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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| Published in | Combustion and flame Vol. 7; pp. 39 - 49 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
1963
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| Online Access | Get full text |
| ISSN | 0010-2180 1556-2921 |
| DOI | 10.1016/0010-2180(63)90154-8 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Adler, J. |
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| CitedBy_id | crossref_primary_10_1016_0010_2180_67_90015_6 crossref_primary_10_1016_j_apm_2019_09_010 crossref_primary_10_1063_1_1761533 crossref_primary_10_1016_0094_5765_76_90049_7 crossref_primary_10_1080_00102208408923775 crossref_primary_10_1016_0360_1285_86_90014_6 crossref_primary_10_1016_0010_2180_74_90051_0 crossref_primary_10_1016_0010_2180_81_90121_8 crossref_primary_10_1016_0360_1285_85_90012_7 crossref_primary_10_1016_0360_1285_93_90015_7 crossref_primary_10_1080_00102208908924030 crossref_primary_10_1016_0010_2180_66_90073_3 crossref_primary_10_1080_00102200500325306 crossref_primary_10_1155_2016_1069873 crossref_primary_10_1002_bbpc_19780820816 crossref_primary_10_1016_0010_2180_66_90070_8 crossref_primary_10_1177_0957650919897755 |
| Cites_doi | 10.1016/0010-2180(57)90016-0 10.1016/S0010-2180(60)80045-4 10.1016/0010-2180(57)90005-6 10.1016/S0010-2180(60)80044-2 10.1016/0010-2180(57)90015-9 |
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| References | Adler, Spalding (BIB5) 1961; 261 Berlad, Yang (BIB4) 1960; 4 Doherty (BIB7) 1962 Chen, Toong (BIB3) 1960; 4 Spalding (BIB1) 1957; 240 Mayer (BIB2) 1957; 1 Spalding, Spalding (BIB6) 1957; 1 Chen (10.1016/0010-2180(63)90154-8_BIB3) 1960; 4 Adler (10.1016/0010-2180(63)90154-8_BIB5) 1961; 261 Doherty (10.1016/0010-2180(63)90154-8_BIB7) 1962 Spalding (10.1016/0010-2180(63)90154-8_BIB6_1) 1957; 1 Mayer (10.1016/0010-2180(63)90154-8_BIB2) 1957; 1 Spalding (10.1016/0010-2180(63)90154-8_BIB1) 1957; 240 Berlad (10.1016/0010-2180(63)90154-8_BIB4) 1960; 4 Spalding (10.1016/0010-2180(63)90154-8_BIB6_2) 1957; 1 |
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| Title | One-dimensional laminar flame propagation with distributed heat losses: Thin flame theory |
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