Mixing-induced global modes in open active flow

Details Mixing-induced global modes in open active flow Mixing-induced global modes in open active flow

2007-06-28

arxiv.org/abs/0706.4274v2

Phys. Rev. Lett. 99, 184503 (2007)

Nonlinear Sciences

Pattern Formation and Solitons

new version with some minor changes, added journal reference and DOI information; 4 pages, 4 figures, published in Physical Re

Scientific paper

10.1103/PhysRevLett.99.184503

We describe how a convectively unstable active field in an open flow configuration becomes absolutely unstable due to local mixing. A representation of the mixing region as those with locally enhanced effective diffusion allows us to find the linear transition point to unstable global mode analytically. We derive the critical exponent characterizing weakly nonlinear regimes beyond instability and compare it with numerical simulations of a full two-dimensional flow problem.

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