Effect of streamwise and preferential diffusion on cylindrical Burke-Schumann flames

Effect of streamwise and preferential diffusion on cylindrical Burke-Schumann flame has been analyzed using perturbation method and Green’s function technique. Results show that for large Peclet number, streamwise diffusion has little effect, while for small Pe, it is balanced with radial diffusion such that a finite minimum flame height exists. Preferential diffusion induces flame temperature variation along the flame surface and the results agree qualitatively with existing experimental data. It also shows that the symmetry in flame temperature variation by the sign of (Le-1) in two dimensional case does not hold in cylindrical flames due to focusing and defocusing effects of mass and thermal diffusion by the radial curvature of flame.