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

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

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Bibliographic Details
Published inCombustion and flame Vol. 7; pp. 39 - 49
Main Author Adler, J.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 1963
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ISSN0010-2180
1556-2921
DOI10.1016/0010-2180(63)90154-8

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Summary:The theory of one-dimensional, steady, laminar flame propagation subject to distributed heat losses is considered. It is shown that, provided 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.
ISSN:0010-2180
1556-2921
DOI:10.1016/0010-2180(63)90154-8