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Drag on eccentrically positioned spheres translating and rotating in tubes

Published online by Cambridge University Press:  20 April 2006

HÜSnÜ TÖZeren
HÜSnÜ TÖZeren
Affiliation:
Department of Engineering Sciences, Middle East Technical University, Ankara, Turkey
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Abstract

The steady motion of an eccentrically positioned sphere in a circular cylindrical tube filled with viscous fluid is considered as a regular perturbation of the axisymmetric problem. A sequence of boundary-value problems is formulated involving Stokes equations and some linear boundary conditions. Solutions of the first- and second-order problems yield the leading terms in the perturbation series of the additional drag and the torque on the spheres. The results are found to be in good agreement with the previous off-axis solutions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 129 , April 1983 , pp. 77 - 90
Copyright
© 1983 Cambridge University Press

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References

Bungay, P. M. & Brenner, H. 1973 The motion of a closely-fitting sphere in a fluid filled tube Int. J. Multiphase Flow 1, 25–56.Google Scholar
Haberman, W. L. & Sayre, R. M. 1958 David Taylor Model Basin Rep. no. 1143.
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice-Hall.
Leichtberg, S., Pfeffer, R. & Weinbaum, S. 1976 Stokes flow past finite co-axial clusters of spheres in a circular cylinder Int. J. Multiphase Flow 1, 147–169.Google Scholar
Tözeren, H. 1982a Torque on eccentric spheres flowing in tubes. Trans A.S.M.E. E: J. Appl. Mech. 49, 279–283.Google Scholar
Tözeren, H. 1982b Application of boundary integral equation method to some Stokes problems. J. Num. Meth. in Fluids. In press.
Wang, H. & Skalak, R. 1969 Viscous flow in a cylindrical tube containing a line of spherical particles J. Fluid Mech. 38, 75–96.Google Scholar