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Designing a more nonlinearly stable laminar flow via boundary manipulation

dc.creatorRabin, SME
dc.creatorCaulfield, Colm-cille Patrick
dc.creatorKerswell, Richard Rodney
dc.description.abstractWe show how a fully nonlinear variational method can be used to design a more nonlinearly stable laminar shear flow by quantifying the effect of manipulating the boundary conditions of the flow. Using the example of plane Couette flow, we demonstrate that by forcing the boundaries to undergo spanwise oscillations in a certain way, it is possible to increase the critical disturbance energy for the onset of turbulence by 41 %. If this is sufficient to ensure laminar flow (i.e. ambient noise does not exceed this increased threshold), nearly four times less energy is consumed than in the turbulent flow which exists in the absence of imposed spanwise oscillations.
dc.publisherCambridge University Press
dc.publisherJournal of Fluid Mechanics
dc.subjectnonlinear instability
dc.subjecttransition to turbulence
dc.subjectvariational methods
dc.titleDesigning a more nonlinearly stable laminar flow via boundary manipulation

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