• Title/Summary/Keyword: The Boltzmann equation

Search Result 219, Processing Time 0.025 seconds

DeNOx modeling in $N_{2}/O_{2}$ gas by pulsed corona discharge ($N_{2}/O_{2}$ 혼합가스에서 펄스코로나 방전을 이용한 NOx 제거 모델링에 관한 연구)

  • Park, Kwang-Seo;Lee, Hyoung-Sang;Chun, Bae-Hyeock;Shin, Hyun-Ho;Yoon, Woong-Sup;Chun, Kwang-Min
    • 한국연소학회:학술대회논문집
    • /
    • 1999.10a
    • /
    • pp.117-128
    • /
    • 1999
  • The removal of nitrogen oxides(NOx) from $N_{2}/O_{2}$ gas using a pulsed corona discharge was investigated as a function of the reduced electric field(E/N) and the energy density(J/L). A kinetic model was developed to characterize the chemical reactions taking place in a pulsed corona discharge reactor. The model calculates the fractional concentrations of radical species at each pulse-on period and utilizes the radicals to remove NOx for the subsequent pulse-off period. Electron collision reaction data are calculated using ELENDIF program to solve Boltzmann equation for electron energy distribution function, and the subsequent chemical reactions are calculated using CHEMKIN-II program to solve stiff ODE(ordinary differential equation) problems for species concentrations. The corona discharge energy per pulse and the time-space averaged E/N were obtained by fitting the model to experimental data. The model calculation shows good agreement with the experimental data, and predicts the formation of other species such as $NO_{2}$, $O_{3}$ and $N_{2}O$.

  • PDF

Effect of Propene($C_3H_6$) ON NO-$NO_2$ Conversion Process in a Pulsed Corona Discharge (펄스코로나 방전에서 프로핀($C_3H_6$)이 NO-$NO_2$ 변환에 미치는 영향에 관한 연구)

  • 박광서;전배혁;전광민
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.8 no.5
    • /
    • pp.67-77
    • /
    • 2000
  • Investigated was the effect of propene(C3H6) on the NO-NO2 conversion in dry exhaust gases from lean burn engine using a pulsed corona discharge. A kinetic model was developed to characterize the plasma chemistry in simulated exhausts containing propene. The model uses ELENDIF program to solve Boltzmann equation for electron energy distribution function, and CHEMKIN-II program to solve stiff ODE(ordinary differential equation) problems for species concentrations. The corona discharge energy per pulse and the time-space averaged E/N were obtained by fitting the model to experimental data. The model calculation shows good agreement for NO and NO2 concentrations with the experimental data, and predicts the formation of byproducts such as CH2O, CH3HCO, CO AND CH3NO2 Propene enhances the NOx conversion enormously at lower energy density and the NOx conversion increases with the increase of initial propene and oxygen concentration, and temperature.

  • PDF

Sensitivity Analysis of Effective Viscosity Coefficients for Computing Characteristics of Ultrathin Gas Film Bearings (초미세 틈새의 기체 베어링 해석용 유효 점도의 표현식과 관련 계수들의 민감도 해석)

  • Kim, Ui Han;Rhim, Yoon Chul
    • Tribology and Lubricants
    • /
    • v.30 no.1
    • /
    • pp.15-20
    • /
    • 2014
  • A more accurate expression for effective viscosity is obtained using a linear regression of the data from Fukui-Kaneko's model, which are obtained through numerical calculations based on the linearized Boltzmann equation. Veijola and Turowski's expression is adopted as a base function for effective viscosity. The four coefficients in that equation are optimized, and sensitivity analysis is conducted for these coefficients. The results show that the coefficient for the first-order Knudsen number is the most accurate, whereas the coefficient in the exponential of the Knudsen number is the least accurate compared with Fukui-Kaneko's results. The expression for effective viscosity is accurate within 0.02% rms of Fukui-Kaneko's results for the inverse Knudsen numbers from 0.01 to 100 and surface accommodation coefficients ranging from 0.7 to 1.

