• Title/Summary/Keyword: 볼쯔만방정식

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The Analysis of the Electron Drift Velocity and Characteristics Energy in $SiH_4$ Plasma gas by Electron Swarm method (전자 Swarm법에 의한 $SiH_4$ 플라즈마의 전자이동속도 및 특성에너지 해석)

  • 이형윤;백승권;하성철
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.12 no.1
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    • pp.88-93
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    • 1999
  • This paper describes the electron transport characteristics in $SiH_4$ gas calculated for the range of E/n:0.5~300(Td) and Pressure:0.5, 1, 2.5(Torr) by the Monte carlo simulation and Boltzmann equation method using a set of electron collision cross sections determined by the reported results. The motion has been calculated to give swarm parameters for the electron drift velocity, longitudinal and transverse diffusion coefficients, the electron ionization coefficients, characteristics energy and the electron energy distribution function. The electron energy distributions function has been analysed in $SiH_4$ at E/N: 30, 50(Td)for a case of the equilibrium region in the mean electron energy and respective set of electron collision cross sections. The results of Monte carlo simulation and Boltzmann equation have been compared with experimental data by ohmori ad Pollock.

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Numerical Technique to Analyze the Flow Characteristics of a Propeller Using Immersed Boundary Lattice Boltzmann Method (가상경계 격자볼쯔만법을 이용한 프로펠러의 유동특성해석 방법에 관한 연구)

  • Kim, Hyung Min
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.40 no.7
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    • pp.441-448
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    • 2016
  • The thrust force created by a propeller depends on the incoming flow velocity and the rotational velocity of the propeller. The performance of the propeller can be described by dimensionless variables, advanced ratio, thrust coefficient, and power coefficient. This study included the application of the immersed boundary lattice Boltzmann method (IBLBM) with the stereo lithography (STL) file of the rotating object for performance analysis. The immersed boundary method included the addition of the external force term to the LB equation defined by the velocity difference between the lattice points of the propeller and the grid points in the domain. The flow by rotating a 4-blade propeller was simulated with various Reynolds numbers (Re) (including 100, 500 and 1000), with advanced ratios in the range of 0.2~1.4 to verify the suggested method. The typical tendency of the thrust efficiency of the propeller was obtained from the simulation results of different advanced ratios. It was also necessary to keep the maximum mesh size ratio of the propeller surface to a grid size below 3. Additionally, a sufficient length of the downstream region in the domain was maintained to ensure the numerical stability of the higher Re and advanced ratio flow.

A Study on the Flow Structures in the Narrow Region (난접근 영역에서의 유동구조)

  • Ih, Kang-Duck
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.11a
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    • pp.570-575
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    • 2008
  • Flows are studied to understand the flow structure in the narrow region that any experimental approaches are hard to access, Effects on the vehicle commodities from the flows are anticipated in the point of aerodynamics and aero-acoustics. PowerFLOW, which was well validated commercial software, was used to simulate the flow field in the small region, for example, the inner region of the fender panel, the inner region around the front door and the inner region of the trunk lid. Flows in the narrow region could be origins of door sealing problem and dust piling problem.

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The analysis of electron energy distribution function using the approximated collision cross section in the low-pressure mercury discharge (저압 수은 방전에서의 근사화한 충돌 단면적을 사용한 전자 에너지 분포함수 해석)

  • 류명선;이진우;지철근
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.3 no.4
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    • pp.49-56
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    • 1989
  • 약 이온화되어 있는 기체 방전에서 전자 에너지 분포함수는 계산상 어려움으로 인하여 맥스웰 분포를 가정하나 이러한 가정은 실제 방전내의 전자 에너지 분포함수와 차이를 보이게 된다. 본 논문에서는 저압 수은 방전에 대하여 전자온도, 관벽온도, 전자밀도, 포화증기압밀도를 변수로 사용하여 볼쯔만식을 해석하였다. 구성된 방정식으로부터 정상상태를 가정하여 구한 전자 에너지 분포함수는 보통 적용하는 맥스웰 분포와 꼬리부분에서는 많은 차이를 보였다. 특히 충돌 단면적을 에너지의 함수로 근사하여 식을 간략화함으로써 분포함수를 간편하게 구할 수 있으며 광범위하게 적용할 수 있는 방법을 제안하였다. 또한 명확한 이론에 근거한 해석적 모델을 제시하여 분포함수의 해석을 용이하게 하고 계산과정을 간편하게 하였다.

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DYNAMICAL MODELS OF SPHERICAL GALAXIES WITH MASSIVE HALO (무거운 헤일로를 가진 구형 은하의 역학 모형)

  • 천문석;고훈성;손영종
    • Journal of Astronomy and Space Sciences
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    • v.20 no.1
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    • pp.63-82
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    • 2003
  • Using the Schwarzschild's linear programming technique, we obtained the general solutions of the collisionless Bolzmann equation describing the spherical galaxy in dynamical equilibrium. From this calculation we have confirmed the existence of isotropic spherical galaxies obeying a de Vaucouleurs'law which includes a dark halo. The flattening profile of the velocity dispersion curve seen in the elliptical galaxies can be explained as the increase of mass to light ratio in this dark matter. The space density distribution of this dark matter shows that the core radius of the dark matter is smaller than the effective radius of the galaxy.

