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

Access to Document

10.1016/0010-2180(85)90056-2

Cite this

@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)",

volume = "59",

pages = "43--51",

journal = "Combustion and Flame",

issn = "0010-2180",

publisher = "Elsevier Inc.",

number = "1",

}

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.

UR - https://www.scopus.com/pages/publications/0021816873

UR - https://www.scopus.com/pages/publications/0021816873#tab=citedBy

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

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

M3 - Article

AN - SCOPUS:0021816873

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

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this