Analysis of rarefied compressible boundary layers in transition regime (천이영역의 희박기체 압축성 경계층 해석)

  • Choe, Seo-Won
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.21 no.4
    • /
    • pp.509-517
    • /
    • 1997
  • Results of flat plate compressible boundary layer calculation, based on discrete formulation of DSMC method, are presented in low Mach number and low Knudsen number range. The free stream is a uniform flow of pure nitrogen at various Mach numbers in low pressures (i.e. rarefied gas). Complete thermal accommodation and diffuse molecular reflections are used as the wall boundary condition, replacing unreal no-slip condition used in continuum calculations. In the discrete formulation of DSMC method, there is no need to use ad hoc assumptions on transport properties like viscosity and thermal conductivity, instead viscosity is calculated from values of other field variables (velocity and shear stress). Also the results are compared with existing self-similar continuum solutions. In all Mach number cases computed, velocity slip is most pronounced in regions near the leading edge where continuum formulation renders the solution singular. As the boundary layer develops further downstream, velocity slips asymptote to values that are between 10 to 20% of the magnitude of free stream velocity. When the free stream number density is reduced, so the gas more rarefied, the velocity slip increases as expected.

NTP-ERSN verification with C5G7 1D extension benchmark and GUI development

  • Lahdour, M.;El Bardouni, T.;El Hajjaji, O.;Chakir, E.;Mohammed, M.;Al Zain, Jamal;Ziani, H.
    • Nuclear Engineering and Technology
    • /
    • v.53 no.4
    • /
    • pp.1079-1087
    • /
    • 2021
  • NTP-ERSN is a package developed for solving the multigroup form of the discrete ordinates, characteristics and collision probability of the Boltzmann transport equation in one-dimensional cartesian geometry, by combining pin cells. In this work, C5G7 MOX benchmark is used to verify the accuracy and efficiency of NTP-ERSN package, by treating reactor core problems without spatial homogenization. This benchmark requires solutions in the form of normalized pin powers as well as the vectors and the eigenvalue. All NTP-ERSN simulations are carried out with appropriate spatial and angular approximations. A good agreement between NTP-ERSN results with those obtained with OpenMC calculation code for seven energy groups. In addition, our studies about angular and mesh refinements are carried out to produce better quality solution. Moreover, NTP-ERSN GUI has also been updated and adapted to python 3 programming language.

Characteristics of K+ Outward Currents in the Cochlear Outer Hair Cells of Circling Mice within the First Postnatal Week

  • Ahn, Ji Woong;Kang, Shin Wook;Ahn, Seung Cheol
    • The Korean Journal of Physiology and Pharmacology
    • /
    • v.19 no.4
    • /
    • pp.383-388
    • /
    • 2015
  • $K^+$ outward currents in the outer hair cells (OHCs) of circling mice (homozygous (cir/cir) mice), an animal model for human deafness (DFNB6 type), were investigated using a whole cell patch clamp technique. Littermate heterozygous (+/cir) mice of the same age (postnatal day (P) 0-P6) were used as controls. Similar slow rising $K^+$ currents were observed in both genotypes, but their biophysical and pharmacological properties were quite different. The values of Vhalf for activation were significantly different in the heterozygous (+/cir) and homozygous (cir/cir) mice ($-8.1{\pm}2.2mV$, heterozygous (+/cir) mice (n=7) and $-17.2{\pm}4.2mV$, homozygous (cir/cir) mice (n=5)). The inactivation curve was expressed by a single first order Boltzmann equation in the homozygous (cir/cir) mice, while it was expressed by a sum of two first order Boltzmann equations in the heterozygous (+/cir) mice. The $K^+$ current of homozygous (cir/cir) mice was more sensitive to TEA in the 1 to 10 mM range, while the 4-AP sensitivities were not different between the two genotypes. Removal of external $Ca^{2+}$ did not affect the $K^+$ currents in either genotype, indicating that the higher sensitivity of $K^+$ current to TEA in the homozygous (cir/cir) mice was not due to an early expression of $Ca^{2+}$ activated $K^+$ channels. Our results suggest that the $K^+$ outward current of developing homozygous (cir/cir) mice OHCs is different in both biophysical and pharmacological aspects than that of heterozygous (+/cir) mice.

