2009/02/25 by Hazem El-Rabii, El-Rabii, Hazem, Guy Joulin +3
Chemical Engineering · Engineering · Physics and Astronomy · #Advanced Combustion Engine Technologies #Classical Physics (physics.class-ph) #Coal Combustion and Slurry Processing #Combustion and flame dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #physics.class-ph #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.0902.4326
21 pages, 5 figures, RevTex
arxiv created 2009/02/25 · openalex publication_date 2009/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The problem of linear stability of confined V-flames with arbitrary gas expansion is addressed. Using the on-shell description of flame dynamics, a general equation governing propagation of disturbances of an anchored flame is obtained. This equation is solved analytically for V-flames in high-velocity channel streams. It is demonstrated that dynamics of flame disturbances in this case is controlled by the memory effects associated with vorticity generated by the curved front. The perturbation growth rate spectrum is determined, and explicit analytic expressions for the eigenfunctions are given. It is found that the piecewise linear V-structure is unstable for all values of the gas expansion coefficient.