Convective instability and transient growth in steady and pulsatile stenotic flows
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
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|
|Official Date:||July 2008|
|Page Range:||pp. 267-277|
|Access rights to Published version:||Open Access|
Åkervik, E., Hœpffner, J., Ehrenstein, U. & Henningson, D. S. 2007 Optimal growth, model reduction and control in a separated boundary-layer flow using global eigenmodes. J. Fluid Mech. 579, 305–314.
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