Numerical Simulation of Unsteady Laminar Flame Propagation via the Method of lines: Further Mathematical Refinements and Results Obtained on Halogen Inhibition

Abstract

The paper presents a specific version a standard numerical scheme, viz, the method of lines, to solve usteady laminar flame propagation equations. In the Appendix, a Summary of novel results is given which includes a accuracy properties of five-point noncentral spatial discretization schemes, when couple with eplicit time integration schemes as in the present numerical method. Next, usefulness of the numerical scheme is illustrated on the basis of extensive computations dealing with H₂-O₂-N₂ laminar premixed flames inhibited by halogen containing species, viz. HBr and HCI. Results concern stendy state flame structures, unsteady HBr extinction numerical experiments and sensitivity analysis of the obtained results to input transport data. In particular,it is shown that kinetic and transport data must be a coherent menner to insure adequate comparison with experimental results. A discussion a minimal kinetic rate set to adequately model halogen inhibition is presented.