Microscopic steady streaming eddies created around short cylinders in a channel: Flow visualization and Stokes layer scaling

Physics of Fluids

Volumn 17, Issue 2, 2005, Pages 1-7

  Lutz, Barry R ^a   Chen, Jian ^a   Schwartz, Daniel T ^a  

^a University of Washington   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; CHANNEL FLOW; FLOW VISUALIZATION; FLUIDICS; MICROSCOPIC EXAMINATION; OSCILLATIONS;

FLUID OSCILLATIONS; MICROFLUIDIC SYSTEMS; MICROSCOPIC STEADY STREAMING EDDIES; STOKES LAYER SCALING;

STEADY FLOW;

CHANNEL FLOW; EDDY; FLOW VISUALIZATION; STOKES FLOW;

EID: 24044536586     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1824137     Document Type: Article

References (37)

1. J. P. Brody, P. Yager, R. E. Goldstein, and R. H. Austin,"Biotechnology at low Reynolds numbers," Biophys. J. 71, 3430 (1996). BIOJAU 0006-3495
2. H. A. Stone and S. Kim, "Microfluidics: Basic issues, applications, and challenges," AIChE J. 47, 1250 (2001). AICEAC 0001-1541 10.1002/ aic.690470602
3. D. J. Beebe, G. A. Mensing, and G. M. Walker, "Physics and applications of microfluidics in biology," Annu. Rev. Biomed. Eng. 4, 261 (2002). ARBEF7 1523-9829 10.1146/annurev.bioeng.4.112601.125916
4. J. B. Knight, A. Vishwanath, J. P. Brody, and R. H. Austin, "Hydrodynamic focusing on a silicon chip: Mixing nanoliters in microseconds," Phys. Rev. Lett. 80, 3863 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.3863
5. L. Pollack, M. W. Tate, N. C. Darnton, J. B. Knight, S. M. Gruner, W. A. Eaton, and R. H. Austin, "Compactness of the denatured state of a fast-folding protein measured by submillisecond small-angle x-ray scattering," Proc. Natl. Acad. Sci. U.S.A. 96, 10115 (1999). PNASA6 0027-8424 10.1073/pnas.96.18.10115
6. A. E. Kamholz, E. A. Schilling, and P. Yager, "Optical measurement of transverse molecular diffusion in a microchannel," Biophys. J. 80, 1967 (2001). BIOJAU 0006-3495
7. S. Takayama, J. C. McDonald, E. Ostuni, M. N. Liang, P. J. A. Kenis, R. F. Ismagilov, and G. M. Whitesides, "Patterning cells and their environments using multiple laminar fluid flows in capillary networks," Proc. Natl. Acad. Sci. U.S.A. 96, 5545 (1999). PNASA6 0027-8424 10.1073/pnas.96.10.5545
8. P. J. A. Kenis, R. F. Ismagilov, and G. M. Whitesides, "Microfabrication inside capillaries using multiphase laminar flow patterning," Science 285, 83 (1999). SCIEAS 0036-8075 10.1126/ science.285.5424.83
9. P. J. A. Kenis, R. F. Ismagilov, S. Takayama, G. M. Whitesides, S. L. Li, and H. S. White, "Fabrication inside microchannels using fluid flow," Acc. Chem. Res. 33, 841 (2000). ACHRE4 0001-4842 10.1021/ ar000062u
10. B. H. Weigl and P. Yager, "Microfluidics - Microfluidic diffusion-based separation and detection," Science 283, 346 (1999). SCIEAS 0036-8075 10.1126/science.283.5400.346
11. W. L. M. Nyborg, in Physical Acoustics: Principles and Method, edited by W. P. Mason (Academic, New York, 1965), Vol. 2, Part B, pp. 265.
12. W. L. Nyborg, in Nonlinear Acoustics, edited by M. F. Hamilton and D. T. Blackstock (Academic, San Diego, CA, 1998), pp. 207.
13. J. A. Rooney, in Ultrasonics, edited by P. D. Edmonds (Academic, New York, 1981), Vol. 19, pp. 299.
14. N. Riley, "Acoustic streaming," Theor. Comput. Fluid Dyn. 10, 349 (1998). TCFDEP 0935-4964 10.1007/s001620050068
15. N. Riley, "Steady streaming," Annu. Rev. Fluid Mech. 33, 43 (2001). ARVFA3 0066-4189 10.1146/annurev.fluid.33.1.43
16. The term acoustic streaming has been used historically to describe a steady flow generated by both the conservative and nonconservative effect of fluid oscillation, but it implies fluid compression that is not required for the conservative effect considered here. The term steady streaming is more appropriate for describing streaming generated by both mechanisms. An excellent perspective is given by Riley in Ref.
