Designing a more nonlinearly stable laminar flow via boundary manipulation
Accepted version
Peer-reviewed
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Repository DOI
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Authors
Rabin, SME
Caulfield, CP
Kerswell, RR
Abstract
jats:titleAbstract</jats:title>jats:pWe 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.</jats:p>
Description
Keywords
nonlinear instability, transition to turbulence, variational methods
Journal Title
Journal of Fluid Mechanics
Conference Name
Journal ISSN
0022-1120
1469-7645
1469-7645
Volume Title
738
Publisher
Cambridge University Press (CUP)
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Sponsorship
Engineering and Physical Sciences Research Council (EP/H050310/1)
This work is supported by the Engineering and Physical Sciences Research Council [grant number EP/H050310/1].