Skip to main content
SpringerLink
Log in

A Numerical Model for Two-Dimensional Oscillatory Flow and Oxygen Transfer in the Axial Plasmatic Gaps of Capillaries

  • Conference paper
Theoretical and Clinical Hemorheology

  • 90 Accesses

Abstract

Time varying flows of plasma in the axial gaps between erythrocytes in a mathematical model of a capillary have been solved from the complete Navier-Stokes equations by a finite-difference method. The erythrocytes are considered to be disk-like and to span the entire lumen. Secondary flow patterns, pressure and shear distributions between the erythrocytes are obtained as a function of time, and the pressure drop is compared with previous results for steady creeping flow. The rate of oxygen transfer from the cells is calculated from a numerical solution of the convective diffusion equation.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. BRANDT, A., BUGLIARELLO, G.: Proceedings, 18th Annual Conference on Engineering in Medicine and Biology, 1965, p. 159.

    Google Scholar 

  2. BUGLIARELLO, G., HSIAO, G.C.C.: Digest, 7th International Conference on Engineering and Biology, Stockholm, 1967, p. 376.

    Google Scholar 

  3. BUGLIARELLO, G., HSIAO, G.C.C.: Biorheology 7, 5 (1970).

    PubMed  CAS  Google Scholar 

  4. BUGLIARELLO, G., HOSKINS, J.W.: Digest, 19th Annual Conference on Engineering in Medicine and Biology, San Francisco, 1968, p. 185.

    Google Scholar 

  5. WANG, H., SKALAK, R.: “Viscous Flow in a Cylindrical Tube Containing a Line of Spherical Particles”, Technical Report No. 1 Project No. NR 062-393, Department of Civil Engineering and Engineering Mechanics, Columbia University (1967).

    Google Scholar 

  6. CHEN, T.C., SKALAK, R.: “Spheroidal Particle Flow in a Cylindrical Tube”, Technical Report No. 2, Project No. NR 062-393, Department of Civil Engineering and Engineering Mechanics, Columbia University (1968).

    Google Scholar 

  7. PROTHERO, J.W., BURTON, A.C.: Biophysical Journal 1, 565 (1962); 2, 199 (1962).

    Article  CAS  Google Scholar 

  8. SUTERA, S.P., HOCHMUTH, R.M.: Biorheology 5, 45 (1968).

    PubMed  CAS  Google Scholar 

  9. HUNG, T.K.: Proceedings, 5th International Congress on Rheology, Kyoto, Japan 2, 115 (1970).

    Google Scholar 

  10. HUNG, T.K.: Proceedings, 13th International Congress of Hydraulic Research, Kyoto, Japan, Sept. 1969, 2, B35-1 to 6, Errata 3–4.

    Google Scholar 

  11. HARLOW, F.H., WELCH, J.E.: The Physics of Fluids, 8, 2182 (1965)

    Article  Google Scholar 

  12. HUNG, T.K., WEISSMAN, M.H.: “Three-Dimensiona1 Flow in an Oxygenator”, Medical and Biological Engineering (in press).

    Google Scholar 

  13. WEISSMAN, M.H., HUNG, T.K.: A.I.Ch.E. Journal, 17, 25 (1971).

    Article  Google Scholar 

  14. WEISSMAN, MOCKROS, L.F.: J. of the Eng. Mech. Div. ASCE 93, 225 (1967).

    Google Scholar 

  15. WHITMORE, R.L.: Rheology of the Circulation, Oxford: Pergamon Press, 90 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Biotechnology Committee, Carnegie-Mellon University, Schenley Park, Pittsburgh, Pennsylvania, 15213, USA

    T.-K. Hung & M. H. Weissman

  2. School of Engineering, University of Illinois at Chicago Circle, Chicago, Illinois, USA

    G. Bugliarello (Dean)

Authors
  1. T.-K. Hung
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. H. Weissman
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. Bugliarello
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Städtisches Krankenhaus, Kaiserslautern, West Germany

    Hellmut H. Hartert (Medical Director Professor of Medicine) (Medical Director Professor of Medicine)

  2. Medical Faculty, Saar University, Homburg/Saarbrücken, West Germany

    Hellmut H. Hartert (Medical Director Professor of Medicine) (Medical Director Professor of Medicine)

  3. Hemorrhage and Thrombosis Research Laboratories, USA

    Alfred L. Copley (Chief Research Director Adjunct Research Professor of Bioengineering) (Chief Research Director Adjunct Research Professor of Bioengineering)

  4. Department of Pharmacology, New York Medical College, New York, NY, 10029, USA

    Alfred L. Copley (Chief Research Director Adjunct Research Professor of Bioengineering) (Chief Research Director Adjunct Research Professor of Bioengineering)

  5. Newark College of Engineering, Newark, NY, 07102, USA

    Alfred L. Copley (Chief Research Director Adjunct Research Professor of Bioengineering) (Chief Research Director Adjunct Research Professor of Bioengineering)

Rights and permissions

Reprints and permissions

Copyright information

© 1971 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Hung, TK., Weissman, M.H., Bugliarello, G. (1971). A Numerical Model for Two-Dimensional Oscillatory Flow and Oxygen Transfer in the Axial Plasmatic Gaps of Capillaries. In: Hartert, H.H., Copley, A.L. (eds) Theoretical and Clinical Hemorheology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65156-4_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-65156-4_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65158-8

  • Online ISBN: 978-3-642-65156-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation