Weakly nonlinear modelling of a forced turbulent axisymmetric wake

Weakly nonlinear modelling of a forced turbulent axisymmetric wake

A theory is presented where the weakly nonlinear analysis of laminar globally unstable flows in the presence of external forcing is extended to the turbulent regime. The analysis is demonstrated and validated using experimental results of an axisymmetric bluff-body wake at high Reynolds numbers, ReD ∼ 1.88 × 105, where forcing is applied using a zero-net-mass-flux actuator located at the base o...

Modelling of aggregate restructuring in a weakly turbulent flow

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Optimal waveform for fast entrainment of weakly forced nonlinear oscillators.

For many biological and engineered systems, a central function or design goal is to abbreviate the time required to synchronize a rhythmic process to an external forcing signal. We present a theory for deriving the input that effectively minimizes the average transient time required to entrain a phase model, which enables a practical technique for constructing fast entrainment waveforms for gen...

Weakly nonlinear analysis of impulsively-forced Faraday waves.

Parametrically-excited surface waves, forced by a repeating sequence of delta-function impulses, are considered within the framework of the Zhang-Viñals model [W. Zhang and J. Viñals, J. Fluid Mech. 336, 301 (1997)]. With impulsive forcing, the linear stability analysis can be carried out exactly and leads to an implicit equation for the neutral stability curves. As noted previously [J. Bechhoe...

The Incompressible Laminar Axisymmetric Wake