Skip to main content
SpringerLink
Log in

The modified Casson’s equation and its application to pipe flows of shear-thickening fluid

  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

A few additional data from our previous experiments were plotted to emphasize the shear-thickening behavior of deoxy sickle erythrocyte (SS) suspension. A constitutive equation (named as FX equation) was developed and applied to a cylindrical pipe flow of a shear-thickening fluid. A blunt velocity profile and its volume flow rate were calculated. The flow was non-viscous (potential) in the central part of the pipe (i.e. the central core or the central plug-flow), and became more and more viscous towards the wall of the pipe after a specific radial distance, which was determined by a critical shear rate of (named as Fung’s shear rate). Furthermore, combining the FX equation with the original Casson’s equation, the author obtained a modified Casson’s equation by introducing .

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

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

References

  1. Fung, Y.C.: Biomechanics, Mechanical Properties of Living Tissues. Springer Verlag, New York, 1981

  2. White, F.M.: Viscous Fluid Flow. McGraw-Hill, New York, 1974

  3. Chien, S., Usami, S., Bertles, J.F.: Abnormal rheology of oxygenated blood in sickle cell anemia. J. Clin. Invest. 49, 623 (1970)

    Google Scholar 

  4. Oka, S.: Rheology-Biorheology. Kyokabo, Tokyo, 1974

  5. Chien, S., Usami, S., Dellenback, R.J., Gregersen, M.I.: Shear-dependent deformation of erythrocytes in rheology of human blood. American Journal of Physiology 219, 136 (1970)

    Google Scholar 

  6. Kaul, D.K., Xue, H.: Rate of deoxygenation and rheology behavior of blood in sickle cell anemia. Blood, The Journal of the American Society of Hematology 77(6), 1353 (1991)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The Research Association of Oriental Medical Engineering, 2015 Hering Ave. Bronx, NY, 10461, USA

    Hao Xue

Authors
  1. Hao Xue
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hao Xue.

Additional information

The English text was polished by Yunming Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xue, H. The modified Casson’s equation and its application to pipe flows of shear-thickening fluid. ACTA MECH SINICA 21, 243–248 (2005). https://doi.org/10.1007/s10409-005-0038-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-005-0038-6

Keywords

Search

Navigation