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Structural characteristics of transition to turbulence in microscale capillaries

Phys. Fluids 21, 034104 (2009); doi:10.1063/1.3085813

Published 17 March 2009

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V. K. Natrajan and K. T. Christensen
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
The maturation of flow in microscale capillaries (D=536  µm) from a laminar to a turbulent state is studied via extensive microscopic particle image velocimetry measurements spanning the Reynolds-number range of 1900<=Re<=4500. Some previous studies of transition to turbulence in microscale passages have observed transition at anomalously low Re, leading to the suggestion that flow at these scales is fundamentally different from that at the macroscale. One possible culprit for these reports of early transition could be significant surface roughness in the microchannels employed. As such, care is taken in the present experiments to select microscale capillaries with minimal inner surface roughness in order to remove the possibility that roughness could trigger early transition. Consistent with transitional wall-bounded flows at the macroscale, transitional capillary flow is found to contain patches of increasingly disordered motion with increasing Re bounded by laminar flow behavior. The intensity and frequency of occurrence of these disordered motions grow with Re, and quadrant analysis supports a gradual maturation of the instantaneous Reynolds-shear-stress-producing events as the flow transitions toward a fully turbulent state. Proper orthogonal decomposition of the transitional data sets indicates that large-scale structures play a vital role in the transport of both kinetic energy as well as Reynolds-shear stress and visualization of these large-scale motions reveals spatial signatures consistent with hairpin vortex packets. ©2009 American Institute of Physics
History: Received 9 September 2008; accepted 22 January 2009; published 17 March 2009
Permalink: http://link.aip.org/link/?PHFLE6/21/034104/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.60.Dx
    Flows in ducts and channels
  • 47.27.Cn
    Transition to turbulence
  • 47.80.Cb
    Velocity measurements in fluid dynamics
  • 47.32.-y
    Vortex dynamics; rotating fluids
  • YEAR: 2009

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ISSN:
1070-6631 (print)   1089-7666 (online)
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REFERENCES (56)

