Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T09:10:39.808Z Has data issue: false hasContentIssue false

Effect of small asymmetries on axisymmetric stenotic flow

Published online by Cambridge University Press:  19 March 2013

Martin D. Griffith*
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering & Division of Biological Engineering, Monash University, Melbourne, Victoria 3800, Australia
Thomas Leweke
Affiliation:
Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), UMR 7342 CNRS, Aix-Marseille Université, 13384 Marseille, France
Mark C. Thompson
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering & Division of Biological Engineering, Monash University, Melbourne, Victoria 3800, Australia
Kerry Hourigan
Affiliation:
Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Department of Mechanical and Aerospace Engineering & Division of Biological Engineering, Monash University, Melbourne, Victoria 3800, Australia
*
Email address for correspondence: [email protected]

Abstract

Flow through axisymmetric and eccentric sinuous stenoses is investigated numerically, for Reynolds numbers up to 400. The eccentricity consists of an offset of the stenosis throat. A range of stenosis eccentricity is tested; the wake flow is found to be highly sensitive to small eccentricities in the stenosis geometry, even with stenosis offsets of the order of the machining precision of experimental test-sections. Comparisons are made between the numerically simulated flow through stenoses with small eccentricities and results from the literature of non-axisymmetric flows through nominally axisymmetric geometries. The effect of distortion to the inlet Poiseuille velocity profile is also investigated and found to have a significantly less severe effect on the downstream wake flow than geometric eccentricity.

Type
Rapids
Copyright
©2013 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ahmed, S. A. & Giddens, D. P. 1983 Velocity measurements in steady flow through axisymmetric stenoses at moderate Reynolds numbers. J. Biomech. 16, 505516.CrossRefGoogle ScholarPubMed
Brons, M., Shen, W. Z., Sorensen, J. N. & Zhu, W. J. 2007 The influence of imperfections on the flow structure of steady vortex breakdown bubbles. J. Fluid Mech. 578, 453466.CrossRefGoogle Scholar
Brons, M., Thompson, M. C. & Hourigan, K. 2009 Dye visualization near a three-dimensional stagnation point: application to the vortex breakdown bubble. J. Fluid Mech. 622, 177194.Google Scholar
Cantwell, C. D., Barkley, D. & Blackburn, H. M. 2010 Transient growth analysis of flow through a sudden expansion in a circular pipe. Phys. Fluids 22, 034101.Google Scholar
Fearn, R. M., Mullin, T. & Cliffe, K. A. 1990 Nonlinear flow phenomena in a symmetric sudden expansion. J. Fluid Mech. 211, 595608.Google 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, 111133.Google Scholar
Griffith, M. D., Thompson, M. C., Leweke, T. & Hourigan, K. 2010 Convective instability in steady stenotic flow: optimal transient growth and experimental observation. J. Fluid Mech. 655, 504514.Google Scholar
Griffith, M. D., Thompson, M. C., Leweke, T., Hourigan, K. & Anderson, W. P. 2007 Wake behaviour and instability of flow through a partially blocked channel. J. Fluid Mech. 582, 319340.Google Scholar
Karniadakis, G. E. & Sherwin, S. J. 1999 Spectral/hp Element Methods for CFD, 1st edn. Oxford University Press.Google Scholar
Mao, X., Blackburn, H. M. & Sherwin, S. J. 2012 Optimal inflow boundary condition perturbations in steady stenotic flow. J. Fluid Mech. 705, 306321.Google Scholar
Peterson, S. D. & Plesniak, M. W. 2008 The influence of inlet velocity profile and secondary flow on pulsatile flow in a model artery with stenosis. J. Fluid Mech. 616, 263301.CrossRefGoogle Scholar
Sanmiguel-Rojas, E. & Mullin, T. 2012 Finite-amplitude solutions in the flow through a sudden expansion in a circular pipe. J. Fluid Mech. 691, 201213.Google Scholar
Sanmiguel-Rojas, E., del Pino, C. & Gutiérrez-Montes, C. 2010 Global mode analysis of a pipe flow through a 1:2 axisymmetric sudden expansion. Phys. Fluids 22, 071702.Google Scholar
Sherwin, S. J. & Blackburn, H. M. 2005 Three-dimensional instabilities of steady and pulsatile axisymmetric stenotic flows. J. Fluid Mech. 533, 297327.Google Scholar
Sorensen, J. N. & Christensen, E. A. 1995 Direct numerical simulation of rotating fluid flow in a closed cylinder. Phys. Fluids 7, 764778.Google Scholar
Spohn, A., Mory, M. & Hopfinger, E. J. 1998 Experiments on vortex breakdown in a confined flow generated by a rotating disc. J. Fluid Mech. 370, 7399.Google Scholar
Thompson, M. C. & Hourigan, K. 2003 The sensitivity of steady vortex breakdown bubbles in confined cylinder flows to rotating lid misalignment. J. Fluid Mech. 496, 129138.Google 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, 253280.Google Scholar
Vétel, J., Garon, A., Pelletier, D. & Farinas, M.-I. 2008 Asymmetry and transition to turbulence in a smooth axisymmetric constriction. J. Fluid Mech. 607, 351386.Google Scholar