Laser-Doppler Measurements of Velocities Just Downstream of a Collapsible Tube During Flow-Induced Oscillations

[+] Author and Article Information
C. D. Bertram, G. Diaz de Tuesta, A. H. Nugent

Graduate School of Biomedical Engineering, University of New South Wales, Sydney, Australia 2052

J Biomech Eng 123(5), 493-499 (May 16, 2001) (7 pages) doi:10.1115/1.1388294 History: Received March 07, 2000; Revised May 16, 2001
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.


Conrad,  W. A., 1969, “Pressure-Flow Relationships in Collapsible Tubes,” IEEE Trans. Biomed. Eng., 16, pp. 284–295.
Bertram,  C. D., and Pedley,  T. J., 1982, “A Mathematical Model of Unsteady Collapsible Tube Behavior,” J. Biomech., 15, pp. 39–50.
Fodil,  R., Ribreau,  C., Louis,  B., Lofaso,  F., and Isabey,  D., 1997, “Interaction Between Steady Flow and Individualised Compliant Segments: Application to Upper Airways,” Med. Biol. Eng. Comput., 35, pp. 638–648.
Cancelli,  C., and Pedley,  T. J., 1985, “A Separated-Flow Model for Collapsible-Tube Oscillations,” J. Fluid Mech., 157, pp. 375–404.
Jensen,  O. E., 1992, “Chaotic Oscillations in a Simple Collapsible-Tube Model,” ASME J. Biomech. Eng., 114, pp. 55–59.
Walsh,  C., 1995, “Flutter in One-Dimensional Collapsible Tubes,” J. Fluids Struct., 9, pp. 393–408.
Matsuzaki, Y., and Seike, K., 1996, “Numerical Analysis of Flow in a Collapsible Vessel Based on Unsteady and Quasi-Steady Flow Theories,” Computational Biomechanics, K. Hayashi and H. Ishikawa, eds., Springer-Verlag, Tokyo, pp. 185–198.
Hayashi,  S., Hayase,  T., and Kawamura,  H., 1998, “Numerical Analysis for Stability and Self-Excited Oscillation in Collapsible Tube Flow,” ASME J. Biomech. Eng., 120, 468–475.
Grotberg,  J. B., and Gavriely,  N., 1989, “Flutter in Collapsible Tubes: A Theoretical Model of Wheezes,” J. Appl. Physiol., 66, pp. 2262–2273.
Luo,  X.-Y., and Pedley,  T. J., 1998, “The Effects of Wall Inertia on Flow in a Two-Dimensional Collapsible Channel,” J. Fluid Mech., 363, pp. 253–280.
Heil,  M., 1997, “Stokes Flow in Collapsible Tubes: Computation and Experiment,” J. Fluid Mech., 353, pp. 285–312.
Ikeda,  T., and Matsuzaki,  Y., 1999, “A One-Dimensional Unsteady Separable and Reattachable Flow Model for Collapsible Tube-Flow Analysis,” ASME J. Biomech. Eng., 121, pp. 153–159.
Pedley,  T. J., and Stephanoff,  K. D., 1985, “Flow Along a Channel With a Time-Dependent Indentation in One Wall: The Generation of Vorticity Waves,” J. Fluid Mech., 160, pp. 337–367.
Matsuzaki,  Y., Ikeda,  T., Matsumoto,  T., and Kitagawa,  T., 1998, “Experiments on Steady and Oscillatory Flows at Moderate Reynolds Numbers in a Quasi-Two-Dimensional Channel With a Throat,” ASME J. Biomech. Eng., 120, pp. 594–601.
Flaherty,  J. E., Keller,  J. B., and Rubinow,  S. I., 1972, “Post Buckling Behavior of Elastic Tubes and Rings With Opposite Sides in Contact,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math., 23, pp. 446–455.
Bertram,  C. D., and Godbole,  S. A., 1997, “LDA Measurements of Velocities in a Simulated Collapsed Tube,” ASME J. Biomech. Eng., 119, pp. 357–363.
Bertram,  C. D., Muller,  M., Ramus,  F., and Nugent,  A. H., 2001, “Measurements of Steady Turbulent Flow Through a Rigid Simulated Collapsed Tube,” Med. Biol. Eng. Computing, 39, pp. 422–427.
Liepsch,  D., and Moravec,  S., 1984, “Pulsatile Flow of Non-Newtonian Fluid in Distensible Models of Human Arteries,” Biorheology, 21, pp. 571–586.
Liepsch,  D., Moravec,  S., and Baumgart,  R., 1992, “Some Flow Visualization and Laser-Doppler-Velocity Measurements in a True-to-Scale Elastic Model of a Human Aortic Arch — A New Model Technique,” Biorheology, 29, pp. 563–580.
Ohba, K., Sakurai, A., and Oka, J., 1989, “Self-Excited Oscillation of Flow in Collapsible Tube. IV (Laser-Doppler Measurement of Local Flow Field),” Technology Reports of Kansai University, No. 31, pp. 1–11.
Bertram,  C. D., 1987, “The Effects of Wall Thickness, Axial Strain and End Proximity on the Pressure-Area Relation of Collapsible Tubes,” J. Biomech., 20, pp. 863–876.
Bertram,  C. D., 1986, “An Adjustable Hydrostatic-Head Source Using Compressed Air,” J. Phys. E, 19, pp. 201–202.
Bertram,  C. D., and Godbole,  S. A., 1995, “Area and Pressure Profiles for Collapsible Tube Oscillations of Three Types,” J. Fluids Struct., 9, pp. 257–277.
Tennekes, H., and Lumley, J. L., 1972, A First Course in Turbulence, MIT Press, Cambridge, MA.
Moore, J. E., Jr., Stergiopulos, N., Golay, X., Ku, D. N., and Meister, J.-J., 1995, “Flow Measurements in Collapsed Stenotic Arterial Models,” Proc. ASME Bioengineering Conference, ASME BED-Vol. 29, R. M. Hochmuth et al., eds., pp. 229–230.
Bertram, C. D., and Godbole, S. A., 1995, “LDA Measurements of Velocities in a Simulated Collapsed Tube,” Proc. ASME Bioengineering Conference, ASME BED-Vol. 29, R. M. Hochmuth et al., eds., pp. 231–232.
Benmbarek, M., Thiriet, M., Naili, S., and Ribreau, C., 1998, “A Three-Dimensional Numerical Model of a Critical Flow in a Collapsed Tube,” Abstr. 3rd World Congress of Biomechanics, Y. Matsuzaki et al., eds., Sapporo, Japan, 2–8 Aug. 1998, p. 37.
Benmbarek, M., 1997, “Ecoulement Laminaire Permanent Dans un Modèle de Veine,” Thèse de Doctorat, Université de Paris 12 Val-de-Marne, Créteil, France.
Bertram,  C. D., and Pedley,  T. J., 1983, “Steady and Unsteady Separation in an Approximately Two-Dimensional Indented Channel,” J. Fluid Mech., 130, pp. 315–345.


