On numerical resolution requirements in combustion modeling

Ashraf N. Al-Khateeb, Joseph M. Powers, Samuel Paolucci

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations


We discuss one-dimensional steady laminar premixed flames in a mixture of calorically imperfect ideal gases described by detailed kinetics andmulti-component transport. The required spatial discretization to capture all detailed continuum physics in the reaction zone is determined through use of a robust method developed to rigorously calculate the finest length scale a posteriori. This is accomplished by reformulating the governing equations as a nonlinear system of differential algebraic equations. Then, the solution of the steady reaction zone structure is obtained, and the generalized eigenvalues of the locally linearized system are calculated at each point in the reaction zone. Their reciprocals provide all local length scales. Application of the method to laminar flames reveals that the finest length scale is on the order of 10-4 cm. Independent estimates from grid convergence studies on the continuumequations as well as from the underlying molecular collision theory verify the result. This finest length scale is orders of magnitude smaller than common engineering geometric scales, the discretization scales employed in nearly all multi-dimensional and/or unsteady laminar premixed flame simulations in the literature, and the flame thickness.

Original languageBritish English
Title of host publicationEnergy Systems
Subtitle of host publicationAnalysis, Thermodynamics and Sustainability
Number of pages6
ISBN (Electronic)0791843009
StatePublished - 2007
EventASME 2007 International Mechanical Engineering Congress and Exposition, IMECE 2007 - Seattle, United States
Duration: 11 Nov 200715 Nov 2007

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)


ConferenceASME 2007 International Mechanical Engineering Congress and Exposition, IMECE 2007
Country/TerritoryUnited States


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