Nested separatrices in simple shear flows: The effect of localized disturbances on stagnation lines

Physics of Fluids

Volumn 17, Issue 9, 2005, Pages 1-11

  Wilson, M T ^a   Gaskell, P H ^a   Savage, M D ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; FINITE ELEMENT METHOD; NUMERICAL METHODS; REYNOLDS NUMBER; VELOCITY;

COUETTE FLOW; FLOW STRUCTURE; MOFFATT STREAMFUNCTION;

SHEAR FLOW;

SHEAR FLOW; STAGNATION FLOW; STRUCTURAL ANALYSIS; TWO-DIMENSIONAL FLOW;

EID: 27144470689     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2042488     Document Type: Article

References (29)

1. A. E. Perry and D. K. M. Tan, "Simple three-dimensional motions in coflowing jets and wakes," J. Fluid Mech. JFLSA70022-1120 141, 197 (1984).
2. S. C. Jana, G. Metcalfe, and J. M. Ottino, "Experimental and computational studies of mixing in complex Stokes flows: The vortex mixing flow and multicellular cavity flows," J. Fluid Mech. JFLSA70022-1120 269, 199 (1994).
3. M. C. T. Wilson, P. H. Gaskell, and M. D. Savage, "Flow in a double-film-fed fluid bead between contra-rotating rolls. Part 1: Equilibrium flow structure," Eur. J. Appl. Math. ZZZZZZ0956-7925 12, 395 (2001).
4. J. L. Summers, H. M. Thompson, and P. H. Gaskell, "Flow structure and transfer jets in a contra-rotating rigid-roll coating system," Theor. Comput. Fluid Dyn. TCFDEP0935-4964 17, 189 (2004).
5. P. N. Shankar and M. D. Deshpande, "Fluid mechanics in the driven cavity," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fluid.32.1.93 32, 93 (2000).
6. F. Gürcan, P. H. Gaskell, M. D. Savage, and M. C. T. Wilson, "Eddy genesis and transformation of Stokes flow in a double-lid-driven cavity," Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci. PMCSED0954-4062 217, 353 (2003).
7. M. Tobak and D. J. Peake, "Topology of three-dimensional separated flows," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fl.14.010182.000425 14, 61 (1982).
8. A. E. Perry and M. S. Chong, "A description of eddying motions and flow patterns using critical-point concepts," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.19.1.125 19, 125 (1987).
9. P. G. Bakker, Bifurcations in Flow Patterns (Klüwer Academic, Dordrecht, 1991).
10. M. Brøns and J. N. Hartnack, "Streamline topologies near simple degenerate critical points in two-dimensional flows away from boundaries," Phys. FluidsPHFLE61070-663110.1063/1.869881 11, 314 (1999).
11. F. P. Bretherton, "Slow viscous motion round a cylinder in a simple shear," J. Fluid Mech. JFLSA70022-1120 12, 591 (1962).
12. R. G. Cox, I. Y. Z. Zia, and S. G. Mason, "Particle motions in sheared suspensions. XXV. Streamlines around cylinders and spheres," J. Colloid Interface Sci. JCISA50021-9797 27, 7 (1968).
13. C. R. Robertson and A. Acrivos, "Low Reynolds number shear flow past a rotating circular cylinder. Part 1. Momentum transfer," J. Fluid Mech. JFLSA70022-1120 40, 685 (1970).
14. C. A. Kossack and A. Acrivos, "Steady simple shear flow past a circular cylinder at moderate Reynolds numbers: A numerical solution," J. Fluid Mech. JFLSA70022-1120 66, 353 (1974).
15. D. J. Jeffrey and J. D. Sherwood, "Streamline patterns and eddies in low-Reynolds-number flow," J. Fluid Mech.JFLSA70022-1120 96, 315 (1980).
16. E. J. Ding and C. K. Aidun, "The dynamics and scaling law for particles suspended in shear flow with inertia," J. Fluid Mech. JFLSA70022-112010.1017/S0022112000001932 423, 317 (2000).
17. C. M. Zettner and M. Yoda, "The circular cylinder in simple shear at moderate Reynolds numbers: An experimental study," Exp. Fluids EXFLDU0723-486410.1007/s003480000206 30, 346 (2001).
18. B. Martin, "Numerical studies of steady-state extrusion processes," Ph.D. thesis, Cambridge University (1969).
19. P. H. Gaskell, M. D. Savage, and M. Wilson, "Stokes flow in a half-filled annulus between rotating coaxial cylinders," J. Fluid Mech. JFLSA70022-112010.1017/S0022112097005028 337, 263 (1997).
20. R. Kidambi and P. K. Newton, "Steamline topologies for integrable vortex motion on a sphere," Physica D PDNPDT0167-2789 140, 95 (2000).
21. H. K. Moffatt, "Viscous and resistive eddies near a sharp corner," J. Fluid Mech. JFLSA70022-1120 18, 1 (1964).
22. M. Hellou and M. Coutanceau, "Cellular Stokes flow induced by rotation of a cylinder in a closed channel," J. Fluid Mech. JFLSA70022-1120 236, 557 (1992).
23. M. Hellou, "Sensitivity of cellular Stokes flow to geometry," Eur. J. Phys. EJPHD40143-080710.1088/0143-0807/22/1/307 22, 67 (2001).
24. W. W. Hackborn, "Asymmetric Stokes flow between parallel planes due to a rotlet," J. Fluid Mech. JFLSA70022-1120 218, 531 (1990).
25. P. Carbonaro and E. B. Hansen, "Transient Stokes flow in a channel driven by moving sleeves," J. Appl. Mech. JAMCAV0021-8936 57, 1061 (1990).
26. Liquid Film Coating, edited by S. F. Kistler and P. M. Schweizer (Chapman & Hall, London, 1997).
27. T. C. Papanastasiou, N. Malamataris, and K. Ellwood, "A new outflow boundary condition," Int. J. Numer. Methods Fluids IJNFDW0271-209110.1002/fld.1650140506 14, 587 (1992).
28. S. F. Kistler and L. E. Scriven, "Coating flows," in Computational Analysis of Polymer Processing, edited by J. R. A. Pearson and S. M. Richardson (Applied Science, London, 1983).
29. If no films coat the cylinder surfaces, all the fluid must turn back on itself