• 제목/요약/키워드: Boltzmann distribution

검색결과 112건 처리시간 0.023초

SF6+Ar혼합기체의 MCS-BEq에 의한 전자분포함수 (Energy Distribution Function for Electrons in SF6+Ar Mixtures Gas used by MCS-BEQ Algorithm)

  • 김상남
    • 전기학회논문지P
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    • 제51권1호
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    • pp.28-32
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    • 2002
  • Energy distribution function for electrons in $SF_6+Ar$ mixtures gas used by MCS-BEq algorithm bas been analysed over the E/N range 30-300[Td] by a two term Boltzmann equation and by a Monte Carlo Simulation using a set of electron cross sections determined by other authors, experimentally the electron swarm parameters for 0.2[%] and 0.5[%] $SF_6+Ar$ mixtures were measured by time-of-flight(TOF) method. The results show that the deduced electron drift velocities, the electron ionization or attachment coefficients, longitudinal and transverse diffusion coefficients and mean energy agree reasonably well with theoretical for a rang of E/N values.

정전효과가 있는 가열 회전원판으로의 입자침착 해석 (Analysis on Particle Deposition onto a Heated Rotating Disk with Electrostatic Effect)

  • 유경훈
    • 설비공학논문집
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    • 제14권5호
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    • pp.424-432
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    • 2002
  • Numerical analysis has been conducted to characterize deposition rates of aerosol particles onto a heated, rotating disk with electrostatic effect under the laminar flow field. The particle transport mechanisms considered were convection, Brownian diffusion, gravitational settling, thermophoresis and electrophoresis. The aerosol particles were assumed to have a Boltzmann charge distribution. The electric potential distribution needed to calculate local electric fields around the disk was calculated from the Laplace equation. The Coulomb, the image, the dielectrophoretic and the dipole-dipole forces acting on a charged particle near the conducting rotating disk were included in the analysis. The averaged particle deposition vetocities and their radial distributions on the upper surface of the disk were calculated from the particle concentration equation in a Eulerian frame of reference, along with a rotation speed of 0∼1,000rpm, a temperature difference of 0∼5K and a charged disk voltage of 0∼1000V.Finally, an approximate deposition velocity model for the rotating disk was suggested. The present numerical results showed relatively good agreement with the results of the present approximate model and the available experimental data.

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

  • 류명선;이진우;지철근
    • 한국조명전기설비학회:학술대회논문집
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    • 한국조명전기설비학회 1989년도 추계학술발표회논문집
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    • pp.19-24
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    • 1989
  • The electron energy distribution function in mercury discharge positive columns are calculated numerically from the Boltzmann eqation under a set of parameters, such as the electron temperature to. the atomic temperature Tw. the electron number density no. and the electric field E. Especially, using the approximation that collision cross sections only depend on the energy, the calculated electron energy distribution function was shown that it falls off rapidly in the high energy tail.

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Gerdien 이온측정기를 이용한 에어로졸의 하전 특성 분석에 관한 연구 (Study on electrical charge distribution of aerosol using a Gerdien ion counter)

  • 조윤행;심준목;신일경;육세진;박현설
    • 한국입자에어로졸학회지
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    • 제14권1호
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    • pp.17-24
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    • 2018
  • Since the motion of the charged particle strongly depends on its charge characteristics, information on charge distributions of target particles is one of the important variables in aerosol research. In this study, charged distribution of atomized NaCl particles were measured using a Gerdien type ion counter. Two kinds of particle charging conditions were used in this study. First, atomized NaCl particles were passed through an aerosol neutralizer to have a Boltzmann charge distribution, and then its charge distribution was measured. In this case, the portion of uncharged particles was compared with the portion obtained from the Boltzmann charge distribution for verifying the suggested experimental method. Second, same experiment was conducted without the aerosol neutralizer to measure the charge distribution of atomized and un-neutralized NaCl particles. In the conclusion, the portion of uncharged, negatively charged and positively charged particles were 19%, 62% and 20%, respectively, for neutralized particles. The atomized particles, which was generated without the aerosol neutralizer, also had almost a zero charge state, but the standard deviation in charge distribution was larger than that of neutralized particles. The test method proposed in this study is expected to be used in various aerosol research fields because it can obtain simple information on the particle charge characteristics more easily and quickly than the existing test methods.

