A pressure-gradient mechanism for vortex shedding in constricted channels

Physics of Fluids

Volumn 25, Issue 12, 2013, Pages

  Boghosian, M E ^a   Cassel, K W ^a  

^a Illinois Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; NEWTONIAN LIQUIDS; PRESSURE GRADIENT; REYNOLDS NUMBER; VORTEX FLOW; VORTEX SHEDDING;

CONSTRICTED CHANNELS; CONVECTIVE INSTABILITIES; FLOW INSTABILITIES; GRADIENT MECHANISM; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; NAVIER STOKES SOLUTION; SEQUENCE OF EVENTS; UNSTEADY VORTICES;

NAVIER STOKES EQUATIONS;

EID: 84891603797     PISSN: 10706631     EISSN: 10897666     Source Type: Journal    
DOI: 10.1063/1.4841576     Document Type: Article

References (45)

1. Koumoutsakos P. Leonard A. High-resolution simulations of the flow around an impulsively started cylinder using vortex methods. J. Fluid Mech. 1995, 296:1-38. 10.1017/S0022112095002059.
2. Marquillie M. Ehrenstein U. On the onset of nonlinear oscillations in a separating boundary-layer flow. J. Fluid Mech. 2003, 490:169-188. 10.1017/S0022112003005287.
3. Wee D. Yi T. Annaswamy A. Ghoniem A. Self-sustained oscillations and vortex shedding in backward-facing step flows: Simulation and linear instability analysis. Phys. Fluids 2004, 16:3361-3373. 10.1063/1.1773091.
4. Griffith M. Thompson M. Leweke T. Hourigan K. Anderson W. Wake behaviour and instability of flow through a partially blocked channel. J. Fluid Mech. 2007, 582:319-340. 10.1017/S0022112007005861.
5. Mittal R. Simmons S. Najjar F. Numerical study of pulsatile flow in a constricted channel. J. Fluid Mech. 2003, 485:337-378. 10.1017/S002211200300449X.
6. Varghese S. Frankel S. Fischer P. Direct numerical simulation of stenotic flows. Part 1. Steady flow. J. Fluid Mech. 2007, 582:253-280. 10.1017/S0022112007005848.
7. Bluestein D. Gutierrez C. Londono M. Schoephoerster R. Vortex shedding in steady flow through a model of an arterial stenosis and its relevance to mural platelet deposition. Ann. Biomed. Eng. 1999, 27:763-773. 10.1114/1.230.
8. Vetel J. Garon D. Pelletier D. Farinas M. Asymmetry and transition to turbulence in a smooth axisymmetric constriction. J. Fluid Mech. 2008, 607:351-386. 10.1017/S0022112008002188.
9. Sherwin S. Blackburn H.H. Three-dimensional instabilities and transition of steady and pulsatile axisymmetric stenotic flows. J. Fluid Mech. 2005, 533:297-327. 10.1017/S0022112005004271.
10. Alizard F. Cherubini S. Robinet J. Sensitivity and optimal forcing response in separated boundary layer flows. Phys. Fluids 2009, 21:064108. 10.1063/1.3153908.
11. Sobey I. Drazin P. Bifurcations of two-dimensional channel flows. J. Fluid Mech. 1986, 171:263-287. 10.1017/S0022112086001441.
12. Beratlis N. Balaras E. Kiger K. Direct numerical simulations of transitional pulsatile flow through a constriction. J. Fluid Mech. 2007, 587:425-451. 10.1017/S0022112007007380.
13. Gharib M. Rambod E. Shariff K. A universal time scale for vortex ring formation. J. Fluid Mech. 1998, 360:121-140. 10.1017/S0022112097008410.
14. Griffith M. Leweke T. Thompson M. Hourigan K. Steady inlet flow in stenotic geometries: Convective and absolute instabilities. J. Fluid Mech. 2008, 616:111-133. 10.1017/S0022112008004084.
15. Cherubini S. Robinet J. De Palma P. The effects of non-normality and nonlinearity of the Navier-Stokes operator on the dynamics of a large laminar separation bubble. Phys. Fluids 2010, 22:014102. 10.1063/1.3276903.
16. Benjamin T. The alliance of practical and analytical insights into the non-linear problems of fluid mechanics. Applications of Methods of Functional Analysis to Problems in Mechanics 1976, 503:8-28. P. Germain, B. Nayroles, in Lecture Notes in Mathematics Vol. edited by and (Springer-Verlag), pp.
17. Rosenfeld M. Rambod E. Gharib M. Circulation and formation number of laminar vortex rings. J. Fluid Mech. 1998, 376:297-318. 10.1017/S0022112098003115.
18. Kiya M. Sasaki K. Structure of a turbulent separation bubble. J. Fluid Mech. 1983, 137:83-113. 10.1017/S002211208300230X.
19. Obabko A. Cassel K. Navier-Stokes solutions of unsteady separation induced by a vortex. J. Fluid Mech. 2002, 465:99-130. 10.1017/S0022112002008996.
20. Obabko A. Cassel K. On the ejection-induced instability in Navier-Stokes solutions of unsteady separation. Philos. Trans. R. Soc. London, Ser. A 2005, 363:1189-1198. 10.1098/rsta.2005.1560.
