Spatial dynamics of steady flames 2. Low-dimensional manifolds and the role of transport processes |
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Authors: | Davis Michael J Tomlin Alison S |
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Institution: | Chemical Sciences and Engineering Division, Building 200, Argonne National Laboratory, Argonne, Illinois 60439, USA. davis@tcg.anl.gov |
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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. |
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