Experiments on transient growth of turbulent spots

Abstract

We present detailed experiments on transient growth of turbulent spots induced by external forcing in plane Couette-Poiseuille flow, which are studied in the framework of linear of transient growth. The experimental investigation is supplemented with full theoretical analysis. We compare quantitatively the experimental and theoretical results, including maximal gain and the time at which it occurs. We also present the limits of validity for the application of the linear theory at high amplitude perturbation and Reynolds number, showing experiments with self-sustained states.

12 pages, 9 figures

References in corpus (2)

• An optimisation approach for analysing nonlinear stability with transition to turbulence in fluids as an exemplar
• A doubly-localized equilibrium solution of plane Couette flow

Cited by in corpus (6)

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• Far field of turbulent spots
• Wave focusing and related multiple dispersion transitions in plane Poiseuille flows