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Inertia effects on the motion of long slender bodies

Published online by Cambridge University Press:  26 April 2006

R. E. Khayat  and
R. G. Cox
R. E. Khayat
Affiliation:
Pulp and Paper Research Institute of Canadaand Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada H3A 2K6 Present address: Department of Chemistry, McGill University.
R. G. Cox
Affiliation:
Pulp and Paper Research Institute of Canadaand Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada H3A 2K6
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Abstract

A solid long slender body with curved centreline is held at rest in a fluid undergoing a uniform flow. Assuming that the Reynolds number Re based on body length is fixed, the force per unit length on the body is obtained as an asymptotic expansion in terms of the ratio κ of the cross-sectional radius to body length. In the limit of large Re, this result is no longer valid and an asymptotic expansion in κRe is necessary. A uniformly valid solution is obtained from these two expansions. The total force and torque acting on a body with a straight centreline are explicitly determined. The limiting cases of small and large Re are studied in detail.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 209 , December 1989 , pp. 435 - 462
Copyright
© 1989 Cambridge University Press

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References

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