Chaotic advection in creeping flow of viscoelastic fluids between slowly modulated eccentric cylinders

Physics of Fluids

Volumn 8, Issue 7, 1996, Pages 1774-1787

  Kumar, Satish ^a   Homsy, G M ^a  

^a Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS; CREEP; CYLINDERS; VISCOELASTIC FLUIDS;

EID: 0029673603     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868960     Document Type: Article

References (19)

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10. 2(1 - S). The equations resulting from such an expansion can then be obtained from the ones given here simply by setting S = 0.
11. The coordinate transformation used by Ballal and Rivlin® makes use of a different sign convention than the transformation used in this work. Equation (33) gives their result in terms of the sign convention used here.
12. R. I. Tanner, "Plane creeping flows of incompressible second-order fluids," Phys. Fluids 9, 1246 (1996).
13. A. N. Beris, R. C. Armstrong, and R. A. Brown, "Perturbation theory for viscoelastic fluids between eccentric rotating cylinders," J. Non-Newtonian Fluid Mech. 13, 109 (1983).
14. These expressions are available from the authors upon request.
15. Of course, the correction fields for S = 0 are identical to the correction fields of the more general perturbation expansion involving We and S,
16. S. Kumar, Ph.D. thesis, Stanford University, in preparation.
17. T. J. Kaper, "Part I: On the structure of separatrix-swept regions in slowly modulated Hamiltonian systems; Part II; On the quantification of mixing in chaotic Stokes' flows; the eccentric journal bearing," Ph.D. thesis, California Institute of Technology, 1992.
18. J. M. Sanz-Serna and M. P. Calvo, Numerical Hamiltonian Problems (Chapman and Hall, London, 1994).
19. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics, 2nd ed. (Springer-Verlag, New York, 1992).