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Convective instability in steady stenotic flow: optimal transient growth and experimental observation

Published online by Cambridge University Press:  16 April 2010

M. D. GRIFFITH ,
M. C. THOMPSON ,
T. LEWEKE  and
K. HOURIGAN
M. D. GRIFFITH*
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering and Division of Biological Engineering, Monash University, Melbourne, Victoria 3800, Australia
M. C. THOMPSON
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering and Division of Biological Engineering, Monash University, Melbourne, Victoria 3800, Australia
T. LEWEKE
Affiliation:
Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), CNRS/Universités Aix-Marseille, 49 rue Frédéric Joliot-Curie, BP 146, F-13384 Marseille Cedex 13, France
K. HOURIGAN
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering and Division of Biological Engineering, Monash University, Melbourne, Victoria 3800, Australia
*
†Email address for correspondence: martin.griffith@eng.monash.edu.au
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Abstract

An optimal transient growth analysis is compared with experimental observation for the steady flow through an abrupt, axisymmetric stenosis of varying stenosis degree. Across the stenosis range, a localized sinuous convective shear-layer instability type is predicted to dominate. A comparison of the shape and development of the optimal modes is made with experimental dye visualizations. The presence of the same sinuous-type disturbance immediately upstream of the highly chaotic region observed in the experimental flow is consistent with the optimal growth predictions. This, together with the fact that the flow is unstable globally only at much higher Reynolds numbers, suggests bypass transition.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 655 , 25 July 2010 , pp. 504 - 514
Copyright
Copyright © Cambridge University Press 2010

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References

REFERENCES

Ahmed, S. A. & Giddens, D. P. 1984 Pulsatile poststenotic flow studies with laser Doppler anemometry. J. Biomech. 17, 695–705.CrossRefGoogle ScholarPubMed
Barkley, D., Blackburn, H. M. & Sherwin, S. J. 2008 Direct optimal growth analysis for timesteppers. Intl J. Numer. Meth. Fluids 57, 1435–1458.CrossRefGoogle Scholar
Blackburn, H. M., Sherwin, S. J. & Barkley, D. 2008 Convective instability and transient growth in steady and pulsatile stenotic flow. J. Fluid Mech. 607, 267–277.CrossRefGoogle Scholar
Griffith, M. D., Leweke, T., Thompson, M. C. & Hourigan, K. 2008 Steady inlet flow in stenotic geometries: convective and absolute instabilities. J. Fluid Mech. 616, 111–133.Google Scholar
Griffith, M. D., Leweke, T., Thompson, M. C. & Hourigan, K. 2009 Pulsatile flow in stenotic geometries: flow behaviour and stability. J. Fluid Mech. 622, 291–320.CrossRefGoogle Scholar
Khalifa, A. M. A. & Giddens, D. P. 1981 Characterization and evolution of poststenotic disturbances. J. Biomech. 14, 279–296.Google Scholar
Mallinger, F. & Drikakis, D. 2002 Instability in three-dimensional, unsteady, stenotic flows. Intl J. Heat Fluid Flow 23, 657–663.CrossRefGoogle Scholar
Ohja, M., Cobbold, R. S. C., Johnston, K. W. & Hummel, R. L. 1989 Pulsatile flow through constricted tubes: an experimental investigation using photochromic tracer methods. J. Fluid Mech. 203, 173–197.Google Scholar
Schmid, P. J. & Henningson, D. S. 2001 Stability and Transition in Shear Flows. Springer.CrossRefGoogle Scholar
Sherwin, S. J. & Blackburn, H. M. 2005 Three-dimensional instabilities of steady and pulsatile axisymmetric stenotic flows. J. Fluid Mech. 533, 297–327.CrossRefGoogle Scholar
Thompson, M. C., Hourigan, K., Cheung, A. & Leweke, T. 2006 Hydrodynamics of a particle impact on a wall. Appl. Math. Mod. 30 (11), 1356–1369.CrossRefGoogle Scholar
Thompson, M. C., Hourigan, K. & Sheridan, J. 1996 Three-dimensional instabilities in the wake of a circular cylinder. Exp. Therm. Fluid Sci. 12, 190–196.CrossRefGoogle Scholar
Varghese, S. S., Frankel, S. H. & Fischer, P. F. 2007 Direct numerical simulation of stenotic flows. Part 1. Steady flow. J. Fluid Mech. 582, 253–280.CrossRefGoogle Scholar