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On the movement of slender bodies near plane boundaries at low Reynolds number

Publication ,  Journal Article
Katz, DF; Blake, JR; Paveri-Fontana, SL
Published in: Journal of Fluid Mechanics
December 9, 1975

Normal and tangential resistance coefficients are calculated for a rigid slender body close to a planar no-slip boundary or midway between and close to two such boundaries. The important length scale is found to be the separation distance from the boundaries, and the forces per unit length acting on the slender body are approximately constant along most of its length. Owing to the presence of the walls, the ratio of the normal and tangential resistance coefficients can be greater than 2, its maximum limiting value in the infinite-fluid case. Applications to the movements of flagellated micro-organisms are discussed. © 1975, Cambridge University Press. All rights reserved.

Duke Scholars

Published In

Journal of Fluid Mechanics

DOI

EISSN

1469-7645

ISSN

0022-1120

Publication Date

December 9, 1975

Volume

72

Issue

3

Start / End Page

529 / 540

Related Subject Headings

  • Fluids & Plasmas
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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Katz, D. F., Blake, J. R., & Paveri-Fontana, S. L. (1975). On the movement of slender bodies near plane boundaries at low Reynolds number. Journal of Fluid Mechanics, 72(3), 529–540. https://doi.org/10.1017/S0022112075003126
Katz, D. F., J. R. Blake, and S. L. Paveri-Fontana. “On the movement of slender bodies near plane boundaries at low Reynolds number.” Journal of Fluid Mechanics 72, no. 3 (December 9, 1975): 529–40. https://doi.org/10.1017/S0022112075003126.
Katz DF, Blake JR, Paveri-Fontana SL. On the movement of slender bodies near plane boundaries at low Reynolds number. Journal of Fluid Mechanics. 1975 Dec 9;72(3):529–40.
Katz, D. F., et al. “On the movement of slender bodies near plane boundaries at low Reynolds number.” Journal of Fluid Mechanics, vol. 72, no. 3, Dec. 1975, pp. 529–40. Scopus, doi:10.1017/S0022112075003126.
Katz DF, Blake JR, Paveri-Fontana SL. On the movement of slender bodies near plane boundaries at low Reynolds number. Journal of Fluid Mechanics. 1975 Dec 9;72(3):529–540.
Journal cover image

Published In

Journal of Fluid Mechanics

DOI

EISSN

1469-7645

ISSN

0022-1120

Publication Date

December 9, 1975

Volume

72

Issue

3

Start / End Page

529 / 540

Related Subject Headings

  • Fluids & Plasmas
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences