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Published January 2009 | Published
Journal Article Open

Compressible viscous flows generated by oscillating flexible cylinders

Abstract

The fluid dynamics of oscillating elastic beams underpin the operation of many modern technological devices ranging from micromechanical sensors to the atomic force microscope. While viscous effects are widely acknowledged to have a strong influence on these dynamics, fluid compressibility is commonly neglected. Here, we theoretically study the three-dimensional flow fields that are generated by the motion of flexible cylinders immersed in viscous compressible fluids and discuss the implications of compressibility in practice. We consider cylinders of circular cross section and flat blades of zero thickness that are executing flexural and torsional oscillations of arbitrary wave number. Exact analytical solutions are derived for these flow fields and their resulting hydrodynamic loads.

Copyright and License

© 2009 American Institute of Physics.

Acknowledgement

This research was supported by the Particulate Fluids Processing Centre of the Australian Research Council and by the Australian Research Council Grants scheme.

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October 9, 2023
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October 9, 2023