Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder

2010/08/27 by Konstantin Ilin, Ilin, K., Muhammad Sadiq +1 · 1 citation
Engineering · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Lattice Boltzmann Simulation Studies #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1008.4704

openalex publication_date 2010/08/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the steady streaming between two infinitely long circular cylinders produced by small amplitude transverse vibrations of the inner cylinder about the axis of the outer cylinder. The Vishik-Lyusternik method is employed to construct an asymptotic expansion of the solution of the Navier-Stokes equations in the limit of high-frequency vibrations for Reynolds numbers of order of unity. The effect of the Stokes drift of fluid particles is also studied. It is shown that it is nonzero not only within the boundary layers but also in higher order terms of the expansion of the averaged outer flow.

Citations

• Mass transport in water waves

Cited by

• Steady streaming between two vibrating planes at high Reynolds numbers

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