격자 볼츠만법을 이용한 리튬이온전지의 활물질 혼합비에 대한 함침성의 영향 (Effect of Mixing Ratio of Active Material on the Wettability in Lithium-Ion Battery Using Lattice Boltzmann Method)

  • 전동협
    • 대한기계학회논문집B
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    • 제40권1호
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    • pp.47-53
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    • 2016
  • 격자 볼츠만법을 이용하여 리튬이온전지의 전극 내 발생하는 전해액 함침 현상에 관하여 연구하였다. 최근 리튬이온전지는 용량 증가 및 에너지밀도 향상을 위하여 전극 설계시 활물질에 미세입자를 혼합하고 있어, 이로 인하여 전해액 함침성에 영향을 미치게 될 수 있다. 본 연구에서는 활물질 혼합율에 따른 전해액 분포와 포화도 변화를 알아보았다. 활물질 혼합비의 변화는 전극 내 전해액 함침 메커니즘에 영향을 주어, 전해액 함침속도와 함침도가 변화함을 확인하였다.

Numerical Simulation of Three-Dimensional Motion of Droplets by Using Lattice Boltzmann Method

  • Alapati, Suresh;Kang, Sang-Mo;Suh, Yong-Kweon
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 춘계학술대회논문집
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    • pp.2-5
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    • 2008
  • This study describes the numerical simulation of three-dimensional droplet formation and the following motion in a cross-junction microchannel by using the Lattice Boltzmann Method (LBM). Our aim is to develop the three-dimensional binary fluids model, consisting of two sets of distribution functions to represent the total fluid density and the density difference, which introduces the repulsive interaction consistent with a free-energy function between two fluids. We validated the LBM code with the velocity profile in a 3-dimensional rectangular channel. Then, we applied our code to the numerical simulation of a binary fluid flow in a cross-junction channel focusing on the investigation of the droplet formulation. Due to the pressure and interfacial-tension effect, one component of the fluids which is injected from one inlet is cut off into many droplets periodically by the other component which is injected from the other inlets. We considered the effect of the boundary conditions for density difference (order parameter) on the wetting of the droplet to the side walls.

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격자 볼츠만법을 이용한 리튬이온전지의 전극내 전해액 함침현상에 관한 수치적 연구 (Numerical Study of Electrolyte Wetting Phenomena in the Electrode of Lithium Ion Battery Using Lattice Boltzmann Method)

  • 이상건;전동협
    • 대한기계학회논문집B
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    • 제38권4호
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    • pp.357-363
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    • 2014
  • 리튬이온전지의 다공성 전극내에서 전해액 주입 후 발생하는 함침현상에 관하여 격자 볼츠만법을 이용하여 수치해석적으로 연구하였다. 다공성 전극은 전극 제조 중 압연공정을 거치므로 압축된 전극의 공극률과 두께변화가 발생하여 전해액 함침성에 영향을 미치게 된다. 본 연구에서는 2 차원 격자 볼츠만법을 통하여 압축률에 따른 전해액 분포와 포화도 변화를 제시하였다. 압축된 전극에서의 전해액 침투경로의 변화는 기공의 두께방향 크기 감소에 기인하며, 따라서 전극의 함침성이 크게 감소하였음을 확인하였다.

