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

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
Copyright
© 1983 Cambridge University Press

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References

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