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Convective instability and transient growth in steady and pulsatile stenotic flows

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Blackburn, H. M., Sherwin, Spencer J. and Barkley, Dwight. (2008) Convective instability and transient growth in steady and pulsatile stenotic flows. Journal of Fluid Mechanics, Vol.607 . pp. 267-277. ISSN 0022-1120

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Official URL: http://dx.doi.org/10.1017/S0022112008001717

Abstract

We show that suitable initial disturbances to steady or long-period pulsatile flows in a straight tube with an axisymmetric 75%-occlusion stenosis can produce very large transient energy growths. The global optimal disturbances to an initially axisymmetric state found by linear analyses are three-dimensional wave packets that produce localized sinuous convective instability in extended shear layers. In pulsatile flow, initial conditions that trigger the largest disturbances are either initiated at, or advect to, the separating shear layer at the stenosis in phase with peak systolic flow. Movies are available with the online version of the paper.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Axial flow, Shear waves, Unsteady flow (Fluid dynamics), Stenosis
Journal or Publication Title:	Journal of Fluid Mechanics
Publisher:	Cambridge University Press
ISSN:	0022-1120
Date:	July 2008
Volume:	Vol.607
Page Range:	pp. 267-277
Identification Number:	10.1017/S0022112008001717
Status:	Peer Reviewed
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/866