의 해석)

  • 김수길;이진우;지철근
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
    • /
    • v.7 no.5
    • /
    • pp.23-28
    • /
    • 1993
  • 이 논문에서는 관벽온도에 따른 방전램프의 동작전압과 전류를 예측할 수 있는 수식 모델이 전개된다. 저압 수은-아르곤 가스 방전을 이용하는 형광램프가 모델로 사용된다. 저압 수은-아르곤 가스 방전에서 여기 원자와 전자의 연속방정식, 전자의 에너지 보존식, 열전도도 방정식과 이상기체 상태 방정식이 방전의 물리량을 예측하는데 이용된다. 이들 방정식과 회로 방정식을 이용하여 방전램프의 관벽온도의 효과로 인한 D.C. 저압 방전의 전기적인 특성을 예측한다. 이러한 예측은 방전램프의 설계를 하는 데 있어서 많은 도움이 되리라고 생각된다.

  • PDF

TEMPERATURE-EXPLICIT FORMULATION OF ENERGY EQUATION FOR A HEAT TRANSFER ANALYSIS (열유동 해석을 위한 에너지 방정식의 온도에 현시적인 이산화 기법)

  • Kim, Jong-Tae;Kim, Sang-Baik
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2009.04a
    • /
    • pp.277-282
    • /
    • 2009
  • A temperature equation which is derived from an enthalpy transport equation by using an assumption of a constant specific heat is very attractive for analyses of heat and fluid flows. It can be used for an analysis of a solid-fluid conjugate heat transfer, and it does not need a numerical method to find temperature from a temperature-enthalpy relation. But its application is limited because of the assumption. A new method is derived in this study, which is a temperature-explicit formulation of the energy equation. The enthalpy form of the energy equation is used in the method. But the final discrete form of the equation is expressed with temperature. It can be used for a solid-fluid conjugate heat transfer and multiphase flows. It is found by numerical tests that it is very efficient and as accurate as the standard enthalpy formulation.

  • PDF

Numerical Calculation of λ-Mode of the Diffusion Equation (수치해법을 이용한 중성자 확산방정식의λ-Mode 계산)

  • Noh, T.W.;Oh, S.K.;Kim, S.Y.;Kim, C.H.
    • Nuclear Engineering and Technology
    • /
    • v.19 no.4
    • /
    • pp.310-316
    • /
    • 1987
  • A successive iteration method to calculate the λ-modes of the diffusion equation was developed. The 2-group, 3-dimensional computer code MOGEN was developed to implement this method, The accuracy of the method was demonstrated using 2-dimensional bare homogeneous rectangular reactor. The numerical solution shows good agreement with the analytic solution in terms of eigenvalue and eigenfunction As for the standard CANDU-600 reactor, the 2-dimensional modes were generated and these represent the conventional mode characteristics well. Finally, application of theλ-mode in reactor engineering problems is described briefly.

  • PDF

Kirchhoff Prestack Depth Migration for the Complex Structure Using One-Way Wave Equation (일방향 파동방정식을 이용한 복잡한 구조의 키리히호프 중합전 심도구조보정)

  • Ko, Seung-Won;Yang, Seung-Jin
    • Geophysics and Geophysical Exploration
    • /
    • v.5 no.1
    • /
    • pp.18-22
    • /
    • 2002
  • As a single arrival traveltime, maximum energy arrival traveltime has been known as the most proper operator for Kirchhoff migration. In case of the model having the simple structure, both the first arrival traveltime and the maximum energy arrival traveltime can be used as the correct operators for Kirchhoff migration. However for some model having the complex and high velocity contrast structure, the migration using the first arrival traveltime can't give the correct depth section. That is, traveltime to be required in Kirchhoff migration is the maximum energy traveltime, but, needs considerably more calculation time than that of first arrival. In this paper, we propose the method for calculating the traveltime approximated to the maximum energy arrival using one-way wave equation. After defining the WAS(Wrap Around Suppression) factor to be used for calculating the first arrival traveltime using one-way wave equation as the function of lateral grid interval and depth and considering the delay time of source wavelet. we calculate the traveltime approximated to the maximum energy arrival. to verify the validity of this traveltime, we applied this to the migraion for simple structure and complex structure and compared the depth section with that obtained by using the first arrival traveltime.

A Linear Wave Equation Over Mild-Sloped Bed from Double Integration (이중적분을 이용한 완경사면에서의 선형파 방정식)

  • Kim, Hyo-Seob;Jung, Byung-Soon;Lee, Ye-Won
    • Journal of the Korean Society for Marine Environment & Energy
    • /
    • v.12 no.3
    • /
    • pp.165-172
    • /
    • 2009
  • A set of equations for description of transformation of harmonic waves is proposed here. Velocity potential function and separation of variables are introduced for the derivation. The continuity equation is in a vertical plane is integrated through the water so that a horizontal one-dimensional wave equation is produced. The new equation composed of the complex velocity potential function, further be modified into. A set up of equations composed of the wave amplitude and wave phase gradient. The horizontally one-dimensional equations on the wave amplitude and wave phase gradient are the first and second-order ordinary differential equations. They are solved in a one-way marching manner starting from a side where boundary values are supplied, i.e. the wave amplitude, the wave amplitude gradient, and the wave phase gradient. Simple spatially-centered finite difference schemes are adopted for the present set of equations. The equations set is applied to three test cases, Booij's inclined plane slope profile, Massel's smooth bed profile, and Bragg's wavy bed profile. The present equations set is satisfactorily verified against existing theories including Massel's modified mild-slope equation, Berkhoff's mild-slope equation, and the full linear equation.

