Repository logo
 

Designing a more nonlinearly stable laminar flow via boundary manipulation

Accepted version
Peer-reviewed

Repository DOI


Type

Article

Change log

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

Volume Title

738

Publisher

Cambridge University Press (CUP)
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].