Front propagation in cellular flow
Abstract
The problem of front propagation in a stirred medium is addressed for flow with cellular patterns. As a consequence of stirring, the effective velocity of the front is enhanced with respect to the non-stirred case. For fast advection the front advances with a velocity proportional to U^{1/4}, where U is the stirring intensity, whereas for slow advection the front speed is proportional to U^{3/4}. The macroscopic dynamics of the concentration field is described in terms of an effective reaction-diffusion equation with renormalized parameters. The theoretical predictions for the effective front velocity are confirmed by direct numerical simulations.Keywords
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