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Planar laser-induced fluorescence imaging of crevice hydrocarbon emissions in a spark-ignited engine 火花点火发动机缝隙碳氢化合物排放的平面激光诱导荧光成像
Pub Date : 1998-01-01 DOI: 10.1016/S0082-0784(98)80053-2
David F. Marran , Marshall B. Long , William M. Studzinski , J. Christian Swindal , William P. Acker

In recent years, concerns over the impact of internal combustion engine hydrocarbon emissions on the environment have prompted tighter regulation on allowable emission lebels. While much work has been done on reducing hydrocarbon emissions after they have entered the exhaust stream, less direct monitoring of the emission sources has been performed. An optically accessible four-stroke internal combustion engine was used to investigate how fuel composition and engine operating conditions affect hydrocarbon emissions. Various crevices, ranging in size from 1 to 2 mm, were simulated by drilling holes into a flat wall built into the head of the engine. Emissions from the residual fuel ejected by these crevices were directly monitored using planar laser-induced fluorescence (PLIF) from iso-octane/n-heptane fuel blends doped with 3-pentanone. The fluorescence was imaged at various times during the engine cycle and found to be extremely dependent on crevice size, engine load, and fuel reactivity, Under most normal load conditions, the largest crevice showed evidence of significant flame penetration, while flame penetration into the smaller crevices was found to vary with engine load. The results for the quench diameter were in good agreement with a simple crevice flame-quenching model. Fuels with lower octane ratings were shown to enhance flame penetration due to their increased reactivity.

近年来,由于对内燃机碳氢化合物排放对环境的影响的担忧,促使对允许排放标准的监管更加严格。虽然在减少碳氢化合物进入废气流后的排放方面已经做了很多工作,但对排放源的直接监测却很少。使用光学可及的四冲程内燃机来研究燃料成分和发动机工作条件对碳氢化合物排放的影响。通过在发动机头部的平壁上钻孔,模拟了大小从1毫米到2毫米不等的各种裂缝。利用平面激光诱导荧光(PLIF)直接监测了从这些缝隙喷射出的残余燃料的排放,这些残余燃料来自掺有3-戊酮的异辛烷/正庚烷燃料混合物。在发动机循环的不同时间对荧光成像,发现与裂缝大小、发动机负载和燃料反应性密切相关。在大多数正常负载条件下,最大的裂缝显示出明显的火焰穿透,而火焰穿透较小的裂缝则随发动机负载而变化。淬火直径的计算结果与简单的裂隙火焰淬火模型吻合较好。具有较低辛烷值的燃料由于其增加的反应性而被证明可以增强火焰穿透。
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引用次数: 2
Pulsating instability in near-limit propagation of rich hydrogen/air flames 富氢/空气火焰近极限传播中的脉动不稳定性
Pub Date : 1998-01-01 DOI: 10.1016/S0082-0784(98)80446-3
E.W. Christiansen, C.J. Sung, C.K. Law

The adiabatic and radiation-affected unsteady planar propagation of rich hydrogen/air flames of nearlimit concentrations in the doubly infinite domain is computationally simulated with detailed chemistry and transport. Results for the adiabatic propagation show that, with progressive increase in the fuel richness, the mode of propagation changes from steady state to oscillatory with a single period, to oscillatory with double periods, and to oscillation separated by increasingly long periods of dormant chemical reactivity. In the presence of radiative loss, propagation with the first three modes are minimally affected, whereas extinction readily occurs, with precipitous drop in the flame temperature, during the dormant period of the last mode. Because the state for the onset of the last mode is at a leaner concentration than that of the nonadiabatic steady-state propagation limit the use of the steady-state result provides a conservative estimate for the rich fundamentall flammability limit. The study also shows that, by using appropriately extracted Lewis and Zeldovich numbers characterizing the steady, adiabatic flame propagation, the transition boundary from steady to pulsating propagation can be adequately described by the criterion derived by Sivashinsky based on one-step chemistry.

