• 제목/요약/키워드: Energy transport equation

검색결과 193건 처리시간 0.028초

펨토초 레이저가 조사되는 동안의 금속 박막내의 비평형 에너지 전달 현상에 대한 수치해석 연구 (Numerical Investigation on Nonequilibrium Energy Transfer in Thin Metal Film Structures during the Irradiation of Femtosecond Pulse Laser)

  • 심형섭;이성혁
    • 전기학회논문지
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    • 제56권2호
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    • pp.367-373
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    • 2007
  • The present study investigates numerically nonequilibrium energy transfer between electrons and phonons in metal thin films irradiated by ultrashort pulse lasers and it also provides the temporal and spatial variations of electron and phonon temperatures using the well-established two-temperature model(TTM) on the basis of the Boltzmann transport equation(BTE). This article predicts the crater shapes in gold film structures, and compares the results by using two-dimensional energy transport equation. From the results, it is found that nonequilibrium energy transfer between electrons and phonons takes place, and the equilibrium time increases with the increase of laser fluence. On the other hand, above threshold fluence the ablation time doesn't change nearly with increasing fluences. Compared with one-dimensional TTM, it also reveals that the temporal distributions of electron and phonon temperatures at the top surface estimated by using two-dimensional TTM have a similar tendency. The results show that two-dimensional TTM can simulate the crater shape of metals during the irradiation of femtosecond pulse lasers and the absorbed energy is propagated to z-direction faster than to r-direction.

시뮬레이션에 의한 CF4, CH4, Ar혼합기체(混合氣體)에서 전자(電子)에너지분포함수 (A Simulation of the Energy Distribution Function for Electron in CF4, CH4, Ar Gas Mixtures)

  • 김상남
    • 전기학회논문지P
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    • 제52권1호
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    • pp.9-13
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    • 2003
  • Energy Distribution Function in pure $CH_4$, $CF_4$ and mixtures of $CF_4$ and Ar, have been analyzed over a range of the reduced electric field strength between 0.1 and 350[Td] by the two-term approximation of the Boltzmann equation (BEq.) method and the Monte Carlo simulation (MCS). The results of the Boltzmann equation and the Monte Carlo simulation have been compared with the data presented by several workers. The deduced transport coefficients for electrons agree reasonably well with the experimental and simulation data obtained by Nakamura and Hayashi. The energy distribution function of electrons in $CF_4-Ar$ mixtures shows the Maxwellian distribution for energy. That is, $f(\varepsilon)$ has the symmetrical shape whose axis of symmetry is a most probably energy. The measured results and the calculated results have been compared each other.

SF$_6$+$N_2$혼합기체의 전자 이동속도 측정 및 수송계수 해석 (The measurement of electron drift velocity and analysis of transport coefficients in SF$_6$+$N_2$ gas)

  • 하성철;하영선
    • E2M - 전기 전자와 첨단 소재
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    • 제7권6호
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    • pp.462-472
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    • 1994
  • In this paper, electron drift velocity is experimentally measured in SF$_{6}$+N$_{2}$ Gas by induced cur-rent method and quantitaive production of electron transport coefficient is calculated by backward-prolongation of Boltzmann equation. Then electron energy distribution function and attachment coefficients are calculated. This paper can use the electron drift velocity by experimentally and the electron transport coefficient by calculated as a basic data of mixed Gas by comparing and investigating.g.

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Electron Collision Cross Sections for the TRIES Molecule and Electron Transport Coefficients in TRIES-Ar and TRIES-O2 Mixtures

  • Tuoi, Phan Thi;Tuan, Do Anh;Hien, Pham Xuan
    • Journal of the Korean Physical Society
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    • 제73권12호
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    • pp.1855-1862
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    • 2018
  • A reliable set of low-energy electron collision cross sections for the triethoxysilane (TRIES) molecule was derived based on the measured electron transport coefficients for a pure TRIES molecule by using an electron swarm method and a two-term approximation of the Boltzmann equation. The electron transport coefficients calculated using the derived set are in good agreement with experimental value over a wide range of E/N values (ratio of the electric field E to the neutral number density N). The present electron collision cross section set for the TRIES molecule, therefore, is the most reliable so far for plasma discharges and for materials processing using the TRIES molecule. Moreover, the electron transport coefficients for the TRIES-Ar and the $TRIES-O_2$ mixtures were also calculated and analyzed over a wide range of E/N for the first time.

