Integral method solution of time-dependent strained diffusion-reaction layers with multistep kinetics

Werner Dahm, Grétar Tryggvason, Mei Zhuang

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Multiple coupled chemical reactions occurring within strained diffusion layers are key to a wide range of reactive flow problems. An integral approach is presented here to allow calculations of global properties of such reactive layers for complex multistep chemical kinetics and time-varying strain rates. The infinite-degree-of-freedom partial differential equations (PDEs) governing the dynamics of the species concentration profiles for reactants, intermediates, and products as well as the temperature are projected onto a set of ordinary differential equations having just a few degrees of freedom for the evolution of integral moments of these profiles. The presence of multistep reaction kinetics leads to a set of highly coupled nonlinear moment equations. Numerical solutions are presented for four-step methane-air kinetics coupled with thermal nitric oxide kinetics and are compared with direct solutions of the original PDEs. Some properties and numerical illustrations of key features of the internal layer structure and global flame properties, including the extinction phenomenon characteristic of large Zel'dovich number reaction kinetics, are discussed. The method presented brings comparatively detailed parametric studies of such problems within reach of rather modest computational requirements.

Original languageEnglish (US)
Pages (from-to)1039-1059
Number of pages21
JournalSIAM Journal on Applied Mathematics
Volume56
Issue number4
StatePublished - Aug 1996
Externally publishedYes

Fingerprint

Integral Method
Reaction-diffusion
Reaction kinetics
Reaction Kinetics
Kinetics
Partial differential equations
Partial differential equation
Degree of freedom
Internal Layers
Nitric Oxide
Moment Equations
Chemical Kinetics
Methane
Nitric oxide
Strain Rate
Flame
Chemical Reaction
Ordinary differential equations
Extinction
Strain rate

Keywords

  • Combustion
  • Global properties
  • Integral methods
  • Reacting flows

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Integral method solution of time-dependent strained diffusion-reaction layers with multistep kinetics. / Dahm, Werner; Tryggvason, Grétar; Zhuang, Mei.

In: SIAM Journal on Applied Mathematics, Vol. 56, No. 4, 08.1996, p. 1039-1059.

Research output: Contribution to journalArticle

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