本文对近极限浓度富氢/空气火焰在双无限域中的绝热和受辐射影响的非定常平面传播进行了详细的化学和输运计算模拟。绝热传播的结果表明,随着燃料丰富度的逐渐增加,绝热传播模式从稳态到单周期振荡,到双周期振荡,再到被越来越长的化学反应休眠周期所分离的振荡。在存在辐射损耗的情况下,前三种模式的传播受到的影响最小,而在最后一种模式的休眠期间,随着火焰温度的急剧下降,熄灭很容易发生。由于末阶模态的起始状态比非绝热稳态传播极限的浓度更低,因此稳态结果的使用为丰富的基本可燃性极限提供了一个保守的估计。研究还表明,通过适当提取表征稳定绝热火焰传播的Lewis数和Zeldovich数,Sivashinsky基于一步化学导出的判据可以充分描述从稳定到脉动传播的过渡边界。
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引用次数: 35
Thermal decomposition of indene. Experimental results and kinetic modeling 茚的热分解。实验结果及动力学建模
Pub Date : 1998-01-01 DOI: 10.1016/S0082-0784(98)80418-9
Alexander Laskin , Assa Lifshitz

The thermal decomposition of indene was studied behind reflected shock waves in a pressurized driver single-pulse shock tube over the temperature range 1150–1900 K and densities of ≈3×10−5 mol/cm3. GC analyses of post-shock mixtures revealed the presence of the following decomposition products, given in order of increasing molecular weight: CH4, C2H2, CH2=C=CH2, CH3C≡CH, C4H2, C6H6, C6H5−CH3, C6H5−C≡CH, and also naphthalene and its structural isomer, probably 1-methylene-1H-indene. Small or trace quantities of C2H4, C4H4, C5H6, C5H5−C≡CH, and C6H4 were also found in the postshock mixtures. A kinetic scheme based on cyclopentadiene decomposition pathway alone cannot account for the observed product distribution. It can be accounted for if H-atom attachment to the π bond in the five-membered ring followed by consecutive decomposition of the formed indanyl radical is assumed in addition to the indenyl channel. A reaction scheme with the two pathways containing 50 species and 74 elementary reactions reproduces very well the experimental product distribution. In this paper, we show the reaction scheme, the results of computer simulation, and sensitivity analysis. Differences and similarities in the reaction patterns of cyclopentadiene and indence are discussed.

在压力驱动单脉冲激波管内,在1150 ~ 1900 K、密度≈3×10−5 mol/cm3的条件下,研究了叶片在反射激波下的热分解。对激波后混合物的气相色谱分析显示存在以下分解产物,按分子量的增加顺序排列:CH4, C2H2, CH2=C=CH2, CH3C≡CH, C4H2, C6H6, C6H5−CH3, C6H5−C≡CH,以及萘及其结构异构体,可能是1-亚甲基- 1h -茚。在冲击后混合物中也发现了少量或痕量的C2H4、C4H4、C5H6、C5H5−C≡CH和C6H4。仅基于环戊二烯分解途径的动力学方案不能解释所观察到的产物分布。如果在五元环中假设h原子与π键结合,然后形成的铟基自由基连续分解,除了铟基通道外,还可以解释这一现象。两种反应途径包含50种物质和74种基本反应的反应方案很好地再现了实验产物分布。本文给出了反应方案、计算机模拟结果和灵敏度分析。讨论了环戊二烯与茚的反应方式的异同。
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引用次数: 36
Numerical modeling of composite propellant combustion 复合推进剂燃烧的数值模拟
Pub Date : 1998-01-01 DOI: 10.1016/S0082-0784(98)80090-8
F. Miccio

An innovative 2-D numerical model of composite propellant combustion is proposed. It takes into acount the detailed description of the propellant topology, five chemical reactions, gas molecular diffusion, and heat transfer in the gas phase. Partial differential equations are numerically solved introducing a topological matrix. The propellant surface is determined by scanning the topological matrix and performing a series of logical tests. The bidimensional profiles of the temperature and molar fractions in the spatial domain are obtained. The average surface temperatures are also evaluated in both binder and oxidizer regions, as well as the linear burning rate. The model can predict the time evolution of the composite for different propellant topologies in agreement with experimental observations of the propellant surface reported in the literature. The propellant topology, the pressure, the oxidizer-binder mass ratio, and the characteristic dimension play a large role on surface temperatures and linear burning rate. They increase with pressure and decrease, with asymptotic tendency, with increase of both mass ratio and characteristic size. High burning rates are predicted for topologies that enhance the mixing betwen binder and oxidizer in particular when fine spherical particles of the oxidizer are dispersed within a binder matrix.

