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Viscous flow through a grating or lattice of cylinders

Published online by Cambridge University Press:  28 March 2006

Joseph B. Keller
Joseph B. Keller
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, N.Y.
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Abstract

Viscous flow perpendicular to a line (or ‘grating’) of evenly spaced identical cylinders is considered in the case when the spacing between the cylinders is much smaller than their cross-sectional dimensions. Lubrication theory is used to find the pressure drop across the grating and hence the force on each cylinder. A square array (or ‘lattice’) of closely packed cylinders is similarly treated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 18 , Issue 1 , January 1964 , pp. 94 - 96
Copyright
© 1964 Cambridge University Press

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References

Buchal, R. N. & Keller, J. B. 1963 J. Appl. Phys. 34, 3414.
Hasimoto, H. 1959 J. Fluid Mech. 5, 317.
Keller, J. B. 1963 J. Appl. Phys. 34, 991.