Flame Wrinkles From The Zhdanov-Trubnikov Equation

Guy Joulin (1) , Bruno Denet (2)

1 PPrime [Poitiers] - Institut Pprime [UPR 3346]
2 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre

The Zhdanov-Trubnikov equation describing wrinkled premixed flames is studied, using pole decomposi tions as starting points. Its one-parameter (−1 0 (over-stabilisation) such analytical solutions can yield accurate flame shapes for 0 < c < 0.6. Open problems are invoked.

Mots clés: Flame pattern; Nonlinearity; Pole decomposition; Integral equation

Domaines: Formation de Structures et Solitons [nlin.PS]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Systèmes Solubles et Intégrables [nlin.SI]

Guy Joulin, Bruno Denet. Flame Wrinkles From The Zhdanov-Trubnikov Equation. Physics Letters A, 2012, 376 (22), pp.1797-1802. ⟨10.1016/j.physleta.2012.03.062⟩. ⟨hal-00695283⟩