提出了一种新颖的复合推进剂燃烧二维数值模型。它考虑了推进剂拓扑结构、五种化学反应、气体分子扩散和气相传热的详细描述。引入拓扑矩阵对偏微分方程进行数值求解。推进剂表面是通过扫描拓扑矩阵和执行一系列逻辑测试来确定的。得到了温度和摩尔分数在空间域中的二维分布。在粘结剂和氧化剂区域的平均表面温度以及线性燃烧速率也进行了评估。该模型可以预测不同推进剂拓扑结构下复合材料的时间演化,与文献报道的推进剂表面实验观测结果相吻合。推进剂的拓扑结构、压力、氧化剂-粘结剂质量比和特征尺寸对表面温度和线性燃烧速率有很大影响。它们随压力增大而增大,随质量比和特征尺寸的增大而减小,并呈渐近趋势。对于增强粘合剂和氧化剂之间混合的拓扑结构,特别是当氧化剂的细球形颗粒分散在粘合剂基体中时,预测高燃烧速率。
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引用次数: 16
Two-dimensional direct numerical simulation of opposed-jet hydrogen-air diffusion flame 对喷氢气-空气扩散火焰的二维直接数值模拟
Pub Date : 1998-01-01 DOI: 10.1016/S0082-0784(98)80448-7
C.E. Frouzakis, J. Lee, A.G. Tomboulides , K. Boulouchos

Opposed-jet diffusion flame experiments are routinely analyzed with one-dimensional models obtained by assuming a specific form for the velocity field. In this study, two-dimensional simulations of the hydrogen-air laminar opposed-jet counterflow diffusion flame using detailed chemical kinetics and realistic transport were performed for parabolic and uniform inflow velocity profiles at the exits of the nozzles. Two-dimensional simulations allow for the detailed examination of the hydrodynamics and the assessment of the validity of the assumptions made in the traditional one-dimensional simulations. Using typical nozzle size and separation distance employed in experiments, we analyzed the effects of nozzle outflow boundary conditions, finite size, and finite separation distance on the structure of the strained laminar diffusion flame. We also analyzed the variations of the divergence of the velocity field (compressibility due to chemical reaction) and that of the hydrodynamic pressure. The two-dimensional simulation results show that the cost-effective one-dimensional model provides an accurate description of the flame structure even for low-strain hydrogen-air flame provided that the velocity profiles at the nozzle exits are uniform. Although in the one-dimensional model, the nozzle size to separation ratio is assumed to be large, our two-dimensional results show that a ratio of 1 is adequate. Finally, we observed that the velocity gradient (the axial derivative of the axial velocity component along the axis of symmetry) measured in experiments at a point just before the flame region is inadequate in describing the characteristic strain rate “seen” by the flame.

对喷流扩散火焰实验通常采用一维模型进行分析,该模型是通过假设速度场的特定形式得到的。在本研究中,利用详细的化学动力学和真实输运对氢-空气层流反喷扩散火焰进行了二维模拟,模拟了喷嘴出口处的抛物线和均匀流入速度分布。二维模拟允许对水动力学进行详细的检查,并评估传统一维模拟中所作假设的有效性。利用实验中典型的喷嘴尺寸和分离距离,分析了喷嘴出口边界条件、有限尺寸和有限分离距离对应变层流扩散火焰结构的影响。分析了速度场散度(化学反应引起的可压缩性)和动水压力散度的变化。二维仿真结果表明,在喷嘴出口处速度分布均匀的情况下,低应变氢-空气火焰的一维模型也能准确地描述火焰结构。虽然在一维模型中,假设喷嘴尺寸与分离比很大,但我们的二维结果表明,比例为1就足够了。最后,我们观察到,实验中在火焰区域之前的一点测量的速度梯度(轴向速度分量沿对称轴的轴向导数)不足以描述火焰“看到”的特征应变率。
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引用次数: 48
Structure and extinction of non-premixed n-heptane flames 非预混正庚烷火焰的结构与熄灭
Pub Date : 1998-01-01 DOI: 10.1016/S0082-0784(98)80457-8
R. Seiser, L. Truett, D. Trees, K. Seshadri

