Mixing by time-dependent orbits in spatiotemporal chaotic advection

Journal of Fluids Engineering, Transactions of the ASME

Volumn 137, Issue 1, 2015, Pages

  Karami, Mohammad ^a   Shirani, Ebrahim ^b   Jarrahi, Mojtaba ^c   Peerhossaini, Hassan ^d  

^a ISFAHAN UNIVERSITY OF TECHNOLOGY   (Iran)

^b Foolad Institute of Technology   (Iran)

^c UNIVERSITÉ PARIS SACLAY   (France)

^d Bât Condorcet   (France)

Author keywords

Chaotic advection; Lyapunov exponent; Mass transfer enhancement; Pulsatile dean flow; Secondary flow structures; Vorticity vector

Indexed keywords

CHAOTIC ADVECTION; DEAN FLOWS; LYAPUNOV EXPONENT; MASS TRANSFER ENHANCEMENT; VORTICITY VECTORS;

SECONDARY FLOW;

EID: 84907670659     PISSN: 00982202     EISSN: 1528901X     Source Type: Journal    
DOI: 10.1115/1.4027588     Document Type: Article

References (32)

1. Dean, W. R., 1927, "Note on the Motion of Fluid in a Curved Pipe, " Philos. Mag., 4(20), pp. 208-223.
2. Mutabazi, I., Normand, C., Peerhossaini, H., and Wesfreid, J. E., 1989, "Oscillatory Modes Between Two Horizontal Corotating Cylinders With a Partially Filled Gap, " Phys. Rev. A, 39(2), pp. 763-771.
3. Le Guer, Y., and Peerhossaini, H., 1991, "Order Breaking in Dean Flow, " Phys. Fluids, 3(5), pp. 1029-1032.
4. Duchěne, C., Peerhossaini, H., and Michard, P. J., 1995, "On the Flow Velocity and Tracer Patterns in a Twisted Duct Flow, " Phys. Fluids, 7(6), pp. 1307-1317.
5. Lyne, W. H., 1971, "Unsteady Viscous Flow in a Curved Pipe, " J. Fluid Mech., 45(1), pp. 13-31.
6. Zalosh, R. G., and Nelson, W. G., 1973, "Pulsating Flow in a Curved Tube, " J. Fluid Mech., 59(4), pp. 693-705.
7. Bertelsen, A. F., 1975, "An Experimental Investigation of Low Reynolds Number Secondary Streaming Effects Associated With an Oscillating Viscous Flow in a Curved Pipe, " J. Fluid Mech., 70(3), pp. 519-527.
8. Sudo, K., Sumida, M., and Yamane, R., 1992, "Secondary Motion of Fully Developed Oscillatory Flow in a Curved Pipe, " J. Fluid Mech., 237, pp. 189-208.
9. Timité, B., Castelain, C., and Peerhossaini, H., 2010, "Pulsatile Viscous Flow in a Curved Pipe: Effects of Pulsation on the Development of Secondary Flow, " Int. J. Heat Fluid Flow, 31(5), pp. 879-896.
10. Achrya, N., Sen, M., and Chang, H. C., 1992, "Heat Transfer Enhancement in Coiled Tubes by Chaotic Mixing, " Int. J. Heat Mass Transfer, 35(10), pp. 2475-2489.
11. Achrya, N., Sen, M., and Chang, H. C., 1994, "Thermal Entrance Length and Nusselt Numbers in Coiled Tubes, " Int. J. Heat Mass Transfer, 37(2), pp. 336-340.
12. Peerhossaini, H., Castelain, C., and Le Guer, Y., 1993, "Heat Exchanger Design Based on Chaotic Advection, " Exp. Therm. Fluid Sci., 7(4), pp. 333-344.
13. Mokrani, A., Castelain, C., and Peerhossaini, H., 1997, "The Effects of Chaotic Advection on Heat Transfer, " Int. J. Heat Mass Transfer, 40(13), pp. 3089-3104.
14. Lasbet, Y., Auvity, B., Castelain, C., and Peerhossaini, H., 2006, "A Chaotic Heat Exchanger for PEMFC Cooling Applications, " J. Power Sources, 156(1), pp. 114-118.
