Skip to main content
SpringerLink
Log in

A two-dimensional model of pulsating flow in the basilar artery

  • Original Papers
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Abstract

The flow in the basilar artery is modelled by a pulsating flow of a viscous fluid in a plane straight semi-infinite channel with rigid walls. To model the merging flow from the two vertebral arteries, the prescribed initial velocity profile exhibits two separate maximum values. Numerical results are presented for the downstream velocity, the wall shear and the time-dependent inlet length. Finally, the biomechanical implications of the results are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. Badr, S. C. R. Dennis, S. Bates, and F. T. Smith,Numerical and asymptotic solutions for merging flow through a channel with an upstream splitter plate. J. Fluid Mech.156, 63–81 (1985).

    Google Scholar 

  2. B. K. Bharadvaj, R. F. Mabon, and D. P. Giddens,Steady flow in a model of the human carotid bifurcation. Part I-Flow visualisation. J. Biomechanics15, 349–362 (1982).

    Google Scholar 

  3. S. Glagov, C. K. Zarins, D. P. Giddens, and D. N. Ku,Mechanical factors in the pathogenesis, localization and evolution of atherosclerotic plaques, In: Camilleri, J. P., Berry, C. L., Fiessinger, J. N. and Bariéty, J. (eds.),Diseases of the Arterial Wall. Springer-Verlag, London 1989.

    Google Scholar 

  4. B. Hillen, H. W. Hoogstraten, and L. Post,A mathematical model of the flow in the circle of Willis. J. Biomechanics19, 187–194 (1986).

    Google Scholar 

  5. J. K. B. Krijger, B. Hillen, and H. W. Hoogstraten,Mathematical models of the flow in the basilar artery. J. Biomechanics22, 1193–1202 (1989).

    Google Scholar 

  6. J. K. B. Krijger, B. Hillen, H. W. Hoogstraten, and M. P. M. G. van den Raadt,Steady two-dimensional merging flow from two channels into a single channel. Appl. Sci. Research47, 233–246 (1990).

    Google Scholar 

  7. J. K. B. Krijger, B. Hillen, and H. W. Hoogstraten,Pulsating entry flow in a plane channel. J. Appl. Math. Phys. (ZAMP)42, 139–153 (1991).

    Google Scholar 

  8. T. J. Pedley,The Fluid Mechanics of Large Blood Vessels. Cambridge University Press, Cambridge 1980.

    Google Scholar 

  9. R. Rieu, R. Pelissier, and D. Farahifar,An experimental investigation of flow characteristics in bifurcation models. Eur. J. Mech.8, 1, 73–101 (1989).

    Google Scholar 

  10. C. C. M. Rindt,Analysis of the three-dimensional flow field in the carotid artery bifurcation. Ph.D. Thesis, University of Eindhoven 1989.

  11. R. Skalak, N. Özkaya, and T. C. Skalak,Biofluid mechanics. Ann. Rev. Fluid Mech.21, 167–204 (1989).

    Google Scholar 

  12. N. Westerhof, P. Sipkema, G. Elzinga, J. P. Murgo and J. P. Giolma (1979)Arterial impedance, In: Hwang N. H. C., Gross D. R., and Patel D. J. (eds.),Qualitative Cardiovascular Studies, Clinical and Research Applications of Engineering Principles, University Park Press, Baltimore 1979.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept of Mathematics, University of Groningen, P.O. Box 800, 9700, AV Groningen

    J. K. B. Krijger

  2. Dept of Functional Anatomy, University of Utrecht, Utrecht

    B. Hillen

  3. Dept of Mathematics, University of Groningen, P. O. Box 800, 9700, AV Groningen, The Netherlands

    H. W. Hoogstraten

Authors
  1. J. K. B. Krijger
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Hillen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. W. Hoogstraten
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krijger, J.K.B., Hillen, B. & Hoogstraten, H.W. A two-dimensional model of pulsating flow in the basilar artery. Z. angew. Math. Phys. 42, 649–662 (1991). https://doi.org/10.1007/BF00944764

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00944764

Keywords

Search

Navigation