Delta-form-based method of solving high order spatial discretization schemes for neutron transport

  • Zhou, Xiafeng;Zhong, Changming;Li, Fu
    • Nuclear Engineering and Technology
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    • 제53권7호
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    • pp.2084-2094
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    • 2021
  • Delta-form-based methods for solving high order spatial discretization schemes are introduced into the reactor SN transport equation. Due to the nature of the delta-form, the final numerical accuracy only depends on the residuals on the right side of the discrete equations and have nothing to do with the parts on the left side. Therefore, various high order spatial discretization methods can be easily adopted for only the transport term on the right side of the discrete equations. Then the simplest step or other robust schemes can be adopted to discretize the increment on the left hand side to ensure the good iterative convergence. The delta-form framework makes the sweeping and iterative strategies of various high order spatial discretization methods be completely the same with those of the traditional SN codes, only by adding the residuals into the source terms. In this paper, the flux limiter method and weighted essentially non-oscillatory scheme are used for the verification purpose to only show the advantages of the introduction of delta-form-based solving methods and other high order spatial discretization methods can be also easily extended to solve the SN transport equations. Numerical solutions indicate the correctness and effectiveness of delta-form-based solving method.

Chiu의 유속공식에 의한 유속분포계수의 추정 (ESTIMATION OF ENERGY & MOMENTUM COEFFICIENTS IN OPEN CHANNEL BY CHIU'S VELOCITY DISTRIBUTION EQUATION)

  • 추태호
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 1992년도 수공학연구발표회논문집
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    • pp.55-66
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    • 1992
  • 수로단면의 유속분포가 균일하지 않으므로, 에너지 원리의 $\alpha$값과 운동량원리의 $\beta$값 각각에 미치나, 대부분 실무에서는 이들 값을 추정하는 어려움 때문에 통상 1로 가정하여 사용하고 있다. 본 연구에서는 실용적으로 이용할 수 있는 공식을 유도하고, 기존에 사용되고있는 Prandtl-Von Karman 공식과 비교 검토하였으며, 유속분포계수 공식을 유도하기 위하여, 수로 바닥과 수 표면까지도 포함한 전 영역에서 비교적 정확한 유속분포를 나타내는 Chiu의 유속공식을 사용하였다. 또한, 실용적목적을 위해 유속데이타 없이 유속분포 계수를 구하기 위해서 Manning공식과 Chiu공식을 사용하였으며, 실험실 및 현장데이타를 위의 연구에 적용 검증하였다.

볼츠만방정식과 몬테칼로법에 의한 $SiH_4$-Ar 혼합가스의 전자수송계수에 관한 연구 (The Study of Electron Transport coefficients in $SiH_4$-Ar Mixtures by Using Boltzmann Equation Analysis and Monte-Carlo Simulation)

  • 하성철;전병훈
    • 한국전기전자재료학회논문지
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    • 제14권2호
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    • pp.169-174
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    • 2001
  • The electron transport coefficients(the electron drift velocity, W, and the longitudinal and transverse diffusion coefficient, D$_{L}$ and D$_{T}$) in SiH$_4$-Ar mixtures containing 0.5% and 5.0% monosilane were calculated over the E/N range from 0.01 to 300 Td and over the gas pressure range 0.5, 1.0 and 1.5 Torr by the time-of-flight(TOF) method of the Boltzmann equation(BE.) and Monte-Carlo simulation(MCS). The electron energy distribution function in each SiH$_4$-Ar mixtures at E/N=10 Td and L=0.2 cm, which in equilibrium region in the mean electron enregy were compared.red.

