A mixer design for the pigtail braid

Fluid Dynamics Research

Volumn 40, Issue 1, 2008, Pages 34-44

  Binder, B J ^a   Cox, S M ^b  

^a UNIVERSITY OF ADELAIDE   (Australia)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Braid; Chaotic advection; Fluid mixing; Stokes flow

Indexed keywords

ADVECTION; MIXING; VISCOUS FLOW;

CHAOTIC ADVECTION; FLUID MIXING; STOKES FLOW;

MIXERS (MACHINERY);

ADVECTION; MIXERS (MACHINERY); MIXING; VISCOUS FLOW;

EID: 36148955837     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fluiddyn.2006.09.001     Document Type: Article

References (14)

1. Aref H. Stirring by chaotic advection. J. Fluid Mech. 143 (1984) 1-21
2. Aref H. The development of chaotic advection. Phys. Fluids 14 (2002) 1315-1325
3. Bestvina M., and Handel M. Train-tracks for surface homeomorphisms. Topology 34 (1995) 109-140
4. Boyland P.L., Aref H., and Stremler M.A. Topological fluid mechanics of stirring. J. Fluid Mech. 40 (2000) 277-304
5. Clifford M.J., and Cox S.M. Smart baffle placement for chaotic mixing. Nonlinear Dyn. 43 (2006) 117-126
6. D'Alessandro D., Dahleh M., and Mezić I. Control of mixing in fluid flow: a maximum entropy approach. IEEE Trans. Autom. Control 44 (1999) 1852-1863
7. Finn M.D., and Cox S.M. Stokes flow in a mixer with changing geometry. J. Eng. Math. 41 (2001) 75-99
8. Finn M.D., Cox S.M., and Byrne H.M. Topological chaos in inviscid and viscous mixers. J. Fluid Mech. 493 (2003) 345-361
9. Finn, M.D., Thiffeault, J.-L., Gouillart, E., 2006. Topological chaos in spatially periodic mixers. Physica D 221, 92-100.
10. Gouillart E., Thiffeault J.-L., and Finn M.D. Topological mixing with ghost rods. Phys. Rev. E 73 (2006) 036311
11. Krasnopolskaya T.S., Meleshko V.V., Peters G.W.M., and Meijer H.E.H. Mixing in Stokes flow in an annular wedge cavity. Euro. J. Mech. B/Fluids 18 (1999) 793-822
12. Lamb H. Hydrodynamics. sixth ed (1932), Cambridge University Press, Cambridge
13. Mackay R.S. Complicated dynamics from simple topological hypotheses. Philos. Trans. R. Soc. London 359 (2001) 1479-1496
14. Thiffeault, J.-L., Finn, M.D., 2006. Topology, braids, and mixing in fluids. Proc. R. Soc London A, to appear (arXiv:nlin.CD/0603003).