Passive scalar decay in chaotic flows with boundaries

Fluid Dynamics Research

Volumn 44, Issue 2, 2012, Pages

  Zaggout, Fatma A ^a   Gilbert, Andrew D ^a  

^a UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

A-PLANE; CHAOTIC FLOWS; DECAY RATE; DIRICHLET; DIRICHLET BOUNDARY CONDITION; LONG-TIME DECAY; MOLECULAR DIFFUSIVITY; NEUMANN CONDITION; NO-SLIP BOUNDARY CONDITIONS; NO-SLIP CONDITION; ON FLOW; PASSIVE SCALARS; PLANE LAYERS; RANDOM FLOWS; SCALAR FIELDS; SLIP BOUNDARY CONDITIONS; SLIP FLOW; STAGNANT FLOW; SUBDOMAIN; THEORETICAL ARGUMENTS; TIME DEPENDENCE; TIME-PERIODIC FLOWS; TWO-DIMENSIONAL FLOW; VELOCITY FIELD;

DECAY (ORGANIC); HIGH ENERGY PHYSICS; INCOMPRESSIBLE FLOW; VELOCITY;

BOUNDARY CONDITIONS;

EID: 84858067831     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1088/0169-5983/44/2/025504     Document Type: Article

References (35)

1. Antonsen T M, Fan Z, Ott E and GarciaLopez E 1996 The role of chaotic orbits in the determination of power spectra of passive scalars Phys. Fluids 8 3094104 (Pubitemid 126616807)
2. Aref H 1984 Stirring by chaotic advection J. Fluid Mech. 143 121
3. Balmforth N J and Young W R 2003 Diffusion-limited scalar cascades J. Fluid Mech. 482 91100 (Pubitemid 36659076)
4. Boffetta G, De Lillo F and Mazzino A 2009 Peripheral mixing of passive scalar at small Reynolds number J. Fluid Mech. 624 1518
5. Burghelea T, Segre E, BarJoseph I, Groisman A and Steinberg V 2004 Chaotic flow and efficient mixing in a microchannel with a polymer solution Phys. Rev. E 69 066305
6. Burghelea T, Segre E and Steinberg V 2004 Mixing by polymers: experimental test of decay regime of mixing Phys. Rev. Lett. 92 164501
7. Camassa R, MartinsenBurrell N and McLaughlin R M 2007 Dynamics of probability density functions for decaying passive scalars in periodic velocity fields Phys. Fluids 19 117104
8. Cerbelli S, Adrover A and Giona M 2003 Enhanced diffusion regimes in bounded chaotic flows Phys. Lett. A 312 35562 (Pubitemid 40069401)
9. Chernykh A and Lebedev V 2008 Passive scalar structures in peripheral regions of random flows JETP Lett. 87 6825
10. Chertkov M and Lebedev V 2003 Decay of scalar turbulence revisited Phys. Rev. Lett. 90 034501
11. El Omari K and Le Guer Y 2010 Alternate rotating walls for thermal chaotic mixing Int. J. Heat Mass Trans. 53 12334
12. Fereday D R and Haynes P H 2004 Scalar decay in two-dimensional chaotic advection and Batchelor-regime turbulence Phys. Fluids 16 435970 (Pubitemid 41015823)
13. GarciaYbarra P L 2009 Near-wall turbulent transport of large-Schmidt-number passive scalars Phys. Rev. E 79 067302
14. Gilbert A D 2006 Advected fields in maps III: passive scalar decay in baker's maps Dyn. Syst. 21 2571 (Pubitemid 41804983)
15. Giona M, Adrover A, Cerbelli S and Vitacolonna V 2004 Spectral properties and transport mechanisms of partially chaotic bounded flows in the presence of diffusion Phys. Rev. Lett. 92 114101
16. Gouillart E, Dauchot O, Dubrulle B, Roux S and Thiffeault J-L 2008 Slow decay of concentration variance due to no-slip walls in chaotic mixing Phys. Rev. E 78 026211
17. Gouillart E, Kuncio N, Dauchot O, Dubrulle B, Roux S and Thiffeault J-L 2007 Walls inhibit chaotic mixing Phys. Rev. Lett. 99 114501
18. Gouillart E, Thiffeault J-L and Dauchot O 2010 Rotation shields chaotic mixing regions from no-slip walls Phys. Rev. Lett. 104 204502
19. Groisman A and Steinberg V 2001 Efficient mixing at low Reynolds numbers using polymer additives Nature 410 9058
20. Haynes P H and Vanneste J 2005 What controls the decay of passive scalars in smooth flows? Phys. Fluids 17 097103
21. Jun Y and Steinberg V 2010 Mixing of passive tracers in the decay Batchelor regime of a channel flow Phys. Fluids 22 123101
22. Lebedev V V and Turitsyn K S 2004 Passive scalar evolution in peripheral regions Phys. Rev. E 69 036301
23. Moffatt H K 1964 Viscous and resistive eddies near a sharp corner J. Fluid Mech. 18 118
24. Ottino J M 1989 The Kinematics of Mixing: Stretching, Chaos and Transport (Cambridge: Cambridge University Press)
25. Pierrehumbert R T 1994 Tracer microstructure in the large-eddy dominated regime Chaos Solitons Fractals 4 1091110
26. Pierrehumbert R T and Yang H 1993 Global chaotic mixing on isentropic surfaces J. Atmos. Sci. 50 246280 (Pubitemid 24396402)
27. Plunian F, Marty P and Alemany A 1999 Kinematic dynamo action in a network of screw motions; application to the core of a fast breeder reactor J. Fluid Mech. 382 13754
28. Salman H and Haynes P H 2007 A numerical study of passive scalar evolution in peripheral regions Phys. Fluids 19 0671011
29. Schekochihin A A, Haynes P H and Cowley S C 2004 Diffusion of passive scalar in a finite-scale random flow Phys. Rev. E 70 046304
30. Shankar P N 2007 Slow Viscous Flows (London: Imperial College Press)
31. Simmonet C and Groisman A 2005 Chaotic mixing in a steady flow in a microchannel Phys. Rev. Lett. 94 134501
32. Skvortsov A and Yee E 2011 Scaling laws of peripheral mixing of passive scalar in a wall-shear layer Phys. Rev. E 83 036303
33. Toussaint V, Carriere P, Scott J and Gence J-N 2000 Spectral decay of a passive scalar in chaotic mixing Phys. Fluids 12 50011
34. Turner M R, Thuburn J and Gilbert A D 2009 The influence of periodic islands in the flow on a scalar tracer in the presence of a steady source Phys. Fluids 21 067103
35. Zaggout F 2012 Passive scalar mixing in chaotic flows with boundaries PhD Thesis University of Exeter, Exeter, UK