An experimental and numerical study is performed to elucidate the structure and mechanisms of extinction of non-premixed n-heptane flames. Experiments are conducted on flames stabilized between two connterflowing streams. The fuel stream is a mixture of prevaporized n-heptane and nitrogen, and the oxidizer stream is a mixture of air and nitrogen. Concentration profiles of C7H16, O2, N2, CO2 CO, H2, CH4, C2H2, C2H4, C2H6, C3H4, C3H6, C3H8, C4-hydrocarbons, C5-hydrocarbons and C6-hydrocarbons are measured. The measurements are made by removing gas samples from the flame using a quartz microprobe and analyzing the samples using gas chromatographs. The identity of the species is established using a mass selective detector. Temperature profiles are measured using a thermocouple. In addition, critical conditions of extinction are measured, giving the mass fraction of reactants as a function of the strain rate. Numerical calculations are performed using detailed chemistry to determine the flame structure and critical conditions of extinction at conditions identical to those used in the experiments. Calculated and measured flame structures are found to agree reasonably well: however, a small shift is observed between the calculated and measured temperature and concentration profiles. In general, the measured profiles are broader than the calculated profiles. At given values of the mass fraction of oxygen in the oxidizer stream, the calculated strain rates at extinction are noticeably higher than those measured. Experiments are also performed on non-premixed flames stabilized in the counterflowing configuration over a liquid pool of n-heptane. Critical conditions of extinction are measured. Numerical calculations are performed at conditions used in these experiments, and critical conditions of extinction are obtained. At given values of the mass fraction of oxygen in the oxidizer stream, the calculated strain rates at extinction are noticeably higher than those measured. The differences between the calculated and measured strain rates at extinction for the liquid pool flame are higher than for n-heptane-vapor flames.

通过实验和数值研究阐明了非预混正庚烷火焰的结构和熄灭机理。对两股水流之间的火焰进行了稳定化实验。燃料流是预蒸发的正庚烷和氮气的混合物,氧化剂流是空气和氮气的混合物。测定了C7H16、O2、N2、CO2、CO、H2、CH4、C2H2、C2H4、C2H6、C3H4、C3H6、C3H8、c4 -烃、c5 -烃和c6 -烃的浓度分布。测量是通过使用石英微探针从火焰中去除气体样品并使用气相色谱仪分析样品来完成的。该物种的身份是用质量选择检测器确定的。温度分布是用热电偶测量的。此外,还测量了消光的临界条件,给出了反应物的质量分数作为应变速率的函数。数值计算使用详细的化学来确定火焰结构和临界熄灭条件在相同的条件下使用的实验。计算和测量的火焰结构被发现相当一致:然而,在计算和测量的温度和浓度曲线之间观察到一个小的变化。一般来说,实测轮廓比计算轮廓宽。在氧化剂流中氧的质量分数给定的值下,计算出的消光应变率明显高于测量值。实验还进行了非预混火焰稳定在逆流配置的液体池上的正庚烷。测量了灭绝的临界条件。在实验条件下进行了数值计算,得到了消光的临界条件。在氧化剂流中氧的质量分数给定的值下,计算出的消光应变率明显高于测量值。液体池火焰在熄灭时的应变速率计算值与实测值之间的差异大于正庚烷蒸汽火焰。
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引用次数: 75
Dissociation of SiCl4 based on Cl- and Si-concentration measurements 基于Cl-和si浓度测量的SiCl4解离
Pub Date : 1998-01-01 DOI: 10.1016/S0082-0784(98)80413-X
A. Kunz, P. Roth

The dissociation of SiCl4 was studied behind reflected shock waves. Atomic resonance absorption spectroscopy (ARAS) was applied for time-resolved measurements of Cl- and Si-atoms in gas mixtures containing 0.4 to 4 ppm SiCl4 highly diluted in argon. The signals obtained were kinetically evaluated by computer simulations based on a simplified reaction mechanism. Rate coefficients for the reactionsSiCl4+Ark1SiCl3+Cl+Ar(R1)SiCl+Ark4Si+Cl+Ar(R4)k1=6.9×1016exp(37760K/T)cm3mol1s1k4=1.4x1040T7.0exp(49315K/T)cm3mol1s1

研究了SiCl4在反射激波下的解离。原子共振吸收光谱(ARAS)用于时间分辨测量含有0.4 ~ 4ppm高度稀释的SiCl4的氩气混合物中的Cl-和si原子。在简化反应机理的基础上,通过计算机模拟对得到的信号进行动力学评价。反应速率系数sicl4 +Ar + k1SiCl3+Cl+Ar(R1)SiCl+Ar + k4Si+Cl+Ar(R4)k1=6.9×1016exp(−37760K/T)cm3mol−1s−1k4=1.4 × 1040t−7.0exp(−49315K/T)cm3mol−1s−1
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引用次数: 11
Catalytic ignition of hydrogen-oxygen on platinum 铂上氢-氧的催化点火
Pub Date : 1998-01-01 DOI: 10.1016/S0082-0784(98)80075-1
H. Enomoto, H. Kato, M. Tsue, M. Kono