17. K. D. Frampton, S. E. Martin, and K. Minor, "The scaling of acoustic streaming for application in micro-fluidic devices," Appl. Acoust. 64, 681 (2003). AACOBL 0003-682X
18. J. C. Rife, M. I. Bell, J. S. Horwitz, M. N. Kabler, R. C. Y. Auyeung, and W. J. Kim, "Miniature valveless ultrasonic pumps and mixers," Sens. Actuators, A 86, 135 (2000). SAAPEB 0924-4247 10.1016/S0924-4247(00)00433-7
19. N. T. Nguyen, A. H. Meng, J. Black, and R. M. White, "Integrated flow sensor for in situ measurement and control of acoustic streaming in flexural plate wave micropumps," Sens. Actuators, A 79, 115 (2000). SAAPEB 0924-4247 10.1016/S0924-4247(99)00279-4
20. X. Zhu and E. S. Kim, "Microfluidic motion generation with acoustic waves," Sens. Actuators, A 66, 355 (1998). SAAPEB 0924-4247 10.1016/ S0924-4247(97)01712-3
21. Z. Yang, S. Matsumoto, H. Goto, M. Matsumoto, and R. Maeda, "Ultrasonic micromixer for microfluidic systems," Sens. Actuators, A 93, 266 (2001). SAAPEB 0924-4247
22. M. Bengtsson and T. Laurell, "Ultrasonic agitation in microchannels," Anal. Bioanal. Chem. 378, 1716 (2004)
23. R. H. Liu, J. N. Yang, M. Z. Pindera, M. Athavale, and P. Grodzinski, "Bubble-induced acoustic micromixing," Lab Chip 2, 151 (2002). LCAHAM 1473-0197 10.1039/b201952c
24. P. Marmottant and S. Hilgenfeldt, "Controlled vesicle deformation and lysis by single oscillating bubbles," Nature (London) 423, 153 (2003). NATUAS 0028-0836 10.1038/nature01613
25. B. R. Lutz, J. Chen, and D. T. Schwartz, "Microfluidics without microfabrication," Proc. Natl. Acad. Sci. U.S.A. 100, 4395 (2003). PNASA6 0027-8424 10.1073/pnas.0831077100
26. V. O'Brien, "Pulsatile fully developed flow in rectangular channels," J. Franklin Inst. 300, 225 (1975). JFINAB 0016-0032 10.1016/0016-0032(75)90106-4
27. A. Yakhot, M. Arad, and G. Ben-Dor, "Numerical investigation of a laminar pulsating flow in a rectangular duct," Int. J. Numer. Methods Fluids 29, 935 (1999). IJNFDW 0271-2091 10.1002/ (SICI)1097-0363(19990430)29:8<935::AID-FLD823>3.0.CO;2-C
28. J. T. Stuart, "Double boundary layers in oscillatory viscous flows," J. Fluid Mech. 24, 673 (1966). JFLSA7 0022-1120
29. N. Riley, "Oscillatory viscous flows, review and extension," J. Inst. Math. Appl. 3, 419 (1967). JMTAA8 0020-2932
30. J. Holtsmark, I. Johnsen, T. Sikkeland, and S. Skavlem, "Boundary layer flow near a cylindrical obstacle in an oscillating, incompressible fluid," J. Acoust. Soc. Am. 26, 26 (1954). JASMAN 0001-4966
31. W. P. Raney, J. C. Corelli, and P. J. Westervelt, "Acoustical streaming in the vicinity of a cylinder," J. Acoust. Soc. Am. 26, 1006 (1954). JASMAN 0001-4966
32. S. Skavlem and S. Tjotta, "Steady rotational flow of an incompressible, viscous fluid enclosed between two coaxial cylinders," J. Acoust. Soc. Am. 27, 26 (1955). JASMAN 0001-4966
33. A. Bertelsen, A. Svardal, and S. Tjotta, "Nonlinear streaming effects associated with oscillating cylinders," J. Fluid Mech. 59, 493 (1973). JFLSA7 0022-1120
34. J. A. Bowman and D. T. Schwartz, "High Peclet number mass transfer in the acoustic streaming flow between two concentric cylinders," Int. J. Heat Mass Transfer 41, 1065 (1998). IJHMAK 0017-9310 10.1016/ S0017-9310(97)00176-2
35. M. Van Dyke, An Album of Fluid Motion (Parabolic, Stanford, CA, 1982).
36. T. Nishimura and S. Matsune, "Mass transfer enhancement in a sinusoidal wavy channel for pulsatile flow," Heat Mass Transfer 32, 65 (1996). HMTRF8 0947-7411 10.1007/s002310050093
37. T. Nishimura, Y. N. Bian, Y. Matsumoto, and K. Kunitsugu, "Fluid flow and mass transfer characteristics in a sinusoidal wavy-walled tube at moderate Reynolds numbers for steady flow," Heat Mass Transfer 39, 239 (2003). HMTRF8 0947-7411