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  1. P. Gravesen, J. Branebjerg, and O. S. Jensen, “Microfluidics—A review,” J. Micromech. Microeng. 3, 168 (1993).
  2. D. B. Tuckerman and R. F. Pease, “High-performance heat sinking for VLSI,” IEEE Electron Device Lett. 2, 126 (1981).
  3. S. J. Haswell and V. Skelton, “Chemical and biochemical microreactors,” TrAC, Trends Anal. Chem. 19, 389 (2000).
  4. G. Mohiuddin Mala and D. Li, “Flow characteristics of water in microtubes,” Int. J. Heat Fluid Flow 20, 142 (1999).
  5. X. F. Peng and G. P. Peterson, “Convective heat transfer and flow friction for water flow in microchannel structures,” Int. J. Heat Mass Transfer 39, 2599 (1996).
  6. X. F. Peng, G. P. Peterson, and B. X. Wang, “Frictional flow characteristics of water flowing through rectangular microchannels,” Exp. Heat Transfer 7, 249 (1994).
  7. W. Qu, G. M. Mala, and D. Li, “Pressure driven water flows in trapezoidal silicon microchannels,” Int. J. Heat Fluid Flow 43, 353 (2000).
  8. J. Judy, D. Maynes, and B. W. Webbs, “Characterization of frictional pressure drop for liquid flows through microchannels,” Int. J. Heat Mass Transfer 45, 3477 (2002).
  9. H. Li and M. G. Olsen, “Aspect ratio effects in turbulent and transitional flow in rectangular microchannels as measured with microPIV,” J. Fluids Eng. 128, 305 (2006).
  10. W. Qu and I. Mudawar, “Experimental and numerical study of pressure drop and heat transfer in a single-phase micro-channel heat sink,” Int. J. Heat Mass Transfer 45, 2549 (2002).
  11. K. V. Sharp and R. J. Adrian, “Transition from laminar to turbulent flow in liquid filled microtubes,” Exp. Fluids 36, 741 (2004).
  12. B. X. Wang and X. F. Peng, “Experimental investigation on liquid forced-convection heat transfer through microchannels,” Int. J. Heat Mass Transfer 37, 73 (1994).
  13. T. M. Harms, M. J. Kazmierczak, and F. M. Gerner, “Developing convective heat transfer in deep rectangular microchannels,” Int. J. Heat Fluid Flow 20, 149 (1999).
  14. V. K. Natrajan and K. T. Christensen, “Microscopic particle image velocimetry measurements of transition to turbulence in microscale capillaries,” Exp. Fluids 43, 1 (2007).
  15. O. Reynolds, “An experimental investigation of circumstances which determine whether the motion of water shall be direct or continuous, and the law of resistance in parallel channels,” Philos. Trans. R. Soc. London 174, 935 (1883).
  16. A. G. Darbyshire and T. Mullin, “Transition to turbulence in a constant-mass-flux pipe flow,” J. Fluid Mech. 289, 83 (1995).
  17. I. J. Wygnanski and F. H. Champagne, “On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug,” J. Fluid Mech. 59, 281 (1973).
  18. I. J. Wygnanski, M. Sokolov, and D. Friedman, “On transition in a pipe. Part 2. The equilibrium puff,” J. Fluid Mech. 69, 283 (1975).
  19. R. J. Adrian, C. D. Meinhart, and C. D. Tomkins, “Vortex organization in the outer region of the turbulent boundary layer,” J. Fluid Mech. 422, 1 (2000).
  20. B. Ganapathisubramani, E. K. Longmire, and I. Marusic, “Characteristics of vortex packets in turbulent boundary layers,” J. Fluid Mech. 478, 35 (2003).
  21. C. R. Smith, “A synthesized model of near-wall behaviour in turbulent boundary layers,” in Proceedings of the Eighth Symposium on Turbulence, University of Missouri-Rolla, Rolla, Missouri, 1984, pp. 299–325.
  22. J. Zhou, R. J. Adrian, S. Balachandar, and T. M. Kendall, “Mechanisms for generating coherent packets of hairpin vortices in channel flow,” J. Fluid Mech. 387, 353 (1999).
  23. K. T. Christensen and R. J. Adrian, “Statistical evidence of hairpin vortex packets in wall turbulence,” J. Fluid Mech. 431, 433 (2001).
  24. I. Marusic, “On the role of large-scale structures in wall turbulence,” Phys. Fluids 13, 735 (2001).
  25. Z. C. Liu, R. J. Adrian, and T. J. Hanratty, “Large-scale modes of turbulent channel flow: transport and structure,” J. Fluid Mech. 448, 53 (2001).
  26. A. H. Haidari and C. R. Smith, “The generation and regeneration of single hairpin vortices,” J. Fluid Mech. 277, 135 (1994).
  27. T. Matsui, “Visualization of turbulent spots in the boundary layer along a flat plate in a water flow,” in Proceedings on Laminar-Turbulent Transition, Stuttgart, Germany (Springer, Berlin, 1980), pp. 288–296.
  28. R. Sankaran, M. Sokolov, and R. A. Antonia, “Substructures in a turbulent spot,” J. Fluid Mech. 197, 389 (1988).
