Burning of Single Carbon Particle Approached by Activation Energy Asymptotics

Xie Ding-guo

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(8): 707-718

Xie Ding-guo. Burning of Single Carbon Particle Approached by Activation Energy Asymptotics[J]. Applied Mathematics and Mechanics, 1987, 8(8): 707-718.

Citation:

Xie Ding-guo. Burning of Single Carbon Particle Approached by Activation Energy Asymptotics[J]. Applied Mathematics and Mechanics, 1987, 8(8): 707-718.

Citation:

Xie Ding-guo. Burning of Single Carbon Particle Approached by Activation Energy Asymptotics[J]. Applied Mathematics and Mechanics, 1987, 8(8): 707-718.

PDF( 2925 KB)

Burning of Single Carbon Particle Approached by Activation Energy Asymptotics

Xie Ding-guo

Zhejiang University, Hangzhou

Received Date: 1986-02-27
Publish Date: 1987-08-15

Abstract

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.

FullText(HTML)

References(15)

References

[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．