Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder
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 VishikLyusternik method is employed to construct an asymptotic expansion of the solution of the NavierStokes equations in the limit of highfrequency 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.
 Publication:

arXiv eprints
 Pub Date:
 August 2010
 arXiv:
 arXiv:1008.4704
 Bibcode:
 2010arXiv1008.4704I
 Keywords:

 Physics  Fluid Dynamics;
 Mathematical Physics