Abstract
We examine the stability of an outwardly propagating spherical flame accounting for both hydrodynamic and thermodiffusive effects. For Lewis numbers less than a critical value Le* < 1, disturbances of the flame front grow during the initial phase of propagation, i.e., when the radius is comparable to the flame thickness. However, for Le > Le*, the flame, which is stable to thermodiffusive effects, becomes unstable only after a critical size is reached. This instability is hydrodynamic in nature and is caused by the thermal expansion of the gas. In this study we provide an expression for the determination of the critical size, or a critical Peclet number, which depends on the thermal expansion coefficient and on the Lewis number. The explicit dependence on all the relevant physicochemical parameters enables us to compare our results with experimental data.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 77-90 |
| Number of pages | 14 |
| Journal | Combustion and Flame |
| Volume | 67 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1987 |
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ASJC Scopus subject areas
- Chemistry(all)
- Chemical Engineering(all)
- Fuel Technology
- Energy Engineering and Power Technology
- Physics and Astronomy(all)
Cite this
Hydrodynamic and diffusion effects on the stability of spherically expanding flames. / Bechtold, J. K.; Matalon, M.
In: Combustion and Flame, Vol. 67, No. 1, 01.1987, p. 77-90.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Hydrodynamic and diffusion effects on the stability of spherically expanding flames
AU - Bechtold, J. K.
AU - Matalon, M.
PY - 1987/1
Y1 - 1987/1
N2 - We examine the stability of an outwardly propagating spherical flame accounting for both hydrodynamic and thermodiffusive effects. For Lewis numbers less than a critical value Le* < 1, disturbances of the flame front grow during the initial phase of propagation, i.e., when the radius is comparable to the flame thickness. However, for Le > Le*, the flame, which is stable to thermodiffusive effects, becomes unstable only after a critical size is reached. This instability is hydrodynamic in nature and is caused by the thermal expansion of the gas. In this study we provide an expression for the determination of the critical size, or a critical Peclet number, which depends on the thermal expansion coefficient and on the Lewis number. The explicit dependence on all the relevant physicochemical parameters enables us to compare our results with experimental data.
AB - We examine the stability of an outwardly propagating spherical flame accounting for both hydrodynamic and thermodiffusive effects. For Lewis numbers less than a critical value Le* < 1, disturbances of the flame front grow during the initial phase of propagation, i.e., when the radius is comparable to the flame thickness. However, for Le > Le*, the flame, which is stable to thermodiffusive effects, becomes unstable only after a critical size is reached. This instability is hydrodynamic in nature and is caused by the thermal expansion of the gas. In this study we provide an expression for the determination of the critical size, or a critical Peclet number, which depends on the thermal expansion coefficient and on the Lewis number. The explicit dependence on all the relevant physicochemical parameters enables us to compare our results with experimental data.
UR - http://www.scopus.com/inward/record.url?scp=0023089496&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0023089496&partnerID=8YFLogxK
U2 - 10.1016/0010-2180(87)90015-0
DO - 10.1016/0010-2180(87)90015-0
M3 - Article
AN - SCOPUS:0023089496
VL - 67
SP - 77
EP - 90
JO - Combustion and Flame
JF - Combustion and Flame
SN - 0010-2180
IS - 1
ER -