One-dimensional laminar flame propagation with distributed heat losses: Thin flame theory

✍ Scribed by J. Adler

• Publisher: Elsevier Science
• Year: 1963
• Tongue: English
• Weight: 857 KB
• Volume: 7
• Category: Article
• ISSN: 0010-2180
• DOI: 10.1016/0010-2180(63)90154-8

✦ Synopsis

The theory of one-dimensional, steady, laminar flame propagation subject to distributed heat losses is considered.

It is shown that, pvovided the flame is thin, the problem can be formulated in terms of a single differential equation with two sets of boundary conditions.

The solution is expressed as a relationship between an eigenvalue. related to the flame speed, and a dimensionless heat loss parameter from which the inflammability limits may be deduced.

The thin-flame theory is compared with models subject to distributed heat losses upstream or downstream only. It is shown that neglect of either upstream or downstream heat losses causes an overestimate of the critical heat loss parameter by a factor of about two.

'0 Also in the limit relationship 21 becomes exact, so that on solving this with 24, one obtains for the temperature gradients : Tl P,=++h s S(P (7], 7) dr .