$SiH_4-Ar$ 혼합기체의 평균 에너지에 관한 연구 (Analysis of the Mean Energy in $SiH_4-Ar$ Mixture Gases)

  • 김상남
    • 전기학회논문지P
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    • 제55권2호
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    • pp.57-61
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    • 2006
  • This paper calculates and gives the analysis of mean energy in pure $SiH_4,\;Ar-SiH_4$ mixture gases ($SiH_4-0.5[%],\;5[%]$) over the range of $E/N =0.01{\sim}300[Td]$, p = 0.1, 1, 5.0 [Torr] by Monte Carlo the Backward prolongation method of the Boltzmann equation using computer simulation without using expensive equipment. The results have been obtained by using the electron collision cross sections by TOF, PT, SST sampling, compared with the experimental data determined by the other author. It also proved the reliability of the electron collision cross sections and shows the practical values of computer simulation. The calculations of electron swarm parameters require the knowledge of several collision cross-sections of electron beam. Thus, published momentum transfer, ionization, vibration, attachment, electronic excitation, and dissociation cross-sections of electrons for $SiH_4$ and Ar, were used. The differences of the transport coefficients of electrons in $SiH_4$, mixtures of $SiH_4$ and Ar, have been explained by the deduced energy distribution functions for electrons and the complete collision cross-sections for electrons. A two-term approximation of the Boltzmann equation analysis and Monte Carlo simulation have been used to study electron transport coefficients.

$SF_6$+Ar 혼합기체의 전리 및 부착계수에 관한 연구 (The Study on the Electron ionization and Attachment Coefficients in $SF_6$+Ar Mixtures Gas)

  • 김상남;하성철
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2000년도 추계학술대회 논문집
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    • pp.591-593
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    • 2000
  • In this paper, we describe the results of a combined experimental theoretical study designed to understand and predict the dielectric properties of SF$_{6}$ and SF$_{6}$+Ar mixtures. The electron transport, ionization, and attachment coefficients for pure SF$_{6}$ and gas mixtures containing SF$_{6}$ has been analysed over the E/N range 30~300[Td] by a two term Boltzmann equation and by a Monte Carlo Simulation using a set of electron cross sections determined by other authors, experimentally the electron swarm parameters for 0.2[%] and 0.5[%] SF$_{6}$+Ar mixtures were measured by time- of- flight method, The results show that the deduced electron drift velocities, the electron ionization or attachment coefficients, longitudinal and transverse diffusion coefficients and mean energy agree reasonably well with the experimental and theoretical for a rang of E/N values. Electron energy distribution functions computed from numerical solutions of the electron transport and reaction coefficients as functions of E/N. We have calculated $\alpha$,η and $\alpha$-η the ionization, attachment coefficients, effective ionization coefficients, and (E/N), the limiting breakdown electric-field to gas density ratio, in SF$_{6}$ and SF$_{6}$+Ar mixtures by numerically solving the Boltzmann equation for the electron energy distribution. The results obtained from Boltzmann equation method and Monte Carlo simulation have been compared with present and previously obtained data and respective set of electron collision cross sections of theections of the

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Lattice Boltzmann Method를 이용한 2차원 자유수면 시뮬레이션 기법연구 (Feasibility Study on the Two-dimensional Free Surface Simulation Using the Lattice-Boltzmann Method)

  • 정노택
    • 한국해양환경ㆍ에너지학회지
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    • 제15권4호
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    • pp.273-280
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    • 2012
  • 전산유체역학의 격자볼츠만법은 Navier-Stokes방정식의 시뮬레이션 기법 보다 비교적 간략한 이산화 방식으로 인하여 공학적 응용성을 더욱 넓혀 가고 있다. 본 논문에서는 단일 완화계수 및 D2Q9 방식으로 중력장하에서 액체영역에서의 다이나믹스만 계산하는 자유수면 시뮬레이션을 수행하였으며, 그 활용성을 검증하였다. 자유표면의 재구성방법, 분포함수의 조합으로 이루어진 경계조건, 표면장력, 중력장의 안정화, 격자의존성, 자유수면 끝단의 하단 벽면 이동 검증등을 수행하였으며, 그 결과치가 실험치의 데이터와 일치함을 보였다.