Physics of Fluids
   
 
 
 
Previous Article
Viscous nonlinear theory of Richtmyer–Meshkov instability
We propose a quantitative prediction of the effect of viscosity on the weakly nonlinear impulsive Richtmyer–Meshkov instability between two fluids of arbitrary density and viscosity. This theory ...
Next Article
Unsteady flow of thin liquid film on a disk under nonuniform rotation
Development of thin liquid film under nonuniform rotation has been studied numerically by using finite difference technique under the assumption of planar interface. For impulsive rotation of the disk...

Peristaltically driven channel flows with applications toward micromixing

Phys. Fluids 13, 1837 (2001); doi:10.1063/1.1377616

Issue Date: July 2001

You are not logged in to this journal. Log in

Kiril P. Selverov and H. A. Stone
Division of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138
Flows driven by a transverse, small amplitude traveling wave propagating along the boundary of a closed rectangular container are examined. High-frequency motions are the primary focus of interest, although low-frequency results are discussed also. Using asymptotic analysis appropriate for high frequencies, the steady, time-independent (streaming) flow is computed analytically and compared with results of the exact calculation. The boundary-layer structure is delineated and average Eulerian and Lagrangian flow characteristics are compared. Experiments confirming the major qualitative high-frequency findings are reported in an Appendix. The results could be useful for modeling peristaltically operated microelectromechanical systems devices where fluid motion needs to be produced without internal moving mechanical components. ©2001 American Institute of Physics.
History: Received 19 October 1999; accepted 7 August 2000
Permalink: http://link.aip.org/link/?PHFLE6/13/1837/1
BUY THIS ARTICLE   (US$28)
Download PDF (416 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 47.60.+i
    Fluid dynamics Flows in ducts, channels, nozzles, and conduits (see also 83.50.Ha—in rheology)
  • YEAR: 2001

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
1070-6631 (print)   1089-7666 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (24)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. Microelectromechanical Systems (MEMS)—1998, edited by L. Lin, F. K. Forster, N. R. Aluru, and X. Zhang (ASME, New York, 1998), DSC-Vol. 66.
  2. S. Miyazaki, T. Kawai, and M. Araragi, "A piezoelectric pump driven by a flexural progressive wave," Proceedings of the IEEE Micro Electro Mechanical Systems (IEEE, New York, 1991), 283–288.
  3. R. M. Moroney, R. M. White, and R. T. Howe, "Ultrasonically induced microtransport," IEEE Transactions (IEEE, New York, 1991).
  4. J. Evans, D. Liepmann, and A. P. Pisano, "Planar laminar mixer," in Proceedings IEEE. The Tenth Annual International Workshop on Micro Electro Mechanical Systems (IEEE, New York, 1997), pp. 96–101.
  5. A. H. Shapiro, M. Y. Jaffrin, and S. L. Weinberg, "Peristaltic pumping with long wavelengths at low Reynolds numbers," J. Fluid Mech. 37, 799 (1969).
  6. K. P. Selverov and H. A. Stone, "Peristaltically driven flows for micromixers," in Ref. 1, p. 85.
  7. M. Hanin, "The flow through a channel due to transversely oscillating walls," Isr. J. Technol. 6, 67 (1968).
  8. T. F. Zien and S. Ostrach, "A long wave approximation to peristaltic motion," J. Fluid Mech. 3, 63 (1970).
  9. C. Barton and S. Raynor, "Peristaltic flow in tubes," Bull. Math. Biophys. 30, 663 (1968).
  10. J. C. Burns and T. Parkes, "Peristaltic motion," J. Fluid Mech. 29, 731 (1967).
  11. T. C. Fung and C. S. Yih, "Peristaltic transport," Trans. ASME, J. Appl. Mech. 35, 669 (1968).
  12. F. C. P. Yin and Y. C. Fung, "Comparison of theory and experiment in peristaltic transport," J. Fluid Mech. 47, 93 (1971).
  13. N. Riley, "Acoustic streaming," in Encyclopedia of Acoustics, edited by M. J. Crocker (Wiley, New York, 1997), pp. 321–327.
  14. N. Riley, "Oscillatory viscous flows. Review and extension," J. Inst. Math. Appl. 3, 119 (1967).
  15. W. L. M. Nyborg, "Acoustic streaming," in Physical Acoustics IIB, edited by W. Mason (Academic, New York, 1965).
  16. M. S. Longuet-Higgins, "Mass transport in water waves," Philos. Trans. R. Soc. London 345, 535 (1953).
  17. C. C. Mei, Applied Dynamics of Ocean Surface Waves (Wiley, New York, 1983).
  18. S. L. Weinberg, E. C. Eckstein, and A. H. Shapiro, "An experimental study of peristaltic pumping," J. Fluid Mech. 49, 461 (1971).
  19. M. Y. Jaffrin and A. H. Shapiro, "Peristaltic pumping," Annu. Rev. Fluid Mech. 3, 13 (1971).
  20. A. H. Shapiro and M. Y. Jaffrin, "Reflux in peristaltic pumping: is it determined by the Eulerian or Lagrangian mean velocity?" Trans. ASME 38, 1060 (1971).
  21. S. Takabatake and K. Ayukawa, "Numerical study of two-dimensional peristaltic flows," J. Fluid Mech. 122, 439 (1982).
  22. M. Yi, H. Bau, and H. Hu, "Peristaltically induced motion in a closed cavity with two vibrating walls," Phys. Fluids (to be published).
  23. L. G. Leal, Laminar Flow and Convective Transport Processes: Scaling Principles and Asymptotic Analysis (Butterworth–Heinemann, London, 1992).
  24. M. Van Dyke, Perturbation Methods in Fluid Mechanics (Parabolic, Stanford, 1975).

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.