Flow distributed oscillation, flow velocity modulation and resonance

Details Flow distributed oscillation, flow velocity modulation and resonance Flow distributed oscillation, flow velocity modulation and resonance

2005-03-07

arxiv.org/abs/nlin/0503013v2

Nonlinear Sciences

Pattern Formation and Solitons

submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.72.027202

We examine the effects of a periodically varying flow velocity on the standing and travelling wave patterns formed by the flow-distributed oscillation (FDO) mechanism. In the kinematic (or diffusionless) limit, the phase fronts undergo a simple, spatiotemporally periodic longitudinal displacement. On the other hand, when the diffusion is significant, periodic modulation of the velocity can disrupt the wave pattern, giving rise in the downstream region to travelling waves whose frequency is a rational multiple of the velocity perturbation frequency. We observe frequency locking at ratios of 1:1, 2:1 and 3:1, depending on the amplitude and frequency of the velocity modulation. This phenomenon can be viewed as a novel, rather subtle type of resonant forcing.

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