The steady flow of closely fitting incompressible elastic spheres in a tube-Reference-Cited by-同舟云学术

The steady flow of closely fitting incompressible elastic spheres in a tube

Published:1978-07-12 Issue:1 Volume:87 Page:1-16
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Tözeren Hüsnü,Skalak Richard

Abstract

The steady flow of a suspension of closely fitting, neutrally buoyant, incompressible and elastic spheres through a circular cylindrical tube is investigated under the assumption that lubrication theory is valid in the fluid region. A series solution giving the displacement field of an elastic incompressible sphere under axisymmetrically distributed surface tractions is developed. It is found that, for closely fitting particles, flow properties of the suspension are strongly dependent on the shear modulus of the elastic material and the velocity of the particle.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference21 articles.

1. Aroesty, J. & Gross, J. F. 1970 Convection and diffusion in the microcirculation.Microvasc. Res. 2,247–267.

2. Hyman, W. A. & Skalak, R. 1972 Non-Newtonian behaviour of a suspension of liquid drops in fluid flow.A.I.Ch.E. J. 18,149–154.

3. Skalak, R. 1970 Extensions of extremum principles for slow viscous flows.J. Fluid Mech. 42,527–548.

4. Zarda, P. R. , Chien, S. & Skalak, R. 1977a Elastic deformation of red blood cells.J. Biomech. 10,211–221.

5. Fitz-Gerald, J. M. 1969 Mechanics of red-cell motion through very narrow capillaries.Proc. Roy. Soc. B174,193–227.

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