Direct Numerical Simulations of Reacting Fronts in Incompressible Flows
Abstract
We perform direct numerical simulations of an advected scalar field which diffuses and reacts according to a nonlinear reaction law. The goal of the simulations is to study flame stability with respect to initial conditions, and to determine how the bulk burning rate of the reaction front is affected by an imposed flow. We focus for simplicity on the cases of an imposed periodic shear or cellular flow. The interaction between the reaction front and the applied flow is determined by the following parameters: (a) the ratio between the laminar front thickness and the shear length scale, (b) the ratio between the laminar flame speed and the characteristic flow velocity, and (c) the ratio between heat conductivity and material diffusion (Lewis Number). We compare the numerical results with recent work of P. Constantin and collaborators, in particularly, their prediction for flame stability and analytical upper and lower bounds for the bulk burning rate.
- Publication:
-
APS Division of Fluid Dynamics Meeting Abstracts
- Pub Date:
- November 2000
- Bibcode:
- 2000APS..DFD.GL007V