  • PDF

Wave Transformation Due to Energy Dissipation Region (에너지 감쇠영역으로 인한 파랑변형)

  • 윤종태
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.11 no.3
    • /
    • pp.135-140
    • /
    • 1999
  • To simulate the wave transformation by an energy dissipation region, a numerical model is suggested by discretizing the elliptic mild-slope equation. Generalized conjugate gradient method is used as solution algorithm to apply parabolic approximation to open boundary condition. To demonstrate the applicabil-ity of the numerical procedure suggested, the wave scattering by a circular damping region is examined. The feature of reflection in front of the damping region is captured clearly by the numerical solution. The effect of the size of dissipation coefficient is examined for a rectangular damping region. The recovery of wave height by diffraction occurs very slowly with distance behind the damping region.

  • PDF

액체 금속로의 가상 사고 해석

  • 석수동;한도희
    • Nuclear industry
    • /
    • v.20 no.6 s.208
    • /
    • pp.31-44
    • /
    • 2000
  • 본 연구에서 액체금속로의 노심용융(core meltdown)으로 인한 초 즉발 임계(super-prompt critical)의 출력 폭주 사고시, 노심의 반응도 및 열수력 특성 변화와 에너지 방출량등을 계산하기 위하여, Bethe-Tait 방버론을 수정, 보완한 분석 모델이 개발되었다. 주요 보완 내용으로서는, 금속 연료 노심의 단상 액체 영역에서의 선형의(Linear) threshold 형태의 상태 방정식뿐만 아니라 포화 증기(saturated fuel vapor) 영역에서의 상태 방정식이 개발되었고, 이에 따른 노심 붕괴 반응도(disassembly reactivity)의 분석 모델이 개발되었다. 또한 도플러 반응도 효과를 고려하기 위한 분석모델도 아울러 개발되었다. 상기 보완 모델을 실행할 수 있는 수치 해석 프로그램이 개발되었고, 이를 활용하여 KALIMER에서 HCDA가 발생하였을 경우 노심에서의 에너지 방출량 계산이 수행되었다. 분석결과 도플러 효과와 포화 증기 영역에서의 압력 증가 및 노심팽창의 중요성이 확인되었다. 도플러 효과가 고려되지 않을 경우 HCDA는 분석된 모든 반응도 삽입률에 대하여 폭발적인 에너지 방출과 함께 사고가 종결되는 것으로 평가되었다. 그러나 도플러 상수가 최적 평가치인 -0.002인 경우 50$/s이하의 반응도 삽입률에서는 노심은 비등점(0.8KJ/g)에 도달치 않았으며, 설계 기준 사고인 100$/s의 경우에도 노심은 포화 증기 영역에 머물고 압력이 급격히 증가하는 단상(single phase)액체 영역의 threshold 값에 미치지 않기 때문에 사고는 핵연료 증기(vapor)의 점진적인 분산과 함께 종결되는 것으로 분석되며, 총 에너지 발생량은 약 1,800MJ로서 기계적 손상 에너지로 전환되는 분율을 고려할 때 KALIMER 원자로 용기의 구조 설계 기준치에 비해 상당한 여유도를 갖는 것으로 평가되었다.

  • PDF

Response Reduction of a SDOF Structure based on Friction Force Ratio of MR Controller (MR제어기의 마찰력비에 따른 단자유도 구조물의 응답감소)

  • Seong, Ji-Young;Min, Kyung-Won
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.23 no.4
    • /
    • pp.435-443
    • /
    • 2010
  • This study presents key parameters for the structure installed with MR controller in reducing its responses. MR controller is regarded as Bingham model of which control forces are frictional and viscous ones. The parameters are identified as friction force ratios, $R_f$ and $R_h$ which are, respectively, ratio of MR controller friction force to static restoring force for free vibration and ratio of the friction force to amplitude of harmonic force. Structure-MR controller system shows nonlinear response behavior due to friction force. Energy balance strategy is adopted to transform the behavior to linear one with equivalent damping ratio. Finally, proposed equivalent linear process is compared to the nonlinear one, which turns out to give acceptably good results.

A Model for Simplified 3-dimensional Analysis of High-speed Train Vehicle (TGV)-Bridge Interactions (고속철도차량(TGV)-교량 상호작용의 단순화된 3차원 해석모델)

  • 최창근;송명관;양신추
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.13 no.2
    • /
    • pp.165-178
    • /
    • 2000
  • The simplified model for 3-dimensional analysis of vehicle-bridge interactions is presented in this study. By using the analysis model which includes the eccentricity of axle loads and the effect of the torsional forces acting on the bridge, the more accurate analysis results of the behavior of the bridge can be obtained. The equations of kinetic energy, potential energy and damping energy are expressed by degrees of freedom of the vehicle and the bridge. And then by applying Lagrange's equations of motion, the equations of motion of the vehicle and the bridge are obtained. By deriving the equations of forces acting on the bridge considering the vehicle-bridge vertical interactions and also by identifying the position of vehicle as time goes by, mass matrix, stiffness matrix, damping matrix and load vector of vehicle-bridge system are constructed in accordance with the position of vehicles. Then using Newmark's β-method(average acceleration), the equations of motion for the total vehicle bridge system are solved.

  • PDF