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Pulsatile flow through constricted tubes: an experimental investigation using photochromic tracer methods

Published online by Cambridge University Press:  26 April 2006

Matadial Ojha ,
Richard S. C. Cobbold ,
K. Wayne Johnston  and
Richard L. Hummel
Matadial Ojha
Affiliation:
Institute of Biomedical Engineering, University of Toronto, Toronto M5S 1A4, Canada
Richard S. C. Cobbold
Affiliation:
Institute of Biomedical Engineering, University of Toronto, Toronto M5S 1A4, Canada
K. Wayne Johnston
Affiliation:
Institute of Biomedical Engineering, University of Toronto, Toronto M5S 1A4, Canada
Richard L. Hummel
Affiliation:
Department of Chemical Engineering, University of Toronto, Toronto M5S 1A4, Canada
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Abstract

A photochromic tracer method has been used to record pulsatile flow velocity profiles simultaneously at three axial locations along a flow channel. Two major advantages of this multiple-trace method are that it enables velocity data to be acquired in an efficient non-invasive manner and that it provides a detailed description of the spatial relationship of the flow field. The latter is found to be particularly useful in the investigation of transitional type flows; for example, in describing coherent flow structures. Studies of the flow patterns in tubes with mild to moderate degrees of vessel constriction were performed using a 2.9 Hz sinusoidal flow superimposed on a steady flow (frequency parameter of 7.5; mean and modulation Reynolds numbers of 575 and 360, respectively). With mild constrictions (< 50% area reduction), isolated regions of vortical and helical structures were observed primarily during the deceleration phase of the flow cycle and in the vicinity of the reattachment point. As expected, these effects were accentuated when the constriction was asymmetric. For moderate constrictions (50%–80%), transition to turbulence was triggered just before peak flow through the breakdown of waves and streamwise vortices that were shed in the high-shear layer. During this vortex generation phase of the flow cycle, the wall shear stress fluctuated quite intensely, especially in the vicinity of the reattachment point, and its instantaneous value increased by at least a factor of eight. Such detailed descriptions of the transition to turbulence and of the spatial and temporal variation of the wall shear stress, particularly near the reattachment point, have not been previously reported for pulsatile flow through constricted tubes. The observed wall shear stress variations support a proposal by Mao & Hanratty (1986) of an interaction of the imposed flow oscillation with the turbulent fluctuations within the viscous sublayer.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 203 , June 1989 , pp. 173 - 197
Copyright
© 1989 Cambridge University Press

