Chaotic advection and heat transfer enhancement in Stokes flows

International Journal of Heat and Fluid Flow

Volumn 24, Issue 3, 2003, Pages 310-321

  Lefevre A ^a   Mota, J P B ^b   Rodrigo, A J S ^b   Saatdjian, E ^a  

^a CNRS   (France)

^b DEPARTAMENTO DE QUÍMICA   (Portugal)

Author keywords

3 D periodic flow; Chaotic advection; Mixing; Viscous fluids

Indexed keywords

BOUNDARY LAYER FLOW; HEAT TRANSFER; LAMINAR FLOW; MIXING; RATE CONSTANTS; TURBULENCE;

STOKES FLOW;

VISCOUS FLOW;

ADVECTION; CHAOS; FLUID FLOW; HEAT TRANSFER; STOKES FLOW; VISCOSITY;

EID: 0038579596     PISSN: 0142727X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0142-727X(03)00022-5     Document Type: Article

References (46)

1. Acharya N. Sen M. Chang H.C. Heat transfer enhancement in coiled tubes by chaotic mixing Int. J. Heat Mass Transfer 35 10 1992 2475 2489.
2. Aref H. Stirring by chaotic advection J. Fluid Mech. 143 1984 1 21
3. Aref H. Balachandar S. Chaotic advection in a Stokes flow Phys. Fluids 29 1986 3515 3521
4. Ballal B.Y. Rivlin R.S. Flow of a Newtonian fluid between eccentric rotating cylinders: inertial effects Arch. Rat. Mech. Anal. 62 1976 237 294
5. Chaiken J. Chu C.K. Tabor M. Tan Q.M. Lagrangian turbulence and spatial complexity in a Stokes flow Phys. Fluids 30 1987 687 694
6. Chaiken J. Chevray R. Tabor M. Tan Q.M. Experimental study of lagrangian turbulence in a Stokes flow Proc. R. Soc. London A 408 1986 165
7. Chien W.L. Rising H. Ottino J.M. Laminar mixing and chaotic mixing in several cavity flows J. Fluid Mech. 170 1986 355 377
8. Chirikov B.V. A universal instability of many dimensional oscillator systems Phys. Rep. 52 1979 263
9. Dean W.R. Note on the motion of fluid in a curved pipe Phil. Mag. 4 1927 208 223
10. Dean W.R. The streamline motion of fluid in a curved pipe Phil. Mag. 5 1928 673 695
11. Di Prima R.C. Stuart J.T. Flow between eccentric rotating cylinders J. Lub. Tech. Trans. ASME 94 1972 266
12. Ekeland, I., 1984. Le calcul, l'imprévu, Editions du Seuil, Paris.
13. Franjione J.G. Leong C.W. Ottino J.M. Symmetries within chaos, a route to effective mixing Phys. Fluids A 1 11 1989
14. Ghosh S. Chang H.C. Sen M. Transport enhancement by steady and time-periodic parallel flow with slender recirculation J. Fluid Mech. 238 1992 119 154
15. Hénon M. Sur la topologie des lignes de courant dans un cas particulier C.R.A.S. Paris 262 1966 312 314
16. Jana S.C. Metcalfe G. Ottino J.M. Experimental and computational studies of mixing in complex vortical flows: the vortex mixing flow and multicellular cavity flows J. Fluid Mech. 269 1994 199 246
17. Jeffery G.B. The rotation of two cylinders on a viscous flow Proc. R. Soc. London Ser. A 101 1922 169
18. Jones S.W. Thomas O.M. Aref H. Chaotic advection by laminar flow in a twisted pipe Bull. Am. Phys. Soc. 32 1987 2026
19. Jones S.W. Thomas O.M. Aref H. Chaotic advection by laminar flow in a twisted pipe J. Fluid Mech. 209 1990 335 357
20. Kaper, T.J., Wiggins, S., 1993. An analytical study of transport in Stokes flows exhibiting large-scale chaos in the eccentric journal bearing 253, 211
21. Khakhar D.V. Franjione J.G. Ottino J.M. A case study of chaotic mixing in deterministic flows: the partitioned pipe mixer Chem. Eng. Sci. 42 12 1987 2908 2926