21. Boghosian M.E. Flow in partially constricted planar channels: Origins of vortex shedding and global stability of Navier-Stokes solutions. 2011, Ph.D. thesis, Illinois Institute of Technology, Chicago, IL.
22. Theofilis V. Hein S. Dallmann U. On the origins of unsteadiness and three-dimensionality in a laminar separation bubble. Philos. Trans. R. Soc. London, Ser. A 2000, 358:3229-3246. 10.1098/rsta.2000.0706.
23. Desphande M. Giddens D. Mabon R. Steady laminar flow through modeled vascular stenoses. J. Biomech. 1976, 9:165-174. 10.1016/0021-9290(76)90001-4.
24. Solzbach U. Wollschlager H. Zeiher A. Just H. Effect of stenotic geometry on flow behaviour across stenotic models. Medical and Biological Engineering and Computing 1987, 25:543-550. 10.1007/BF02441747.
25. Stroud J. Berger S. Saloner D. Influence of stenosis morphology on flow through severely stenotic vessels: Implications for plaque rupture. J. Biomech. 2000, 33:443-455. 10.1016/S0021-9290(99)00207-9.
26. Hammes M. Boghosian M. Cassel K. Funaki B. Coe F. Characteristic differences in cephalic arch geometry for diabetic and non-diabetic ESRD patients. Nephrol. Dial. Transplant. 2009, 24:2190-2194. 10.1093/ndt/gfp062.
27. Spotz W. Accuracy and performance of numerical wall boundary conditions for steady, 2D, incompressible streamfunction vorticity. Int. J. Numer. Methods Fluids 1998, 28:737-757. 10.1002/(SICI)1097-0363(19980930)28:4<737::AID-FLD744>3.0.CO;2-L.
28. Obabko A.V. Navier-Stokes solutions of unsteady separation induced by a vortex (comparison with theory and influence of a moving wall). 2001, Ph.D. thesis, Illinois Institute of Technology, Chicago, IL.
29. Tsui Y. Wang C. Calculation of laminar separated flow in symmetric two-dimensional diffusers. J. Fluids Eng. 1995, 117:612-616. 10.1115/1.2817311.
30. Kaiktsis L. Karniadakis G. Orszag S. Unsteadiness and convective instabilities in two-dimensional flow over a backward-facing step. J. Fluid Mech. 1996, 321:157-187. 10.1017/S0022112096007689.
31. Drazin P. Introduction to Hydrodynamic Stability 2002, (Cambridge University Press).
32. Blackburn H. Sherwin S. Instability modes and transition of pulsatile stenotic flow: Pulse-period dependence. J. Fluid Mech. 2007, 573:57-88. 10.1017/S0022112006003740.
33. Blackburn H. Sherwin S. Barkley D. Convective instability and transient growth in steady and pulsatile stenotic flows. J. Fluid Mech. 2008, 607:267-277. 10.1017/S0022112008001717.
34. Blackburn H. Barkley D. Sherwin S. Convective instability and transient growth in flow over a backward-facing step. J. Fluid Mech. 2008, 603:271-304. 10.1017/S0022112008001109.
35. Cassel K. Obabko A. Instabilities and vorticity shedding in wall-bounded flows. AIAA Paper 2004, 10.2514/6.2004-1122, and 2004-1122.
36. Chedron W. Durst F. Whitelaw J. Asymmetric flows and instabilities in symmetric ducts with sudden expansions. J. Fluid Mech. 1978, 84:13-31. 10.1017/S0022112078000026.
37. Ahmed S. Giddens D. Velocity measurements in steady flow through axisymmetric stenoses at moderate Reynolds numbers. J. Biomech. 1983, 16:505-516. 10.1016/0021-9290(83)90065-9.
38. Cassel K. Obabko A. A Rayleigh instability in a vortex-induced unsteady boundary layer. Phys. Scr. 2010, T142:014006. 10.1088/0031-8949/2010/T142/014006.
39. Pauley L. Moin P. Reynolds W. The structure of two-dimensional separation. J. Fluid Mech. 1990, 220:397-411. 10.1017/S0022112090003317.
40. Fearn R. Mullin T. Cliffe K. Nonlinear flow phenomena in a symmetric sudden expansion. J. Fluid Mech. 1990, 211:595-608. 10.1017/S0022112090001707.
41. Latornell D. Pollard A. Some observations on the evolution of shear layer instabilities in laminar flow through axisymmetric sudden expansions. Phys. Fluids 1986, 29:2828-2835. 10.1063/1.865481.
42. Deck S. Thorigny P. Unsteadiness of an axisymmetric separating-reattaching flow: Numerical investigation. Phys. Fluids 2007, 19:065103-1-065103-20. 10.1063/1.2734996.
43. Yang Z. Voke P. Large-eddy simulation of boundary-layer separation and transition at a change of surface curvature. J. Fluid Mech. 2001, 439:305-333. 10.1017/S0022112001004633.
44. Durst F. Pereira J. Tropea C. The plane symmetric sudden-expansion flow at low Reynolds numbers. J. Fluid Mech. 1993, 248:567-581. 10.1017/S0022112093000916.
45. Ahlborn B. Seto M. Noack B. On drag, Strouhal number and vortex-street structure. Fluid Dyn. Res. 2002, 30:379-399. 10.1016/S0169-5983(02)00062-X.