Skip to main content

Flow of a Blood Analogue Solution Through Microfabricated Hyperbolic Contractions

  • Chapter
  • First Online:

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 19))

Abstract

The flow of a blood analogue solution past a microfabricated hyperbolic contraction followed by an abrupt expansion was investigated experimentally. The shape of the contraction was designed in order to impose a nearly constant strain rate to the fluid along the centerline of the microgeometry. The flow patterns of the blood analogue solution and of a Newtonian reference fluid (deionized water), captured using streak line imaging, are quite distinct and illustrate the complex behavior of the blood analogue solution flowing through the microgeometry. The flow of the blood analogue solution shows elastic-driven effects with vortical structures emerging upstream of the contraction, which are absent in Newtonian fluid flow. In both cases the flow also develops instabilities downstream of the expansion but these are inertia driven. Therefore, for the blood analogue solution at high flow rates the competing effects of inertia and elasticity lead to complex flow patterns and unstable flow develops.

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

Buying options

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 EPUB and 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
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

References

  1. Bird, R.B., Armstrong, R.C., Hassager O.: Dynamics of Polymeric Liquids. Volume 1: Fluid Dynamics Wiley, New York(1987)

    Google Scholar 

  2. Caro, C.G., Pedley, T.G., Seed, W.A.: Mechanics of the Circulation. Medical and Technical Publishers, London(1974)

    Google Scholar 

  3. Cherdron, W., Durst, F., Whitelaw, J.H.: Asymmetric flows and instabilities in symmetric ducts with sudden expansions. J Fluid Mech 84, 13–31(1978)

    Article  Google Scholar 

  4. Entov, V.M., Hinch, E.J.: Effect of a spectrum of relaxation times on the capillary thinning of a filament of elastic liquid. J Non-Newt Fluid Mech 72, 31–54(1997)

    Article  Google Scholar 

  5. Ku, D.N.: Blood flow in arteries. Annual Rev Fluid Mech 29, 399–434(1997)

    Article  MathSciNet  Google Scholar 

  6. McDonald, J.C., Duffy, D.C., Anderson, J.R., et al.: Fabrication of microfluidic systems in poly(dimethylsiloxane). Electrophoresis 21, 27–40(2000)

    Article  Google Scholar 

  7. McKinley, G.H., Rodd, L.E., Oliveira, M.S.N., et al.: Extensional flows of polymeric solutions in microfluidic converging/diverging geometries. J Cent South Univ Technol 14, 6–9(2007)

    Article  Google Scholar 

  8. Oliveira, M.S.N., Alves, M.A., Pinho, F.T., et al.: Viscous flow through microfabricated hyperbolic contractions. Exp Fluids 43, 437–451(2007)

    Article  Google Scholar 

  9. Oliveira, M.S.N., Rodd, L.E., McKinley, G.H., et al.: Simulations of extensional flow in microrheometric devices. Microfluid Nanofluid 5, 809–826(2008)

    Article  Google Scholar 

  10. Owens, R.J.: A new microstructure-based constitutive model for human blood. J Non-Newt Fluid Mech 140, 57–70(2006)

    Article  MATH  Google Scholar 

  11. Phan-Thien, N., Tanner, R.I.: A new constitutive equation derived from network theory. J Non-Newt Fluid Mech 2, 353–365(1977)

    Article  Google Scholar 

  12. Poole, R.J., Pinho, F.T., Alves, M.A., etal: The effect of expansion ratio for creeping expansion flows of UCM fluids. J Non-Newt Fluid Mech 163, 35–44(2009)

    Article  Google Scholar 

  13. Sdougos, H.P., Bussolari, S.R., Dewey, C.F.: Secondary flow and turbulence in a cone-and-plate device. J Fluid Mech 138, 379–404(1984)

    Article  Google Scholar 

  14. Thurston, G.B.: Viscoelastic properties of blood and blood analogs. Adv Hemodyn Hemorheol 1, 1–30(1996)

    Google Scholar 

  15. Turitto, V.T.: Blood viscosity mass transport and thrombogenesis. Prog Hemost Thrombog 6, 139–177(1982)

    Google Scholar 

  16. Vlastos, G., Lerche, D., Koch, B., et al.: The effect of parallel combined steady and oscillatory shear flows on blood and polymer solutions. Rheol Acta 36, 160–172(1997)

    Google Scholar 

  17. Waite, L., Fine, J.: Applied Biofluid Mechanics. McGraw-Hill, New York(2007)

    Google Scholar 

  18. Xue, S.-C., Phan-Thien, N., Tanner, R.I. Numerical study of secondary flows of viscoelastic fluid in straight pipes by an implicit finite volume method. J Non-Newt Fluid Mech 59, 191–213 (1995)

    Article  Google Scholar 

  19. Yilmaz, F., Gundogdu, M.Y.: A critical review on blood flow in large arteries; relevance to blood rheology, viscosity models, and physiologic conditions. Korea-Aust Rheol J 20, 197–211 (2008)

    Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge funding by FCT via projects PTDC/EQU-FTT/71800/2006, REEQ/262/EME/2005, REEQ/928/EME/2005, PTDC/EME-MFE/099109/2008 and PTDC/EQU-FTT/70727/2006. In addition, PCS and ISP acknowledge the financial support of scholarships SFRH/BD/28846/2006 and CEFT/BII/2008/01.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. S. N. Oliveira .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Sousa, P.C., Pinho, I.S., Pinho, F.T., Oliveira, M.S.N., Alves, M.A. (2011). Flow of a Blood Analogue Solution Through Microfabricated Hyperbolic Contractions. In: Tavares, J., Jorge, R. (eds) Computational Vision and Medical Image Processing. Computational Methods in Applied Sciences, vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0011-6_15

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-0011-6_15

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0010-9

  • Online ISBN: 978-94-007-0011-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics