Chaotic mixing efficiency in different geometries of Hele-Shaw cells

International Journal of Heat and Mass Transfer

Volumn 53, Issue 4, 2010, Pages 684-693

  Beuf, Aurélien ^a   Gence, Jean Noël ^a   Carrière, Philippe ^a   Raynal, Florence ^a  

^a ECOLE CENTRALE DE LYON   (France)

Author keywords

Chaotic advection; Hele Shaw flows; Mixing

Indexed keywords

ASPECT RATIO; CELLS; CYTOLOGY; EFFICIENCY; LYAPUNOV METHODS; MIXING; VELOCITY;

CHAOTIC ADVECTION; DIFFERENT GEOMETRY; DIFFERENT SHAPES; HELE-SHAW CELLS; HELE-SHAW FLOW; LYAPUNOV EXPONENT; MIXING EFFICIENCY; RECTANGULAR GEOMETRY;

GEOMETRY;

EID: 70649095254     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2009.10.024     Document Type: Article

References (23)

1. Stone H.A., Stroock A.D., and Ajdari A. Engineering flows in small devices: microfluidics toward lab-on-a-chip. Annu. Rev. Fluid Mech. 36 (2004) 381-411
2. Aref H. Stirring by chaotic advection. J. Fluid Mech. 143 (1984) 1-21
3. Wiggins S. Global Bifurcations and Chaos: Analytical Methods (1988), Springer, New York
4. Ottino J.M. The Kinematics of Mixing: Stretching, Chaos and Transport (1989), Cambridge University Press, New York
5. Toussaint V., Carrière P., and Raynal F. A numerical Eulerian approach to mixing by chaotic advection. Phys. Fluids 7 11 (1995) 2587-2600
6. Stroock A.D., Dertinger S.K.W., Ajdari A., Mezic I., Stone H.A., and Whitesides G.M. Chaotic mixer for microchannels. Science 295 5555 (2002) 647-651
7. Raynal F., Plaza F., Beuf A., Carrière Ph., Souteyrand E., Martin J.-R., Cloarec J.-P., and Cabrera M. Study of a chaotic mixing system for DNA chip hybridization chambers. Phys. Fluids 16 9 (2004) L63-L66
8. Raynal F., Beuf A., Plaza F., Scott J., Carriere P., Cabrera M., Cloarec J.-P., and Souteyrand E. Towards better DNA chip hybridization using chaotic advection. Phys. Fluids 19 1 (2007) 017112
9. McQuain M.K., Seale K., Peek J., Fisher T.S., Levy S., Stremler M.A., and Haselton F. Chaotic mixer improves microarray hybridization. Anal. Biochem. 325 (2004) 215-226
10. Stremler M.A., Haselton F.R., and Aref H. Designing for chaos: applications of chaotic advection at the microscale. Philos. Trans. Roy. Soc. Lond. A 362 (2004) 1019-1036
11. Stremler M.A., and Cola B.A. A maximum entropy approach to optimal mixing in a pulsed source-sink flow. Phys. Fluids 18 1 (2006) 011701
12. Cola B.A., Schaffer D.K., Fisher T.S., and Stremler M.A. A pulsed source-sink fluid mixing device. J. Microelectromech. Syst. 15 1 (2006) 259-266
13. Hertzsch J.-M., Sturman R., and Wiggins S. DNA microarrays: design principles for maximizing chaotic, ergodic mixing. Small 3 2 (2007) 202-218
14. Sturman R., Ottino J.M., and Wiggins S. The Mathematical Foundations of Mixing (2006), Cambridge University Press, Cambridge
15. Jones S.W., and Aref H. Chaotic advection in pulsed source-sink systems. Phys. Fluids 31 3 (1988) 469-485
16. Milne-Thomson L.M. Theoretical Aerodynamics (1958), Dover, New York
17. Van Dyke M. An Album of Fluid Motion (1982), Parabolic Press, Stanford, CA
18. Taneda S. Visualization of separating stokes flows. J. Phys. Soc. Jpn. 46 (1979) 1935-1942
19. Carrière Ph. Lyapunov spectrum determination from the FEM simulation of a chaotic advecting flow. Int. J. Numer. Meth. Fluids 50 5 (2006) 555-577
20. Phelps J.H., and Tucker III C.L. Lagrangian particle calculations of distributive mixing: limitations and applications. Chem. Eng. Sci. 61 20 (2006) 6826-6836
21. Lichtenberg A.J., and Lieberman M.A. Regular and Chaotic Dynamics. second ed. (1992), Springer, New York
22. L.M. Milne-Thomson, Theoretical Hydrodynamics, fourth ed., Macmillan, 1968.
23. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1968), Dover, New York