Grahic Jump Location
Cross section of the downstream end of the pressure chamber, showing the laser probe with crossed beams intersecting in the flow lumen just downstream of the everted clamped end of the silicone rubber tube. The laser beams pass through the transparent octagon.
Grahic Jump Location
An example of particle velocities and simultaneous pressure samples recorded at one location, together with the times of pressure threshold detection (full-height vertical dotted lines intersecting the pressure trace), before ensemble-averaging. The threshold was detected in the analog trace of which this is an irregularly sampled digital representation. One of the cycles is shown divided into the 16 equal time bins (short dotted lines).
Grahic Jump Location
First experimental series: u(y, z) at the time bins 16t/T =2, 4, 8, 12, 14, 16 through the ensemble-averaged cycle. The measured grid was half as dense in y and z as the interpolated grid shown, which passes through all measured points.
Grahic Jump Location
(a) The (u, v) vector profiles on the diameter corresponding to the major axis of the collapsed tube. All 16 time bins are shown, with time through the cycle increasing upward. The (equal) scale of both ordinate and abscissa is m/s; the separation of the origins of adjacent vectors is Δy=0.5 mm. (b) The corresponding (u, w) vector profiles along 0z, the minor axis of the collapsed tube.
Grahic Jump Location
Second experimental series: u(y, z) at 16t/T=2, 4, 8, 12, 14, 16 as taken from the experiments in which u(t) and w(t) were measured, with one interpolated point between each pair of measurements.
Grahic Jump Location
(a) The (u, v) vector profiles along 0y, i.e., along the major axis of the tube collapse cross section. The (equal) scale of both ordinate and abscissa is m/s; the separation of the origins of adjacent vectors is Δy=0.75 mm. (b) The corresponding (u, w) vector profiles along 0z, the minor axis of the collapsed tube. Note scale change from panel (a).
Grahic Jump Location
Secondary flow (v, w) vectors at 16t/T=2, 4, 8, 12, 14, 16 from the second-series experiments. The vectors are shown as matchsticks, with the head as the point of the more usual arrow, and the tail showing the location of measurement. Position in the (y, z) plane is normalized by tube diameter.
Grahic Jump Location
The overlaid-cycles u component data for one location from the second-series experiments. This location (x=3.55, y =−2.25, z=0.75 mm) gave rise also to the data shown in Fig. 2. The absence of data at u∼0 is inherent to laser-Doppler anemometry.
Grahic Jump Location
The power spectral density of the interpolated data for both u (solid line) and v (dotted line), from the first-series location x=2.65, y=−1.50, z=4.47 mm. The added straight line has slope −5/3.



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In