Hostname: page-component-77c89778f8-n9wrp Total loading time: 0 Render date: 2024-07-16T09:51:05.386Z Has data issue: false hasContentIssue false
  • English
  • Français

Flow of elastic compressible spheres in tubes

Published online by Cambridge University Press:  19 April 2006

Hüsnü Tüzeren  and
Richard Skalak
Hüsnü Tüzeren
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, N.Y. 10027
Richard Skalak
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, N.Y. 10027
Get access Rights & Permissions [Opens in a new window]

Abstract

The flow of closely fitting neutrally buoyant elastic spheres through a circular cylindrical tube is considered under the assumptions that the Reynolds’ equation is valid in the fluid and equations of linear elasticity hold in the solid. Computations are carried out for several values of Poisson's ratio. The results are compared with the results of previous models on elastic compressible particles.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 95 , Issue 4 , 27 December 1979 , pp. 743 - 760
Copyright
© 1979 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cameron, A. 1966 Principles of Lubrication. Wiley.
Fitz-Gerald, J. M. 1969 Mechanics of red-cell motion through very narrow capillaries. Proc. Roy. Soc. B 174, 193–227.Google Scholar
Goldsmith, H. L. & Skalak, R. 1975 Hemodynamics. Ann. Rev. Fluid Mech. 7, 213–297.Google Scholar
Lighthill, M. J. 1968 Pressure forcing of tightly-fitting pellets along fluid-filled elastic tubes. J. Fluid Mech. 34, 113–143.Google Scholar
Love, A. E. H. 1944 A Treatise of the Mathematical Theory of Elasticity, 4th edition. Dover.
Skalak, R., Chen, P. H. & Chien, S. 1972 Effect of hematocrit and rouleaux on apparent viscosity in capillaries. Biorheol. 9, 67–82.Google Scholar
TöZEREN, H. & Skalak, R. 1978 The steady flow of closely fitting incompressible elastic spheres in a tube. J. Fluid Mech. 87, 1–16.Google Scholar