Rate Constants and Third-Body Collision Efficiencies for Recombination of Na with OH and O ₂ : Implications for Flame Inhibition by Alkali Salts

Flame inhibition by alkali metals has implications for solid fuel combustion, fire safety, and a number of industrial processes. While the mechanism of inhibition is fairly well understood, details related to thermodynamic properties and rate constants are still in question. In the present work, the recombination of Na with OH (R5) and O 2 (R7), respectively, was characterized theoretically, and the implications for modeling laminar premixed hydrogen flames doped with sodium species were examined. Third-body collision efficiencies and low-pressure-limit rate constants were obtained using newly fitted ab initio-based potential energy surfaces, classical trajectories, and one-dimensional master equation calculations. The results are consistent with available experimental results and aid in the present modeling study by providing rate information for bath gases and conditions that remain unexplored experimentally. Chemical kinetic modeling of relative Na and absolute H and OH profiles in H 2 -fueled laminar, premixed flames doped with a sodium salt shows that the most important radical removal cycle is the sequence Na + OH (+M) → NaOH (+M) (R5), NaOH + H → Na + H 2 O (R12), even under oxidizing conditions. A secondary cycle, Na + O 2 (+M) ⇄ NaO 2 (+M) (R7), NaO 2 + OH → NaOH + O 2 (R14), is less important due to the low thermal stability of NaO 2 . In most flames, reaction R7 is partially equilibrated, and reaction R14 becomes rate-limiting for the second cycle. The flame analysis supports a lower value of k 14 than indicated by recent work on KO 2 + OH, but more work is required to confirm this.