15. Lemenand, T., and Peerhossaini, H., 2002, "A Thermal Model for Prediction of the Nusselt Number in a Pipe With Chaotic Flow, " Appl. Therm. Eng., 22(15), pp. 1717-1730.
16. Habchi, C., Lemenand, T., Della Valle, D., and Peerhossaini, H., 2010, "Liquid/Liquid Dispersion in a Chaotic Advection Flow, " Int. J. Multiphase Flow, 35(6), pp. 485-497.
17. Nguyen, N., 2008, Micromixers: Fundamentals, Design and Fabrication, William Andrew, New York, pp. 42-52.
18. Siginer, D. A., 1991, "Multiple Integral Constitutive Equations in Unsteady Motions and Rheometry, " ASME Appl. Mech. Rev., 44(11S), pp. 232-245.
19. Wang, G. R., 2003, "A Rapid Mixing Process in Continuous Operation Under Periodic Forcing, " Chem. Eng. Sci., 58(22), pp. 4953-4963.
20. Timité, B., Jarrahi, M., Castelain, C. and Peerhossaini, H., 2009, "Pulsating Flow for Mixing Intensification in a Twisted Curved Pipe, " ASME J. Fluids Eng., 131(12), p. 121104.
21. Jarrahi, M., Castelain, C., and Peerhossaini, H., 2011, "Secondary Flow Patterns and Mixing in Laminar Pulsating Flow Through a Curved Pipe, " Exp. Fluids, 50(6), pp. 1539-1558.
22. Timité, B., Castelain, C., and Peerhossaini, H., 2011, "Mass Transfer and Mixing by Pulsatile Three-Dimensional Chaotic Flow in Alternating Curved Pipes, " Int. J. Heat Mass Transfer, 54(17-18), pp. 3933-3950.
23. Ansari, M. A., and Kim, K. Y., 2009, "Parametric Study on Mixing of Two Fluids in a Three-Dimensional Serpentine Microchannel, " Chem. Eng. J., 146(3), pp. 439-448.
24. Yamagishi, A., Inaba, T., and Ymaguchi, Y., 2007, "Chaotic Analysis of Mixing Enhancement in Steady Laminar Flows Through Multiple Pipe Bends, " Int. J. Heat Mass Transfer, 50(7-8), pp. 1237-1248.
25. Jones, S. W., Thomas, O. M., and Aref, H., 1989, "Chaotic Advection by Laminar Flow in a Twisted Pipe, " J. Fluid Mech., 209, pp. 335-357.
26. FLUENT, Inc. Fluent 6.3, 2006, User's Guide.
27. Strasser, W., 2006, "CFD Investigation of Gear Pump Mixing Using Deforming/Agglomerating Mesh, " ASME J. Fluids Eng., 129, pp. 476-484.
28. Jarrahi, M., Castelain, C., and Peerhossaini, H., 2011, "Laminar Sinusoidal and Pulsatile Flows in a Curved Pipe, " J. Appl. Fluid Mech., 4(2SI), pp. 21-26.
29. Ottino, J. M., 1989, The Kinematic of Mixing, Cambridge University Press, Cambridge, UK, Ch. 8.
30. Mancho, A. M., Small, D., and Wiggins, S., 2006, "A Tutorial on Dynamical Systems Concepts Applied to Lagrangian Transport in Oceanic Flows Defined as Finite Time Data Sets: Theoretical and Computational Issues, " Phys. Rep., 437(3-4), pp. 55-124.
31. Castelain, C., Mokrani, A., Le Guer, Y., and Peerhossaini, H., 2001, "Experimental Study of Chaotic Advection Regime in a Twisted Duct Flow, " Eur. J. Mech., 20(2), pp. 205-232.
32. Mokrani, A., Castelain, C., and Peerhossaini, H., 1998, "A Quantitative Measure of the Chaotic Behavior in Conservative Systems: A Study of Transport Phenomena in Open Systems, " Revue Generale de Thermique, 37(6), pp. 459-474.