QUALITATIVE MODEL FOR DYNAMIC COMBUSTION.

Research output: Contribution to journalArticle

Abstract

A qualitative model for studying shock-wave chemistry interactions in combustion theory is introduced. The model studied bears the analogous relationship to reacting gas flow as Burgers' equation does to ordinary compressible fluid flow. When the corresponding physical assumptions of the Chapman-Jouget and von Heumann-Zeldovich-Doring theories are introduced in this model, explicit and completely analogous phenomena occur. Without any approximations, combustion profiles with finite reaction rate and finite diffusion are examined in detail. In the context of this model, the validity of the approximate theories mentioned above depends on the relative size of two critical parameters - the energy liberated by chemical reaction and a parameter which measures the ratio of the width of the shock layer to the reaction zone.

Original languageEnglish (US)
Pages (from-to)70-93
Number of pages24
JournalSIAM Journal on Applied Mathematics
Volume41
Issue number1
StatePublished - Aug 1981

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Combustion
Reacting Flow
Compressible Fluid
Reaction Rate
Compressible Flow
Gas Flow
Burgers Equation
Chemical Reaction
Shock Waves
Shock waves
Model
Chemistry
Reaction rates
Fluid Flow
Flow of gases
Flow of fluids
Chemical reactions
Shock
Approximation
Energy

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

QUALITATIVE MODEL FOR DYNAMIC COMBUSTION. / Majda, Andrew.

In: SIAM Journal on Applied Mathematics, Vol. 41, No. 1, 08.1981, p. 70-93.

Research output: Contribution to journalArticle

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