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DNS Studies of Burning Fronts in
Passive-Reactive Diffusion

Problem 2: Burning in Cellular Flow, Le=1, KPP

Similar to the flame propagation in shear flow, geometric optics and diffusive regimes can be observed for cellular flow, depending on the L/l_o ratio. Flame acceleration in the geometrical optics regime is a function of flow velocity U only, while in diffusive regime L appears as a parameter. For (UL)/(v_ol_o)>1, flame acceleration is proportional to U^1/4 (see plots below).

Dynamics of burning in cellular flow

L/l_o=512,   U/v_o=10.

Burning in cellular flow for different velocities (L/l_o=512)

U/vo=2 avi movie qt movie (1.6M)

U/vo=10 avi movie qt movie (1.1M)

U/vo=50 avi movie qt movie (1.1M)

New: movie with cell borders, U/v_o=20 (1.1M quicktime)

Dependence of Flame Velocity on Flow Parameters


Dashed line corresponds to U^1/4 rate.

Advection-reaction-diffusion problems:

Problem 1: Burning in Shear Flow, Le=1, KPP
Problem 2: Burning in Cellular Flow, Le=1, KPP
Problem 3: Quenching by Shear Flow, Le=1, step function reaction
Problem 4: Quenching by Cellular Flow, Le=1, step function reaction
Problem 5: Quenching by Shear Flow, Le>1, step function reaction

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