Development of in-situ Analysis System for Radwaste Glass Using Laser Induced Breakdown Spectroscopy (레이저유도 플라즈마분광법을 이용한 방사성폐기물 유리의 현장분석 시스템 개발)

  • 김천우;박종길;신상운;하종현;송명재;이계호
    • Proceedings of the Korean Radioactive Waste Society Conference
    • /
    • 2004.06a
    • /
    • pp.137-146
    • /
    • 2004
  • Laser Induced Breakdown Spectroscopy(LIBS) system is being developed as an in-situ analysis system for the radioactive waste glass in the cold crucible melter. In order to complete the LIBS system, a spectrometer, a detector, and a laser were structured. An ESA 3000 (LLA Instruments GmbH, Germany) including a calibrated Kodak KAF-1001 CCD detector was selected as the spectrometer. A Q-switched Nd-YAG Brilliant(Quantel, France) laser was selected as an energy source. As the first research stage, the excitation temperatures of Fe(I) as a function of the detector's delay intervals(500, 1000, 1500, 2000ns) were evaluated using the Einstein-Boltzmann equation. The optimized excitation temperature of Fe (I) was 7820k at the delay time of 1500㎱ using the 532nm Nd-YAG laser pulse. This LIBS system will be optimized under the real environment vitrification facility in the near future and then used to be in-situ analyzed the glass compositions in the melter qualitatively.

  • PDF

Fundamental study of electrolyte cathode atomic discharge for development of on-line monitoring system (On-line monitoring system 개발에 관한 음극 액상 글로우 방전의 기초 연구)

  • Kim, Kyung-Mi;Woo, Young-A;Cho, Won-Bo;Kim, Hyo-Jin
    • Analytical Science and Technology
    • /
    • v.15 no.6
    • /
    • pp.496-501
    • /
    • 2002
  • The electrolyte cathode glow discharge (ELCAD) is a new optical system for direct determination of trace heavy metals in flowing water. ELCAD has been successfully developed for on-line monitoring of heavy metals in flowing water. The application of an atmospheric glow discharge between an electrolyte solution cathode and a platinum rod anode led to the development of stable discharge. The fundamental aspects of new plasma source have been investigated. The fundamental study of ELCAD system has been measured plasma temperature using Einstein-Boltzmann equation after searching Fe atomic emission lines. The spectrum of each elements such as Cu, Pb, Fe, Ni and Cr show only major elemental line and no ionic line possibly due to low temperature plasma source. The detection limits of each elements are also investigated. These informations show that this type of plasma may apply for monitoring of heavy metals in waste water which consists of complex matrix.

Monte Carlo Simulation of Phonon Transport in One-Dimensional Transient Conduction and ESD Event (1 차원 과도 전도와 정전기 방전 현상에 관한 포논 전달의 몬테 카를로 모사)

  • Oh, Jang-Hyun;Lee, Joon-Sik
    • Proceedings of the KSME Conference
    • /
    • 2007.05b
    • /
    • pp.2165-2170
    • /
    • 2007
  • At nanoscales, the Boltzmann transport equation (BTE) can best describe the behavior of phonons which are energy carriers in crystalline materials. Through this study, the phonon transport in some micro/nanoscale problems was simulated with the Monte Carlo method which is a kind of the stochastic approach to the BTE. In the Monte Carlo method, the superparticles of which the number is the weighted value to the actual number of phonons are allowed to drift and be scattered by other ones based on the scattering probability. Accounting for the phonon dispersion relation and polarizations, we have confirmed the one-dimensional transient phonon transport in ballistic and diffusion limits, respectively. The thermal conductivity for GaAs was also calculated from the kinetic theory by using the proposed model. Besides, we simulated the electrostatic discharge event in the NMOS transistor as a two-dimensional problem by applying the Monte Carlo method.

  • PDF

Hall Factor of Electrons in γ -valley due to Various Scatterings (γ -valley에서 산란의 종류에 따른 전자의 홀 인수)

  • 서헌교;박일수;전상국
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.15 no.8
    • /
    • pp.658-663
    • /
    • 2002
  • Hall factor of electrons in $\Gamma$-valley is calculated as functions of temperature, impurity concentration, and nonparabolicity of conduction valleys by taking into account the current density obtained from the Boltzmann transport equation. The dependence of the Hall factor on the temperature is clearly shown in the case of the optical phonon scattering and that on the impurity concentration is obvious in the case of the ionized impurity scattering. As the nonparabolicity of the conduction band increases, the Hall factor due to the acoustic or optic phonon scattering increases, whereas that due to the ionized impurity scattering decreases. The change of the Hall factor can be analysed in terms of the dispersion of relaxation time.