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The motion of long slender bodies in a viscous fluid Part 1. General theory

Published online by Cambridge University Press:  29 March 2006

R. G. Cox
R. G. Cox
Affiliation:
Pulp and Paper Research Institute of Canada and Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada
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Abstract

A solid long slender body is considered placed in a fluid undergoing a given undisturbed flow. Under conditions in which fluid inertia is negligible, the force per unit length on the body is obtained as an asymptotic expansion in terms of the ratio of the cross-sectional radius to body length. Specific examples are given for the resistance to translation of long slender bodies for cases in which the body centre-line is curved as well as for those for which the centre-line is straight.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 44 , Issue 4 , 16 December 1970 , pp. 791 - 810
Copyright
© 1970 Cambridge University Press

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References

Anczurowski, E., Cox, R. G. & Mason, S. G. 1967 J. Colloid Sci. 23, 54.
Anczurowski, E. & Mason, S. G. 1967a J. Colloid Sci. 23, 52.
Anczurowski, E. & Mason, S. G. 1967b J. Colloid Sci. 23, 53.
Batchelor, G. K. 1970 J. Fluid Mech. 44, 41.
Brenner, H. 1964 Chem. Engng Sci. 19, 51.
Broersma, S. 1960 J. Chem. Phys. 32, 163.
Burgers, J. M. 1938 Second Report on Viscosity and Plasticity. Amsterdam: North Holland Publ. Co.
Forgacs, O. L. & Mason, S. G. 1959a J. Colloid Sci. 14, 45.
Forgacs, O. L. & Mason, S. G. 1959b J. Colloid Sci. 14, 47.
Jeffery, G. B. 1922 Proc. Roy. Soc. A 102, 161.
Oberbeck, H. A. 1876 Crelles J. 81, 7.
Payne, L. E. & Pell, W. H. 1960 J. Fluid Mech. 7, 52.
Stokes, G. G. 1851 Trans. Camb. Phil. Soc. 9, 8.
Tchen, C. 1954 J. Appl. Phys. 25, 46.
Tillett, J. P. K. 1970 J. Fluid Mech. 44, 40.
Tuck, E. O. 1964 J. Fluid Mech. 18, 61.