Research output: Working paper

**Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder.** / Ilin, Konstantin; Sadiq, Muhammad A.

Research output: Working paper

Ilin, K & Sadiq, MA 2010 'Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder'. <http://arxiv.org/abs/1008.4704v2>

Ilin, K., & Sadiq, M. A. (2010). *Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder*. http://arxiv.org/abs/1008.4704v2

Ilin K, Sadiq MA. Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder. 2010 Nov.

@techreport{34a674f1df6443ec9d96faaa563d78ef,

title = "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 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. ",

keywords = "Fluid Dynamics, mathematical physics",

author = "Konstantin Ilin and Sadiq, {Muhammad A.}",

year = "2010",

month = nov,

language = "English",

type = "WorkingPaper",

}

TY - UNPB

T1 - Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder

AU - Ilin, Konstantin

AU - Sadiq, Muhammad A.

PY - 2010/11

Y1 - 2010/11

N2 - 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.

AB - 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.

KW - Fluid Dynamics

KW - mathematical physics

M3 - Working paper

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

ER -