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

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Wilson, M.C.T.; Gaskell, P.H.; Savage, M.D.;
(2005)
  • Publisher: American Institute of Physics
  • Subject:
    arxiv: Physics::Fluid Dynamics

The effects of localized two-dimensional disturbances on the structure of shear flows featuring a stagnation line are investigated. A simple superposition of a planar Couette flow and Moffatt's [J. Fluid Mech. 18, 1--18 (1964)] streamfunction for the decay of a disturba... View more
  • References (28)
    28 references, page 1 of 3

    1A. E. Perry and D. K. M. Tan, “Simple three-dimensional motions in coflowing jets and wakes,” J. Fluid Mech. 141, 197-231 (1984)

    2S. 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. 269, 199-246 (1994)

    3M. 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,” Euro. J. Appl. Math. 12, 395-411 (2001)

    4J. 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. 17(3), 189-212 (2004)

    5P. N. Shankar and M. D. Deshpande, “Fluid mechanics in the driven cavity,” Ann. Rev. Fluid Mech. 32, 93-136 (2000)

    6F. Gu¨rcan, 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. Instn Mech. Engrs Part C: J. Mech. Eng. Sci. 217, 353-364 (2003)

    7M. Tobak and D. J. Peake, “Topology of three-dimensional separated flows,” Ann. Rev. Fluid Mech. 14, 61-85 (1982)

    8A. E. Perry and M. S. Chong, “A description of eddying motions and flow patterns using critical-point concepts,” Ann. Rev. Fluid Mech. 19, 125-155 (1987)

    9P. G. Bakker, Bifurcations in flow patterns (Klu¨wer Academic, 1991).

    10M. Brøns and J.N. Hartnack, “Streamline topologies near simple degenerate critical points in two-dimensional flows away from boundaries,” Phys. Fluids 11(2), 314- 324 (1999)

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