0
TECHNICAL BRIEFS

Blood Flow in Small Curved Tubes

[+] Author and Article Information
C. Y. Wang

Departments of Mathematics and Physiology, Michigan State University, East Lansing, MI 48824

J. B. Bassingthwaighte

Center for Bioengineering, University of Washington, Seattle, WA 98195

J Biomech Eng 125(6), 910-913 (Jan 09, 2004) (4 pages) doi:10.1115/1.1634992 History: Received September 05, 2002; Revised August 01, 2003; Online January 09, 2004
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Pries,  A. R., Secomb,  T. W., Gaehtgens,  P., 1966, “Biophysical Aspects of Blood Flow in the Microvasculature,” Cardiovasc. Res., 32, pp. 654–667.
Bishop,  J. J., Popel,  A. S., Intaglietta,  M., Johnson,  P. C., 2001, “Rheological Effects of Red Blood Cell Aggregation in the Venous Network: A Review of Recent Studies,” Biorheology, 38, pp. 263–274.
Vand,  V., 1948, “Viscosity of Solutions and Suspensions I Theory,” J. Phys. Chem.-US, 52, pp. 277–299.
Hayes,  R. H., 1960, “Physical Basis of the Dependence of Blood Viscosity on Tube Radius,” Am. J. Physiol., 198, pp. 1193–1200.
Sharan,  M., and Popel,  A. S., 2001, “A Two-Phase Model for Flow of Blood in Narrow Tubes With Increased Effective Viscosity Near the Wall,” Biorheology, 38, pp. 415–428.
Nicola, P. D., Maggi, G., and Tassi, G. 1983, Microcirculation-An Atlas, Schattauer, Stuttgart.
Dean,  W. R., 1927, “Note on the Motion of a Fluid in a Curved Pipe,” Phil. Mag. Ser. 7, 4, pp. 208–233.
Berger,  S. A., Talbot,  L., and Yao,  L. S., 1983, “Flow in Curved Pipes,” Annu. Rev. Fluid Mech., 15, pp. 461–512.
Batchelor, G. K., 1967, An Introduction to Fluid Dynamics, Cambridge Univ. Press Appendix 2.
Secomb, T. W., 1995, “Mechanics of Blood Flow in the Microcirculation,” in Biological Fluid Dynamics, C. P. Ellington and T. J. Pedley Eds. Soc. Exp. Biol., Cambridge, MA pp. 305–321.

Figures

Grahic Jump Location
(a) The curved tube coordinates (r,θ,s). The direction s is along the center line. (b) Axial cross section showing two fluid regions and the blunted velocity profile.
Grahic Jump Location
Typical velocity profiles (δ=0.1,α=3.2,θ=0). The first-order correction w1 due to curvature is anti-symmetric.
Grahic Jump Location
The flow rate as a function of δ. (α=3.317).q0 is for the straight tube, q2 is the correction due to curvature.
Grahic Jump Location
Relative apparent viscosity as a function of diameter –glass tube experiments 10, [[dashed_line]] Eq. (A8)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In