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Growth dynamics of turbulent spots in plane Couette flow. (English) Zbl 1383.76188
Summary: We experimentally and numerically investigate the temporal aspects of turbulent spots spreading in a plane Couette flow for transitional Reynolds numbers between 300 and 450. Spot growth rate, spot advection rate and large-scale flow intensity are measured as a function of time and Reynolds number. All these quantities show similar dynamics clarifying the role played by large-scale flows in the advection of the turbulent spot. The contributions of each possible growth mechanism, that is, growth induced by large-scale advection or growth by destabilization, are discussed for the different stages of the spot growth. A scenario that gathers all these elements is providing a better understanding of the growth dynamics of turbulent spots in plane Couette flow that should possibly apply to other extended shear flows.

##### MSC:
 76F06 Transition to turbulence 76Exx Hydrodynamic stability 37N10 Dynamical systems in fluid mechanics, oceanography and meteorology
##### Keywords:
instability; transition to turbulence
channelflow
Full Text:
##### References:
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