Lagrangian Chaos and Mixing of Fluids

Japan Journal of Industrial and Applied Mathematics

Volumn 18, Issue 2, 2001, Pages 613-626

  Funakoshi, Mitsuaki ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Chaotic mixing; Lagrangian chaos; Mixing of fluids; Transport matrix

Indexed keywords

EID: 0345778114     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03168594     Document Type: Article

References (13)

1. H. Aref, Chaotic advection of fluid particles. Phil. Trans. Roy. Soc. Lond., A 333 (1990), 273-288.
2. T. Atobe and M. Funakoshi, Chaotic motion of fluid particles due to the alternate rotations of two eccentric cylinders. J. Phys. Soc. Japan, 63 (1994), 1738-1753.
3. K. Bajer and H.K. Moffatt, On a class of steady confined Stokes flows with chaotic stream-lines. J. Fluid Mech., 212 (1990), 337-363.
4. M. Funakoshi and T. Murayama, Lagrangian chaos in three-dimensional steady flow between two eccentric cylinders (in Japanese). Proceedings, 1998 Meeting of Japan Society of Fluid Dynamics, 1998, 387-388.
5. Y. Ichida and M. Funakoshi, Chaotic mixing under the flow between two eccentric cylinders (in Japanese). Res. Inst. Math. Sci., Kyoto Univ., Kokyuroku No.1029, 1998, 31-52.
6. K. Ishii and R. Iwatsu, Numerical simulation of the Lagrangian flow structure in a driven-cavity. Topological Fluid Mechanics (eds. H.K. Moffatt and A. Tsinobar), Cambridge Univ. Press, 1989, 54-63.
7. A. Kawakami and M. Funakoshi, Chaotic motion of fluid particles around a rotating elliptic vortex in a linear shear flow. Fluid Dyn. Res., 25 (1999), 167-193.
8. R. Mizuta and S. Yoden, Chaotic mixing and transport barriers in an idealized stratospheric polar vortex. Submitted to J. Atm. Sci.
9. T. Murayama, Lagrangian chaos in three-dimensional steady flow between two eccentric cylinders. Master Thesis, Dep. Appl. Math. Phys. Kyoto University, Feb. 1998.
10. F.J. Muzzio, P.D. Swanson and J.M. Ottino, The statistics of stretching and stirring in chaotic flows. Phys. Fluids, A 3 (1991), 822-834.
11. J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport. Cambridge Univ. Press, 1989.
12. J.M. Ottino, Mixing, chaotic advection, and turbulence. Annual Rev. Fluid Mech., 22 (1990), 207-253.
13. L.M. Polvani and J. Wisdom, Chaotic Lagrangian trajectories around an elliptical vortex patch embedded in a constant and uniform background shear flow. Phys. Fluids, A 2 (1990), 123-126.