22. Kruijt P.G.M. Galaktionov O.S. Anderson P.D. Peters G.W.M. Meijer H.E.H. Analyzing mixing in periodic flows by distribution matrices: mapping method AIChE J. 47 5 2001 1005 1015
23. Kumar S. Homsy G.M. Chaotic advection in creeping flow of viscoelastic fluids between slowly modulated eccentric cylinders Phys. Fluids 8 1996 7
24. Kusch, H.A., 1991. Experiments on continuous chaotic mixing of viscous fluids, Ph.D. thesis, University of Massachusetts, Amherst
25. Kusch H.A. Ottino J.M. Experiments on mixing in continuous chaotic flows J. Fluid Mech. 236 1992 319
26. Le Guer Y. Peerhossaini H. Order breaking in Dean flow Phys. Fluids A 3 1991 1029 1032
27. Lefèvre A. Leprévost J.C. Rodrigo A. Mota J.P.B. Saatdjian E., Chaotic advection in a 3-D Stokes flow. AIChE J, in press
28. Leprévost, J.C. Saatdjian E. Chaotic heat transfer in a periodic two-dimensional flow Phys. Fluids 10 1998 2102
29. Leprévost J.C. 2000. Mélange laminaire dans les écoulements bidimensionnels périodiques et tridimensionnels ouverts, Thése dedoctorat, Institut National Polytechnique de Lorraine, Vandoeuvre, France
30. Lorenz E.N. Deterministic nonperiodic flow J. Atmos. Sci. 20 1963 130 141
31. Müller W. 1942. Über die Drehung Zwei der Zylinder in einer zähen Flüssigkeit und die Theorie der Kräfte am Rotations-Viskosimetermit exzentrischen Zylindern, Ann. Phys. 41, 335.
32. Niederkorn T.C. Ottino J.M. Mixing of a visco-plastic fluid in a time-periodic flow J. Fluid Mech. 256 1993 243 268
33. Ottino J.M. The kinematics of mixing: stretching, chaos and transport 1989 Cambridge Univ. Press Cambridge
34. Ottino J.M. Mixing, chaotic advection and turbulence Ann. Rev. Fluid Mech. 22 1990 207 253
35. Peerhossaini H. Le Guer Y. Chaotic motion in the Dean instability flow--a heat exchanger design Bull. Am. Phys. Soc. 35 1990 2229
36. Peerhossaini H. Castelain C. Le Guer Y. Heat exchanger design based on chaotic advection Expt. Therm. Fluid Sci. 7 1993 333 344
37. Peixoto M.M. Structural stability of two-dimensional manifolds Topology 2 1962 101 120
38. Poincaré H., 1893. Les méthodes nouvelles de la mécanique céleste. Gauthier-Villars, Paris.
39. Reynolds O. On the theory of lubrication and its application to M. Beauchamp Tower's experiments Phil. Trans. R. Soc. London Ser. A 177 1886 157
40. Rodrigo, A.J., Mota, J.P.B., Saatdjian, E., Lefèvre, A., Onvre, A., On the optimization of mixing protocol in a certain class of 3-D Stokes flows. Phys. Fluids, in press
41. Rom-Kedar V. Leonard A. Wiggins S. An analytical study of transport, mixing and chaos in an unsteady vortical flow J. Fluid Mech. 214 1990 347 394
42. Saatdjian E. Midoux N. André J.C. On the solution of Stokes equations between confocal ellipses Phys. Fluids 6 1994 3833
43. Saatdjian E. Chassaing M.I. Midoux N. André J.C. Sur le chaos lagrangien dans une cuve elliptique J. Phys. III 5 1995 175 196
44. Saatdjian E. Midoux N. Chassaing M.I. Leprévost J.C. André J.C. 1996. Chaotic mixing and heat transfer between confocal ellipses Phys. Fluids 8 677
45. Swanson P.D. Ottino J.M. A comparative computational and experimental study of chaotic mixing in viscous fluids J. Fluid Mech. 213 1990 227 249
46. Wannier G.H. A contribution to the hydrodynamics of lubrication Quart. Appl. Math. VIII 1950 1 32