Scaling of Vortex-Induced Flame Stretch Profiles

Abstract

Scaling relations for flame stretch profiles (i.e. spatial distribution of flame stretch) induced by a vortex are provided in that the magnitude of the flame stretch profiles is found to scale with the maximum flame stretch (K∗) determined by both the characteristic flow strain and flame curvature contribution, while the spatial extent of the flame stretch profiles scales as (r²K∗/S_L) where r_m and S_L are the vortex radius and laminar flame speed, respectively. In addition, temporal variations in flame stretch profiles can be approximated by assigning a parabolic function for the time-dependent peak flame stretch and appropriately scaling the magnitude and spatial extent of flame stretch profiles.

Key Words:

• Flame stretch
• vortex
• scaling