• Title/Summary/Keyword: effective diffusion coefficients

Search Result 59, Processing Time 0.022 seconds

Implementation of local model for non-local impact ionization (Non-local impact ionization 현상해석을 위한 local model 개발)

  • 염기수
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
    • /
    • 1999.05a
    • /
    • pp.385-388
    • /
    • 1999
  • A new local model for impact ionization coefficients is proposed to account for a non-local effect. New model uses an effective electric field which comes from the path integral of a tangent electric field at an arbitrary point. The model consists of local variables, such as doping concentration, carrier concentration and gradient of the field, and can be easily applied to a conventional drift-diffusion device simulator. By comparing the results with Monte Carlo simulation, it is confirmed that new model explains the non-local effect fairly well.

  • PDF

Calibration Methodology for Transient Enhanced Diffusion of indium

  • Jun Ha, Lee;Gi Ryang, Byeon;Hyeon Chan, Jo;Gwang Seon, Kim
    • Proceedings of the Korean Society Of Semiconductor Equipment Technology
    • /
    • 2003.12a
    • /
    • pp.31-34
    • /
    • 2003
  • We developed a new systematic calibration procedure which was applied to the calibration of the diffusivity, segregation and TED model of the indium impurity. The TED of the indium impurity has been studied using 4 different groups of experimental conditions. Although the indium is susceptible to the TED, the RTA is effective to suppress the TED effect and maintain a steep retrograde profile. Like the boron, the indium shows significant oxidation-enhanced diffusion in silicon and has segregation coefficients at the $Si/SiO_2$ interface much less than 1. In contrast, however, the segregation coefficient of indium decreases as the temperature increases. The accuracy of the proposed technique is validated by SIMS data with errors less than 5% between simulation and experiment.

  • PDF

Electron Energy Distribution Function in $CF_4$ Gas used by MCS-BE Algorithm ($CF_4$ 기체의 MCS-BEq 알고리즘에 의한 전자에너지 분포함수)

  • Park, Jae-Sae;Kim, Sang-Nam;Kim, Il-Nam
    • Proceedings of the KIEE Conference
    • /
    • 2002.06a
    • /
    • pp.102-105
    • /
    • 2002
  • In this paper, the electron transport characteristics in $CF_4$ has been analysed over the E/N range 1${\sim}$300 [Td] by a two-term approximation Boltzmann equation method and by a Monte Carlo simulation. The motion has been calculated to give swarm parameters for the electron drift velocity, longitudinal diffusion coefficient, the ratio of the diffusion coefficient to the mobility, electron ionization and attachment coefficients, effective ionization coefficient, mean energy, collision frequency and the electron energy distribution function. The swarm parameter from the swarm study are expected to serve as a critical test of current theories of low energy electron scattering by atoms and molecules, in particular, as well as crucial information for quantitative simulations of weakly ionized plasmas.

  • PDF

A Study of the Insulation Characteristic in $CF_4$ Gas (시뮬레이션에 의한 $CF_4$ 기체의 전자수송특성)

  • Kim, Sang-Nam;Hwang, Cheong-Ho
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2007.06a
    • /
    • pp.468-469
    • /
    • 2007
  • In this paper, the electron transport characteristics in $CF_4$ has been analysed over the E/N range 1~300[Td] by a two-tenn approximation Boltzmann equation method and by a Monte Carlo simulation. The motion has been calculated to give swarm parameters for the electron drift velocity, longitudinal diffusion coefficient, the ratio of the diffusion coefficient to the mobility, electron ionization and attachment coefficients, effective ionization coefficient, mean energy, collision frequency and the electron energy distribution function. The swarm parameter from the swarm study are expected to serve as a critical test of current theories of low energy electron scattering by atoms and molecules, in particular, as well as crucial information for quantitative simulations of weakly ionized plasmas.

  • PDF

Molecular Diffusion of Water in Paper (IV) - Mathematical model and fiber-phase moisture diffusivities for unsteady-state moisture diffusion through paper substrates - (종이내 수분확산 (제4보) - 종이의 비정상상태 수분확산 모델과 섬유상 수분확산 계수 -)

  • 윤성훈;박종문;이병철
    • Journal of Korea Technical Association of The Pulp and Paper Industry
    • /
    • v.34 no.3
    • /
    • pp.17-24
    • /
    • 2002
  • An unsteady-state moisture diffusion through cellulosic fibers in paper was characterized from the moisture sorption experiment and the mathematical modeling. The sorption experiment was conducted by exposing thin dry paper specimens to a constant temperature-humidity environment. Oven dried blotting papers and filter papers were used as test samples and the gains of their weights were constantly monitored and recorded as a function of sorption time. For a mathematical approach, the moisture transport was assumed to be an one-dimensional diffusion in thickness direction through the geometrically symmetric structure of paper. The model was asymptotically simplified with a short-term approximation. It gave us a new insight into the moisture uptake phenomena as a function of square root of sorption time. The fiber-phase moisture diffusivities(FPMD) of paper samples were then determined by correlating the experimental data with the unsteady-state diffusion model obtained. Their values were found to be on the order of magnitude of $10^{-6}-10^{-7}cm^2$/min., which were equivalent to the hypothetical effective diffusion coefficients at the limit of zero porosity. The moisture sorption curve predicted from the model fairly agreed with that obtained from the experiment at some limited initial stages of the moisture uptake process. The FPMD value of paper significantly varied depending upon the current moisture content of paper. The mean FPMD was about 0.7-0.8 times as large as the short-term approximated FPMD.