Catalytic ignition of hydrogen-oxygen on platinum at atmospheric pressure is studied experimentally. The hydrogen-oxygen mixtures are diluted with nitrogen to prevent the homogeneous ignition. The parameters are relative hydrogen concentration and dilution ratio, a mole fraction of nitrogen. The surface temperature is measured with an R-type thermocouple. The time histories of surface temperature show an inflection point, and the catalytic ignition temperature is defined as the temperature at the inflection point. As a result, the ignition temperature is increased with the dilution ratio and shows a minimum at a certain relative hydrogen concentration. The reciprocal ignition temperature is proportional to the natural log of total reactant mole fraction, and the proportional constants are almost the same in all relative hydrogen concentration.

If the catalytic ignition has occurred, an abrupt transition from a kinetically controlled system to one controlled by mass transport is produced. It is approximated that the surface conditions could be evaluated in a mass transport controlled system as the time needed to change the systems is very short and that the gaseous compositions are the same before the ignition has occurred as the surface reaction rate is much faster than the velocity of the mass transport. To analyze the relation between the ignition temperature and the reactant concentrations simply, an overall reaction model with an Arrhenius expression is used, and the orders of reaction of the adsorbed H and O are one in the expression. The expression includes the desorption of the excess of the adsorbed H.

The expression explained the dependence of the ignition temperature on the dilution ratio quantitatively and denoted a minimum ignition temperature at a certain relative hydrogen concentration as shown in the experimental results.

实验研究了常压下铂上氢-氧的催化点火。氢-氧混合物用氮气稀释以防止均匀点火。参数为相对氢浓度和稀释比,氮的摩尔分数。表面温度用r型热电偶测量。表面温度的时间历程存在一个拐点,催化点火温度定义为拐点处的温度。结果表明,点燃温度随稀释比的增大而增大,在一定的相对氢浓度下达到最低。倒数点火温度与总反应物摩尔分数的自然对数成正比,比例常数在所有相对氢浓度下几乎相同。如果催化点火发生了,就会产生从动力学控制系统到质量传递控制系统的突然转变。由于改变系统所需的时间很短,并且由于表面反应速率比质量传递速度快得多,因此在点火发生之前气体成分是相同的,因此可以近似地评估质量传递控制系统中的表面条件。为了简单分析着火温度与反应物浓度之间的关系,采用Arrhenius表达式的整体反应模型,其中吸附的H和O的反应级数为一级。该式定量地解释了着火温度与稀释比的关系,并表示了实验结果中在一定相对氢浓度下的最低着火温度。
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引用次数: 7
Dynamics of ignition transience and gasification partition of a droplet 液滴点火瞬态动力学及气化分区
Pub Date : 1998-01-01 DOI: 10.1016/S0082-0784(98)80032-5
H.H. Chiu, L.H. Hu

Thermochemical evolution of a droplet suddenly exposed to a hot environment is studied to assess the transient characteristics of the ignition, flame bifurcation and scavenging combustion, transition of premixed flame to nonpremixed combustion, and the ultimate burnout of an isolated droplet. Canonical theory of droplet gasification gives a general criteria of ignition and serves to identify all the gasification submechanisms of an arbitrary geometry in a stationary or convective environment. The theory is used in conjunction with numerical analysis for prediction of the transient flow-field structures and the gasification rates of all the submechanisms of gasification. The results reveal that the ignition transience exhibits flame bifurcation in a broad range of the environmental temperature, which lies between 930 K and 1700 K, for an n-heptane droplet with the simulated reaction rate model. At temperature higher than 1700 K, flame splitting does not occur. There are, in general, seven gasification submechanisms for a droplet: however, the net gasification rate during the ignition, flame bifurcation, and scavenging combustion is primarily controlled by the exothermic reaction and thermal energy accumulation, each of which has the effective gasification rate of nearly 10 to 40 times of that of the conventional Godsave-Spalding gasification rate: whereas the other submechanisms contribute at nearly the same order of magnitude of the Godsave-Spalding gasification rate. The droplet combustion is also classified into fully evolved and partially evolved combustion depending on the state of the droplet at the burnout. The predicted ignition delay time for n-heptane droplets in the size range of 600–2200μm are in good qualitative agreement with available experimental data. Areas of future research are also discussed.