  29. B. A. Singer, “Characteristics of a young turbulent spot,” Phys. Fluids 8, 509 (1996).
  30. B. A. Singer and R. D. Joslin, “Metamorphosis of a hairpin vortex into a young turbulent spot,” Phys. Fluids 6, 3724 (1994).
  31. M. Asai and M. Nishioka, “Boundary-layer transition triggered by hairpin eddies at subcritical Reynolds numbers,” J. Fluid Mech. 297, 101 (1995).
  32. A. Schröder and J. Kompenhans, “Investigation of a turbulent spot using multi-plane stereo particle image velocimetry,” Exp. Fluids 36, 82 (2004).
  33. C. D. Meinhart, S. T. Wereley, and J. G. Santiago, “PIV measurements of a microchannel flow,” Exp. Fluids 27, 414 (1999).
  34. J. G. Santiago, S. T. Wereley, C. D. Meinhart, D. J. Beebe, and R. J. Adrian, “A particle image velocimetry system for microfluidics,” Exp. Fluids 25, 316 (1998).
  35. H. Li, R. Ewoldt, and M. G. Olsen, “Turbulent and transitional velocity measurements in a rectangular microchannel using microscopic particle image velocimetry,” Exp. Therm. Fluid Sci. 29, 435 (2005).
  36. H. Li and M. G. Olsen, “Examination of large-scale structures in turbulent microchannel flow,” Exp. Fluids 40, 733 (2006).
  37. V. K. Natrajan, E. Yamaguchi, and K. T. Christensen, “Statistical and structural similarities between micro- and macro-scale wall turbulence,” Microfluid. Nanofluid. 3, 89 (2007).
  38. J. G. M. Eggels, F. Unger, M. H. Weiss, J. Westerweel, R. J. Adrian, R. Friedrich, and F. T. M. Nieuwstadt, “Fully developed turbulent pipe flow: A comparison between direct numerical simulation and experiment,” J. Fluid Mech. 268, 175 (1994).
  39. F. M. White, Fluid Mechanics (McGraw-Hill, New York, 1994).
  40. M. G. Olsen and R. J. Adrian, “Out-of-focus effects on particle image visibility and correlation in microscopic particle image velocimetry,” Exp. Fluids 29, S166 (2000).
  41. A. K. Prasad, R. J. Adrian, C. C. Landreth, and P. W. Offutt, “Effect of resolution on the speed and accuracy of particle image velocimetry interrogation,” Exp. Fluids 13, 105 (1992).
  42. S. J. Kline and S. K. Robinson, “Quasi-coherent structures in the turbulent boundary layer. Part 1: Status report on a community-wide summary of the data,” in Near-Wall Turbulence (Hemisphere, New York, 1989), pp. 218–247.
  43. R. J. Adrian, K. T. Christensen, and Z. C. Liu, “Analysis and interpretation of instantaneous turbulent velocity fields,” Exp. Fluids 29, 275 (2000).
  44. K. R. Sreenivasan, Turbulence Management and Relaminarisation (Springer-Verlag, Berlin, 1987), p. 1987.
  45. J. M. Wallace, H. Eckelmann, and R. S. Brodkey, “The wall region in turbulent shear flow,” J. Fluid Mech. 54, 39 (1972).
  46. S. S. Lu and W. W. Willmarth, “Measurements of the structure of Reynolds stress in a turbulent boundary layer,” J. Fluid Mech. 60, 481 (1973).
  47. J. L. Lumley, Atmospheric Turbulence and Wave Propogation (Nauka, Moscow, 1966), pp. 166–178.
  48. P. Holmes, J. L. Lumley, and G. Berkooz, Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge University Press, Cambridge, UK, 1998).
  49. P. Moin and R. D. Moser, “Characteristic-eddy decomposition of turbulence in a channel,” J. Fluid Mech. 200, 471 (1989).
  50. L. Sirovich, K. S. Ball, and L. R. Keefe, “Plane waves and structures in turbulent channel flow,” Phys. Fluids A 2, 2217 (1990).
  51. L. Sirovich, K. S. Ball, and R. A. Handler, “Propagating structures in wall-bounded turbulent flows,” Theor. Comput. Fluid Dyn. 2, 307 (1991).
  52. Z. C. Liu, R. J. Adrian, and T. J. Hanratty, “Reynolds number similarity of orthogonal decomposition of the outer layer of turbulent wall flow,” Phys. Fluids 6, 2815 (1994).
  53. K. T. Christensen, Y. Wu, R. J. Adrian, and W. Lai, “Statistical imprints of structure in wall turbulence,” AIAA Paper No. 2004-1116, 2004.
  54. B. Ganapathisubramani, N. Hutchins, W. T. Hambleton, E. K. Longmire, and I. Marusic, “Investigation of large-scale coherence in a turbulent boundary layer using two-point correlations,” J. Fluid Mech. 524, 57 (2005).
  55. K. T. Christensen, “Experimental investigation of acceleration and velocity fields in turbulent channel flow,” Ph.D. thesis, University of Illinois at Urbana-Champaign, 2001.
  56. N. Hutchins and I. Marusic, “Evidence of very long meandering features in the logarithmic region of turbulent boundary layers,” J. Fluid Mech. 579, 1 (2007).

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