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전자군 방법에 이용되는 2항근사와 다항근사 볼츠만 방정식의 적용 (An Application of Two-term and Multi-term Approximation of Boltzmann Equation to Electron Swarm Method)

  • 하성철;전병훈
    • 한국전기전자재료학회논문지
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    • 제15권1호
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    • pp.79-84
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    • 2002
  • An accurate cross sections set is necessary for the quantitatively understanding and modeling of plasma phenomena. By using the electron swarm method, we determine an accurate electron cross sections set for objective atoms or molecule at low electron energy range. It is general calculation that used in this method to an two-term approximation of Boltzmann equation. But it may give erroneous transport coefficients for CF$_4$ molecule treated in this paper having \`C2v symmetry\`, therefore, multi-term approximation of the Boltzmann equation analysis which can consider anisotropic scattering exactly is carried out. It is necessary to require understanding of the fundamental principle of analysis method. Therefore, in this paper, we compared the electron transport coefficients(W and ND$\_$L/) in pure Ar, O$_2$, and CF$_4$ gas calculated by using two-term approximation of the Boltzmann equation analysis code uses the algorithm proposed by Tagashira et al. with those by multi-term approximation by Rubson and Ness which was developed at James-Cook university, and discussed an application and/or validity of the calculation method by comparing these calculated results.

CF4, CH4, Ar 혼합기체의 전자이동속도 (The Drift Velocity of Electrons in CF4, CH4, Ar Mixtures Gas)

  • 김상남
    • 전기학회논문지P
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    • 제60권3호
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    • pp.105-109
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    • 2011
  • Drift Velocity of Electrons in pure $CF_4$, $CH_4$ and mixtures of $CF_4$ and Ar. Have been analyzed over a range of the reduced electric field strength between 0.1 and 350[Td] by the two-term approximation of the Boltzmann equation (BEq.) method and the Monte Carlo simulation (MCS). The results of the Boltzmann equation and the Monte Carlo simulation have been compared with the data presented by several workers. The deduced transport coefficients for electrons agree reasonably well with the experimental and simulation data obtained by Nakamura and Hayashi. The energy distribution function of electrons in $CF_4$-Ar mixtures shows the Maxwellian distribution for energy. That is, f(${\varepsilon}$) has the symmetrical shape whose axis of symmetry is a most probably energy. The measured results and the calculated results have been compared each other.

ANALOG COMPUTING FOR A NEW NUCLEAR REACTOR DYNAMIC MODEL BASED ON A TIME-DEPENDENT SECOND ORDER FORM OF THE NEUTRON TRANSPORT EQUATION

  • Pirouzmand, Ahmad;Hadad, Kamal;Suh, Kune Y.
    • Nuclear Engineering and Technology
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    • 제43권3호
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    • pp.243-256
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    • 2011
  • This paper considers the concept of analog computing based on a cellular neural network (CNN) paradigm to simulate nuclear reactor dynamics using a time-dependent second order form of the neutron transport equation. Instead of solving nuclear reactor dynamic equations numerically, which is time-consuming and suffers from such weaknesses as vulnerability to transient phenomena, accumulation of round-off errors and floating-point overflows, use is made of a new method based on a cellular neural network. The state-of-the-art shows the CNN as being an alternative solution to the conventional numerical computation method. Indeed CNN is an analog computing paradigm that performs ultra-fast calculations and provides accurate results. In this study use is made of the CNN model to simulate the space-time response of scalar flux distribution in steady state and transient conditions. The CNN model also is used to simulate step perturbation in the core. The accuracy and capability of the CNN model are examined in 2D Cartesian geometry for two fixed source problems, a mini-BWR assembly, and a TWIGL Seed/Blanket problem. We also use the CNN model concurrently for a typical small PWR assembly to simulate the effect of temperature feedback, poisons, and control rods on the scalar flux distribution.