单个碳粒燃烧的活化能近似逼近解

谢定国

单个碳粒燃烧的活化能近似逼近解

谢定国

浙江大学力学系

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出版历程
- 收稿日期: 1986-02-27
- 刊出日期: 1987-08-15

Burning of Single Carbon Particle Approached by Activation Energy Asymptotics

Xie Ding-guo

Zhejiang University, Hangzhou

摘要

摘要: 本文把活化能近似逼近方法应用于单个碳粒在静止高温气体中的燃烧问题。对非均相反应2C+O₂→2CO和C+CO₂→2CO及处于平衡态下的气相反应2CO+O2⇔2CO₂都加以了考虑。研究发现碳粒的燃烧过程主要在扩散极限阶段完成,但在加热阶段与扩散极限阶段之间有四个短暂但相当复杂的阶段。本文还举例对活化能近似逼近解法与精确的数值解法进行了比较,比较结果令人满意。

Abstract: The method of activation energy asymptotics is used to treat the combustion of a single carbon particle in quiescent gas mixture with high temperature. Both heterogeneous reactions 2C+O₂ →2CO, C+CO₂→2CO and homogeneous reaction 2CO+O₂ 2CO₂ are considered. It is shown that the burning of the particle principally is carried out during a diffusion-limited period. Four brief and complex periods through which the history of the particle evolves from a heat-up period to the diffusion-limited period are described. A comparison between results of activation energy asymptotics and exact numerical solutions is given. The agreement is considered satisfactory.

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参考文献(15)

[1]	Law,C.K.,Asymptotic theory for ignition and extinction in droplet burning,Combust Flame,24(1975),89.
[2]	Linan,A.,Asymptotic analysis of unsteady diffusion flames for large activation energies,Acta Astronautica,1(1974),1007.
[3]	Krishnamurthy,L.,F.A.Williams and K.Seshadri,Asymptotic theory of diffusion-flame extinction in the stagnation-point boundary layer,Combust.Flame,26(1976),363.
[4]	Peters,N.,On the stability of Lianan's "premixed flame regime",Combust.Flame,33(1978),315.
[5]	Kassoy,D.R.,Supercritical spatially homogeneous thermal explosion:Initiation to completion,Quart.J.Mech.Appl.Math.,30(1977),71.
[6]	Libby,P.A.and F.A.Williams,Structure of laminar flamelets in premixed turbulent flames,Combust.Flamc,44(1982),287.
[7]	Libby,P.A.and F.A.Williams,Strained premixed laminar flames under nonadiabatic conditions,Combust.Sci.Tech.,31(1983),1.
[8]	Libby,P.A.,A.Linan and F.A.Williams,Strained premixed laminar flames with nonunity lewis numbers,Combust.Sci.Tech.,34(1983),257.
[9]	Libby,P.A.and F.A.Williams,Strained premixed laminar flames with two reaction zones,Combust.Sci.Tech.,37(1984),221.
[10]	Buckmaster,J.D.and G.S.S.Ludford,Theory of Laminar Flames,Combridge University Press(1981).
[11]	Kassoy,D.R,and P.A.Libby,Activation energy asymptotics applied to burning carbon particles,Combust.Flame,48(1982),287.
[12]	Libby,P.A.and T.R.Blake,Theoretical study of burning carbon particles,Combust.Flame,36(1979),139.
[13]	Xie Ding-guo,Studies in premixed turbulent combustion and carbon particle burning,Ph.D.Dissertation,University of California,San Diego(1985).
[14]	Dobner,S.,Modelling of Entrained Bed Gasification:The Issues,Elect.Power Res.Inst.Memo(1976).
[15]	Field,M.A.,Rate of combustion of size-graded fractions of char from a low-ranked coal between 1200°K and 2000°K,Combust.Flame,13(1969),237．