title: Spatial dynamics of steady flames 2. Low-dimensional manifolds and the role of transport processes.
abstract: The study of the spatial dynamics of steady one-dimensional H 2/O 2 flames is continued. Algorithms for generating low-dimensional manifolds for these systems are presented and used to find low-dimensional manifolds for the flames and the corresponding adiabatic, isobaric chemical-kinetic systems. It is demonstrated that these algorithms generate manifolds that are more accurate than the ILDM algorithm for two-dimensional manifolds of the flames. The manifolds are then employed to study the relationship between the manifolds of the flame and the manifolds of the chemical-kinetic system. It is shown that the one-dimensional manifolds of the flame match well with the composite manifolds of the chemical kinetics, but that for two-dimensional manifolds there are discrepancies between the flame manifolds and the chemical-kinetic manifolds.
authors.affiliation: Chemical Sciences and Engineering Division, Building 200, Argonne National Laboratory, Argonne, Illinois 60439, USA. davis@tcg.anl.gov
authors.forename: Michael J
authors.initials: MJ
authors.lastname: Davis
authors.forename: Alison S
authors.initials: AS
authors.lastname: Tomlin