A Study on the electron energy diffusion function of the sulphur hexaflouride ($ SF_6$가스의 전자에너지 분포함수에 관한 연구)

  • 김상남;하성철
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.13 no.2
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    • pp.95-101
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    • 1999
  • The electron energy distributions function were analysed in sulIitur hexaflowide at E/N : 500~800(Td) for a case of non-equilibrium region in the nran electron energy. This papa- describes the electron transport characteristics in $ SF_6$ gas calculated for range of E/N values from 150~800(Td) by the Monte Carlo simulation and Boltzmann equation Irethod using a set of electron collision cross sectioos determined by the authors and the values of electron swarm parameters. The results gained that the value of an electron swarm parameter such as the electron drift velocity, the electron ionization or attachment coefficients, longitudinal and transverse diffusion coefficients agree with the experimental and theoretical for a range of E/N. The properties of electron avalanches in an electron energy non-equilibrium region.region.

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Analysis of Dimension Dependent Subthreshold Swing for FinFET Under 20nm (20nm이하 FinFET의 크기변화에 따른 서브문턱스윙분석)

  • Jung, Hak-Kee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.10
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    • pp.1815-1821
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    • 2006
  • In this paper, the subthreshold swing has been analyzed for FinFET under channel length of 20nm. The analytical current model has been developed , including thermionic current and tunneling current models. The potential distribution by Poisson equation and carrier distribution by Maxwell-Boltzman statistics are used to calculate thermionic emission current and WKB(Wentzel-Kramers-Brillouin) approximation to tunneling current. The cutoff current is obtained by simple adding two currents since two current is independent. The subthreshold swings by this model are compared with those by two dimensional simulation and two values agree well. Since the tunneling current increases especially under channel length of 10nm, the characteristics of subthreshold swing is degraded. The channel and gate oxide thickness have to be fabricated as am as possible to decrease this short channel effects, and this process has to be developed. The subthreshold swings as a function of channel doping concentrations are obtained. Note that subthreshold swings are resultly constant at low doping concentration.

A study on the electron ionization and attachment coefficients ins $SF_6$ gas ($SF_6$ 가스의 전리 및 부착계수에 관한 연구)

  • Seo, Sang-Hyeon;Yu, Heoi-Young;Kim, Sang-Nam;Ha, Sung-Chul
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.10 no.6
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    • pp.96-103
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    • 1996
  • This paper describes the electron transport characteristics in SF6 gas calculated for range of E/N values from 150~ 800[Td) by the Monte Carlo simulation and Boltzmann equation method using a set of electron collision cross sections detennined by the authors and the values of electron swarm parameters are obtained by TOF method. The results gRined that the values of the electron swarm parameters such as the electron drift velocity, the electron ionization or Rttachment coefficients, longitudinal and transverse diffusion coefficients agree with the experimental and theoretical for a range of E/N. The properties of electron avalanches is concerned electron energy non--equilibrium region. The electron energy distributions function were analysed in sulphur hexafluoride at E/N : 500~800[Td) for a case of non-equilibrium region in the mean electron energy. The validity of the results obtained has been confilll1ed by a TOF method.

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Analysis of Dimension Dependent Subthreshold Swing for Double Gate FinFET Under 20nm (20nm이하 이중게이트 FinFET의 크기변화에 따른 서브문턱스윙분석)

  • Jeong Hak-Gi;Lee Jong-In;Joung Dong-Su
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2006.05a
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    • pp.865-868
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    • 2006
  • In this paper, the subthreshold swing has been analyzed for double gate FinFET under channel length of 20nm. The analytical current model has been developed, including thermionic current and tunneling current models. The potential distribution by Poisson equation and carrier distribution by Maxwell-Boltzman statistics are used to calculate thermionic emission current, and WKB(Wentzel-Framers-Brillouin) approximation to tunneling current. The cutoff current is obtained by simple adding two currents since two current is independent. The subthreshold swings by this model are compared with those by two dimensional simulation and two values are good agreement. Since the tunneling current increases especially under channel length of 10nm, the characteristics of subthreshold swing is degraded. The channel and gate oxide thickness have to be fabricated as thin as possible to decrease this short channel effects and this process has to be developed. The subthreshold swings as a function of channel doping concentrations are obtained.

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Analysis of Dimension Dependent Threshold Voltage Roll-off for Nano Structure Double Gate FinFET (나노구조 이중게이트 FinFET의 크기변화에 따른 문턱전압이동 분석)

  • Jeong Hak-Gi;Lee Jae-Hyung;Joung Dong-Su
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2006.05a
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    • pp.869-872
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    • 2006
  • In this paper, the threshold voltage roll-off been analyzed for nano structure double gate FinFET. The analytical current model has been developed , including thermionic current and tunneling current models. The potential distribution by Poisson equation and carrier distribution by Maxwell-Boltzman statistics are used to calculate thermionic emission current, and WKB(Wentzel- framers-Brillouin) approximation to tunneling current. The threshold voltage roll-offs are obtained by simple adding two currents since two current is independent. The threshold voltage roll-off by this model are compared with those by two dimensional simulation and two values are good agreement. Since the tunneling current increases especially under channel length of 10nm, the threshold voltage roll-off Is very large. The channel and gate oxide thickness have to be fabricated as thin as possible to decrease this short channel effects and this process has to be developed.

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