Analytical and numerical modeling of flame-balls in hydrogen-air mixtures

✍ Scribed by J. Buckmaster; M. Smooke; V. Giovangigli

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 787 KB
• Volume: 94
• Category: Article
• ISSN: 0010-2180
• DOI: 10.1016/0010-2180(93)90024-w

✦ Synopsis

Flame-balls are stationary spherical premixed flames observed in certain near-limit mixtures. It is believed that radiative heat losses are an important stabilizing influence. Numerical solutions of flame balls are constructed for hydrogen-air mixtures using an accurate description of the chemical kinetics, diffusive transport, and radiation losses. A lean limit equivalence ratio of 0.0866 is predicted and a rich limit of 2.828. For any equivalence ratio between the two limits there are two solutions. One is characterized by a small flame, incomplete reactant consumption, and negligible radiation losses. The other by a large flame, complete consumption of one of the reactants, and significant radiation losses. The maximum temperature varies between 1200 and 900 K as the two solution branches are traversed. Much of our discussion is a reprise and modification of previously published analytical results, for these provide physical insight into the nature of the solutions, and suggest that a portion of the large flame branch near the lean limit is stable and so corresponds to observable flames.