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Small amplitude oscillations of a flexible thin blade in a viscous fluid: Exact analytical solution

Phys. Fluids 18, 123102 (2006); doi:10.1063/1.2395967

Published 13 December 2006

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Cornelis A. Van Eysden and John E. Sader
Department of Mathematics and Statistics, University of Melbourne, Victoria, 3010, Australia
The oscillation of a thin blade immersed in a viscous fluid has received considerable attention recently due to its importance in technological applications such as the atomic force microscope and microelectromechanical systems. In this article, we consider the general case of a flexible thin blade executing spatially varying small amplitude oscillations in a viscous fluid. Exact analytical solutions for the three-dimensional flow field and hydrodynamic load are derived for both normal and torsional oscillations of arbitrary wave number. This contrasts previous investigations that focus exclusively on the complementary rigid-blade problem, which is two-dimensional, and rely on computational techniques. ©2006 American Institute of Physics
History: Received 5 May 2006; accepted 19 October 2006; published 13 December 2006
Permalink: http://link.aip.org/link/?PHFLE6/18/123102/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.85.Dh
    Hydrodynamics, hydraulics, hydrostatics (applied)
  • 89.20.Kk
    Engineering
  • YEAR: 2006

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PUBLICATION DATA

ISSN:
1070-6631 (print)   1089-7666 (online)
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REFERENCES (22)
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