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.

arXiv comment12 pages, 9 figures

References in corpus (4)

• 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
• Convective instability in inhomogeneous media: impulse response in the subcritical cylinder wake
• Couette-Poiseuille flow experiment with zero mean advection velocity: Subcritical transition to turbulence

Cited by in corpus (7)

• Fourier continuation method for incompressible fluids with boundaries
• The Self-Sustaining Process in Taylor-Couette Flow
• Experiments on a jet in a crossflow in the low-velocity-ratio regime
• Decay of streaks and rolls in plane Couette-Poiseuille flow
• Far field of turbulent spots
• Lift-up and streak waviness drive the self-sustained process in wall-bounded transition to turbulence
• Wave focusing and related multiple dispersion transitions in plane Poiseuille flows