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

Published online by Cambridge University Press:  12 April 2006

Hüsnü Tözeren  and
Richard Skalak
Hüsnü Tözeren
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York 10027
Richard Skalak
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York 10027
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 87 , Issue 1 , 12 July 1978 , pp. 1 - 16
Copyright
© 1978 Cambridge University Press

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