Liquid Phase Adsorption of Activated Carbon Fibers (활성탄소섬유의 액상흡착)

  • Moon, Dong Cheul;Kim, Chang Soo;Park, Il Yeong;Kim, Mi Ran;Hong, Seung Soo;Lee, Kwang Ho;Lee, Chang Gi
    • Analytical Science and Technology
    • /
    • v.13 no.5
    • /
    • pp.573-583
    • /
    • 2000
  • Activated carbon fibers (ACFs) were prepared from various precursors of plantic, synthetic, and mixed fabrics of viscous rayon and cotton. Their adsorption performances of phenol and methylene blue in aqueous phase were evaluated through their adsorption isotherms, adsorption rates and breakthrough curves. The two adsorbates showed type I adsorption isotherm on ACFs. Adsorption rates to ACFs were 100 fold faster than to GAC. The effective diffusion coefficients of the adsorbates in ACFs were twenty fold greater than in GAC. The ACFs removed completely ten organic pollutants from a prepared water specimens through the 2nd column of a natural filtration method where 50 L of the water samples were treated.

  • PDF

Modeling for Vacuum Drying Characteristics of Onion Slices

  • Lee, Jun-Ho;Kim, Hui-Jeong
    • Food Science and Biotechnology
    • /
    • v.18 no.5
    • /
    • pp.1293-1297
    • /
    • 2009
  • In this study, drying kinetics of onion slices was examined in a laboratory scale vacuum dryer at an air temperature in a range of $50-70^{\circ}C$. Moisture transfer from onion slices was described by applying the Fick's diffusion model, and the effective diffusivity was calculated. Temperature dependency of the effective diffusivity during drying process obeyed the Arrhenius relationship. Effective diffusivity increased with increasing temperature and the activation energy for the onion slices was estimated to be 16.92 kJ/mol. The experimental drying data were used to fit 9 drying models, and drying rate constants and coefficients of models tested were determined by non-linear regression analysis. Estimations by the page and Two-term exponential models were in good agreement with the experimental data obtained.

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

  • 김상남;하성철
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2000.11a
    • /
    • pp.591-593
    • /
    • 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

  • PDF

Heat and mass transfer analysis in air gap membrane distillation process for desalination

  • Pangarkar, Bhausaheb L.;Sane, Mukund G.
    • Membrane and Water Treatment
    • /
    • v.2 no.3
    • /
    • pp.159-173
    • /
    • 2011
  • The air gap membrane distillation (AGMD) process was applied for water desalination. The main objective of the present work was to study the heat and mass transfer mechanism of the process. The experiments were performed on a flat sheet module using aqueous NaCl solutions as a feed. The membrane employed was hydrophobic PTFE of pore size 0.22 ${\mu}m$. A mathematical model is proposed to evaluate the membrane mass transfer coefficient, thermal boundary layers' heat transfer coefficients, membrane / liquid interface temperatures and the temperature polarization coefficients. The mass transfer model was validated by the experimentally and fitted well with the combined Knudsen and molecular diffusion mechanism. The mass transfer coefficient increased with an increase in feed bulk temperature. The experimental parameters such as, feed temperature, 313 to 333 K, feed velocity, 0.8 to 1.8 m/s (turbulent flow region) were analyzed. The permeation fluxes increased with feed temperature and velocity. The effect of feed bulk temperature on the boundary layers' heat transfer coefficients was shown and fairly discussed. The temperature polarization coefficient increased with feed velocity and decreased with temperature. The values obtained were 0.56 to 0.82, indicating the effective heat transfer of the system. The fouling was observed during the 90 h experimental run in the application of natural ground water and seawater. The time dependent fouling resistance can be added in the total transport resistance.

Estimation of Nonlinear Adsorption Isotherms and Advection-Dispersion Model Parameters Using Genetic Algorithm (유전자 알고리즘을 이용한 비선형 흡착 식 및 이류-확산 모델 파라미터 추정)

  • Do, Nam-Young;Lee, Seung-Rae;Park, Hyun-Il
    • Journal of the Korean GEO-environmental Society
    • /
    • v.7 no.1
    • /
    • pp.41-53
    • /
    • 2006
  • In this study, estimation of nonlinear adsorption isotherms(Langmuir & Freundlich adsorption isotherm) and advection-dispersion model parameters was conducted using genetic algorithm(GA) for Zn and Cd adsorption. Estimated parameters of nonlinear adsorption isotherms, which were obtained from the optimization process using genetic algorithm(GA), are nearly same with the parameters obtained from a linearization process of the nonlinear isotherms. Estimated effective diffusion coefficients, which were obtained from a finite element analysis of the advection-dispersion model and an optimization procedure using the genetic algorithm, for the metals were approximately in the order of $10^{-7}cm^2/s$ which could be obtained based on the linear distribution coefficient. The effective diffusion coefficients based on the nonlinear retardation factors were in the range of $10^{-6}{\sim}10^{-5}cm^2/s$. As a result, the correlation coefficient obtained between the measured and calculated concentration was over 0.9 which means that the genetic algorithm should be successfully applied to estimate the unknown parameters of the nonlinear adsorption isotherms and advection-dispersion model.

  • PDF