ASYMPTOTIC THEORY OF DEFLAGRATIONS AND DETONATIONS I. THE STEADY SOLUTIONS.

A. K. Kapila; B. J. Matkowsky; A. Van Harten

doi:10.1137/0143032

ASYMPTOTIC THEORY OF DEFLAGRATIONS AND DETONATIONS I. THE STEADY SOLUTIONS.

A. K. Kapila^*, B. J. Matkowsky, A. Van Harten

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

11 Scopus citations

Abstract

Combustion waves propagating through a reactive gas are studied in the plane, one-dimensional geometry. On a length scale large compared to the diffusion length, the waves are treated as exothermic discontinuities in an ideal, nonreactive gas. An asymptotic theory is developed which yields the steady structures of the waves in a simple, analytical form. The theory, based on limits of large activation energy and small heat release, treats all possible deflagrations and detonations.

Original language	English (US)
Pages (from-to)	491-519
Number of pages	29
Journal	SIAM Journal on Applied Mathematics
Volume	43
Issue number	3
DOIs	https://doi.org/10.1137/0143032
State	Published - Jan 1 1983

ASJC Scopus subject areas

Applied Mathematics

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abstract = "Combustion waves propagating through a reactive gas are studied in the plane, one-dimensional geometry. On a length scale large compared to the diffusion length, the waves are treated as exothermic discontinuities in an ideal, nonreactive gas. An asymptotic theory is developed which yields the steady structures of the waves in a simple, analytical form. The theory, based on limits of large activation energy and small heat release, treats all possible deflagrations and detonations.",

author = "Kapila, {A. K.} and Matkowsky, {B. J.} and {Van Harten}, A.",

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ASYMPTOTIC THEORY OF DEFLAGRATIONS AND DETONATIONS I. THE STEADY SOLUTIONS.

Abstract

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