研究了突然暴露在高温环境中的液滴的热化学演化过程,评估了液滴的点火、火焰分岔和扫掠燃烧、预混合火焰向非预混合燃烧的过渡以及最终燃尽的瞬态特性。液滴气化的典型理论给出了点火的一般准则,并用于确定在静止或对流环境中任意几何形状的所有气化子机制。该理论与数值分析相结合,用于预测瞬态流场结构和所有气化子机制的气化速率。结果表明:在930 ~ 1700 K的环境温度范围内,正庚烷液滴的点火瞬态表现为火焰分岔;当温度高于1700k时,不会发生火焰分裂。一个液滴一般有7个气化子机制,而在点火、火焰分叉和扫气燃烧过程中的净气化速率主要由放热反应和热能积累控制,每一个过程的有效气化速率都是常规godsaving - spalding气化速率的近10 ~ 40倍;而其他子机制对Godsave-Spalding气化速率的贡献几乎相同。根据液滴在燃尽时的状态,液滴燃烧也分为完全演化燃烧和部分演化燃烧。预测的600 ~ 2200μm范围内的正庚烷液滴的点火延迟时间与已有的实验数据在定性上符合较好。讨论了今后的研究方向。
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引用次数: 11
Detailed modeling of the oxidation of CO on platinum: A Monte-Carlo model CO在铂上氧化的详细建模:蒙特卡罗模型
Pub Date : 1998-01-01 DOI: 10.1016/S0082-0784(98)80076-3
R. Kissel-Osterrieder, F. Behrendt, J. Warnatz

A Monte Carlo (MC) model for the simulation of chemical reactions of a surface coupled to a reactive gas phase with correct real-time dependence is presented. To avoid the shortcomings of the mean-field (MF) approximation, a lattice-gas model is used to describe the kinetics on the reactive surface. The local environment of an adsorbate molecule is included explicitly. The corresponding master equation is solved by simulation of stochastic processes with a Monte Carlo method. The model includes a description for the adsorption and desorption equilibria of CO and molecular oxygen on platinum as well as the surface reaction of CO with O atoms. The focus is on the influence of adsorbate-adsorbate interactions, which cannot be accounted for correctly in the mean-field model. The transport processes in the gas phase are described by a molecular multicomponent transport model. The governing equations are formulated for the geometry of a stagnation-point flow onto the catalytically active plate. Gas phase and reactive surface are treated separately. The coupling between both parts of the system is realized by choosing time steps small enough to limit the change of the mass fractions at the heterogeneous boundary within a defined range. Under this assumption, the mass fraction in the gas phase at the first grid point above the surface can be regarded as constant for the Monto Carlo simulation. After each time step, the mass fractions at the boundary are updated according to the fluxes resulting from the events during the Monte Carlo step. This is followed by a time step for the gas phase generating new initial values for the subsequent Monte Carlo step. Between each Monte Carlo step, the spatial distribution of the adsorbed species is preserved.

提出了一种模拟表面与反应气相耦合的化学反应的蒙特卡罗模型,该模型具有正确的实时依赖性。为了避免平均场近似法的缺点,采用栅格-气体模型来描述反应表面的动力学。明确地包括了吸附分子的局部环境。用蒙特卡罗方法模拟随机过程求解相应的主方程。该模型描述了CO和分子氧在铂上的吸附和解吸平衡以及CO与O原子的表面反应。重点是吸附物-吸附物相互作用的影响,这在平均场模型中不能正确地解释。气相的输运过程用分子多组分输运模型来描述。根据在催化活性板上的滞点流动的几何形状,建立了控制方程。气相和反应表面分别处理。通过选择足够小的时间步长,将非均质边界处质量分数的变化限制在一定范围内,实现了系统两部分之间的耦合。在此假设下,在蒙托卡罗模拟中,表面上方第一个网格点的气相质量分数可视为常数。在每个时间步骤之后,边界处的质量分数根据蒙特卡罗步骤期间事件产生的通量进行更新。接下来是气相的时间步骤,为随后的蒙特卡罗步骤生成新的初始值。在每个蒙特卡罗步骤之间,吸附物质的空间分布被保留下来。
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引用次数: 12
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Symposium (International) on Combustion
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