Flow around a rotating, semi-infinite cylinder in an axial stream

Abstract

This paper concerns steady, high-Reynolds-number flow around a semi-infinite, rotating cylinder placed in an axial stream and uses boundary-layer type of equations which apply even when the boundary-layer thickness is comparable to the cylinder radius, as indeed it is at large enough downstream distances. At large rotation rates, it is found that a wall jet appears over a certain range of downstream locations. This jet strengthens with increasing rotation, but first strengthens then weakens as downstream distance increases, eventually disappearing, so the flow recovers a profile qualitatively similar to a classical boundary layer. The asymptotic solution at large streamwise distances is obtained as an expansion in inverse powers of the logarithm of the distance. It is found that the asymptotic radial and axial velocity components are the same as for a non-rotating cylinder, to all orders in this expansion.

Global stability analysis of axisymmetric boundary layer on a slender circular cone with the streamwise adverse pressure gradient

“…Herrada and Pino [17], in their research, presented that non-parallel effects of the base flow have a significant impact on the axisymmetric boundary layer developed on a rotating circular cylinder. Murlidhar et al [18] computed eigenmodes of the axisymmetric boundary layer developed on a rotating circular cylinder at high Reynolds number and found that the increase in the rotation rate increases the wall jet effect. The two dimensional global modes have been computed for the flat-plate boundary layer by numerical solution of two dimensional general eigenvalue problem [10,[19][20][21].…”

Instability of flow around a rotating, semi-infinite cylinder

“…Such flows are often due to rotating bodies as, for example, disks [3,4], cones [5,6], or spheres [7]. Here, we consider a semi-infinite cylinder, rotating about its axis and placed in a high-Reynolds-number axial stream, thus inducing a steady, axisymmetric, three-velocity-component boundary layer whose flow field depends on rotation and curvature of the cylinder, as we have already described in an earlier paper [8], henceforth referred to as I. In this paper, we study the stability of this flow for a wide range of parameters, to determine the effects of rotation and curvature.…”