Gas-phase transient diffusion in droplet ignition

B. H. Chao; M. Matalon; C. K. Law

doi:10.1016/0010-2180(85)90056-2

Gas-phase transient diffusion in droplet ignition

B. H. Chao, M. Matalon, C. K. Law

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

The existing droplet ignition criterion was obtained by examining the initiation of chemical reaction in the far field under the assumption of gas-phase quasi-steadiness. However, it is precisely in this far field where transient diffusion becomes important. In order to incorporate this effect in an ignition analysis, we consider the simultaneous limits of a small gas-to-liquid density ratio and a large activation energy of the chemical reaction. The ignition dynamics is thus investigated; in particular, ignition delay times and ignitability criteria are obtained. Comparison of the ignition Damköhler number obtained in the present study with that corresponding to the quasi-steady case shows that they may differ significantly, hence demonstrating the qualitative importance of transient diffusion in droplet ignition.

Original language	English (US)
Pages (from-to)	43-51
Number of pages	9
Journal	Combustion and Flame
Volume	59
Issue number	1
DOIs	https://doi.org/10.1016/0010-2180(85)90056-2
State	Published - Jan 1985
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Chemistry
General Chemical Engineering
Fuel Technology
Energy Engineering and Power Technology
General Physics and Astronomy

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10.1016/0010-2180(85)90056-2

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@article{978dfc3e113b444fbc76ec9da625367a,

title = "Gas-phase transient diffusion in droplet ignition",

abstract = "The existing droplet ignition criterion was obtained by examining the initiation of chemical reaction in the far field under the assumption of gas-phase quasi-steadiness. However, it is precisely in this far field where transient diffusion becomes important. In order to incorporate this effect in an ignition analysis, we consider the simultaneous limits of a small gas-to-liquid density ratio and a large activation energy of the chemical reaction. The ignition dynamics is thus investigated; in particular, ignition delay times and ignitability criteria are obtained. Comparison of the ignition Damk{\"o}hler number obtained in the present study with that corresponding to the quasi-steady case shows that they may differ significantly, hence demonstrating the qualitative importance of transient diffusion in droplet ignition.",

author = "Chao, {B. H.} and M. Matalon and Law, {C. K.}",

note = "Funding Information: The authors acknowledge with appreciation the support of this research by the National Sciences Foundation under Grant Nos. CPE-8212082 and MEA-8121779 awarded to, respectively, MM and CKL.",

year = "1985",

month = jan,

doi = "10.1016/0010-2180(85)90056-2",

language = "English (US)",

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journal = "Combustion and Flame",

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publisher = "Elsevier Inc.",

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TY - JOUR

T1 - Gas-phase transient diffusion in droplet ignition

AU - Chao, B. H.

AU - Matalon, M.

AU - Law, C. K.

N1 - Funding Information: The authors acknowledge with appreciation the support of this research by the National Sciences Foundation under Grant Nos. CPE-8212082 and MEA-8121779 awarded to, respectively, MM and CKL.

PY - 1985/1

Y1 - 1985/1

N2 - The existing droplet ignition criterion was obtained by examining the initiation of chemical reaction in the far field under the assumption of gas-phase quasi-steadiness. However, it is precisely in this far field where transient diffusion becomes important. In order to incorporate this effect in an ignition analysis, we consider the simultaneous limits of a small gas-to-liquid density ratio and a large activation energy of the chemical reaction. The ignition dynamics is thus investigated; in particular, ignition delay times and ignitability criteria are obtained. Comparison of the ignition Damköhler number obtained in the present study with that corresponding to the quasi-steady case shows that they may differ significantly, hence demonstrating the qualitative importance of transient diffusion in droplet ignition.

AB - The existing droplet ignition criterion was obtained by examining the initiation of chemical reaction in the far field under the assumption of gas-phase quasi-steadiness. However, it is precisely in this far field where transient diffusion becomes important. In order to incorporate this effect in an ignition analysis, we consider the simultaneous limits of a small gas-to-liquid density ratio and a large activation energy of the chemical reaction. The ignition dynamics is thus investigated; in particular, ignition delay times and ignitability criteria are obtained. Comparison of the ignition Damköhler number obtained in the present study with that corresponding to the quasi-steady case shows that they may differ significantly, hence demonstrating the qualitative importance of transient diffusion in droplet ignition.

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U2 - 10.1016/0010-2180(85)90056-2

DO - 10.1016/0010-2180(85)90056-2

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SN - 0010-2180

VL - 59

SP - 43

EP - 51

JO - Combustion and Flame

JF - Combustion and Flame

IS - 1

ER -

Gas-phase transient diffusion in droplet ignition

Abstract

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