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Viscous damping forces on oscillating cylinders

Brouwers, J.J.H. / Meijssen, T.E.M.

AbstractTheoretical descriptions have been derived for the fluid force on a sinusoidally vibrating cylinder. The descriptions were obtained by applying perturbation expansion techniques to the Navier-Stokes equations based on small amplitude-to-radius ratio $ϵ = e/a$ and large vibratory Reynolds number $R = a$ ² ω/ν, where ω is frequency of vibration and ν is kinematic viscosity. By developing solutions for higher-order terms in the perturbation expansion involving ϵ, information was obtained on the behaviour of the hydrodynamic force as ϵ increases. Results derived, supplemented with experimental evidence, indicate that the hydrodynamic damping force changes rather abruptly from viscous damping as described by Stokes, to much larger quadratic fluid drag at $ϵ = 0(1)$ .

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Viscous damping forces on oscillating cylinders

Brouwers, J.J.H. / Meijssen, T.E.M.

AbstractTheoretical descriptions have been derived for the fluid force on a sinusoidally vibrating cylinder. The descriptions were obtained by applying perturbation expansion techniques to the Navier-Stokes equations based on small amplitude-to-radius ratio $ϵ = e/a$ and large vibratory Reynolds number $R = a$ ² ω/ν, where ω is frequency of vibration and ν is kinematic viscosity. By developing solutions for higher-order terms in the perturbation expansion involving ϵ, information was obtained on the behaviour of the hydrodynamic force as ϵ increases. Results derived, supplemented with experimental evidence, indicate that the hydrodynamic damping force changes rather abruptly from viscous damping as described by Stokes, to much larger quadratic fluid drag at $ϵ = 0(1)$ .

Viscous damping forces on oscillating cylinders

Brouwers, J.J.H. / Meijssen, T.E.M.

AbstractTheoretical descriptions have been derived for the fluid force on a sinusoidally vibrating cylinder. The descriptions were obtained by applying perturbation expansion techniques to the Navier-Stokes equations based on small amplitude-to-radius ratio $ϵ = e/a$ and large vibratory Reynolds number $R = a$ ² ω/ν, where ω is frequency of vibration and ν is kinematic viscosity. By developing solutions for higher-order terms in the perturbation expansion involving ϵ, information was obtained on the behaviour of the hydrodynamic force as ϵ increases. Results derived, supplemented with experimental evidence, indicate that the hydrodynamic damping force changes rather abruptly from viscous damping as described by Stokes, to much larger quadratic fluid drag at $ϵ = 0(1)$ .

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Title:

Viscous damping forces on oscillating cylinders

Contributors:

Brouwers, J.J.H. (author) / Meijssen, T.E.M. (author)

Published in:

Applied Ocean Research ; 7 ; 118-123

Publication date:

1985-01-01

Size:

6 pages

ISSN:

DOI:

https://doi.org/10.1016/0141-1187(85)90001-X

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

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