WEAKLY NONLINEAR DETONATION WAVES.

Rodolfo R. Rosales, Andrew Majda

Research output: Contribution to journalArticle

Abstract

A simplified asymptotic model has been developed for studying nonlinear detonation waves in chemically reacting fluids which propagate with wave speed close to the acoustical sound speed. In this regime the fluid mechanical and chemical phenomena interact substantially with each other. The model provides simplified equations for describing this interaction. When the model is specialized to unidirectional combustion waves advancing into a region of uniform flow, the travelling waves of this model system moving with positive speed coincide with the travelling waves in a qualitative model for such effects introduced previously by the second author. Some interesting new combustion waves with partial burning are also analyzed. The two main assumptions in deriving the asymptotic model are weak nonlinearity and a sufficiently high activation energy for the chemical kinetics.

Original languageEnglish (US)
Pages (from-to)1086-1118
Number of pages33
JournalSIAM Journal on Applied Mathematics
Volume43
Issue number5
StatePublished - Oct 1983

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Detonation Wave
Nonlinear Waves
Detonation
Combustion Wave
Traveling Wave
Model
Fluid
Chemical Kinetics
Fluids
Wave Speed
Activation Energy
Reaction kinetics
High Energy
Activation energy
Acoustic waves
Nonlinearity
Partial
Interaction

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

WEAKLY NONLINEAR DETONATION WAVES. / Rosales, Rodolfo R.; Majda, Andrew.

In: SIAM Journal on Applied Mathematics, Vol. 43, No. 5, 10.1983, p. 1086-1118.

Research output: Contribution to journalArticle

Rosales, RR & Majda, A 1983, 'WEAKLY NONLINEAR DETONATION WAVES.', SIAM Journal on Applied Mathematics, vol. 43, no. 5, pp. 1086-1118.
Rosales, Rodolfo R. ; Majda, Andrew. / WEAKLY NONLINEAR DETONATION WAVES. In: SIAM Journal on Applied Mathematics. 1983 ; Vol. 43, No. 5. pp. 1086-1118.
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