Spinning cellular flames

Alvin Bayliss; Bernard J. Matkowsky

doi:10.1016/0893-9659(90)90141-W

Spinning cellular flames

Alvin Bayliss^*, Bernard J. Matkowsky

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The problem of a flame stabilized by a line source of fuel of strength 2πκ is solved numerically for values of the Lewis number L < 1. In this parameter regime analytical studies as well as previous numerical studies have found stationary solutions corresponding to both axisymmetric and cellular flames. For sufficiently small values of L, we have computed time periodic pulsating cellular solutions in the form of travelling waves.

Original language	English (US)
Pages (from-to)	75-79
Number of pages	5
Journal	Applied Mathematics Letters
Volume	3
Issue number	3
DOIs	https://doi.org/10.1016/0893-9659(90)90141-W
State	Published - 1990

ASJC Scopus subject areas

Applied Mathematics

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10.1016/0893-9659(90)90141-W

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title = "Spinning cellular flames",

abstract = "The problem of a flame stabilized by a line source of fuel of strength 2πκ is solved numerically for values of the Lewis number L < 1. In this parameter regime analytical studies as well as previous numerical studies have found stationary solutions corresponding to both axisymmetric and cellular flames. For sufficiently small values of L, we have computed time periodic pulsating cellular solutions in the form of travelling waves.",

author = "Alvin Bayliss and Matkowsky, {Bernard J.}",

note = "Funding Information: Supported by N.S.F. grant DMS 87-01543 and D.O.E. grant DEFGOZER25027",

year = "1990",

doi = "10.1016/0893-9659(90)90141-W",

language = "English (US)",

volume = "3",

pages = "75--79",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Limited",

number = "3",

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TY - JOUR

T1 - Spinning cellular flames

AU - Bayliss, Alvin

AU - Matkowsky, Bernard J.

N1 - Funding Information: Supported by N.S.F. grant DMS 87-01543 and D.O.E. grant DEFGOZER25027

PY - 1990

Y1 - 1990

N2 - The problem of a flame stabilized by a line source of fuel of strength 2πκ is solved numerically for values of the Lewis number L < 1. In this parameter regime analytical studies as well as previous numerical studies have found stationary solutions corresponding to both axisymmetric and cellular flames. For sufficiently small values of L, we have computed time periodic pulsating cellular solutions in the form of travelling waves.

AB - The problem of a flame stabilized by a line source of fuel of strength 2πκ is solved numerically for values of the Lewis number L < 1. In this parameter regime analytical studies as well as previous numerical studies have found stationary solutions corresponding to both axisymmetric and cellular flames. For sufficiently small values of L, we have computed time periodic pulsating cellular solutions in the form of travelling waves.

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UR - http://www.scopus.com/inward/citedby.url?scp=44949267396&partnerID=8YFLogxK

U2 - 10.1016/0893-9659(90)90141-W

DO - 10.1016/0893-9659(90)90141-W

M3 - Article

AN - SCOPUS:44949267396

SN - 0893-9659

VL - 3

SP - 75

EP - 79

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 3

ER -

Spinning cellular flames

Abstract

ASJC Scopus subject areas

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