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Motion of a Fluid through a Vibrating Pipe

Abstract

I HAVE shown1 that for the laminar flow of a fluid through a pipe the friction factor is increased when the pipe is vibrated in a direction perpendicular to the flow, the magnitude of the increase depending on the vibration amplitude and frequency, pipe diameter, kinematic viscosity and mean flow velocity. The purpose of this communication is to investigate the cause of this effect for small vibrations.

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References

  1. Morton, A. S., Nature, 217, 43 (1968).

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  2. Andrade, E. N. Da C., Proc. Roy. Soc., A, 134, 445 (1931).

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  3. Schlichting, H., Physik. Z., XXXIII, 327 (1932).

  4. Dean, W. R., Phil. Mag., S.7.5, 673 (1928).

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MORTON, A. Motion of a Fluid through a Vibrating Pipe. Nature 217, 838–840 (1968). https://doi.org/10.1038/217838a0

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