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References

Ahmed, S. & Giddens, D. P., 1984 Pulsatile poststenotic flow studies with laser Doppler anemometry. J. Biomech. 17, 695–705.Google Scholar
Barnes, R. W., Bone, G. E., Reinerson, J. E., Skymaker, F. E. & Hokenson, D. E., 1976 Non-invasive ultrasound carotid arteriography: Prospective validation by constrast arteriography. Surgery 80, 328–335.Google Scholar
Charmet, J. C., Ferminger, M. & Jennfer, P., 1984 Visualization d'ecoulement et mesure de gradient de vitesse par des traceurs photochromes. C. R. Acad. Sci. Paris 298, 103–106.Google Scholar
Cloitre, M. & Chauveau, J., 1983 Metal dithizonate for flash photolysis applications in hydrodynamics. Optics Comm. 47, 42–46.Google Scholar
D'Arco, A., Charmet, J. C. & Cloitre, M., 1982 Nouvelle technique de marquage d'ecoulment par utilisation de molecules photochromes. Rev. Phys. Appl. Paris 17, 89–93.Google Scholar
Davis, J., Bottcher, J., Johnson, G. & Marschall, E., 1985 Photochromic flow visualization in single-phase and two-phase flows. In Intl. Symp. on Physical and Numerical Flow Visualization, Albuquerque, New Mexico (ed. M. L. Billet, J. H. Kim & T. R. Heidrick), pp. 75–79, ASME.
Dunn, S. G. & Smith, J. W., 1972 Some statistical properties of turbulent momentum transfer in rough pipes. Can. J. Chem. Engng 50, 561–568.Google Scholar
Fogwell, T. W. & Hope, C. B., 1988 Photochromic dye tracing in water flows. (Submitted for publication).
Gaver, D. P., III & Grotberg, J. B., 1986 An experimental investigation of oscillatory flow in a tapered channel, J. Fluid. Mech. 172, 47–61.Google Scholar
Hanle, D. D., Harrison, E. C., Yoganathan, A. P. & Corcoran, W. H., 1987 Turbulence downstream from the Ionescu-Shiley bioprosthesis in steady and pulsatile flow. Med. Biol. Engng & Comput. 25, 645–649.Google Scholar
Hino, M., Sawamoto, M. & Tokasu, S., 1976 Experiments on transition to turbulence in an oscillatory pipe flow. J. Fluid Mech. 75, 193–207.Google Scholar
Hussain, A. K. M. F.: 1986 Coherent flow structures and turbulence. J. Fluid Mech. 173, 303–356.Google Scholar
Iribarne, A., Frantisak, F., Hummel, R. L. & Smith, J. W., 1969 Transition and turbulent flow parameters in a smooth pipe by direct flow visualization. Chem. Engng Prog. (Symp. Ser.) 65, 60–70.Google Scholar
Iribarne, A., Frantisak, F., Hummel, R. L. & Smith, J. W., 1972 An experimental study of instabilities and other flow properties of a laminar pipe jet. AIChE J. 18, 689–698.Google Scholar
Johnston, K. W., Baker, W. H., Burnham, S. J., Hayes, A. C., Kupper, C. A. & Poole, M. A., 1986 Quantitative analysis of continuous-wave Doppler spectral broadening for the diagnosis of carotid disease: results of a multicenter study. J. Vasc. Surg. 4, 493–504.Google Scholar
Kondratas, H. M. & Hummel, R. L., 1980 Application of the photochromic tracer technique for flow visualization near the wall region. In Flow visualization III, Michigan (ed. W. Merzkirch), pp. 387–391, Hemisphere.
Ku, D. N. & Giddens, D. P., 1987 Laser Doppler anemomentry measurements of pulsatile flow in a model carotid bifurcation. J. Biomech. 20, 407–431.Google Scholar
Lieber, B.: 1985 Order and random structures in pulsatile flow through constricted tubes. Ph.D. thesis, Georgia Institute of Technology, Atlanta.
Mao, Z.-X. & Hanratty, T. J. 1986 Studies of the wall shear stress in turbulent pulsatile pipe flow. J. Fluid Mech. 170, 545–564.Google Scholar
Ojha, M.: 1987 An experimental investigation of pulsatile flow through modelled arterial stenoses. Ph.D. thesis, University of Toronto.
Ojha, M., Hummel, R. L., Cobbold, R. S. C. & Johnston, K. W. 1988 Development and evaluation of a high resolution photochromic dye method for pulsatile flow studies. J. Phys. E: Sci. Instrum. 21, 998–1004.Google Scholar
Poots, J. K., Cobbold, R. S. C., Johnston, K. W., Appugliese, R., Kassam, M., Zeuch, P. E. & Hummel, R. L., 1986a A new pulsatile flow visualization method using a photochromic dye with application to ultrasound. Ann. Biomed. Engng 14, 203–218.Google Scholar
Poots, J. K., Johnston, K. W., Cobbold, R. S. C. & Kassam, M. 1986a Comparison of continuous wave Doppler ultrasound spectra with the spectra derived from a flow visualization model. Ultrasound Med. Biol. 12, 125–133.Google Scholar
Popovich, A. T. & Hummel, R. L., 1967 A new method for non-disturbing turbulent flow measurements close to a wall. Chem. Engng Soc. 22, 21–25.Google Scholar
Ramaprian, B. R. & Tu, S. W., 1980 An experimental study of oscillatory pipe flow at transitional Reynolds numbers. J. Fluid Mech. 100, 513–544.Google Scholar
Ramaprian, B. R. & Tu, S. W., 1983 Fully developed periodic turbulent pipe flow. J. Fluid Mech. 137, 59–81.Google Scholar
Seeley, L. E., Hummel, R. L. & Smith, J. W., 1975 Experimental velocity profiles in laminar flow around a sphere at intermediate Reynolds numbers. J. Fluid Mech. 68, 591–608.Google Scholar
Shemer, L., Wygnanski, I. & Kit, E., 1985 Pulsating flow in a pipe. J. Fluid Mech. 153, 313–337.Google Scholar
Smith, J. W. & Hummel, R., 1973 Studies of fluid flow by photography using a non-disturbing light sensitive indicator. J. Soc. Mot. Pic. Tel. Engng 83, 278–281.Google Scholar
Stettler, J. C. & Hussain, A. K. M. F. 1986 On transition of pulsatile pipe fow. J. Fluid Mech. 170, 169–197.Google Scholar
Talmon, A. M., Kunen, J. M. G. & Ooms, G. 1986 Simultaneous flow visulaization and Reynolds stress measurements in a turbulent boundary layer. J. Fluid Mech. 163, 459–478.Google Scholar
Thomas, L. C.: 1980 The surface rejuvenation model of wall turbulence: Inner laws for U+ and T+. Intl J. Heat Mass Transfer 23, 1099–1104.Google Scholar
Wallace, J. M.: 1986 Methods for measuring vorticity in turbulent flows. Exp. Fluids. 4, 61–71.Google Scholar
Womersley, J. R.: 1955 Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J. Physiol. 127, 553–563.Google Scholar
Yoganathan, A. P., Corcoran, W. H. & Harrison, E. C., 1979 In vivo velocity measurements in the vicinity of aortic prostheses. J. Biomech. 12, 135–152.Google Scholar