An asymptotic theory of condensed phase combustion with inert melting

C. S. Raymond; V. A. Volpert

doi:10.1016/S0893-9659(98)00178-5

An asymptotic theory of condensed phase combustion with inert melting

C. S. Raymond^*, V. A. Volpert

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

2 Scopus citations

Abstract

We derive an asymptotic model for the propagation of a combustion wave through a mixture of solid reactants in the presence of an inert diluent which melts in the reaction zone. We show how melting affects the steady, adiabatic, planar flame speed and the structure of the combustion wave. We also investigate the effect of melting on the linear stability of the steady, planar solution.

Original language	English (US)
Pages (from-to)	89-94
Number of pages	6
Journal	Applied Mathematics Letters
Volume	12
Issue number	3
DOIs	https://doi.org/10.1016/S0893-9659(98)00178-5
State	Published - May 1999

Funding

tSupported by a NASA Graduate Student Research Fellowship. $Supported by N.S.F. Grant DMS-9600103.

Keywords

Combustion wave
Condensed phase combustion
Melting

ASJC Scopus subject areas

Applied Mathematics

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10.1016/S0893-9659(98)00178-5

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title = "An asymptotic theory of condensed phase combustion with inert melting",

abstract = "We derive an asymptotic model for the propagation of a combustion wave through a mixture of solid reactants in the presence of an inert diluent which melts in the reaction zone. We show how melting affects the steady, adiabatic, planar flame speed and the structure of the combustion wave. We also investigate the effect of melting on the linear stability of the steady, planar solution.",

keywords = "Combustion wave, Condensed phase combustion, Melting",

author = "Raymond, {C. S.} and Volpert, {V. A.}",

note = "Funding Information: tSupported by a NASA Graduate Student Research Fellowship. $Supported by N.S.F. Grant DMS-9600103.",

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AU - Volpert, V. A.

N1 - Funding Information: tSupported by a NASA Graduate Student Research Fellowship. $Supported by N.S.F. Grant DMS-9600103.

PY - 1999/5

Y1 - 1999/5

N2 - We derive an asymptotic model for the propagation of a combustion wave through a mixture of solid reactants in the presence of an inert diluent which melts in the reaction zone. We show how melting affects the steady, adiabatic, planar flame speed and the structure of the combustion wave. We also investigate the effect of melting on the linear stability of the steady, planar solution.

AB - We derive an asymptotic model for the propagation of a combustion wave through a mixture of solid reactants in the presence of an inert diluent which melts in the reaction zone. We show how melting affects the steady, adiabatic, planar flame speed and the structure of the combustion wave. We also investigate the effect of melting on the linear stability of the steady, planar solution.

KW - Combustion wave

KW - Condensed phase combustion

KW - Melting

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DO - 10.1016/S0893-9659(98)00178-5

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JF - Applied Mathematics Letters

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ER -

An asymptotic theory of condensed phase combustion with inert melting

Abstract

Funding

Keywords

ASJC Scopus subject areas

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