A bound on mixing efficiency for the advection-diffusion equation

Journal of Fluid Mechanics

Volumn 521, Issue , 2004, Pages 105-114

  Thiffeault, Jean Luc ^a   Doering, Charles R ^b   Gibbon, John D ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; MIXING; MOLECULAR DYNAMICS; VELOCITY; VELOCITY MEASUREMENT;

ADVECTING FLOW; MIXING EFFICIENCY; MOLECULAR DIFFUSIVITY; STIRRING VELOCITY;

DIFFUSION;

ADVECTION-DIFFUSION EQUATION; MIXING;

EID: 12144273844     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004001739     Document Type: Article

References (17)

1. Antonsen, JR., T. M., Fan, Z., Ott, E. & Garcia-Lopez, E. 1996 The role of chaotic orbits in the determination of power spectra. Phys. Fluids 8, 3094-3104.
2. Aref, H. 1984 Stirring by chaotic advection. J. Fluid Mech. 143 1-21.
3. Balmforth, N. J. & Young, W. R. 2003 Diffusion-limited scalar cascades. J. Fluid Mech. 482, 91-100.
4. Batchelor, G. K. 1959 Small-scale variation of convected quantities like temperature in turbulent fluid. J. Fluid Mech. 5, 113-133.
5. Childress, S. & Gilbert, A. D. 1995 Stretch, Twist, Fold: The Fast Dynamo. Springer.
6. Constantin, P., Kiselev, A., Oberman, A. & Ryzhik, L. 2000 Bulk burning rate in passive-reactive diffusion. Arch. Rat. Mech. Anal. 154 53-91.
7. Danckwerts, P. V. 1952 The definition and measurement of some characteristics of mixtures. Appl. Sci. Res. A 3, 279-296.
8. Doering, C. R., Eckhart, B. & Schumacher, J. 2003 Energy dissipation in body-forced plane shear flow. J. Fluid Mech. 494, 275-284.
9. Doering, C. R. & Foias, C. 2002 Energy dissipation in body-forced turbulence. J. Fluid Mech. 467, 289-306.
10. Edwards, A. C., Sherman, W. D. & Breidenthal,, R. E. 1985 Turbulent mixing in tubes with transverse injection. AIChE J. 31, 516.
11. Isichenko, M. B. 1992 Percolation, statistical topography, and transport in random-media. Rev. Mod. Phys. 64, 961-1043.
12. Ottino, J. M. 1989 The Kinematics of Mixing: Stretching, Chaos, and Transport. Cambridge University Press.
13. Pierrehumbert, R. T. 1994 Tracer microstructure in the large-eddy dominated regime. Chaos Soitons Fractals 4, 1091-1110.
14. Pope, S. B. 2000 Turbulent Flows. Cambridge University Press.
15. Rehab, H., Antonia, R. A., Djenidi, L. & Mi, J. 2000 Characteristics of fluorescein dye and temperature fluctuations in a turbulent near-wake. Exps. Fluids 28, 462-470.
16. Schumacher, J., Sreenivasan, K. R. & Yeung, P. K. 2003 Schmidt number dependence of derivative moments for quasi-static straining motions. J. Fluid Mech. 479, 221-230.
17. Young, W. R. 1999 Stirring and Mixing: Proc. 1999 Summer Program in Geophysical Fluid Dynamics (ed. J.-L. Thiffeault & C. Pasquero). Woods Hole Oceanographic Institution, Woods Hole, MA, USA. http://gfd.whoi.edu/proceedings/1999/PDFvol1999.html